diff --git "a/data/dm_maths/full_data/1531_11255.jsonl" "b/data/dm_maths/full_data/1531_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1531_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -4*t - 12*t - 3*t. Suppose -5*r - 3*i + t*i + 751 = 0, -4*r = 4*i - 596. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at least as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(20) - (sqrt(180) + 1).\nAnswer: -4*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**4\/2 + i**3\/6 + i**2. Does 13 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*b + 6173 - 6169 = 0, 2*k + 4*b = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5629569541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 218552831 a multiple of 2863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 - 2*j**2 + 2*j - 1. Let d = -5 - -6. Let g be b(d). Suppose -g*c + c + 56 = -5*q, 0 = 4*c - 5*q - 149. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10\/(i\/i**(-1\/2))*i**(-11)\/(i\/i**1) assuming i is positive.\nAnswer: i**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**2 - 4*c + 21. Let b(z) = z**2 + z - 1. Determine 6*b(v) + o(v).\nAnswer: -2*v**2 + 2*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((3 - 3 - -16) + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 76362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 + 7720584*v - 23161761 = 0. Calculate v.\nAnswer: -7720587, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, -12, -1, 1, 4 in ascending order.\nAnswer: -14, -12, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130202 (base 6) to base 3.\nAnswer: -121002202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1800) + 0 - (-5*(sqrt(14)\/(sqrt(35)\/sqrt(5)) + sqrt(2)))**2.\nAnswer: -200 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.02 (b) -0.08 (c) -14 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698686 = -21*n - 193027. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212.7 + -86.6. Let w = 139 - o. Let v = 2.9 - w. What is the smallest value in -0.3, v, -0.5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2692, -2694, -2682, -2650, -2592?\nAnswer: -2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1402, 1153, 920, 709, 526?\n\"Answer: i**3 + 2*i**2 - 262*i + 1661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/150 + 171\/(-270).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/10)\/(-2))\/(63\/945)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(396))\/(sqrt(400)*2)*-3.\nAnswer: -9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 >= -13047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.84479 to 1 dp.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3527*u - 3173.\nAnswer: 3527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 291 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w**2 + w**2)*(407*w**2 + 276*w**2 - 104*w**2).\nAnswer: -1158*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n + 54. What is the common denominator of 272\/(-132) - (-3)\/n and -17\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-114 + -3)\/(-3) + 2. Suppose 0*q - 5*q = -x - 21, 4*x + 5*q = l. Find the first derivative of -4 - 7*m**x - m**4 + 12*m**4 + 11 wrt m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - j = 2214. Suppose -n = 2*p - 536, p - 22 = -2*n + j. 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 highest common divisor of 481 and 140859?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000001010010 (base 2) in base 5?\nAnswer: 2022400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11400000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lazgggzg. Give prob of picking 2 z, 1 l, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6480*a - 2442956. What is y(377)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-27) + 2\/(-30). Which is the nearest to -3? (a) o (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 2*d**3 + 3*d**2 - 2*d**2 to the form h*d + o*d**3 + c*d**2 + q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-9) - -2)*(-84)\/(-70). Solve 5 = -i*h + 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (40 + -32 + (-7 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvb when three letters picked without replacement from {b: 2, v: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8573973 - 93.972.\nAnswer: 8573879.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8850*j**5 - 2*j**4 + j**2 + 15385*j.\nAnswer: 177000*j**3 - 24*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3387 - -3391. Let b be (4\/(-3))\/(-4)*6. Let y be -1*(-3 + -2) - b. Solve 0 = 2*g + v*w + 26, -y*w - 14 = 2*g - 2*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*o**3 - 594*o**3 + 0*o + 0*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, -2\/62291357 in decreasing order.\nAnswer: -2\/62291357, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*p - 83 - 77, -5*p = 0. Let w = 171 - g. Solve 5*c + 3*a + a = -21, w = -3*c - 4*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myyyhhyhyyh. Give prob of picking 1 m and 3 h.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 182?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.33 + 2.43. Let k = 0.5 + -12.5. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -84*s + 2909. Give f(33).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.77?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (182\/88 + -2)*1. Let o be ((4025\/10)\/7)\/198. Let b = w - o. Calculate the common denominator of -3\/11 and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - 86 - (-780 - -782)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 126 = -299*c + 333*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 3*z**2 - 6*z + 12. Let r be x(-5). Let h = r + 67. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (sqrt(38)\/sqrt(2)*-3 + -2*sqrt(57)\/sqrt(3) + (sqrt(304) + sqrt(304)*-1)*-2 + 3)*6)**2.\nAnswer: -600*sqrt(19) + 17200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cibbcccbiciiiccici. What is prob of picking 2 i?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6434.84 and -32.355.\nAnswer: 6402.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**2 - 456 + 1011 - 3*v**3 - 554.\nAnswer: -3*v**3 - 22*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*v - 11385 = 246*v + 1425 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618998?\nAnswer: 2, 127, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.95 - -4.21. Let y = p + -2.06. What is the nearest to 5 in 0.4, -4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from whshhrt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -17*u**3 + u**2 + u - 1. Let z be g(1). Is 20 a factor of z*(-4 - (-5)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 13 = 3*m. Suppose z - 1 - 3 = m. Suppose 5*d + 5*n - 846 = n, 679 = z*d + n. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:01 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + h)*(15050*h**2 + 7680*h**2 + 8630*h**2 - 4061*h**2 - 3800*h**2)*(-h + 2 - 2).\nAnswer: -46998*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99\/2 + -1093\/22. Put i, 0.16, -1\/2 in ascending order.\nAnswer: -1\/2, i, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*x + 1 + 2, 0 = 5*g + 4*x + 18. Let c be (-3)\/g - 10\/4. Is c at most as big as -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*p - 80 = 0, -2*t + 2*p + 166 = 7*p. What is the least common multiple of t and 12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8*o = 80. Let l be (-25)\/o + 3\/2. Solve -5*g - 20 = -2*w, -4*g + 2*w - 12 = l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.82059 from -85377063.\nAnswer: -85377056.17941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2158, 8669, 19516, 34693, 54194, 78013?\n\"Answer: -b**3 + 2174*b**2 - 4*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 790657*a + 2371968. Calculate v(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -11\/87 (c) 0.9 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.42 + -0.32. Which is the biggest value? (a) -1\/8 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281926120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -9 (b) -1\/26 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (0 + -3) - 4 - -118. Let a = k + -109. Calculate the lowest common multiple of a and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*y - 1140, v - 5*y + 228 + 172 = 0. Let k be (10\/14)\/(-5) + (-31704)\/(-56). Let j = v + k. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12901.6 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*g + 6 - 6)*(-4*g - g**3 + 4*g).\nAnswer: -80*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/72675 and -31\/358?\nAnswer: 26017650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m**2 - 19*m + 6. Let s(y) = y**2 + 9*y. Let z(g) = -5*g**2 - 29*g - 1. Let x(v) = 7*s(v) + 2*z(v). Let d(b) = 2*n(b) + 9*x(b). Factor d(r).\nAnswer: -(r - 6)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 - 5*t - 3. Let g be l(-4). Let p be (-4)\/(64\/(-47)) + -3. Which is bigger: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**2 + 19*s + 11. Let x(h) = -3*h**2 + 9*h + 5. Let u(p) = -13*x(p) + 6*y(p). Let m(z) be the first derivative of u(z). Is m(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d - 2. Let c(i) = -2*i**2 + 13*i - 4. Let t(v) = -4*c(v) + 9*k(v). What is the smallest common multiple of 4 and t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**3 + 8*b**2 - 55*b + 157. Let f be g(4). What is the greatest common divisor of 216 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215654 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-54))\/((987\/(-47))\/(-126)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/140 - (-17)\/140)*2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let b be ((-2)\/4)\/(y\/(-12)). Suppose -b*o - 2*t + 24 = t, -5*t = -4*o - 13. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - (-145)\/25. Let x be (8\/12)\/((-1)\/(-12)). Let q = -5 + x. What is the highest common divisor of y and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/6*3*6\/(-15). Put h, 1\/6, 8 in decreasing order.\nAnswer: 8, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2*(3 + -1 + 2). Let j be (-1)\/(h\/8) - -4. What is the closest to -1\/3 in j, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - n = -22153 + 57701, 0 = -p - 4*n + 8870. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588321 divided by 1179\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 5*i + 86*i**4 - 32*i**4 + 1 - 55*i**4 to the form y + v*i**3 + q*i**4 + c*i**2 + t*i and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:02 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -38 - 33 - -34?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -808, -802, -798, -796?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((51\/952*14)\/((-30)\/128))\/(84\/(-10))?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221945 is divided by 1414.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3 + 3 - (0 + sqrt(17)*-1 + sqrt(68)\/(sqrt(8)\/sqrt(2) + sqrt(4))))**2.\nAnswer: -33*sqrt(17) + 2093\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.5 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = -x. Suppose -4*p + x = -p. Let b(q) = -182*q**3 + 3*q**2 + q - 4. Let u be b(p). What is u rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8*n = -512. Suppose -n = -4*w + 4*v - 28, -w + 3*v + 35 = 0. Let s = 61 - 41. Calculate the lowest common multiple of s and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -h - 8*h. Suppose 0 = -h*o + 69 - 29. Let w(r) = 0*r - 2*r - o*r - r + 4. What is w(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2923357 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a - 20, b - a - 3 = 0. Suppose -b*x = -20*x + 5486. What are the prime factors of x?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 8 = -16 - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuxuuuruu. Give prob of picking 1 u and 1 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 9*f**5\/5 - f**3\/3 + 33. Find the third derivative of a(r) wrt r.\nAnswer: 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*((z*(z*z\/(z\/z**(-24))*z)\/z*z)\/z)\/z))\/z)\/z)**(-22) assuming z is positive.\nAnswer: z**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15031089 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.9 - 31.9. Let n be 5\/6*(-4)\/5. What is the nearest to n in j, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:57 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by -4.\nAnswer: -161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -615 (base 7) to base 8.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 11*v + 7. Let h be m(7). What is the remainder when 61 is divided by (h\/1)\/(1\/(-1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.46106 from -8.\nAnswer: -7.53894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -3 - (3 + -4 - 1). Solve 3*w + 4*b = 0, n*b = w - 3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9705231 millimeters to micrometers.\nAnswer: 970.5231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 290461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*n - 465 - 575 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 681, 1008, 1335, 1662, 1989?\nAnswer: 2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, m: 2, s: 5}. Give prob of picking 2 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**3 - 4*j**2 - 11*j + 3. Let m(y) = y**3 - y. Let b(a) = 5*m(a) - u(a). Is b(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 10. Let k(r) = r + 1. What is -d(h) - 6*k(h)?\nAnswer: -3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 19 = -0*q + r, -3*q - 1122*r - 1125*r + 12 = -2248*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4729 is divided by 944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -30 - -9 - 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2052130 - 1?\nAnswer: 2052126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - u**2)*(-2*u + 142757 + u - 143008) in the form j + w*u**2 + d*u + f*u**3 and give w.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(o**4 - 9*o**4 + o**4).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5710 - 40039\/7. Is -10 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4108230935.\nAnswer: 5, 821646187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5\/2 - 18*q**4 - 48*q**3 + 72*q**2 + 216*q = 0.\nAnswer: -6, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*c = 2*b + 159*c - 5, -3*b - 2*c = -18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2409*b**2 + 9636*b. Let f(x) = -x**2 - 66*x. What is -3*d(j) - 438*f(j)?\nAnswer: -6789*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 21*h - 33. Let n be b(13). Suppose 15*s - n = 88. Solve -s = -8*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1014 = -9*m. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 125, 165, 203, 239, 273, 305?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1608053564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/(c*(c\/((((c\/(c**31\/c))\/c)\/c)\/c))\/c))\/c)\/c)**(-17) assuming c is positive.\nAnswer: c**561","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -55, -244, -705, -1570, -2971, -5040, -7909?\nAnswer: -11710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5462603*q**5 - 46402*q - 265 wrt q.\nAnswer: 109252060*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/(a\/(a\/a**(-5\/4)*a*a))))*a**(-4))\/(a**(-4)\/(((a**(5\/6)*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 478712 and 832.\nAnswer: 3829696","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 1456?\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a31a1a + -3d?\nAnswer: -a31a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-7)\/(-21))\/((-4)\/270) and 1815\/1452*(-2 - (-376)\/170)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*y + 6*y = 27*y + 49*y - 17380 for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) 357 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4184 + -6332. Let j(g) = -2*g + 6. Let y be j(7). Is (-6)\/y + (-1)\/(16\/b) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(76).\nAnswer: -4*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**8\/84 - 4*x**7\/35 - 3*x**6\/10 - 59*x**2\/2 - 2*x + 55. Let b(n) be the second derivative of r(n). Factor b(o).\nAnswer: -4*o**3*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51 + 2*18\/(-12). Let q = -42 + o. Suppose -5 = 2*i - 23. What is the remainder when i is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + 0.37. Let m = z - -0.8. What is the nearest to 0 in -0.5, m, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 < 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + 6. Let q be -20*((-6264)\/145)\/18. Is q bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose -f*j - 11 = 10. Let z = j + 9. Solve 3*p + 12 = 0, 2*p = z*t - 2 - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 52. Let w be (-157807)\/(-18) + (-16)\/k. Let t = 8772 - w. What is the common denominator of 49\/6 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 2*n - 934*n**3.\nAnswer: -934*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2093441, -4186889, -6280331, -8373767, -10467197, -12560621?\n\"Answer: 3*o**2 - 2093457*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let i = 0.7 + r. Let n be (0\/2)\/(1 - 3). Which is the third biggest value? (a) 0.1 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 18*q - 28. Let o be 6\/3*(2 + (-10)\/6). Suppose 0 + o*g + 2\/3*g**q = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 126?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 1004 + 444 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/9 < 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 16*q + 189. Let z be ((-1)\/3)\/(q\/(-27)). Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19690907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/15 of a hour?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 19, 109, -13 in increasing order.\nAnswer: -13, -5, 3, 19, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11310 - -23031321?\nAnswer: 23020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -8. Let i = -5 + 2. Let s = -0.04 + -0.26. Which is the closest to m? (a) s (b) i (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 70?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 0, 31, 1, 2426, -1 in increasing order.\nAnswer: -4, -3, -1, 0, 1, 31, 2426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 times 4.9\nAnswer: 0.2009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/120 - d**5\/10 + d**4\/4 + 4*d**3\/3 - 269*d**2. What is y(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 9 - 3, -6*v + 24 = 7*p - 10*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39464895888 + -1.\nAnswer: -39464895889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2220, -5422, -8624, -11826, -15028?\n\"Answer: -3202*d + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5098 divided by -28.\nAnswer: -2549\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**8\/6720 - d**7\/504 - d**6\/144 + d**5\/40 - 11*d**4\/4 - 14*d. Let t(i) be the third derivative of v(i). Calculate t(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -529 - -545. What is the remainder when 119 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3528 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4260808 is divided by 254?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c - 15. Let w be d(3). Suppose -29*q = -w*q + 20. Solve -q*u - 107*u - 18*u**2 + 19*u - 30 - u**3 - 186 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y. Let k(i) = 8*i + 1. Let m(q) = 5*c(q) + 2*k(q). Let w(v) = v - 1. Let g be (6\/(-4))\/((-4)\/(-16))*-1. Calculate g*w(o) + 2*m(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 103, 55, 3, -53, -113?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3 = -5*d + 18, 2*d = -3*h + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, -2\/123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219 - 220 + 94*t - 90*t - 169*t**2 + (2 + 2 - 5)*(-3 - t**2 + 3).\nAnswer: -168*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -20698 at least as big as -20701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205021 and 3532411.\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 8411?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 101 = -3*c, -4*d - 161 = c - 6*c. Calculate the greatest common factor of 99 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 8*s. Let g(w) = 2*w**2 - 5*w. Let k(p) = -8*g(p) + 5*i(p). Let c(t) = 4*t**2 + 3*t**2 - t**2 - 2*t**2 + 4*t**2. Calculate c(k(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2044 + 7185 = -527*h + 203*h - 4379 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464159850 to the power of 1\/2, to the nearest integer?\nAnswer: 38264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445412 - -3?\nAnswer: 445415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. What is the second derivative of 0*q + 0*q**c + 2*q + q**4 wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10\/19 (b) -0.1 (c) 13 (d) -2\/3 (e) -0.4 (f) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 4*h**2 - h + (6*h**2 - 2*h**2 - 3*h**2)*(3 + 0 - 5) - 3*h**2 + 4 - 4 + 2*h - h**2 + h**2 - 2*h**2.\nAnswer: -11*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -9.9?\nAnswer: 138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:20 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1169 + 1168.7. Which is the fourth smallest value? (a) 3\/7 (b) 3 (c) -3\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28700 and 700?\nAnswer: 28700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3113 - 42?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**3\/3 - 7*v**2\/2 - 4*v - 6. Let m be o(8). Solve m*f - 10 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((60\/3)\/2)*(-16)\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 931623.3um in kilometers?\nAnswer: 0.0009316233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -41. Let c = 38 - 59. Let z = c - -33. What is the remainder when j is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 - 4*h - 1. What is j(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -78 + -3?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05950384 - 8441.\nAnswer: -8440.94049616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -183, -268, -349, -426?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.29 + -5.289992256. What is s rounded to seven dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -48*v + 785. Let l(g) = 22*g - 390. Calculate -9*l(k) - 4*s(k).\nAnswer: -6*k + 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let a(n) = -23*n + 63*n - 27*n. Calculate a(m(o)).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 m when four letters picked without replacement from {m: 3, f: 3, j: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m + 115 = 29*m. Let x = 35 - m. Solve -q = 3*q + x, 3*l = -3*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96976874 and 81664736.\nAnswer: 1551629984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 52907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.90136 - 0.2.\nAnswer: 2.70136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474 + 78*a**3 + 9043 - 7569.\nAnswer: 78*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00161151 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a - 32*a - 4*o - 185, -2*a - 48 = 3*a - 0*a - 3*o for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + 4. Suppose 12 = 3*k + 3*r, 6*k - 3*r + 4 = k. Let j = 3 - k. Suppose -3*a - j*a = 15. Let p(b) = b**3 - 1. Determine a*x(z) - 14*p(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195245, -390492, -585739, -780986?\nAnswer: -976233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -699.97 + 701. Let u = -0.04871 - -1.07361. Let r = h - u. What is r rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45578142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 3*r**2 - 2*r. Let m = -330 + 317. Let k = 23 + m. Calculate the smallest common multiple of b(5) and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = -2. Suppose 2*g + 3*w = 5, 0 = o*g - 3*g + w - 3. Suppose g*i - 18 = 2*i. Calculate the lowest common multiple of 5 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-2)*(-31 + 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 610 - 606. Let z = -4 - -3.8. What is the smallest value in f, -1\/10, -2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 2*x**2 + 3*x. Let o(l) = 3*l**3 + 5*l**2 - 9*l. Suppose -3 = b - 7, 0 = m + 5*b - 31. Calculate m*p(g) + 4*o(g).\nAnswer: g**3 - 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, l: 5}. What is prob of picking 1 g and 2 l?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 less than -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 16 in decreasing order.\nAnswer: 16, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 114272 - 8823*d**2 - 57137 - 57133. Let r(s) = 3*s**2. Give k(r(z)).\nAnswer: -79407*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -176.7, 1\/5, 1\/2, -4, 123?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -42. Let m = j - 16. What is the smallest common multiple of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1558910803 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 44.55897 kilograms?\nAnswer: 44558970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.8997236 + -12.9. What is c rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p*u**4 - 4*p*u**2 - 3*p*u - 47*p - 19747034*u**5 + 265*u**2 - 6*u - 3 wrt u.\nAnswer: 48*p*u - 1184822040*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k + 10. Let g(w) = -23*w - 3. What are the prime factors of g(k)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5 - 103*v**4 + 2409*v**3 - 4313*v**2 - 2410*v + 4416 = 0. What is v?\nAnswer: -1, 1, 2, 32, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -105480 divided by 20\nAnswer: -5274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58536 + -287.\nAnswer: -58823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1190\/102*((-2046)\/165 - -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 divided by 3?\nAnswer: 389\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3 - 1157. Let t(u) be the third derivative of 11*u**4\/24 - u**3\/6 - 7*u**2. Calculate t(m(a)).\nAnswer: -33*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 - x. Let p be d(-1). Suppose q = -p*k + 48 + 15, k - 3*q - 32 = 0. Let f(g) = 18*g - 12*g - k*g. Let z(a) = -2*a. Calculate f(z(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**3 + 0*v**3 + 4 + 2*v**2 + 2*v - 3. Let f be r(-1). Is 476\/f - 2\/(-4) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-14)*r**(3\/13)*(r*r**(-9))**4 assuming r is positive.\nAnswer: r**(-595\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/3 (b) 2\/13 (c) -3 (d) -317435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/408 - -949\/7752. Which is the closest to -18\/5? (a) 2\/11 (b) x (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3266 - 12*j + 3266.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - f + 23)*(3 - 2 + 0)*(7 - 6 + 2)*(0 + 1 + 0) to the form n*f + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 = -5. Suppose 5*w + 3 + 2 = h, -k*w - 16 = 2*h. Let l(p) = p**2 - p. What is the units digit of l(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141 divided by 14277.\nAnswer: 1141\/14277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 714\/47 less than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:03 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 39*w - 23*w - 23*w. Let i(p) be the second derivative of p**4\/6 + 2*p. Calculate i(f(l)).\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*i + 35. Solve 2*w - 35 = -i*v, -8*w + 3*w + 5 = -4*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*w**3 + (2*w**2 - w**2 - 3*w**2 + (-5*w + 3*w + 4*w)*(w - 3*w + 4*w))*(-88 - 50*w + 88).\nAnswer: -97*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4920 divided by 164\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/20 + -1)*((-2590)\/70 - -45).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o = -526 + 251 + 219 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:19 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**3 - 5 - 5*p**3 + 7*p**2 - 7 - 2*p. Let y be q(-7). Suppose -3*t - y*t + 165 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*i + 33 = 3, -i + 30 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -224410 divided by -51\nAnswer: 224410\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282576 is divided by 556?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 62*o + 0*o**2 + 0*o**2 - 64*o.\nAnswer: -10*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 9*k**2 - 23*k - 181. Let p be s(-5). Calculate the greatest common factor of 474 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 5, -2, -3 in decreasing order.\nAnswer: 58, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (-5 + 6*3*-2*sqrt(405))**2.\nAnswer: 3240*sqrt(5) + 524904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/15 + 686*j**2\/3 - 1525574*j\/15 + 15560182\/5.\nAnswer: -2*(j - 841)**2*(j - 33)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.1 + 223.9. Let r = j + -261.226. Round r to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 + 9*d**4 + 22*d**3 + 2*d**2 - 21*d - 11.\nAnswer: -(d - 11)*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 21 = -3*b. Let t(m) = -m**2 - 7*m + b*m. Let n(d) = -7*d + 10*d - d. Calculate t(n(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01244705624 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 206 + -201. What is the closest to -2 in -0.2, t, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by 2\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/10*-7*80\/112. Suppose -5*s + 6 = -3*s. Solve h*o = s*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**6)\/n**19 assuming n is positive.\nAnswer: n**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-92) + 4*(-1)\/(-112). Let m = -1.5 + 0. Is t > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 285 + -286. Sort m, 6, -4 in increasing order.\nAnswer: -4, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 g when four letters picked without replacement from {g: 4, j: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 8*j**2 - 8*j + 3. Let f be c(9). Let k be 12\/5*15\/f*2. Solve k = -z + 7*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113021999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -29*o + 1 + 5*o - 4668*o**2 - o**3 + 4655*o**2. Calculate the remainder when c(-11) is divided by 20\/3 + 2\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/149 and 5\/48.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 6*k**2 - 4*k. Let f be z(5). Suppose f*j = 3*j + 18. Suppose -j = -3*a + 3. Solve -a*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxqhhchjjjqjtjjxqqh. What is prob of picking 1 x and 1 h?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from zpzpxzkxfxxzp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**6 - 3*z**4 - 106*z**3 + 4445*z**2 wrt z?\nAnswer: -360*z**3 - 72*z - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159891966.\nAnswer: 2, 3, 13, 683299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 69, -2, 30, -1 in ascending order.\nAnswer: -2, -1, 0, 30, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**2*u**2 + r**2*u - 2*r*u**2 + 257*r*u - 408*u**3 + u**2 + 10*u wrt u.\nAnswer: 6*r**2 - 4*r - 2448*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 1)) + -710 + 705.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.07 + -0.07. Let u = 7 - m. Let i = u - 4. Which is the closest to -0.1? (a) -2 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {w: 1, z: 1, h: 2, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**3*d\/(d**(-3)\/d))**(1\/55)\/((d**(-1\/10)*d**(-1\/5))\/(d**(3\/2)*d\/d**(1\/2))) assuming d is positive.\nAnswer: d**(259\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6651457521.\nAnswer: 3, 2217152507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 11*x + 204 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -9*y + 13. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 3*i + 20. Let u be j(-6). Solve u*g = -2, -q + 2*q - 5*g = 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7665223 is divided by 1184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600413430.\nAnswer: 2, 3, 5, 37, 41, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 3. Let b be f\/(-16) - (-29)\/(-52). Is b bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 12:15 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.01 + -0.01. Let m = 6 - j. Suppose -5*c = -y + 24, -2 - 4 = -4*y + 2*c. What is the second biggest value in -3, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18737 - 11.5\nAnswer: 18725.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*k - 2, -8*z + 3*z = 5*k - 15. Suppose -n + 2*m = -4508, -2*n + 5*n = k*m + 13508. What is n rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -697*q**4*v - 83*q**2*v - 4738*v + 14 wrt q?\nAnswer: -2788*q**3*v - 166*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 8*d - 39. Differentiate 11 + 439*k**3 + 29 - 394*k**d wrt k.\nAnswer: 135*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 51*n**2 - 112*n - 54. Calculate l(-53).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/28500 and 77\/760.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8624\/19, -0.88, 7 in ascending order.\nAnswer: -0.88, 7, 8624\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 75048645\nAnswer: -37524322.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*h - h**2 - 8 - 3 - 26.\nAnswer: -h**2 + 2*h - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*i - 6, i - 7 = -1. Solve 41*l = -3*t + 38*l + 12, -g*t + l = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from {b: 3, a: 1, c: 2, j: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2557345 (base 8) in base 6?\nAnswer: -23134125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = -6. Let f(q) = -q**3 + 5*q**2 - 3*q + 1. Let r be f(5). Let z = r + l. What is the lowest common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**7\/1260 - x**6\/360 + x**5\/120 - 239*x**4\/24 + x**2 - 5*x. Let w(n) be the second derivative of o(n). Determine w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4)\/((-5)\/((-45)\/12)). What is the third smallest value in -7, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**7\/2520 + i**6\/360 - 9*i**5\/20 - i**4\/24 - 53*i**2. Let o(b) be the third derivative of d(b). Determine o(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(40)\/sqrt(4)) + sqrt(68)\/sqrt(4) + 0 - (3*(sqrt(425) + 1))**2.\nAnswer: -3834 - 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n - 10. Let v(t) = 6*t - 7. Let i(m) = -5*v(m) + 4*y(m). Determine i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 426 and 426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2157, -1920, -1521, -948, -189, 768, 1935?\n\"Answer: 2*i**3 + 69*i**2 + 16*i - 2244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -344 + 345 + (1 - 1) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjijijjj. What is prob of picking 2 i and 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 24 = 2*m, -b + 2*b = 5*m - 15. Solve -m*y + 5*u + 10 = -7*y, -u = -4*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(78)*-1)\/(1*sqrt(216) + sqrt(216) + sqrt(216)).\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3\/5 (b) -3\/2 (c) -2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c8df (base 16) in base 8?\nAnswer: 144337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4\/3 - 16*y**3\/3 + 4*y**2\/3 + 16*y\/3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 8168.\nAnswer: 40840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 2:22 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98743100 rounded to the nearest one hundred thousand?\nAnswer: -98700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1034 - -2647. Calculate the greatest common factor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 1. Let f(r) = -401*r - 392. Let y be f(-1). Let a(n) = -n + 7. Let w be a(7). Solve -4*c + j - y = w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**9)**(1\/19) assuming m is positive.\nAnswer: m**(-8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/23951 and -2\/63?\nAnswer: 1508913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let a(p) = -p - 1. Let v(b) = a(b) - 3*t(b). Let l(j) = j - 3. Let n be l(4). Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:07 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -448, 15 in descending order.\nAnswer: 15, -4, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 934 = 5*p, -7*p + 4*p - 562 = -2*i. Let z = p - -333. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 357 = -759. Let z be 4\/11*(x\/12 + -10). Let o(p) = 2*p**2 - 3. Let c(l) = -l**2 + 2. What is z*o(v) + 3*c(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + -11 + (-5 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**4 + 87*w**3 - 968*w**2 + 1680*w - 797. Let z(i) = 86*i**3 - 966*i**2 + 1680*i - 798. Let j(y) = 2*t(y) - 3*z(y). Determine b, given that j(b) = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (4 - (5 + 3)) - (-20 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9889, -17306, -24723, -32140, -39557, -46974?\nAnswer: -54391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/40 - 121*y**4\/8 - 14641*y**3\/4 - 1771561*y**2\/4 - y + 107. Solve q(o) = 0 for o.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 79664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173645693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**2 - 1. Let f be x(1). Suppose 0 = -4*s + 3*a + 2, 2*s - 3*a = -f*a + 12. Find the second derivative of -3*o - 2*o**2 + s*o + 3*o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 25\/8 + 1\/8*f**2 - 5\/4*f = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3944422 by 4.\nAnswer: -1972211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3611, 3612, 3613?\n\"Answer: r + 3610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 10 + 0 + -2. Put 2, 1, c in descending order.\nAnswer: c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -20. Let r be v\/(-14) + (-12)\/42. Let f be ((-60)\/45)\/(8\/r + -1). What is the nearest to -2\/3 in f, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by -78\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 16, 3*q = -4*s - 3 - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 288070*v**2 - 10373472704*v - 31117825536.\nAnswer: -2*(v + 3)*(v + 72016)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150 = 169*z - 54*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, k: 1}. Give prob of sequence bk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4800*b - 86095. Determine w(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -9*x + 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -34323*y + 205849. Calculate k(6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26296 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*u - 35 = 0, 3*u = -4*f - u - 28. Let k = -7 - f. What is the first derivative of 38*i**2 + 3 - 13*i**2 + k - 5 wrt i?\nAnswer: 50*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3342 - 1.3342. Let w(r) = -2*r**2 + 7*r + 3. Let p be w(4). Which is the nearest to p? (a) -2 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 128 = 5*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from {a: 1, f: 2, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**3\/2 - 255*l**2\/2 + 3725*l\/2 + 144375\/2 = 0 for l.\nAnswer: -55, -21, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 3*q**2 - 2*q. Suppose -2*n + 6 = -5*n. Let v be s(n). Solve -19 = 3*h - 5*o, 0 = -5*h - o - v*o - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 + 19 = -2*o, -3*i + 10 = -o. Let r(k) = 2*k - 3. Give r(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 - 2736*l**2 + 655344*l - 14193792 = 0 for l.\nAnswer: 24, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(198) - (sqrt(198) - ((sqrt(198)*2 - sqrt(198)) + sqrt(198))))\/sqrt(11))\/((-3*sqrt(66))\/sqrt(11))*-3)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (7 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(125)*-2 + 1*2*sqrt(125) + sqrt(125) + 2)**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, and 2 c when four letters picked without replacement from izicqccsszisiisick.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from {e: 2, s: 1, t: 2, r: 7}?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*p + 5*q - 35 = -242*p, 0 = 4*q - 12. Let u(m) be the first derivative of -3\/4*m**p + 0*m**2 + 3\/10*m**5 + 11 + 1\/2*m**3 + 0*m. Factor u(g).\nAnswer: 3*g**2*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.3. Let m = -3.257 - -2.757. Let g = 0.5 - 1.5. Put 1, g, m, i in increasing order.\nAnswer: g, m, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2681*y. Let j(t) = 29*t**2. Calculate n(j(v)).\nAnswer: -77749*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 644\/8*((-6)\/(-3) + 0). Suppose 4*m + 95 = -u, 2*m - 58 = -3*u - 323. Let o = u + i. Is o a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g + 60. Let c be o(-16). Suppose 10*m + c = 20*m. Calculate the lowest common multiple of m and 1\/(-2) - 115\/(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 - 3330*l + 1020000 = 0 for l.\nAnswer: -1360, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 23*r**2 - 47*r + 66. Suppose 22*b - 37 = m + 18*b, -3*b = 4*m + 91. Determine t(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 759*u**3 + 423*u**2 + 3 wrt u?\nAnswer: 4554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-364)\/(-117))\/((-24)\/108)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4539*u - 22716. Determine s(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -11\/42*b**4 - 3*b + 0*b**2 - 17\/105*b**6 + 2\/21*b**3 + 3\/10*b**5 + 0 + 5\/147*b**7. Suppose m(f) = 0. Calculate f.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -376 + 582. Let o = 205.999638 - l. What is o rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**3\/3 - 505*i**2\/2 + 286. Let b(x) = x. Determine b(s(n)).\nAnswer: -n**2 - 505*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/5 - 53851088*n\/5 - 362492459847968\/5 = 0?\nAnswer: -13462772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 + 5. Let l = -14 + 2. Let v be l\/(-88)*(-4)\/3. Which is the third smallest value? (a) i (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 4*x)*(0*x**4 - x**4 - 4*x**4) - 12597*x**2 - 231*x**5 + x**4 + 12597*x**2.\nAnswer: -251*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211131 - -3332212?\nAnswer: 10210003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + ((-70635)\/6783 - (-1)\/(-7)*3)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u + 13. Let k be p(-10). Let i = k + -70. Suppose 5*n = -i*y + 3*n + 81, 5*y - 3*n = 154. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 3 - 3 - o**2. Let z(h) be the first derivative of h**2\/2 + 9. Give z(g(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 747121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Let c(t) = 3 + 1 - 3*t + 2*t + t**2. What are the prime factors of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.14, 1, -4, 1\/5, 1491, 2?\nAnswer: 1491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7)*14\/2. Find the third derivative of -6*k**5 - b*k**2 - 3*k**6 + 38*k - 8*k**6 - 4*k**5 + 3*k**5 + 2*k**6 wrt k.\nAnswer: -1080*k**3 - 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = -12*r + 126 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1682)\/1624*(-1232)\/44\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1617224625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by -10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 25*x - 654. What is n(-41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {z: 2, v: 4, u: 1, x: 5, y: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (sqrt(11) + -3 + 0 - sqrt(11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:24 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 2*f - 2*f)*(16*f - 13*f + 5*f)*(0 + 4 - 5) in the form o*f**2 + j*f + d*f**3 + y and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1141\/295 + 240\/59. What is the closest to v in -1, -2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -151*h + 3. Determine z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:57 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/340)\/((-57)\/51). Which is the smallest value? (a) -2\/5 (b) h (c) 41 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 7*k - 6. Let a be y(-6). Suppose 0 = -4*p - 0 + 20. Let x be -2 + (-6)\/3*-2. Solve a*o = 4*f - x*o, f - p*o = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g + 6. Let x be 1*1\/(-2)*2. Let d(z) = -13*z + 22. Let p(m) = -11*m + 19. Let r(t) = 6*d(t) - 7*p(t). Determine x*n(o) - 8*r(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22928, -22925, -22922, -22919, -22916?\nAnswer: -22913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/1109 or 1?\nAnswer: 10\/1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133103132 + -30?\nAnswer: -133103222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*v - 543, r - 3*v = -r + 255. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(17)*1) + 4)**2 - (sqrt(17) + (sqrt(17) - (sqrt(17) + -4)**2) + 2))*5.\nAnswer: -50*sqrt(17) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37050*d + 9030*d**2 + 537*d**3 + 3*d**4 - 85356 - 7558*d**2 - 60444 + 22270*d**2 + 9510*d = 0. What is d?\nAnswer: -90, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1003212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 574, 1142, 1700, 2242, 2762?\n\"Answer: -p**3 + p**2 + 572*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - -3.08. Let g be (2\/25)\/(9 + (-308)\/35). Which is the closest to g? (a) -1 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(5) - (2*sqrt(180) + sqrt(5))))\/(-5*4*sqrt(2)*-1).\nAnswer: -sqrt(2)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 51449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 149*f**2 + 7*f - 6. What is the units digit of q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -3230?\nAnswer: 3230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 9*w**2 - 5*w - 20. What is y(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.3, 50, -2255, -3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1565034?\nAnswer: 2, 3, 59, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:28 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14708121691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3269 = r + 4*r, 3281 = 5*r - d. Suppose 12*i - 1935 = r. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -3\/11, -2\/27, -1114?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - 7) + -13 - -20) + (-33 - -6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -125 + 203 - (96 + 7).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(704) + -5)*1*-2)**2.\nAnswer: -320*sqrt(11) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15629.\nAnswer: 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652196 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 331926 and 159292868?\nAnswer: 3345150228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*u - 68, -28*t - 4*u + 224 = 18*t - 58*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:21 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -31\/5, 4, 2, -4, 9, 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1214600 + 3?\nAnswer: 1214603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**6*u)\/(u*(u*u**(-6))\/u))**(-7\/6)*u\/u**(3\/2)*u**(-5)*(u\/((u\/(u**(2\/3)\/u))\/u))\/(u**(4\/7)\/u) assuming u is positive.\nAnswer: u**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.34 * -17768.18.\nAnswer: 41577.5412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 - -356. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611793419.\nAnswer: 611793419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5139 and 634986831?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3409 + -967. Let n = g + -1652. Suppose r = -5*m + 2*r + 1314, -n = -3*m - r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/112)\/(15\/18)*4\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1091*y**3 - 784*y**2 - 2*y - 5. Let w(h) = 545*h**3 - 392*h**2 - h - 3. Let x(b) = 3*n(b) - 5*w(b). Find the third derivative of x(j) wrt j.\nAnswer: 3288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -350 + -49. Sort 0.3, 0, f.\nAnswer: f, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 34. Factor r*a**3 + a**4 + 4*a + 8*a + 4 + 18*a**2 - 5*a**2.\nAnswer: (a + 1)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 17. Let k = 0.02 - 8.02. Let l = k - v. Sort 0.4, 1\/5, l in descending order.\nAnswer: 0.4, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.12282?\nAnswer: -0.06141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2722 + -2717. Solve 12 = -l*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.4 - -8.1. Sort -1, 2\/21, x, 5 in ascending order.\nAnswer: -1, x, 2\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30202783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 15*c**3 + 440*c**2.\nAnswer: -5*c**2*(c - 8)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12397 and 53\/5167778.\nAnswer: 36174446","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 38*o - 252 + 4*o + 332. What is the hundreds digit of w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 211\/60*h**5 - 121\/24*h**4 + 0*h**3 + 2*h**2 - 62*h + 0. Find the second derivative of n(b) wrt b.\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6746.104 meters in millimeters?\nAnswer: 6746104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000966074 to 7 dps.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736307 is divided by 183952?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/44 in 19, 2, -2\/13, -1469, 3, 122?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3133240 + -303?\nAnswer: 3132432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/26*(14\/6 + 1). Let p = -0.4 - -0.3. Which is the closest to p? (a) 2\/11 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**3 + 2*g - g**3 - 5*g**3 - 4*g + 86 + 37*g**2. What are the prime factors of v(36)?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 0*x. Let b(c) = 5 + c**x + 0 + c - 1 - 2*c**2. Let m be b(0). Solve 1 = -m*o + 4*l + 9, 0 = 3*o - 2*l - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/80 and -37\/38760.\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {d: 3, f: 12}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 144557927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/((f**9*f*f*f)\/f))\/(f**(4\/7)*f**(1\/9)\/f*f) assuming f is positive.\nAnswer: f**(-547\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2625 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose -116 = -t*x + 4. What is the common denominator of 2\/6 + 346\/x and -47\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -16*a**2\/3 + 542*a - 39308\/3 = 0.\nAnswer: 317\/8, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110331133 (base 4) to base 12.\nAnswer: 41827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1030 + 2980 = 0. Find the common denominator of 85\/16 and 21\/(-60)*k\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 30149783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (483 + 1654*i - 483)*(0 + 3*i**2 + 0).\nAnswer: 4962*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 224.8 - 266. Let q = 88 + -134. Let w = q - b. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 363021455 + 3?\nAnswer: 363021461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 5, 4, 39 in increasing order.\nAnswer: 4, 5, 39, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3873362 or -3873326?\nAnswer: -3873362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131*0.02.\nAnswer: -2.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3573608 is divided by 188084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3866*j + 2933*j + 0 - 2 + 2.\nAnswer: -933*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10902.46 - 0.8321.\nAnswer: -10903.2921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47060633 is divided by 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 15 + 831*f**2 + 23 + 351*f**2 in the form t*f + j + z*f**2 and give z.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15224 and 1012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1038*d. Let k(m) = 213*m - 285. Let r(u) = -15*u + 20. Let b(a) = 4*k(a) + 57*r(a). Determine v(b(g)).\nAnswer: -3114*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7330 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i - 3*n, 0 = -4*i - 0*n + 5*n + 5. Suppose -5*x + 50 = -i*x. Suppose 6*t - t = x. Solve -7*b - 20 = -t*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let c(i) = -i**2 - 10*i. Let m(o) = c(o) + 3*h(o). Let s be m(-6). Find the second derivative of -q**3 + 13*q + q**s - 14*q**3 wrt q.\nAnswer: -84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9851.29 + 10350. Let n = -60.39 - z. What is n rounded to the nearest 10?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = g + 48483, -48463 = -4*v - 1024*g + 1029*g. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1324 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-197)\/788)\/((-23)\/92*(-8)\/(-2)*-4)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmjsjlejlf. What is prob of sequence se?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45474 + 5?\nAnswer: 45501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 20 - 2 - (-5 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - (-80)\/(-15))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8378549.\nAnswer: 47, 89, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488602 is divided by 305?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 4, h: 3, x: 3}. What is prob of sequence ss?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let n be d(-6). Suppose 2*x + u + 2*u = 63, -n = 2*u. Let q = -20 + x. What is the lowest common multiple of 20 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9866 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*b - 6*w + 29, 3*w = -4*b + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*i**6 + 330293*i**5 - 130633146*i**2 wrt i?\nAnswer: -2040*i**3 + 19817580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 3*j - 7, -3*h = j - 5. Let g(f) be the second derivative of -1\/2*f**h + 0 + f + 1\/3*f**3 - 1\/12*f**4. Factor g(q).\nAnswer: -(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 0, 4*o + 2980 = 5*m - 5004. Is o\/(-16)*(3 + 1)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.311 + -0.289. What is the second smallest value in 5, b, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + 0.04. Let r = 215.82 - 216. What is the smallest value in r, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-46)\/(((d*d**(-5\/4)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(-171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 37. Let i = s + 2. Is i greater than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*q = -2*b - 4, 4 = 2*b + q. Let d be (-5)\/10 - 1\/2. Sort 5, b, d in decreasing order.\nAnswer: 5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 4914.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 5 (b) -19.8 (c) 0.4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2736) + 5 + ((1 + sqrt(2736))**2 - sqrt(2736)))*-4 + -4).\nAnswer: -65832 - 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13476337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 2\/3*t**4 + 0 - t**2 + 2\/3*t**3 + 1\/30*t**7 + 1\/336*t**8 + 19\/120*t**6 + 5\/12*t**5 + 0*t. Factor c(n).\nAnswer: (n + 1)**3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 68. Let n = -4 + 6. Suppose n*t - 28 = -2*t. What is the remainder when c is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 19*j - 109. Let y be d(6). What is the units digit of (-5 + 2)\/(y\/(-10))*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = g - 3*p - 2, 3 = -g - 3*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j + 6435 = -50*j - 93*j for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313439950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1337 + 1443. Put -4, 1, -1, w in increasing order.\nAnswer: -4, -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3843 - 3813 = -5*s, 2*s + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275 (base 16) to base 8.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.9 + 37. Which is the biggest value? (a) -2 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6181 is divided by 167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Let s(y) = 2*y**3 + 2*y**2 - y - 4. Let g be s(p). Suppose 0 = d + 3*d - g. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 1056 + 1184 = 0. Let s(f) = -f**2 - 16*f - 8. Let t be (3 - (3 - -4)) + -10. Let z be s(t). Calculate the greatest common factor of z and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-1)\/(sqrt(48)\/sqrt(6)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 450363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/1795 (b) 1\/3 (c) -49 (d) 0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10051, 10049, 10047?\n\"Answer: -2*o + 10053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121\/69 + -2\/23. Let l = -0.02 - 4.98. Which is the second smallest value? (a) l (b) w (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4658*n + 14 = -4656*n + 2*z, -3*z = 2*n - 23 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.07, -5286, 2\/9, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) + sqrt(240)\/sqrt(6)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8\/7, -87, 6, 5\/16 in descending order.\nAnswer: 6, 5\/16, -1, -8\/7, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 41. Suppose -7 = 4*t + 3*l, -5*l - 11 = q*t + 10. Suppose 2*i = j + 901, -t*j - 714 = -2*i + 190. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 78*b - 93*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2707\/3 + -18961\/21. What is the closest to -3 in -27, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(104)*2)\/sqrt(8) - sqrt(13))*-2 + sqrt(1872)*2 + -3 + -2)*1.\nAnswer: -5 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13781816*x**2 + 22216583 wrt x.\nAnswer: -27563632*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 387*h**2 + 396*h + 499206?\nAnswer: 774*h + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*g = -0*o - 288, 0 = -5*o + 2*g + 383. Let i = o + -21. Suppose 5*t + i = 6*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 419*i**2 + 958*i + 12. Let r(z) = -6286*z**2 - 14371*z - 182. Let m(f) = -6*r(f) - 91*y(f). What is the second derivative of m(b) wrt b?\nAnswer: -826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4475?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 11*j**2 + 2*j - 14. Let k be t(11). Suppose 4*u + u + 55 = 0. Let b = k - u. What is the remainder when 53 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 11. Let a be l(-8). Suppose a + 6 = -3*n. Let d be 2\/n + 2\/3. Solve -4*v + 0*v + 8 = d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -126668670?\nAnswer: -126668675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032 (base 4) to base 3.\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 108*y + 2432.\nAnswer: (y - 76)*(y - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 + -226. Let l(t) = 3*t - 4. Determine l(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -32*i + 83*i + 1791, -m + 7858*i - 7853*i = -173 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-3*t + 3*t + t**3)*(-5*t + 5*t - t) - t**2 + t**2 + 4*t**4 - 8*t**4 + 3*t**4 - 17*t**4.\nAnswer: -17*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(5 + (sqrt(567) - (sqrt(567) - (sqrt(567) + 1))))**2.\nAnswer: 540*sqrt(7) + 3017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7366504 + -17?\nAnswer: -7366523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e (base 16) to base 8.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9695 divided by -5?\nAnswer: -1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44\/6)\/(-1 - (-20)\/12). Let u(s) = 22*s - 8*s - 2*s + 1 + s**2 - s**3 - w*s. Let c(n) = 2*n**3 - 6*n**2 - 6*n - 6. Calculate -c(o) - 6*u(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -368 + 6631\/18. Let r(k) be the first derivative of -40\/9*k**3 + 5\/2*k**2 - 2*k**5 + 2 + 25\/6*k**4 + y*k**6 - 2\/3*k. Factor r(f).\nAnswer: (f - 1)**4*(7*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 + 138928*c + 10408350 = 0. What is c?\nAnswer: -69389, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -k + 8, -4*m = -8. Let s = 82 + -16. Calculate the highest common factor of s and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 11:07 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10301202202 + 3232?\nAnswer: 10301212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/16 + 194\/8. Suppose -3*d = -125 - q. Let t = d + -29. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 11:13 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f. Let y(q) = 4*q**2 - 4*q**2 - 3*q**2. Determine y(r(h)).\nAnswer: -867*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*z - 30*z + 165 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 3) in base 2?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**4\/11 + 30*o**3\/11 + 126*o**2\/11 + 138*o\/11 + 48\/11.\nAnswer: -6*(o - 8)*(o + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3116835870343 + 3116835870343 - 10*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -g + 15956, -15946 = -3*b + 4*g - 0*g. Suppose 5*x - b = 32. Suppose x = 13*u - 11*u. What is u rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -63*f - 2. Let h(x) = 565*x + 15. Give 4*h(o) + 35*i(o).\nAnswer: 55*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -7\/6 (b) 0.4 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + a - 1 - 2 = 0, -9 = -3*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-19440)\/24786 + (0 + -1 - (-38)\/34)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(315))\/sqrt(7).\nAnswer: -3*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -2\/13, 2\/7, -0.05 in descending order.\nAnswer: 2\/7, -0.05, -2\/13, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1309)\/44 - 2\/8. Let x = k + 42. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13619423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -590c4 - 0?\nAnswer: -590c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 4*o**2 - 6*o + 5. Suppose -5*s - 18 = -7*s - 4*q, -3*q + 1 = -s. Let m be x(s). Which is greater: -4\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1679 and -53\/11929295?\nAnswer: 11929295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**4 - 640*o**3 + 29152*o**2 - 284160*o + 788544 = 0.\nAnswer: 6, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68.33 + -68.61. Which is the closest to 6? (a) -2 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-937)\/10307*(-10 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1441 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -475*w**2 + 245*w - 10. Let g(y) = -475*y**2 + 246*y - 8. Let h(z) = -5*g(z) + 6*x(z). Factor h(j).\nAnswer: -5*(5*j - 2)*(19*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/324 and -28\/27.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*h - 61*h - 36*h to the form u*h + a and give u.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 129 (b) -2\/13 (c) -2\/3 (d) -3 (e) 0.45 (f) -4 (g) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 411*p - 93 + 401*p.\nAnswer: -10*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38838 and 42.\nAnswer: 271866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2942, -304, -2 in decreasing order.\nAnswer: -2, -5, -304, -2942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15123313369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -37*g**6\/12 + g**5\/60 - 3539*g**4\/24 - g**3\/6 - 3*g**2 + 2791. Find the second derivative of m(s) wrt s.\nAnswer: -2220*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -13, -3.4, -6, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -334, -504, -676?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(7\/(-8)))\/(6*5\/105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.969 to 1 dp.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 148969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29501*f**2 + 38077*f wrt f?\nAnswer: -59002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 - (-583)\/(-44) - 3206*(-849)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 889749 and 2542140.\nAnswer: 17794980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216401 is divided by 1273?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4279778, -4279773, -4279764, -4279751, -4279734, -4279713, -4279688?\nAnswer: -4279659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -2. Let t be (-34)\/(-6) + 3\/9. What is the units digit of 1*o\/t*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - -17) + -20 - -20. Is k at most as big as -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-2))\/((-3)\/24). Suppose -5*v - 15 = -o. Let i be 30\/(-9) - (-45)\/(-27). Sort 2, i, v in increasing order.\nAnswer: i, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-28)*(889\/63 + -13)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (391\/(-238))\/(5\/(-70))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4831115010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, -2\/193, 1\/4, -2\/11, -7.7, 0.2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 10:20 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 3*f + 2*f)*(1160 + 453 + 649 + 2861 + 847 + 366) to t*f + m and give t.\nAnswer: -12672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21032.23270042 + 0.1\nAnswer: 21032.33270042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17322, -139213, -470052, -1114311, -2176462, -3760977, -5972328, -8914987?\n\"Answer: -17412*z**3 - 2*z**2 - z + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 92*i + 89*i - 65871, -x + 21963 = -2*i. Is 37 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770360.58 microseconds to hours.\nAnswer: 0.00021398905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-6)\/3) + 5. Suppose -49 = -m - z. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 120\/11*y**2 + 200\/11*y - 19 + 1\/22*y**4 + 14\/11*y**3. Find i, given that p(i) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*c - 1639 = -417, 2*c = 4*b - 2432. Calculate the remainder when b is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 503 (b) 5 (c) -2 (d) -0.2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29971339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1279906 (base 10) to base 15.\nAnswer: 1a4371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o. Let d be f(-2). Let k = d + 0. Solve k*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgy when three letters picked without replacement from yshchgsgsysyss?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**3 - 2*w - 10. Differentiate p(d) with respect to d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 912 and 2047782?\nAnswer: 16382256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/((f*f\/(f*f\/(f**(-11)\/f)*f)*f)\/f*f)))\/f)\/(f\/f**(-2))*(f**(-4\/7))**(1\/60))**(-3\/10) assuming f is positive.\nAnswer: f**(1681\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59616 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 - 1 = 0. Suppose -3*b - 21 = s*v, b + 21 = -3*v - 3*b. Let d = v - -9. Calculate the lowest common multiple of d and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2, 4\/7, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2939 = 2164. Suppose -p = -6*d - 21*d. Calculate the remainder when d is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35025959 to the power of 1\/2, to the nearest integer?\nAnswer: 5918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -76587310 divided by 1355\nAnswer: -56522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2896818 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -10. Suppose 0 = -4*p - b + 168. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 896, 1346, 1796?\nAnswer: 2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77633789*w - 77633676*w - 8362 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 25*m**2 - 26*m + 54. Let u be g(24). Suppose 10*f + 4*j = u*f - 28012, -3*j = -f - 6991. Round f to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*y + 25 = -y, -5*q + 60 = 2*y. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 17. Suppose c - 1 = 3*t. Factor -47*u**3 - u + 46*u**4 + 0*u - 14*u**5 - 3*u - 7*u**3 + 26*u**t.\nAnswer: -2*u*(u - 1)**3*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(405) + (sqrt(405) + sqrt(405)*-3)*-1 + 2 - (4 + sqrt(405) + sqrt(405)*-2 + -4)))**2.\nAnswer: 432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*u + 16, -5*n - 25 = 2*u - 7. Let s = 29 + -29.2. What is the second smallest value in -2\/7, n, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223116 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 10:31 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = 151 - 70 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 955\/7. Let w be (-18)\/(-4) - 3\/6. What is the biggest value in w, k, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(208)\/(sqrt(1152) + (sqrt(1152)*4 + sqrt(1152) - sqrt(1152)) - sqrt(1152)))\/(sqrt(1800) + sqrt(1800) + sqrt(1800) + sqrt(1800)*4) + 5).\nAnswer: sqrt(13)\/2016 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y - 3*y + 2*y**4 + 96*y**2 - 78*y**2 + 2 to the form v*y**3 + l*y**2 + j + q*y + p*y**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n - 2*n)*(5*n - n - n) + (-n + 0 + 0)*(0*n - 3*n + n) - 6*n**2 + n**2 + 4*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/54 - 374*u**3\/27 + 1480*u**2\/9 - 573*u + 1. Factor b(r).\nAnswer: 2*(r - 370)*(r - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122 and 7.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17661 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -3 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47650 and 4450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 4 + sqrt(1331) + 4)**2*4 + -2.\nAnswer: 1408*sqrt(11) + 21550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1018 - 1032. Let p(t) = -2*t - 33. What is p(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l + 5. Let t(x) = 17*x + 18. Let g(c) = 9*b(c) - 2*t(c). Give g(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -4687.\nAnswer: 1406.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/37 (b) 1 (c) -1\/3 (d) 3\/4 (e) 2328\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 4*d - 5*j + 74, -23*j = -7*j - 21*j - 10 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -283 - -1322. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79340860*w**2*z**3 - 16*w**2 - 907117*w*z**2 + 2*z**3 wrt z?\nAnswer: 476045160*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3 and -1.15.\nAnswer: 3.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 32.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) 4\/5 (c) 127\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(6))\/sqrt(10) + (sqrt(108) - 4*sqrt(108)))**2.\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in microseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24157, -48300, -72445, -96592, -120741?\n\"Answer: -a**2 - 24140*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8428.887 centuries in months?\nAnswer: 10114664.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/16 - -109\/80. Suppose -2*u + 3*g = -7, 4*g - g = -5*u + 28. Which is the nearest to 0.1? (a) v (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from woroooroorworwwrr?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 106923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 33. Let d(b) = 1593*b - 17523. Calculate -4*d(k) - 2124*q(k).\nAnswer: -10620*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from hhcki.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssqj when four letters picked without replacement from {q: 3, j: 1, s: 11}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -116984005.2 rounded to the nearest 1000000?\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 73 + 32*r**3.\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -26. Let i be ((-52293)\/8)\/(-3) + 3. Let p = i - 2190. Calculate the common denominator of b and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.136 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5578, 8196, 15300, 29134, 51942?\n\"Answer: 374*m**3 - m**2 + 3*m + 5202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.8421 to one decimal place.\nAnswer: -56.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -c373 (base 16) in base 8?\nAnswer: -141563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/282088 and 23\/190.\nAnswer: 26798360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1596 = 21*a - 2*a. Let d be (-143)\/3 - 1\/3. Let z = a + d. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, s: 3}. What is prob of sequence ssaa?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 942*o**2 - 70*o. Let x be u(7). Let z = 66727 - x. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 16. Suppose -24 = 27*j - 29*j. Let k = j - a. Solve 0 = k*w - 2 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6247\/28 - -1224\/7. Let k = 48 + i. Suppose 3*v + 4*l = 9 - 1, -2*l + 4 = -2*v. Put -0.4, v, k in decreasing order.\nAnswer: v, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000678062557 to 5 decimal places.\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4000299*b**2 + b**3 + 4000299*b**2 - 21*b**3.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3556951, -3 in ascending order.\nAnswer: -3, 2\/3556951, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7335764.\nAnswer: 2, 457, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(16*o + 19*o + 17*o)*(3 - 6 - 1).\nAnswer: 416*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-12)*o*o\/(o\/o**(-1\/7))*o**(4\/5)\/o*(o**(2\/9)*o\/(o\/(o*o**(-5\/4)*o)))\/(o**(1\/2)*o)**(-41) assuming o is positive.\nAnswer: o**(75763\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-100)\/(-10))\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -24*z - 60. Let y be s(-15). Let r = y + -277. What is the highest common divisor of r and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c + 12. Let z be s(-2). Let f be (0 + (-54)\/z)*28\/(-6). Let n = 63 + f. Solve -3*q + q + 2 = n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28897 divided by -2?\nAnswer: 28897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*l + 14 = 0. Solve -2*o = r + 2, l*r + 13 = 7*o - 2*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - m + 2*m**3)*(8 + 5 + 1)*(-87*m - 73*m + 47*m) in the form a*m**4 + z*m**2 + r*m**3 + k*m + d and give a.\nAnswer: -3164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m**3 + 61*m - 29*m - 32*m.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100121012 (base 4) to base 7.\nAnswer: 366515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 16*m + 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-54)\/(-411)) - (-4)\/(-18). Let s(t) = -37*t + 20*t - c*t. Let p(x) = 2*x. Give s(p(k)).\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o - 44. Let n be 1*(-18 - 14\/(-2)). Let m(u) = u + 9. Let c(h) = n*m(h) - 2*g(h). Calculate c(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = 2*f + 18, 3*q - f = 13. Suppose 6*a + 92 = q*a. Is -45 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 29*h**3 + 11*h**2 - 14*h - 6. Let x(c) = 10*c**3 + 4*c**2 - 5*c - 2. Calculate 4*r(i) - 11*x(i).\nAnswer: 6*i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from ttqxxxxxv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-308)*(-21)\/12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10*(-8)\/(-1))\/((-90)\/25)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 + -123?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xckem. Give prob of sequence mk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 + -13 + 0 + ((-461216)\/96)\/(-71).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 41. Suppose u = -m - 0*m + 3. List the prime factors of 4*(0 - (-452)\/16 - m).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-62)\/(-24) + (-2 - -3) and (71\/((-318435)\/(-46)))\/(2\/(-3)*63\/(-960)).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 - (3 + (-6)\/3). Let b = -14 + v. Let r(s) be the third derivative of s**5\/60 - s**4\/6 - s**3\/6 - 16*s**2 - 7. Give r(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 - 2*o**4 + 0*o**4 + (2*o**2 - 2*o**2 - 2*o**2)*(9*o**2 - 2*o**2 + 0*o**2) in the form a + b*o + x*o**2 + z*o**3 + f*o**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 49\/4 + ((-3)\/(-4) - 0). Suppose 3*z = 2*n + 20, -n = -0*z - 2*z + m. Solve -4*c = -10*c - z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 33 + 937863*m**2 + 68.\nAnswer: 937863*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 3*l = 36, -6*p + 8*p + 6 = p - 4*l for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 9*o - 28 + 8*o - 17*o. Let l be n(12). Let u = -0.48 - -0.58. Which is the closest to u? (a) l (b) 14 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -938 bigger than -950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 4*h + 56. Let z(u) = -u**3 + 7*u**3 - 7*u - h*u**2 - 4*u**3 + 5 + 3*u. Let f(l) = -2*l**3 + 6*l**2 + 3*l - 4. Determine 5*f(v) + 4*z(v).\nAnswer: -2*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(3\/5)*h)\/h*h**(-11))**(-48)*((h**(1\/4))**(-2\/13))**45 assuming h is positive.\nAnswer: h**(58431\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 2 - -3*1. Suppose -3*x + 2*x + 6 = o. Calculate the remainder when x is divided by (((-2)\/32)\/((-429)\/(-5148)))\/(6\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 17412930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -10*x + 2*x. Calculate the smallest common multiple of x and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 + 118 + 231 - 616 + 161 - k.\nAnswer: -k + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 249\/12 - 8\/(-32). Suppose -4*g = -3*j + 25, 2*g + 3*j = 5*g + i. Let k be (-4 + 42\/8)*g. Let m(r) = -r - 7. What is m(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-14))\/p)**(-5\/11)\/(p\/p**(-17)*p*(p\/p**9)\/p) assuming p is positive.\nAnswer: p**(-180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:43 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-12)\/102 + (-287)\/17). Let s = -47 + u. Suppose 0 = 4*o + 12, s*o + 7 = 6*b - 7*b. Solve -n - 7*f = -2*f + 3, -b*n - 15 = -5*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -2006\/9 (b) -0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7229403083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 - 67. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3. Let z(s) = 10*s**3 + 2*s**2 - 2*s + 2. Let t(c) = -99*c**3 - 21*c**2 + 21*c - 21. Let q(u) = 2*t(u) + 21*z(u). What is -28*m(k) + 2*q(k)?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. What is the highest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 4*u - 2. Calculate o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31623850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 1\/2, 4550?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 2:38 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 34. Suppose p - 5*j - 47 = 0, 9*j - 115 = -5*p + 4*j. Let q = b + p. Calculate the highest common divisor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16139, -4, 1, 0.03, 26 in ascending order.\nAnswer: -16139, -4, 0.03, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:26 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -51. Let i = w + 0. Let d = 33 + i. Which is greater: 10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 737 - 385. What is the greatest common divisor of 128 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 3, -3 in descending order.\nAnswer: 106, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-8)*(-56)\/(-21). Find the third derivative of 38 + 11*k - 72*k**3 + 9*k**c - 11*k - 2*k**2 - 5*k**2 wrt k.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 675 + -673. Solve 3*k + o = -q, -3*q - 13 = -0*k + 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/6 + (-4)\/(-6). Suppose -24 = -3*j + 4*q - q, 0 = -3*j - k*q - 4. Suppose o = 5*o + 3*t - 54, 7 = o + j*t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4464948, 8929898, 13394848, 17859798?\nAnswer: 22324748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3371, -1, 1, -20, 45 in descending order.\nAnswer: 45, 3, 1, -1, -20, -3371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -3*k + 3*f, 4*f + 263 = -3*k + 8*k. Suppose -k = -34*t + 31*t. Let a = -56 + 120. Calculate the remainder when a is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, 5\/6, -0.422, -37?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-83)\/17 + (-20)\/170. Let j = 1 - 0. What is the smallest value in n, j, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 23 + 30*j**4 - j + 18*j**4 + 0*j + 2*j**4 as t + n*j**2 + v*j + c*j**3 + q*j**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -12, 28*m + 18 = 26*m - 4*v. Sort m, -2, -3, -40, -26 in decreasing order.\nAnswer: m, -2, -3, -26, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*b - 5 = 0, 5*b - 76 = 6*t - 16. Sort 57, -4, t, 21 in ascending order.\nAnswer: t, -4, 21, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**2 + 319996182*y + 8533129707881427 = 0.\nAnswer: -53332697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006327 rounded to six decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = -5*k + 1189. Calculate the remainder when k is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -98, 0, -5, 5 in descending order.\nAnswer: 5, 3, 0, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(13 - 13 + 6*f**4) - 4*f + 43*f**4 + 4*f + (-2*f**3 - f**2 + f**2)*(-1 + 1 - f) in the form c*f**4 + w*f**2 + a + x*f + v*f**3 and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1539 (base 14) to base 15.\nAnswer: -11ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)\/(t*t\/(t\/(t*t**(-8)\/t))))\/((t\/t**3)\/t*t)**18)**(-44))**(-27) assuming t is positive.\nAnswer: t**49896","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*g**2 - 2*g**2 + g**4 - 405*g**3 - 75*g + 293*g - 218*g to k*g**4 + a*g + s + q*g**2 + r*g**3 and give r.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*d**4*k**3 + 12*d**4*k - 197*d**2 - 4*k**3 wrt d.\nAnswer: -648*d*k**3 + 288*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + m**2. Let a be t(-1). Suppose a = -7*i + 4*i + 18. Let h = 36 - 20. Calculate the remainder when h is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 17*o**2 + 17*o + 34. Let a be b(-18). What is the greatest common divisor of 78 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d. Let f = -24 - -28. Let b be (f\/(-6) - 296\/(-12)) + -3. Let c(j) = j. Calculate b*c(w) - 3*n(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3*v - 3. Let m be o(-1). Let g be (m + -1 - -2634) + -2 + 0. What is g rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010010 - 101001111111?\nAnswer: -110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 462\/20875 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 1*(sqrt(208) + (sqrt(208) - (sqrt(208) + 0)*1)))*-1)**2*5.\nAnswer: 160*sqrt(13) + 4180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10114 + 2?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7075*q + 127386. Determine y(18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 4*x**2 + 6*x + 4. Let j be v(-5). Let r be 3*(-5 + 3)\/(-2). Sort r, 10, j in decreasing order.\nAnswer: 10, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1381380 to the nearest ten thousand.\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -329468.61 + 329468.88434886. Let o = a - -79.72557014. Let z = o + -80. What is z rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/20 + f**4\/2 + f**3\/3 + 5*f**2\/2 + f. Determine x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfqqttqttqfqftqqf. Give prob of sequence qq.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*g - 21, 0 = -3*z - 1 + 4. Suppose -d + 21 = 4. Suppose 2 = -5*y + d, -4*y = 2*w - 38. What is the remainder when w is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -13. Let y = u - 0. Let k(z) = z**2 - 72*z - 459. Let h be k(-6). Solve -y*i - 2 = -h*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from {s: 1, b: 5, l: 2, f: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(3 + -1 + sqrt(405))*-3.\nAnswer: -405*sqrt(5) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*6)\/(2436\/(-174)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/54*(1440\/(-70))\/(-12)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**4 + 22787835*l**3 + 22787865*l**2 - 113939215*l + 68363520 = 0.\nAnswer: -3, 1, 4557568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -28. Let v = 4 + u. Let f be (2\/3)\/((-43)\/3). Put 3\/4, v, f in decreasing order.\nAnswer: 3\/4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232)\/(-14) + (12 - (-891)\/(-77))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*r**4 - 50*r**3 + 45*r**2 - 10*r.\nAnswer: 5*r*(r - 2)*(r - 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-47)\/(v\/((v*v**(-8)*v)\/v*v)*(v\/(v**12*v))\/v) assuming v is positive.\nAnswer: v**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8292 + 8994 = -26*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(110)*-2 + sqrt(110))*-1)\/(sqrt(20)\/((sqrt(2) - 2*sqrt(2))*4)).\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 3}. What is prob of picking 1 r and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b3 + 473b81?\nAnswer: 473c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27137, 54281, 81431, 108593, 135773, 162977, 190211?\nAnswer: 217481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -36. Solve -3*j + f - 2*f = 8, 0 = 3*j - f + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + o + 2 + (2*o - 3*o + 3*o)*(1 + 0 + 1) - 5 - 213*o + 24*o + 220*o + 4 + 2*o - 4 as h*o + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.24 (b) -5 (c) -18.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 13. Let d be n(-9). Suppose -d*v = v. Let o = -11511\/17 + 677. Which is the nearest to v? (a) -3\/4 (b) 4\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 - 384 - 3*x + 165.\nAnswer: -3*x - 708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*a**2 - 434*a**2 + 136*a**2 + 141*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 1 = -s - 2, 2*s = -3*z + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 10 - r + 13 as h + q*r and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31312 - 642*y + 31312)*(0 + 1 + 1) to c + r*y and give r.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*l + l, i = 613*l - 608*l - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 28089 - 28089. Let c(a) = a - 3. Let j be c(5). Solve -j*m - 8 = -v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 1 - (-12 - -16) - (-22 + 17)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 0.21, -2, -1\/2, -234?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-7 + 8 + 6 - 14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4 - 10. Suppose -2*y + 6 - p = 3*u, 0 = u + 3*y - 6. Let m = 13 - 18. Sort m, 4, u.\nAnswer: m, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 42 = -2*s, 5*x - 5*s - 66 = -11. Suppose 87 = 3*b + 3*r, x - 155 = -5*b - 3*r. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6 - 4*x - 8 + 5*x + 12. Let v be l(-10). What is the second derivative of 2*i**4 + 11*i - 7*i + v*i wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9634\/13 + -741. Let i(r) be the second derivative of 2\/39*r**3 - v*r**2 + 0 - 1\/78*r**4 + 4*r. Factor i(z).\nAnswer: -2*(z - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4808\/43029 - 3\/4781. Factor 1 + 5\/3*d + 7\/9*d**2 + v*d**3.\nAnswer: (d + 1)*(d + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 6*s + 2*s + 20 = 0, d + 5 = 3*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120220202 (base 3) in base 4?\nAnswer: 112003133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 525*g - 4198. Determine n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/476 and 51\/658.\nAnswer: 22372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 16) in base 5?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3414, -3430, -3456, -3492, -3538, -3594?\n\"Answer: -5*u**2 - u - 3408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 4*v**2 + v - 1. Let u be j(4). Solve -u*w + 5*t - 10 = 0, -w + 0*t = -3*t + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184 + 3436*v**5 + 39999*v**5 + 184)*(0 - 4 + 2).\nAnswer: -86870*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2128 and 45471636?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103202 + 0?\nAnswer: -103202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 189 in -1\/5, -1, 0.05, -7\/4, 250, 0.3?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*k + 5*j + 4, -5*k + 14 = -3*j. Find the third derivative of -3*q**2 + q**4 + 3*q**k - 4*q**4 - 11*q**5 wrt q.\nAnswer: -660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/w**(-8\/11))\/(w**(-25\/2)*w*w**(-2\/15)\/w*w) assuming w is positive.\nAnswer: w**(4013\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4*l + 47*d**4 - 9*d**3*l - 99*d**2 - 266*d*l wrt d?\nAnswer: 24*d*l + 1128*d - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(702\/(-65))\/18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + 23 - 25.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(45) - (sqrt(45) - sqrt(225)\/sqrt(5))))\/(6*sqrt(6)\/sqrt(2) + sqrt(3)))\/(-4*1*sqrt(720)*2*-1).\nAnswer: -sqrt(3)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8609697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -47 (c) -4000\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 + 10*h - 1. Let l be v(0). What is the units digit of l + -1 - (3 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -65. Let m(a) = a**3 - 2 + a + 3*a + 0*a + 6*a**2. Is 3 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 + -225. Let y(l) = -l**3 - 6*l**2 - 7*l - 7. Let r(j) = -4*j + 3. Let z be r(2). Let i be y(z). Which is the closest to u? (a) 1 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 64550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557174195.\nAnswer: 5, 23, 179, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*u + 79*u. Let f(q) be the first derivative of u*q**3 + 0*q**2 - 5 + 7\/5*q**5 + 8*q + 0*q**4. Differentiate f(s) wrt s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 564 (base 9) to base 5\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -9*y - 22. Let t = -120 - -124. Which is the third smallest value? (a) -1\/10 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5548 + -3810. Is j a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 1. Let o(b) = -b + 4. Let q be o(4). Let x = -1192 - -1191.9. What is the closest to x in s, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2612, 2613, 2614, 2615?\n\"Answer: t + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h**2 + 0*h**2 + 6*h**2 + 76 as u + n*h + w*h**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2743393 is divided by 446.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 5541\/173?\nAnswer: 5541\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 3. Let t be l(2). Let d be t*(6\/(-2) + 1). Suppose 7*r - d*r + 5*p = 35, 20 = 4*p. Solve -4*x + 12 = -3*o, -o - 2*x = r*x - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 546.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/24)\/((-85)\/(-68)*(-8)\/6). Find a, given that 7\/4*a + 3\/2 + q*a**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3807, -7695, -11583, -15471, -19359, -23247?\n\"Answer: -3888*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 4\/5, -3\/5, -0.2, 1.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:45 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*j + 737*j = 72 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 126.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2010815, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a - 37*a - 8 = 0. Solve -d = 4*d - 10, 2*h = 2*d - a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002116 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.6 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 1\/82, 6, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41413 is divided by 221.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:38 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784657?\nAnswer: 7, 109, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -521*u**3 - u + 403*u**3 - 523*u**3 to g + n*u**3 + w*u + a*u**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - b + 2. Let p be x(-3). Suppose 3*k = 2*k - p. Let a = -15 - k. What is a rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -625*a**3 + 1153*a**2 wrt a.\nAnswer: -3750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -360, -371, -380, -387?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/141 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890 minus -0.02?\nAnswer: 4890.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -60. Let h = u - 4. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-70)*28\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 347 = 3*j, 95*y - 94*y - 186 = j. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/390*(-1575)\/15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 5. Let v(f) = 2*f - 2. Let s(x) = 5*v(x) - 2*z(x). Let w = 29 - 28. Suppose -2*q + 3*q - w = 0. What is s(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 34*q - 13. Is o(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from nzmmttttmttt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2 (c) -0.78 (d) -2.57 (e) -4 (f) -4\/9 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110*l + 168.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 12, -2*q - 1 = d + 4. Put d, -1, 4 in ascending order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1962167 + 741*v**2 + 1962167)*(-2*v - 1 + 1) + 3 - 3 + v**3.\nAnswer: -1481*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 - 14*t**2 + 123 - 65 to f + l*t + c*t**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 463*h**2 - 362*h**2 + 74*h**2 - 335*h**2)*(3*h**2 + 7*h**2 - 5*h**2).\nAnswer: -5415*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5\/3*x**2 - 500\/3 - 145\/3*x = 0.\nAnswer: -25, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7346636 is divided by 3672907.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ce7 (base 15) in base 13?\nAnswer: -9016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = 6*x, 3*n - 2*x + 2 = 0. Let r be -5*(18\/10 + -1). Let h be 3\/((-6)\/(-3) - 3). Put h, r, n in ascending order.\nAnswer: r, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 33*s - 28. Let w be h(-32). Let u(n) = n**3 + 2*n + 5. Suppose -b + 5 = -0*b. Let f(l) = -l**3 - 2*l - 4. Determine b*f(x) + w*u(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -894200 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:31 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 11*g**2 - 14*g - 35. Let o = -41 + 56. Is r(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123232 - 3?\nAnswer: -123301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/2 + j**3\/3 - 5*j**2\/2 + 8*j. Let l(s) = 17*s**2 + 6*s - 14. Calculate 4*l(u) - 11*z(u).\nAnswer: 2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 + 22*f**3 + 419 - 8*f**3 - 465 + 243.\nAnswer: 2*f**3 + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 182.6014l?\nAnswer: 182601.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -77279?\nAnswer: 77286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 14*s + 23. What are the prime factors of q(-9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r + 11*r + 27*r - 80*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-1337 + 1326 - (-1 + -2 - -107 - 1))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 105 = 63. What is the highest common factor of f and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -44. Factor -9*t**3 + t**2 + 10*t**2 - t**c + 7*t**3 - 8*t.\nAnswer: -2*t*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 209493 - 209717 = -7*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -122776 + -669?\nAnswer: -123445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6*p = -1120. Let m = p + -1469\/9. What is the common denominator of m and 47\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10 - 33\/15. Let f(b) = -2*b**2 - 1. Let n(y) = -8*y**2 + y - 3. Let k(g) = -9*f(g) + 2*n(g). What is k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2 + 2*u. Let x be c(2). Suppose x*f = 5*f - 3*y - 9500009, y = -3*f + 5699997. What is f rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*a**2 + 168*a**2 - 506*a**2 + 170*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 - 2*x**3 - x**2 - 3 - 3*x**4 - 5*x**3 + 5*x**3 to the form p*x**3 + u + y*x**4 + j*x + s*x**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -466656 (base 9) to base 10\nAnswer: -280473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + x**2 - x**2 + (-3 + 2*x + 3)*(-4*x + 3*x + 3*x) + (-3*x + 3*x - 2*x)*(2*x + 0 + 0) + 47*x**2 - 7*x**2 + 35*x**2.\nAnswer: 73*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*b + 41 + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 124181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96180, -96217, -96278, -96363, -96472, -96605?\nAnswer: -96762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 83 - 103 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2048*o**2 - 79000448*o - 761849460962.\nAnswer: -2*(32*o + 617191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/504 - 2*w**7\/315 - w**6\/45 + w**5\/45 + w**4\/12 + 4*w**2. Solve q(f) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -2143?\nAnswer: 214a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/36*(-6)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -26.3, 19, -34\/3, 4 in ascending order.\nAnswer: -26.3, -34\/3, 2\/9, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2 = -8*f, -2*l + 5*f = -13. Solve 0 = 5*m + 3*o - 24, -3*m + 4*m + 2*o - l = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/2, -13\/9, -29\/8, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 66. Let n be 17\/(357\/m) + 4\/14. What is the highest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628.7 less than -264466?\nAnswer: -265094.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 310614. Let r(x) = -247*x**2. Calculate l(r(d)).\nAnswer: -494*d**2 + 310614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1041 + -24?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 245*c**3 + 45157*c**2 + 1979308*c + 561836 = 0.\nAnswer: -113, -2486\/35, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-72)\/(-33) + 4\/(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-514)\/12 - (-58)\/348)\/(1\/(-39)). What is the greatest common factor of 247 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -0.1. Let w be 16\/10*(-83)\/332. Let p = 10 - 2. Sort w, p, l in increasing order.\nAnswer: w, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**2 + 27*s**2 + s**2)*(6*s + 2*s + s)*(-2*s**2 + 3*s**2 + 0*s**2).\nAnswer: 315*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50463806.\nAnswer: 2, 47, 536849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 + 2*b**2)*(b - 4 + 4) + 4*b**3 + 15 - 15 + (-2*b**2 + 5*b**2 - 4*b**2)*(3*b - b + 0*b) - b**3 - b**3 - b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 120*s + 1675. Let f(z) = -7*z - 99. Give 35*f(c) + 2*t(c).\nAnswer: -5*c - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g - 5*g. Let k(w) be the first derivative of -g + 0*w**2 + 1\/15*w**6 + 0*w**5 + 0*w - 1\/10*w**4 + 0*w**3. Factor k(z).\nAnswer: 2*z**3*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlig when four letters picked without replacement from {a: 3, g: 2, m: 5, i: 5, l: 4}?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 73862298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -7*j + 3*j. Calculate the highest common divisor of j and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**9)\/(z*z*z\/(z**(2\/25)*z)))**(-12\/5) assuming z is positive.\nAnswer: z**(-2424\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-17))\/(u*u**(3\/8)) assuming u is positive.\nAnswer: u**(133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 3*b + b + (7 - 3 - 1)*(-4*b - b + 12*b) to a + r*b and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1392*o - 6*o**2 + 4*o**3 + 125*o + 6*o**2 + 1268*o.\nAnswer: 4*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 12. Let o be ((-4)\/p)\/(552\/60). Let k = 496.8 + -497. Sort o, 3, -0.8, k in ascending order.\nAnswer: -0.8, k, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 1174 = -4*z, -214 = z - 299845*l + 299841*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2048818 + 755842 = -54*c. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -53835\/7144?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -296, -373, -454, -539, -628, -721, -818?\n\"Answer: -2*c**2 - 71*c - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -3. Let z = h + 12. What is the closest to 3\/2 in z, -3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*g + 6. Find the first derivative of g*y + 1 - 2 + 4 wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 122987 (b) -6 (c) -0.04 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75178, 150368, 225558?\n\"Answer: 75190*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - 15*h - 6. Let y be a(-5). Let w be y\/8 + 1 + 55\/4. What is w rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2128 and 109\/364?\nAnswer: 27664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 - 3*l**2\/2 - 21*l - 4065. Calculate s(-9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 602154 and 4347.\nAnswer: 13849542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203 - -207) + (-28 - -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 h when three letters picked without replacement from hihhyyimbhxbbib.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(13) - (2*(-2 + sqrt(13)))**2) - (sqrt(13) + (sqrt(1872)*-5 - sqrt(1872))).\nAnswer: 68 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 45*v**2 - 325*v + 38. What is d(36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 - -114.87. Let l be (-8)\/57*1\/((-12)\/9). Put l, 0, -0.3, t in decreasing order.\nAnswer: l, 0, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 3.01469.\nAnswer: -33.16159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1\/6))\/z*z)\/(z*z*z\/z**3)*z**(2\/7)\/(z*z\/z**(5\/3)))\/((z*(z\/z**(-1))\/z)**(-7))**(2\/3) assuming z is positive.\nAnswer: z**(439\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (394650\/270)\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g - 23*g + 3*g as w + n*g and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/14931 and 119\/341280.\nAnswer: 2388960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/24 and 59\/304.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2270 and 12820960.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*z - 27*b**2 - 71*b*z + b wrt b.\nAnswer: -2*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 7, i: 2, h: 1, u: 2, p: 1}. What is prob of picking 1 p, 2 a, and 1 i?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by ((-4)\/(-7))\/((-2)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q\/(q\/(q*(q**(2\/13)*q)\/q)))))\/q)\/q*q*(q\/q**(1\/4))\/q)\/(q**2\/q**6)*q**5\/(q\/q**(4\/5))*q**(-2\/7)\/(q\/(q*q*q**(-4)*q)) assuming q is positive.\nAnswer: q**(9861\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 402164 and 4452.\nAnswer: 1206492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 405286 and 11040011.\nAnswer: 11445297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610.2283ns to milliseconds.\nAnswer: 0.0006102283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 5\/2 (c) -45 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 350*v - 4641 - 259 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*m + 3205 = 0, -10*n + 7*n = m - 1943. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455484835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 60, 240, 546, 1008?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 582 and 365884?\nAnswer: 1097652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -111255 (base 7) to base 3\nAnswer: -1000000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 289182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/24 and -125\/84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8207*f - 130579. Give z(-16).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxll. Give prob of sequence xl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let k be w(6). Suppose 2*i - k = -u, -i + 35 = 3*u + 2. Suppose 4*z - u = 3*q - 1, -2*z + 3*q = -13. Sort 1, z, -0.05 in increasing order.\nAnswer: z, -0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -2*h - 50. Suppose 4*d - 6 = -5*j + 18, -3*j + h = -d. Solve 0*x - j = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/10)\/(6\/15). Suppose -h*p = p. Suppose p = m - 2*m - 3. What is the closest to 0 in -0.2, 0.5, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3879*b = -3870*b - 9315. List the prime factors of b.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7353 + 29204. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 - (-4 - -1)\/(-3). Let t = u + 20. Is t\/((16\/94)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6. Let r = 2 - c. Solve 4*m = -r*a + m - 15, 2*a - 5*m = 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 162\/36*4\/30. What is the biggest value in -0.3, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (14 + 1 + 2 - (-519 - -529))) + -23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 - 46 = 0. Suppose -f*h = -4*h - 348. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311130 (base 5) to base 4\nAnswer: -2132311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5754 - -9418. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.5216 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1802)\/(-85) + -12)*-6*50\/(-120)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8001*w**3 + 8702*w**3 + 3 + 1.\nAnswer: 16703*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from xxrixxirix.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 11*s + 12. Let t(v) = v**2 - 7*v + 12. Let z be t(7). Let y be i(z). Solve -x + 5*x - 16 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*k - k. Suppose -4*s = -5*s + k. Suppose 6*h = 4*h + s. Solve -13 - 7 = -h*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, i: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/890, -2\/13, 0.\nAnswer: -2\/13, -3\/890, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 bigger than -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + -93. Suppose -9 = -8*t + i. Suppose 3*j - 896 = -2*j + t*q, 0 = 5*j - q - 892. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 179 - -3?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 124712 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: Let d(j) be the second derivative of -1079*j**3\/3 + 4573*j**2\/2 + 7*j + 93. Differentiate d(m) wrt m.\nAnswer: -2158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -143926, -153081, -162236, -171391, -180546, -189701?\n\"Answer: -9155*f - 134771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cseeseceeessees. What is prob of sequence cc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.60589 millennia to centuries.\nAnswer: 756.0589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 490 - 7354\/15. Let o = 560649\/8 - 70081. Sort o, m, 3, -3 in descending order.\nAnswer: 3, o, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 18 = 3*s. Let t be 15 + s - (-3 + 5). Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50183, -50202, -50223, -50246, -50271, -50298?\n\"Answer: -x**2 - 16*x - 50166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 + 159. Let c = -13 - -8. Let h = -0.3 + 0.4. What is the closest to h in b, 2\/7, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6932373*c**4 + 1913*c**2 + 2*c - 14 wrt c.\nAnswer: 166376952*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908 = -12958*c + 12731*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -34, -65, -100, -133, -158, -169?\n\"Answer: d**3 - 11*d**2 + 5*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 = -8. Suppose -o*z + 36 = z. Let s = -8 + z. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.71 + 3.93. Let y = 5.18 + x. Which is the nearest to -2\/7? (a) 2\/7 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.9 take away -33.92?\nAnswer: 441.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -33, -31, -25, -21, -25, -43, -81?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/494 and 47\/144209?\nAnswer: 5479942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m, -6*g + 4*m = 6*m + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c + 5. Suppose -4*a + 72 = -32. Let q(g) = -28 + a + 0*g - g. What is 10*q(h) + 4*t(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00395 + 1.57395. What is the nearest to 2\/13 in 4, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25838 is divided by 5160?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - ((-16)\/(-6) + -1). Let w(d) = -6*d + 6. Calculate the lowest common multiple of w(t) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**5\/100 + 19*s**4\/20 - 261*s**3\/10 - 841*s**2\/10 + 1149*s. Let w(f) = 0. What is f?\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*w**5 - 2602*w**4 + 18*w**2 - 16457*w + 2 wrt w.\nAnswer: -2760*w**2 - 62448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*a - 51. Calculate the remainder when 54 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4714491 millennia in years?\nAnswer: 471.4491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 35 - j - 15.\nAnswer: 3*j + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 4*n, -4*z + 31 = -2*n - 15. Suppose 0 = -z*i + 14*i. Is 21 a factor of 146 + (i + 1 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(4\/((-32)\/12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**8\/336 + j**5\/15 - 5*j**2\/2 + 5. Let h(r) be the second derivative of i(r). Find the third derivative of h(t) wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*z - 106*z + 69*z - 68*z as b*z + i and give b.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/534639 and 23\/76377.\nAnswer: 534639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-425)\/34)\/((-15)\/(-30)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/((4 + -3)\/2). Suppose -7 = -4*p + 5. Suppose -t - u**2 + 3\/2*u**p - 7\/2*u = 0. Calculate u.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 412*l + 4*l**2 + 418*l - 6 - 825*l. Let n be h(1). Solve -n*s + p = 11, -5*s - 3*p = -2*s + 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, u: 1, r: 2, p: 1}. Give prob of picking 1 p and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 3\/313?\nAnswer: 3\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 8*w**2 + 24*w - 36. Calculate p(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*x = -3*m + 52202, 0 = -4*m + 4*x - 104396. What is m rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403421 (base 8) in base 12?\nAnswer: 64a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 23*t**2 + 18*t - 260. Let q(y) = 12*y**2 + 8*y - 130. Let b(d) = -5*q(d) + 2*v(d). Find the first derivative of b(u) wrt u.\nAnswer: -28*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2554565 is divided by 151.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Let p be 0*(2 + -1) - (-1 - i). Solve 1\/5*f**3 + 0 + 0*f - 2\/5*f**p = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -q + 1, 65 = -3*h - 4*q + 89 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y + 20. Let o(z) = -1. Let p(n) = 2*n**2 + 23*n + 12. Let l be p(-11). Suppose 5*r = 19 + l, -4*a + 4*r = -64. What is a*o(h) + k(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9471 divided by -33.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1700*q**3 + 3 - 575*q**3 - 3 - 572*q**3 - 584*q**3.\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + ((-10)\/25)\/((-2)\/(-10)). Solve k = -h + 1, d + 5*h - 10 = 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o. Which is the third smallest value? (a) 0.3 (b) o (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-5) - 3\/15. Suppose -s*o + 3*d = -d - 274, 145 = o - 4*d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6043 - -26969. Let z = s - 82809\/4. Let h = z + -221. Which is smaller: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3 - 2*c**2 + 2 - 2*c**2. Let f be -2*(68\/8 + -9). What is o(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.659428962 rounded to four decimal places?\nAnswer: -5.6594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (3 + 11 - (16 + -4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + v**2 - v + 1. Let a be w(1). Let u be (3\/6)\/(a\/(-10)). Suppose 106 = u*r + 11. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7849*w - 20 = 3922*w + 3922*w. Let o = -47 + 113. Calculate the least common multiple of w and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3499268591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a + 8 = -2*j, 5*a - 26 = -j. Is 1\/j + 271 + (-6)\/(-3) 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 11231 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/6 - r**2 + 2*r - 501. Let k be -5*(6\/(-10))\/1. Suppose -k*q = a - 0*a + 20, -2*q - 16 = 2*a. What is n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*m - 105*g**3 + g**2*m + 17*g*m - 5*g + 5*m wrt g.\nAnswer: 12*g*m - 630*g + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24227595, -24227603, -24227611, -24227619, -24227627, -24227635?\nAnswer: -24227643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/6)\/((-265)\/(-1484)). Suppose -g*t + 2 = 4*k - 15*t, 2*k + 2*t + 4 = 0. Factor -y**2 + k + 0*y - 1\/2*y**3.\nAnswer: -y**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**2 - 7*n + 3. Let a(b) = -15*b**2 - 15*b + 6. Let p(v) = 2*a(v) - 5*d(v). Calculate the remainder when p(1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8249 and 511?\nAnswer: 57743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -0.06, 115, 2, 1, -3\/2 in decreasing order.\nAnswer: 115, 4, 2, 1, -0.06, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13433.5 - 13585. Round r to zero dps.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -1037, -3951, -9841, -19751, -34725, -55807?\nAnswer: -84041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7257\/8 + 907. What is the nearest to 2 in 0, v, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521774588.\nAnswer: 2, 130443647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 - 2*q + 400. Let j(v) = v**3 - 12*v**2 + 3*v - 811. Determine -3*j(u) - 5*k(u).\nAnswer: -3*u**3 + u**2 + u + 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**8\/120 - u**4\/8 - u**3\/2 - 9*u**2. Let k(s) be the first derivative of v(s). Differentiate k(r) with respect to r.\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40924\/105 - 1169\/3. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-102)*-2 - (317\/(-17118))\/((-68)\/(-42))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -20. Let p(k) = 6*k**2 + 3*k - 2. Let z(a) = -5*a**2 - 3*a + 3. Let q(l) = r*z(l) + 3*p(l). Find the second derivative of q(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + g + 3. Let t be v(3). Let o be (-6)\/5*(-10)\/4. Let s be (-5)\/t - (-1)\/o. Solve -s*m = -m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n*n\/(n**(-5)*n))**(11\/4))**9 assuming n is positive.\nAnswer: n**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**2 + 4*v - 1. Is y(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a57ca6 + -3?\nAnswer: -7a57ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 17*t**2 - 2*t + 18. Let o(p) = p**2 - 15*p + 9. Let y be o(13). List the prime factors of l(y).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.62 - 0.22. Which is the nearest to 0.1? (a) 0.2 (b) -1\/8 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49 + -0.99. What is the closest to 144 in h, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2d8 (base 15) to base 13.\nAnswer: 14270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 7. What is the units digit of f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -246 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(55\/6 - 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 - 4*x - 12. What is the tens digit of s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*3*-2 - sqrt(88))*5)\/((sqrt(864) - (sqrt(864)*-5 - sqrt(864)))\/sqrt(3)).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b9e + -3?\nAnswer: b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -537*p + 16 - 6 - 1 + 8 + 1 with respect to p.\nAnswer: -537","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {n: 1, t: 2, p: 1, e: 1, b: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48765*3\/(-14544) - 10 and -63\/16?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 99 + (-34 - -66) + (-8 - -1). What is the highest common divisor of 10323 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - ((-9 - -8) + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 1:40 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/42 + 38106\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 2. Let g(v) = 2*v**2 - 3*v - 2. Let j be g(3). Is q(j) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 36*l - 4243. Calculate the remainder when 705 is divided by b(120).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372314023 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-4 - -9) + 2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/38 and 50\/323?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 z, and 1 x when four letters picked without replacement from {z: 2, x: 1, w: 6, d: 1, i: 4, t: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgtsnmgnttt. What is prob of sequence nt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1073107 and 49.\nAnswer: 7511749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2737 - -2809. Let t = 23 + -8. Calculate the lowest common multiple of (9\/t)\/(1\/10) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*k**2*s**3 - 5928*c**2*k**2*s**2 - 7*c*k**2*s**2 + c*s - 6*k**2*s**2 - 624338*k*s**5 wrt s?\nAnswer: -6*c**2*k**2 - 37460280*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8 = 3*j, 3*j + 3*q = 2*j - 4. Suppose -3*f + 24 = -2*z - z, -4*f + j = 2*z. Is (-694)\/((z - -12)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40914 divided by 78?\nAnswer: 6819\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111210 + 2?\nAnswer: 111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1\/3 (b) 1 (c) 4 (d) -656\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23933, -21088, -16339, -9680, -1105?\nAnswer: 9392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from svsvovovvovvvvvi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-12) + -2 - (-1100)\/(-6). Let o = x - -208. Suppose 4 = 4*v, -5*v + 77 = -3*h + 6*h. What is the greatest common factor of h and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 14 = 0. Let u = -70 - -74. Suppose 2*v - 5*n = -21, -5*v + 15 = 5*n - u*n. Calculate the smallest common multiple of v and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + a + 0 + 5 = 0, 2*t - 3 = -a. Suppose -2*h = -t*n + 5 + 3, -4*h = 5*n - 20. Suppose 3*o = -h + 27. What is the least common multiple of 10 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428 divided by -65594?\nAnswer: -714\/32797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2705732594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/14 - 2\/21. Sort -2\/63, -3, l, 5 in increasing order.\nAnswer: -3, l, -2\/63, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -84*t. Let x(g) = 21*g. What is -21*x(q) - 5*y(q)?\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 6, e: 4, d: 3, k: 3}. Give prob of picking 3 l and 1 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/126)\/(-14 - (-6888)\/490).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 3*d**2 + 4*d + 19. Determine u(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 8*s + 364 = 0. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*242\/550)\/11*-73\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 16 + 2124*u - 2124*u.\nAnswer: -4*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**4 + 0*m**5 - 11\/2*m**2 + m**3 + 114 - 22*m**6 + 0*m. What is the third derivative of p(o) wrt o?\nAnswer: -7920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1) + -6 + (-324)\/(-90). What is the second smallest value in 2\/1493, -3, b?\nAnswer: 2\/1493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 29 = -47. Solve 11 = m + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -26877.8?\nAnswer: 26877.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(2\/5)\/x*x\/(x**(2\/9)*x*x)*x**(-3\/5)*x*x*(x\/x**(4\/7))\/x assuming x is positive.\nAnswer: x**(317\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) -1\/11 (c) 5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-5) + 16 - (30 + -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) -20 (c) 0.3 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37777, -37792, -37807, -37822, -37837, -37852?\nAnswer: -37867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 114*x**5 + 231*x**4 + 120*x**3 + 3*x**2 = 0.\nAnswer: -1, -1\/38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 28290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5490 = 2*w + 10*q, -3*w = 3*q - 8217. Suppose -w = -4*n + 3*m, n - m = -4*m + 695. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657588, -657572, -657544, -657498, -657428, -657328, -657192?\nAnswer: -657014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/140 - i**4\/14 + 24*i**2 - 1. Solve r(t) = 0 for t.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180190604625 less than -2?\nAnswer: 180190604623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/882 and 67\/196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 9. Let h(f) = -f**3 - 6*f**2 - 8*f - 11. Let c be h(-5). Let x(o) = 2*o. What is the remainder when t(c) is divided by x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50\/3 + 356\/21. Which is the closest to 1? (a) -1\/7 (b) 13 (c) r (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-24)*9300\/(-775)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101001000 (base 2) to base 9.\nAnswer: 6684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 26. Let y be b(-14). Let u(z) = 2*z - 1. Let k be u(2). Let l be 0 - (2 - -2)\/4. Sort k, y, l in increasing order.\nAnswer: l, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21113*-102\nAnswer: -2153526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -33. Let p be 9 + t - (0 + 3). Suppose p = -2*r + 7*r. Solve x - 7 = 3*n - n, r*x - 5*n = 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**3 + 0*y**3 - 5*y**3)*(8*y - 21*y + 5*y) + 3*y**4 - 3*y**4 + 2*y**4 in the form f*y**2 + o*y**3 + p + l*y**4 + c*y and give l.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:45 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*n - 165*n - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 860*k - 13464.\nAnswer: -4*(k - 198)*(k - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*w**5 + 61*w**4 - 2*w**3 - 280*w**2 - 12*w wrt w?\nAnswer: -840*w**2 + 1464*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000001000001101100 + -1011?\nAnswer: 11110000001000001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*f + 34 + 23, 4*d = -5*f + 92. Suppose 3*h = 5*z + f, 3*z = 5*h - 2*z - 40. Suppose n - 8 = h. What is the lowest common multiple of 4 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*h - 7. Let y = h - -4. Let n(k) = 4*k**2 + k + 1. Is n(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (63 - 54)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 12*k**3 + 14*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -12900 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -22448.788 to the nearest 100.\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 = -16*n - 282 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 4:25 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47975*p**2*v + 37*p**2 + p + v**3 - 373 wrt v?\nAnswer: 47975*p**2 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-3)\/(-100)*10635\/(-6381)*8\/1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/21 + 18\/81*201?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15374086 != 61496349\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-3 - 12 - -15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 u when three letters picked without replacement from jjqzjuw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 5*g - 5. Determine z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + l**2 - 4*l)*(-2 + 1 - 1) - 4*l**2 + 4*l**2 + l**2 + (-2 + 2 - 4*l)*(l - 2*l - 2*l) to the form t*l + z*l**2 + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.64 + 61. Let r = p - 0.36. Which is the second biggest value? (a) 0.5 (b) -1\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 773376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 183 = -3*f, -135 = -4*f - 3*m + 115. Which is smaller: f or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 - 60 = 2*x, 0 = -4*x - 20. What are the prime factors of (j\/4)\/(1\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m - 71. Let n = 28 - 15. Does 15 divide b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -189338 and -6.\nAnswer: 1136028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3360 and 139\/1421280?\nAnswer: 1421280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156 - 151. Solve 3*z + 3 = 3*k, -c*z = -z + k + 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40513*r**2 + 40492*r**2 + 40511*r**2 + 40522*r**2 - 162028*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497273 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -821 - -820.9236. Round t to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-24)\/(-14) + 115\/35. Suppose n = -3*l + 5081, 2*n = -l + c*n + 1691. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20327 = -4*w, 4*x - 3*x = w - 5075. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2da (base 14) to base 9.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2 + r + 3. Suppose -g + 16 = 3*g. Suppose -4 = g*p - 3*p. Let z = 4 + p. What is w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*i**2*x**2 + 3*g**2*x**2 - 517*g**2 + 872*g*i**2*x + g*i*x**2 wrt g?\nAnswer: -6*i**2*x**2 + 6*x**2 - 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 2*i**2 - 4*i + 2. Suppose 0 = -5*g + 2*b - 14, -3*g + 0*b - 2 = 2*b. Let l(m) = -14*m + m**2 - 15*m - 15*m + 43*m. Calculate g*l(p) + o(p).\nAnswer: 2*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/12 + z - 2. Let o(d) be the first derivative of h(d). Let t(v) = -5*v. Calculate o(t(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 19*x. Let i(k) = 2*k**2. What is n(i(d))?\nAnswer: -8*d**4 + 38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1449 - -0.0449. Which is the smallest value? (a) 1\/4 (b) -0.05 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 2*s - 1. Let g be h(2). Let r = 383 - 378. Solve -2*q + 3*m = 2*q, 0 = -r*q - g*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 8*v**2 + v + 2. Let q be u(-8). Let s(k) = 2*k**3 + 5*k - 11*k + 5*k**2 + 5 - k**3. Let z be s(q). Solve -z*a = -3*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94)\/(-10) - (-16 + (-770)\/(-50)). Solve v*m - 50 = 20*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 9. Let k(m) = 2*m - 4. Let r(i) = 9*k(i) - 4*l(i). Let w(o) = 7*o - 16*o + 7*o. Calculate -2*r(x) - 3*w(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.8 (b) 2 (c) -73 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 264.637, 3?\nAnswer: 264.637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**4 + 0*c**4 - 3*c**4 + (-3*c**3 - 2*c**3 - c**3)*(0 + 0 + c))*(-46*c + 21 - 21) - c**4 + c**5 + c**4.\nAnswer: 185*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.14 and 676271.\nAnswer: 676270.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26871 less than 9.5498?\nAnswer: 26880.5498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s + 24. Let j be v(-30). Let i = j + 429. Solve -i = -u - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/78 and -14 - -20 - 187\/14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 196*m**5 - 91*m**2 + 105*m - 91. Let l(t) = 13*t**5 - 6*t**2 + 7*t - 6. Let j(a) = -91*l(a) + 6*n(a). What is the second derivative of j(x) wrt x?\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 7*u - 8. Let k = -23 - -25. Suppose -3*p + 1 + k = 0. What is the lowest common multiple of p and o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/460 and -163\/60.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.35030594 rounded to one decimal place?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 2*w**2 + 3*w. Let b(h) = -14*h - 752. Let n(l) = 31*l + 1880. Let p(i) = -5*b(i) - 2*n(i). Determine r(p(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -619318, -619315, -619310, -619303, -619294, -619283?\n\"Answer: g**2 - 619319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*6.9988\nAnswer: -6.9988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0)**(-17\/3)\/(u*u**3)**(-11\/6) assuming u is positive.\nAnswer: u**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000291 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -14 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-5 - -2) - 20 - (0 + 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206556*d - 69720 wrt d.\nAnswer: -206556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*d - 39 = 0, 2*o + 4*d - 12 = 16. Solve -7*y + o = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 47*c**2. What is i(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**3 + 4*l**2 - 1. Is k(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42536?\nAnswer: 2, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by (-1)\/(-13) - 26950\/(-4550)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*((-10)\/(-7))\/(12\/14). Suppose -2*d = a*d. Solve -2*y = 2*h + 10, -y + d = -h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + (0 + -1 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -412\/3 + 2878\/21. Which is the nearest to 0? (a) 2 (b) 158 (c) -5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -9. Let c be (-12)\/(-2) - b*2. Suppose 5*s = c*w + 46, 2*s + 4*w + 34 = 5*s. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o - 5*o + 23*o = -52 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**3 + 16*t**3 - 31*t**3)*(-5 + 4 - 1).\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 4*r - 3)*(2 + 5 - 2) - r + r + 3*r)*(3*r + 3*r**2 - 3*r) to the form z*r + x + o*r**2 + c*r**3 and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h + 8*h)*(8 - 27 - 6) to the form i*h + c and give i.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7363 (base 8) to base 11.\nAnswer: 296a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018336 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 49. Suppose r = -4*i + 12, 2 = -i + 5*r + f. Suppose i*s = -d + 4*s + 71, 0 = -s - 4. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 16 = -4*p. Suppose p*q = 4*h - 8, -3*h - h = -20. Suppose -q*g + 6 = -5*g + j, 0 = g + 3*j - 4. Is g smaller than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Suppose -559 - 726 = -q*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 4*r - 5*k + 820, -4*r - 2*k = -660. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 15*m**4\/4 + 15*m + 4. Find the first derivative of n(f) wrt f.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -25*v + 45. Give o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 86*t - 85*t, -3 = 5*i - 4*t. Suppose 3 + 1 = -2*a. Let d = a - -6. Solve -d*g - 11 - i = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6535350 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.02. Let b = m + -0.22. What is the third smallest value in b, 4\/3, 0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137441328?\nAnswer: 2, 3, 17, 168433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 5. Is l bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 <= -2757\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 0*u - 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.72663 + -0.866354. Let r = 3.86 - 4. Let z = r - b. What is z rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 1621 = 147*f - 5704 - 2627 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Let m be 5\/(-11)*4\/(-10). Let x = 0.3 - 2.3. What is the nearest to x in m, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.325561+0.4\nAnswer: -0.925561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 485790961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a day in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001 + 12100112212222?\nAnswer: 12100112202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9511 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 787 - 778. Calculate the remainder when 300 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 2040?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(63)\/sqrt(7)) - sqrt(19)) + (sqrt(1216) + 1)**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1050*-3*(-5)\/(-15). Round w to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/10*(-1)\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2207814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283.493, 0.3, 3.\nAnswer: 0.3, 3, 283.493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0*z**2 - 3*z**2 + z + 2 + (0*z - 2*z + 4*z)*(z - 4*z + z) + 8*z**2 - z**2 - 2*z**2.\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205773 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: List the prime factors of 73876.\nAnswer: 2, 11, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/(g\/g**5)*g\/(g\/(g*g\/g**(-1)))*g*g**4 assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3\/11 (c) -6 (d) 0.3 (e) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.8282 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 + 125*p**4 - 230*p**3 - 10*p**2 + 235*p - 115 = 0. Calculate p.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15541405*i**3 - 3148*i - 1605 wrt i.\nAnswer: 93248430*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*5\/15*(-15)\/6. Let q = d + 1. What is the tens digit of q\/22 + (-332)\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q**3 - 28*q**2 - 725*q wrt q?\nAnswer: 60*q - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*r + 2*y = 803*r + 4, 0 = -4*r + 2*y - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6517008 a multiple of 1002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 846, 758, 670, 582, 494, 406?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - 4*(sqrt(7) - (0 + sqrt(7) + sqrt(7))) - ((1 + -1 + sqrt(7))**2 + sqrt(7))).\nAnswer: -7 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -13. Which is the second biggest value? (a) t (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 f when four letters picked without replacement from fffnn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.45 + -1.531. Let x = k + 0.138. Let z = x + -0.056951. Round z to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -881*r**3 + 4*r**2 - 4*r - 8. Let q(g) = -880*g**3 + 3*g**2 - 3*g - 6. Calculate 4*q(a) - 3*y(a).\nAnswer: -877*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.51383 to one dp.\nAnswer: 95.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52143.76 and -3.1.\nAnswer: 52140.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 377 + -377 - (8 + -2 - -3) - 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3370119 + -2266420. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/27 - 1\/(-3))*-3. Factor 2\/9*l**3 + 0*l**2 + 4\/9 - h*l.\nAnswer: 2*(l - 1)**2*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, 21, 3 in descending order.\nAnswer: 441, 21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*b**3 - 64*a*b**2*d**2 + a*b - 2*b**4*d**2 + 89*b**4 - 2*b**2*d + b*d**2 wrt b.\nAnswer: 6*a - 48*b*d**2 + 2136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 6*h - 3. Suppose -3*m = -12 - 0. Let c be s(m). Suppose -105 = -c*p + 2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*l - 2*l - 100, 3*l = 5*u - 110. What is the remainder when 83 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 4*i = 10, -4*k = -2*i - 2. Let x(c) = 101*c**2 + 1. Let a be x(k). Suppose 4*w - 2*w - a = 0. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n\/((n\/n**(1\/2))\/n*n)*n)**(-2\/55)*(n*n**3*n**(-2))**(-5\/4) assuming n is positive.\nAnswer: n**(-281\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 339 + ((-1872)\/(-13))\/(-9). What is the second biggest value in -4, 0.09, o?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7540736 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6*l = 3*p + 18, p = -23*l + 20*l - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7 (base 14) to base 11.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 2884 = 6*p. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12157.2 (b) -0.9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10302 (base 7) to base 16\nAnswer: 9f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 997112 a multiple of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(304)*-3)**2 - -3*(sqrt(304) + 1))*1 + 1 + (((sqrt(304) + sqrt(304)*-2)*6 - sqrt(304)) + -1)**2.\nAnswer: 68*sqrt(19) + 17637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 18*m + 4548. Let c(a) = 32*a. What is c(z(p))?\nAnswer: 576*p + 145536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 8c?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001001000101000100100 (base 2) in base 4?\nAnswer: -221020220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 82 = -5*u. Let t = -10 - u. What is the smallest common multiple of t and ((3 + -1)*-9)\/(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 425*h + 17769. Calculate x(-47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244*b + 632*b - 286*b)*(-5 + 5*b + 4 + 2).\nAnswer: 510*b**2 + 102*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*j**2 - j + 2 + 1\/4*j**3 = 0. Calculate j.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 872796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) -1 (c) 3 (d) -3 (e) 2 (f) -207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2582 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -44.00000019. What is f rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 521*x + 476*x - 1345*x - 1681*x - 1143*x to n*x + z and give n.\nAnswer: -3172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 611\/(-312)*3 - 6\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let f = -154487 - -154487. Which is the closest to f? (a) l (b) -4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:39 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3))**(-4\/7))**(-30\/7) assuming p is positive.\nAnswer: p**(80\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 14 + -27.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*y - 230 = -152*y + 314*y. Let x(j) be the first derivative of 0*j + 0*j**2 - y + 17\/3*j**3 + j**4. What is the third derivative of x(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 2*p. Let k(j) = -3*j**2 - 4*j. Let x(b) = 2*c(b) + k(b). Let n(v) = 15*v + 1. Give x(n(d)).\nAnswer: -225*d**2 - 30*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/4)\/y)\/y*y)\/y*y)**(-42)*(y\/(y**0\/y))**(-17) assuming y is positive.\nAnswer: y**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 2. Let v = w - 3. Let a be (-2)\/v + (-6)\/(-3). Solve 4*x = 4*g + 24, a*x - 4*x + 10 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.965. Let q = 5.2065 - -0.0585. Let b = q + h. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008303428 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/50329 and -16\/855593.\nAnswer: 855593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 3 + 3)*(-6*l - l + 2*l + (1 - 1 + l)*(-4 + 1 + 5) + 0 + 0 + l + (1 - 1 - 1)*(0*l - l + 3*l)).\nAnswer: -92*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 15*w**2 + 15*w - 1. Let a be t(14). Suppose 2*g + 3*r = -5, 4*g + a*r - 8*r + 7 = 0. Solve 0 = n - 4*x - 3, 2*n - g*x + 21 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -70*c**2 + 6462*c - 2021. Calculate m(92).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/462 and 119\/403062.\nAnswer: 2821434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -42 + ((-4)\/(-14) - 156\/(-42)). Let i = -164 - -75. Let u = l - i. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, z: 8, h: 1}. Give prob of picking 1 e, 1 h, and 2 z.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f + 12 = -3*h - 84*f, 33*h - 3*f + 18 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611978 is divided by 181.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 0, 5*w - 3*q - 44 = -q. Suppose -p + w = 2*p - 2*m, 4*m - 4 = 0. Suppose p = b + 2. Solve g - 6*l + 6 = -b*l, -2*l = -5*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 27*t**3 - 5. Let n(c) = 40*c**3 - 8. Let x = -7248 + 7253. Calculate x*n(p) - 8*g(p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.9 + 26. Round s to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**6 + 14513*d**5 + 22661*d**2?\nAnswer: 240*d**3 + 870780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 7*p**4 - 4*p**4)*(0 + 1 - 2*p - 3).\nAnswer: -4*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10039*o**3 + 3 - 3 + 10023*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 8. Suppose -192 + 126 = 6*a. What is o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4197*q - 402866. Determine a(-96).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a millennium?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -3\/5, -2\/9, 1, 63\/32, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/9 - 3119488*a\/9 + 2432801345536\/9.\nAnswer: (a - 1559744)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1698675193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*i**2 + i + 3*i**3 - 2 + 0 - 2*i**4 + 144*i**2 to o*i + q + x*i**4 + k*i**3 + j*i**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 880157 and 904.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35852769?\nAnswer: 3, 3983641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*j - 32 = -112*j. Sort j, -2\/7, 4\/17 in ascending order.\nAnswer: j, -2\/7, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 121 + 263 = -4*j, -366 = -4*o - 2*j. Let m = o - 51. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/53 in -0.028, -1\/2, 3?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-3*t + 3*t + t)*(-4*t**2 - t**2 + 3*t**2).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5 + (-5)\/25)*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29, -55, -137, -305, -589, -1019, -1625?\n\"Answer: -5*s**3 + 2*s**2 + 3*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -96. Let x be (-10)\/4*(0 + -2). List the prime factors of 738\/x - k\/35.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1035501470 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*n - 167 - 9, 3*j = 5*n - 440. Let p be -5*(-10)\/25*(3 - -2). Let w be 10 + 1 - (3 - p - -7). Calculate the greatest common divisor of w and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1709761?\nAnswer: 1709764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 83, -4, 9, -183, 5, 1 in decreasing order.\nAnswer: 83, 9, 5, 1, -4, -15, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 1 + 16 + -39 + (4 - -6) + 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/3 - 200*y**3\/21 - 8*y**2\/3 = 0. Calculate y.\nAnswer: -14, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -41. Let i = -5 + 16. What is the remainder when b is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-611) + (-15678)\/(-4888))*12?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 281, 7 in descending order.\nAnswer: 281, 7, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - -1.5. Let f(a) = a - 8. Let m be f(11). Suppose -4*d - 12 = 4*s, -m*s = -4*d + 1 + 1. Sort k, 0.4, s in increasing order.\nAnswer: s, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (0 + 1)) + 1. Let k(a) = 17*a**2 - 7*a - 17. Let t(i) = -8*i**2 + 3*i + 8. Let z(m) = -6*k(m) - 13*t(m). Let w be z(b). Solve w + 13 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 15*r**2 - 15*r + 11. Let s(a) = -4*a**2 + 4*a - 3. Determine 22*s(i) + 6*w(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*c + 117*c**2 + 462*c + 119*c**2 - 333*c**2 + 95*c**2 - 229*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*t - 0*f + 2028, 0 = 3*t + 5*f - 1204. What is the least common multiple of 204 and t?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 7*n + 26 - 131*n**3 - 24 + 4*n to the form y + c*n**2 + r*n + l*n**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9\/(-2) - (-341)\/(-62).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-494)*262 - (-1)\/13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**2\/2 - 42*o - 33. Let j be p(10). List the prime factors of -1*(1 + j) - 136\/34.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277 at least -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = -10*g + 379 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 2*x**3 - 2*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1264.3 - -177.9. What is v rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/4 + 328\/224. Let k = -0.15 + 0.2. Sort h, k, -0.1, -0.5 in decreasing order.\nAnswer: k, -0.1, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7707 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*z - 2*p, 3*z + 6 + 2 = 5*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 19*u - 6. Let l be x(10). Suppose -2*q - q - 36 = 0. Let j = q - l. Solve -2 = j*p - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1478 divide 18964218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-70)*(2 + 0). Let c = 44.8 - -4.2. Let x = c - 48.4. What is the nearest to x in 3\/4, m, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9609 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 204973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/(r**(-1\/3)\/r)*(r\/(r\/((r\/(r*r\/(r\/(r\/r**0))))\/r)))**(12\/7))**(8\/11) assuming r is positive.\nAnswer: r**(152\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.038 (b) -1\/6 (c) 1\/8 (d) 0.4 (e) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 1111 + 2564 - 508. Which is smaller: -89 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*3*sqrt(104)\/sqrt(2))\/(-3*sqrt(144))*3)**2 + 1.\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3733*l**3 + 1 + 1390*l**3 + 1359*l**3 as v + j*l**3 + u*l**2 + n*l and give j.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b27f5 (base 16) to base 8.\nAnswer: -2623765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-231)*31682\/219?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:02 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1731*h**5 - 10128*h**4 + 19224*h**3 - 14214*h**2 + 2613*h + 774 = 0.\nAnswer: -86\/577, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 9. Suppose -17 = -k + 2. What is the remainder when k is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3517734 and 4?\nAnswer: 7035468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 26*v**2 + 67*v - 46. Let y be i(-23). Factor 1\/3*f**2 - 1\/3*f + y.\nAnswer: f*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 14) + 1 - (-3 - -1) - (-148 - -69).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 + -194. Suppose 0 = -j - 0*j + 77. What is the remainder when j is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*k**3*m**2*t - k**3*m**2 - k**2*m**2*t - 2*k**2*m*t - k*m*t + 21*m**2 wrt k?\nAnswer: -204*m**2*t - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 4*w**2 - w**2)*(-17*w**2 - 8*w**2 - 5*w**2) + 4*w**4 - 2*w**4 - 3*w**4 + (-5*w**2 + 2*w**2 + w**2)*(-1 + 2*w**2 + 1) + 2*w**4 + 2*w**2 - 2*w**2.\nAnswer: -63*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paa when three letters picked without replacement from {a: 15, p: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1097784 and 220599?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1260)\/(-5250)*(-1)\/(-3))\/(-5*6\/(-50)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3084 - 1142 + 236. What is the smallest common multiple of 84 and d?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 1\/8 (c) -2\/5 (d) -0.78 (e) -741\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12675967\/757 + -16745. Put 3\/5, -3, q in decreasing order.\nAnswer: 3\/5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4543.887 - -4988.9073. Let l = 5 + 440. Let t = l - y. Round t to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/2 - 55*v\/2 + 150 = 0. Calculate v.\nAnswer: -60, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528183282 and 27390.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 3*j**4 + 7*j**3\/2 + 3*j**2 - 2*j - 26. List the prime factors of i(3).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 9*d**2 + 8*d + 15. What is n(6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 15700031?\nAnswer: -15700023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-158)\/(-8). Let q be 3\/(-2)*t\/105. Which is the closest to q? (a) -3 (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f + 345 - 169 - 194 to the form t + i*f and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2*t**2 + 4*t + 2. Let s be o(-2). Let x = 12 - s. Let b(q) = q**2 - 3*q**2 - 3*q**x. Let l(y) = y**2. Give b(l(d)).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 311*c**2 + 8*c - 8*c + 6824 - 6824. Let f(v) = 2*v. Determine f(h(q)).\nAnswer: 622*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(-1)\/d)\/d)**(8\/11))**39 assuming d is positive.\nAnswer: d**(-624\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18888*x - 188874. Give w(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15041023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 1, f: 1, j: 2}. Give prob of picking 1 j, 1 f, and 2 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414747 is divided by 59077?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 6004845.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -83. Let b = 37.3 + d. Round b to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 20*g - 79. Give p(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -921*i - 7588. Does 139 divide o(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007870588 to 7 dps.\nAnswer: 0.0000787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -551*s + 559*s. Suppose -2*x - s*x + y = -3478, -5*y - 4340 = -5*x. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -4, 0 in increasing order.\nAnswer: -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72293, -72278, -72263, -72248, -72233?\nAnswer: -72218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 274*n + 285*n - 559*n - 1886*n**4 - n**4 + 0*n**2 + 0*n**2 + (2 - n**4 - 2)*(1 - 3 + 0).\nAnswer: -1885*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.8175477 rounded to one dp?\nAnswer: 48.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 7. Let o be q(-3). Let j be o - 1\/(10\/(-4) - -3). Factor -9*i**2 + 2*i**2 - 5*i**2 + 4*i**3 + 4*i**j.\nAnswer: 4*i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.6 - -7.4. Let f = n + -21. Let h = -19 + f. Are h and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108 + -5 - 5) + (-880 - -882) - (-17 + 2).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22713051 rounded to five decimal places?\nAnswer: 0.22713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 14497 = 5743. Round w to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147108 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -1\/12*c**5 + 15\/4*c**3 + 0*c - 1\/96*c**6 - 5*c**2 + 0 + 5\/32*c**4. Let m(k) = 0. What is k?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -52, -71, -90, -109?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3698106 by 52086.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-12) - 4)*(-3)\/1. Let r = 14.68 + 0.32. Let f = 55 - 221\/4. Which is the nearest to 1\/4? (a) f (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0746 minus 677.8708333?\nAnswer: -677.9454333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2472 divide 17594158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 392658\/509 >= 770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1800*x**3 - 9*x**2 - 18*x. Let r(h) = h**2 + 2*h. Determine q(t) + 9*r(t).\nAnswer: -1800*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/39)\/(-3*2\/(-9)). Do -2 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4876 = 466. Suppose -c = -4*k - 2*p, k + 4*p = 151 - 11. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22\/(-99) - (-1379)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-15*c**2 - 153*c + 153*c) - 9*c**2 - 7*c**2 + 5*c**2.\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*x - 788. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {a: 1, t: 3, d: 2, w: 10}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x + 25. Let y(d) = -1. What is o(u) + 6*y(u)?\nAnswer: 11*u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) 0.4 (d) -190 (e) 1 (f) -0.0627\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 x when three letters picked without replacement from xcjnd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*f**3 - 170280*f*l - l + 1350347 wrt f.\nAnswer: 27*f**2 - 170280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4293 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.45 and -4.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*u**3 + 45*u.\nAnswer: 1032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 52*o**2 + 2*o + 1. Let w be r(-1). Find the second derivative of 35*n**2 - 37*n**2 - w*n**2 + 12*n wrt n.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12) - (-123)\/6 - (138 - 130)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*b - 331*b = c - 22, -2*b + 20 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/30)\/9)\/((-7)\/(1470\/119))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-36) - (-22)\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*n - 180*n - 226*n to the form j + t*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:49 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -312*a - 4057. Is p(-68) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2341 + 11430421?\nAnswer: 11433312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86 + 86 + 4*d**5 + 31*d**2 wrt d?\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31531 - -31545. Calculate the highest common divisor of g and 6335.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 2\/3, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -3 - (-60 - -2). Let w = a - -351. Is 41 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.748 + -372664.2?\nAnswer: -372653.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (1 + 1 - 1) - (69 - -38 - 115).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.642 rounded to 1 dp?\nAnswer: 135.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780566.\nAnswer: 2, 3, 19, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-36))\/(1\/(-36)). Let m = 20 + -5. Is o\/m - 236\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797630217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 - -0.15. Let b = i + -1.68. Let t = 0.05 + b. What is the biggest value in t, 2, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 397. List the prime factors of y.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 25*d + 3*v + 102, 30 = 2*d - 4*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-20))\/(714\/(-170) - -6) + 146\/(-840)?\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**3 + 186*b**2 - 72*b.\nAnswer: -3*b*(b - 12)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -7*u + 620. Suppose -j = -4, -5*k + 5*j + u = -57. What is the smallest common multiple of 35 and k?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11025\/2625)\/(8\/8*1\/35*1).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -685*f**3*j**3*w + 23*f**3*j**2 - f**2*j**3*w + f**2*j - 2*j**3 wrt w.\nAnswer: -685*f**3*j**3 - f**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52956.\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/(2\/12). Suppose 18 = 4*q + 6. Solve 0 = v - x - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2304 and 50419296.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**8\/420 + s**5\/60 - s**3\/6 - s. Let i(c) be the second derivative of z(c). Find the second derivative of i(q) wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -808 - -157. Let b = -642 - a. What is the nearest to -0.1 in 4\/5, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by -21 - 1464\/(-72) - (0 + 244\/(-6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -6\/971, -5.22?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 102, 3312.\nAnswer: -5, 102, 3312","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 45 = 0. Let o(t) = t + 8. Let g be o(0). Suppose g*f = 6*f + 50. Calculate the remainder when f is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -984, -266, -2, 23.\nAnswer: -984, -266, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 44*l**2 + 7*l - 100. Let z(f) = -39*f**2 - 6*f + 99. What is 6*i(s) + 7*z(s)?\nAnswer: -9*s**2 + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 20*j**2 + 2*j - 4. Let o = 31 + -28. Is u(o) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 431 + -392. Solve -29*b - 30 = -j*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900\/(-1040)*(-1 - 3\/(-5))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -299*z**6\/120 + 23*z**5\/15 + z**3\/2 + 6*z**2. What is the third derivative of y(d) wrt d?\nAnswer: -1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h\/h**12))\/(h**(-2)\/h*(h\/(h**5*h))\/h) assuming h is positive.\nAnswer: h**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.145kg in tonnes?\nAnswer: 0.377145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 1 - z**2 + 4*z - 4 - 3*z**2. Let a(s) be the second derivative of -6*s + 0 - 1\/4*s**4 + 1\/6*s**3 - s**2. Give -5*a(h) + 4*t(h).\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruwuururuuuuwmuumwrw. Give prob of picking 2 w and 1 r.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = -v. Let u = v + 20. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212.5 - 212. Which is the second smallest value? (a) s (b) -200 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4724, 1 in decreasing order.\nAnswer: 4, 1, -4724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3050961 millilitres in litres?\nAnswer: 0.0003050961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyky when four letters picked without replacement from kkykkyyyyyykyy?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 461*n**2 + 9*n**3 - 2*n**4 - 6*n - 924*n**2 + 465*n**2 + 5*n + 6 in the form m*n**3 + p*n + w*n**2 + z + o*n**4 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*i + 475, 3*z + 273 = 3*i - 0*z. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 4*v**2 - 6*v**2 + 6*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 214768978187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 10 = -5*k, -17*k + 21*k = -9*b - 41 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*c**2 + 4*c**5 - 21 - 17*c**3 + c**5 + 73*c**2 wrt c.\nAnswer: 300*c**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1579 - -40.1579. What is the third smallest value in -2\/11, 1\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (520\/150 - 3)*2\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-105)\/(-15) - 10 - (-6*3594)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5 = 5*u, n + n + 18 = -2*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/((d**(-2)\/d)\/d)*(d**(-3\/4)\/d)\/d**(-3) assuming d is positive.\nAnswer: d**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 2549515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5428750 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101288 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 5*x = 112 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 786754.5.\nAnswer: 236026.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 1237 + 167. Calculate the greatest common divisor of k and 1809.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -3*x - 120. What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.237051 rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 346079\nAnswer: -1730395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/(1\/(-2) - (-155)\/(-62)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -76. Suppose a = -4*h + 6*h - 486. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/126 + ((-16211)\/182)\/29?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232972062473.999998 - 232971814611. Let v = h - 247870. Let f = v + 7. What is f rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 28. Suppose s*c = 155 - 47. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 363078926.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*f - 28435, 5*f + 5*u - 28475 = 10*u. What is the least common multiple of f and 63?\nAnswer: 17073","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3*o - 13 = -2*q, -o = -5*q - 8. Let a be q*(1 - 1) + -1. Suppose -3 = -v, -3*k - 2*v + 3 = 6. Put a, 5, k in descending order.\nAnswer: 5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 699*d + 6 - d**3 + 3 - 14*d**2 - 712*d. Let l be i(-13). Suppose -l = z + 3*t, 5*t - 3 = 2*z - 29. Solve q + 16 = -3*c, -c - 4*q - 6 = z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 - 19072*u**2 - 267320*u - 764000 = 0. What is u?\nAnswer: -10, -4, 9550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*o - 68, -2*o + 23 + 8 = 3*b. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (-2 + (sqrt(847) + 1 + 1 - sqrt(847)))**2 + -5*2*sqrt(847)*6.\nAnswer: -660*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 + 40 + 13*j**2 - 48. Let p(l) = -l**2 + 1. What is -g(f) - 5*p(f)?\nAnswer: -f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 1 = 0, 0 = -1246*k + 1242*k + 5*c - 193 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let i be v(3). Suppose 4*z - 5*m + 13 = 0, 3*m - 3 = 3*z + 3. Let t(o) = -3*o - 7. Let l be t(-3). Put z, l, i in ascending order.\nAnswer: i, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1609? (a) 0.1 (b) 2\/23 (c) 0.3 (d) 2\/261 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 + 36*r**3 + 1327*r**2 - 43198*r + 16?\nAnswer: 20*r**3 + 216*r + 2654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**15*u*u**(2\/3)\/u*u*u**3*(u**(-1)*u**(2\/3))\/((u\/(u\/(u\/(u**(-6)\/u)*u)))\/(u\/u**(-6))) assuming u is positive.\nAnswer: u**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 3, g: 8, y: 3, i: 1, c: 1}. What is prob of picking 3 y?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14482 is divided by 354.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -201, 2, 3, -8, 196, -2, -6 in increasing order.\nAnswer: -201, -8, -6, -2, 2, 3, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and 0.11.\nAnswer: -4.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 75.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 53*c**4\/12 - 5*c**3\/2 + 21*c**2\/2 - 113*c. What are the prime factors of l(2)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8579564 hours in nanoseconds?\nAnswer: 3088643040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3 + 4744*m**2 - 226784*m - 472576 = 0.\nAnswer: -2, 52, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2)\/(-1 - 0). Suppose 3*j = 2*j + 7. Let o = j - 2. Sort o, r, 2 in ascending order.\nAnswer: r, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*w + 213*w - 12 = 3*n, 10 = 3*w - n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s, 6 = -2*o - 2*s - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131 + -0.0386?\nAnswer: -0.0517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/5 - 2294*f**4\/5 + 1374*f**3 - 6866*f**2\/5 + 2288*f\/5.\nAnswer: 2*f*(f - 1144)*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16750, 66978, 150690, 267886?\n\"Answer: 16742*i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (215\/(-35) - -5)*7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y**3 + 3 - 3)*(2*y - 2*y - 4*y) + 9*y**4 + 7*y**4 - 8*y**4 + 6*y**4 - 4*y**4 + 0*y**4)*(-2 + 3 + 2)*(4*y + y + y).\nAnswer: 324*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 41475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttsotqd. Give prob of sequence ots.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 386*m - 5191*m + 2504*m. Let j(t) = t. Calculate v(j(h)).\nAnswer: -2301*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2702951525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85953723 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 10:05 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s - 2*s + p, -2*p = -5*s + 3. Let w = 4 + -3. Let z be s + 1\/w*2. Solve 4*k - 2 = -z*g - 0, -10 = 4*g - k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189566 and 2392.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/23)\/w)\/w)**(-6\/13) assuming w is positive.\nAnswer: w**(264\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/27*(-3)\/2. Suppose 0 = n - 3*n + 2. Calculate the remainder when (-12)\/(-3) + -1 + p is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v**3 + 4*v**2 + 7*v + 3. Let p be w(-2). Let r = -91 - p. Suppose 0 = -4*x + 44 + r. Calculate the greatest common divisor of x and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 6*u**2 + 4*u**2 + u**2 + 13*u - 2 to b + g*u**2 + d*u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 544790 and 108958?\nAnswer: 544790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4804459 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/9 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38 - 0.08. Let s = -5 + 2. Let k be -1*1*(-1)\/3. Which is the nearest to k? (a) q (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 95\/76*24\/10. Which is the fourth biggest value? (a) 1\/4 (b) -1 (c) g (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 u when three letters picked without replacement from {h: 3, x: 1, u: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + k**3 - 2*k**3)*((2 + 1 - 1)*(1 - 1 + 2*k) + (-2 + 4 - 1)*(22*k + 2*k + 32*k) + (-k + 0*k + 2*k)*(4 - 3 + 1)).\nAnswer: -186*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10120 - 1?\nAnswer: 10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 19*p**3\/6 - 2*p. Let f(g) be the third derivative of 0*g**4 + 0*g + 0*g**3 + 1\/20*g**5 + 0 + 152*g**2. Determine f(m(i)).\nAnswer: 1083*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 11*n + 10. Calculate v(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**22*g*g*g*g**16 assuming g is positive.\nAnswer: g**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 2.6041. What is r rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5421 (base 7) to base 13.\nAnswer: -b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -7*s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 1 + 0*d + 3\/20*d**5 + 13*d**2 + 1\/120*d**6 + 4\/3*d**3 + 7\/24*d**4. What is c(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + 2\/6. Let r be ((-6)\/(-4))\/((-6)\/(-16)). Suppose -50 = -r*w + 2*o, 3*o + d*o = -4*w + 55. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/3*12\/8. Factor m**2 + 3*m**2 + 16*m - f*m.\nAnswer: 4*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/10*4\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/25)\/((-2)\/(-10)). Let w be -2 - ((-12)\/2 + n). Suppose w*v - 9 = -39. Let r(f) = -f**3 - 5*f**2 - f - 3. What is r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2191 = -9*j + 16*j. What are the prime factors of j?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15. Let a(y) be the third derivative of -1\/3*y**3 - 2*y**2 + 0*y**4 + j - 1\/30*y**5 + 0*y. Differentiate a(x) wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {g: 4, s: 1, t: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/32, 0.4, -1\/2?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -694 + 3?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8187, -7797, -7407, -7017?\nAnswer: -6627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60120 and 540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(6\/((-84)\/7)*2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/10850956 and -21\/68?\nAnswer: 184466252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -0.2 (c) -1\/3 (d) -32812\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m**5 - 196238*m**2*w - 20979942*m*w wrt m.\nAnswer: 160*m**3 - 392476*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/105 + (-4)\/(-6))*(11 + -18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1678 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/14 - 1080\/(-56)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8110*g = 7786*g + 1382952 for g.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 584247606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) 4 (c) -5 (d) -67 (e) 0.02 (f) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 83, 81, 51, -7, -93?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-25)\/50*64\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -578, -20, -2, 3 in descending order.\nAnswer: 3, 1, -2, -10, -20, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25794586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5421\/2 - -2711. What is the nearest to -0.1 in v, -0.5, 1\/3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 21. Suppose 0 = 6*d - 4*d + 3*a - m, -2*d + 3*a + 6 = 0. What is the highest common factor of 54 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1317 and 509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 1012121000?\nAnswer: 1012120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.11536 and 0.2.\nAnswer: -0.223072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25301400 is divided by 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.6 - -74.1. Put 0.5, n, 0.06, 3 in decreasing order.\nAnswer: 3, 0.5, 0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9\/(-3))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75267856 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - 2*h**3)*(2 - 1 + 0) + (-3 + h + 3)*(-64*h - 90 + 90)*(3 - 3 + 2*h).\nAnswer: -130*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 11*c**2 + 8*c + 12. Give j(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.8. Let j = 5 - 2. Let p = j + 0. Which is the third smallest value? (a) p (b) f (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c - 12 = -f, 4*c = 3*f - 27. Suppose 5*i + f*t = 75, 5*i - 5*t - 3 = 52. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.005 != 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4\/7 (b) -1\/10 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 1:48 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 0*c**4 + 0*c**4 + (-4*c**3 + 0*c**3 + 2*c**3)*(c - 2*c - 2*c) in the form o*c + x*c**2 + s*c**3 + l*c**4 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24247 and 446.\nAnswer: -23801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2063 divide 531552256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132)\/(-6) - 6\/((-6)\/(-3)). Let b = q + -12. Calculate the smallest common multiple of 1\/1 + (b - -7) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**3*u - 10*t**2*u**2 + 3*t*u**2 + 79*u**2 wrt t.\nAnswer: 24*t*u - 20*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2499, 5021, 7565, 10131, 12719, 15329?\n\"Answer: 11*y**2 + 2489*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76)*-2 - sqrt(76))\/sqrt(4))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)*25\/100.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064909758 to 7 dps.\nAnswer: -0.0006491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/3 + 171807*d**3 - 1030834*d**2\/3 - 687228*d + 4123352\/3 = 0. Calculate d.\nAnswer: -2, 2, 515419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 36 = 4*q, -2*f + 12 = -4*q + 40. Let n be (f\/16)\/(1\/((-18790749)\/1)). Suppose 18009251 = -4*o - n. Round o to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(1 + (-4)\/3). Suppose -4*j + 3*j - 5*l = 17, -2*j + 4*l + 22 = k. Suppose 5*i + 1121 = 3*y, -4*y - j*i + 1019 = -437. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:31 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 3*l + 3. Let q be g(3). Suppose -1 + q = m. What is the units digit of (7\/(21\/30))\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48915570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 126 = -3*s, 4*s - 18 = 5*r - 246. Let x be r\/(-16)*-4 + 2. Let u = 17 - x. Solve 7 = -2*y + 5*l, -2*y - 3*y + u*l = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {s: 1, i: 6, w: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -34. Let p = 1.00000011 - k. What is p rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*t - 129*t + 26 = -a, -a = 2*t - 16 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, 66, 69, 72, 75, 78?\n\"Answer: 3*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 42 = -16*k, 2*k - 2*z - 3262 = -3268 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 507*i**3 + 5 - 1 - 505*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 + 1521*n - 1 - 3)*(0*n - 2*n + 0*n) to p*n**2 + z*n + a and give p.\nAnswer: -3042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucq. Give prob of picking 3 u and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let l = u + 1. Let n = 147 + -147.5. Sort n, l, 5 in ascending order.\nAnswer: n, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 21) + (7 - -2) - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*b - 4*p, -5*p + 25 = 2*b - 2. Suppose b = 2*i - 3. Calculate the least common multiple of 16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14121, 15389, 16641, 17877, 19097, 20301, 21489?\n\"Answer: -8*l**2 + 1292*l + 12837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 856.9626 years?\nAnswer: 10283.5512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5071808 divided by 11321\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -549*w + 16473. Calculate g(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**3 - 61125*m**5 + 3*m - m + 61307*m**5 wrt m?\nAnswer: 3640*m**3 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 9*h - 6*h)*(-71*h**2 - 85*h**2 + 111*h**2).\nAnswer: 495*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*(36\/(-10))\/(-3). What is the remainder when 2\/(-2*2\/t) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215848.\nAnswer: 2, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 310 - 167. Suppose 141 - s = h. What are the prime factors of 6\/16*h + 647\/4?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921*n + 924*n + 916*n - 2762*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*a + d + 242 = 4*d, 0 = -20*a + 13*a + 4*d - 351 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, -1, 69\/131, -136?\nAnswer: 69\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u = 12*u - 96802047 + 25005933. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.83451l to millilitres.\nAnswer: 24834.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + 4ba?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 74088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q + 1. Let t(y) = y**3 + 8*y**2 - 4. Let a be t(-8). Let h be a\/5 + 78\/(-65). Let f be o(h). Solve 2*k = k - f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1168\/59? (a) 0.07 (b) 2\/5 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 - -197. Differentiate -97 - 313*o**2 + 578*o**u - 176*o**2 wrt o.\nAnswer: 178*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -x - 34 + 6 + 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77.36715 meters?\nAnswer: 7736.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(72) - -2*sqrt(72)*6))**2 + 3.\nAnswer: 438051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 + 4*t + 4. Let y be i(-4). Let l(n) = 7*n**2 + 4*n + 6. Let m = -982 + 985. Let s(x) = -6*x**2 - 3*x - 5. Give m*l(j) + y*s(j).\nAnswer: -3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2668*o**3*z - 11*o**3 + 2*o**2*z - 101*o*z + o - 2*z + 2 wrt o?\nAnswer: 16008*o*z - 66*o + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -20. Let d = 4 + l. Let o = d - -15. Calculate the greatest common factor of 50 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-33) + (-24)\/(-11). Let q be ((-21)\/1)\/(l\/(-6)). What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*21\/8*(-3)\/(-21)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*f + 3*a - 4, -8 = 2*f - a. What is the units digit of 4 - (f - -2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21942 is divided by 85.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 145, -168 in ascending order.\nAnswer: -168, -3, 4, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 5*d\/4 + 63\/2.\nAnswer: -(d - 14)*(d + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -12. Suppose 0 + 0 = h*w. Suppose -u + w*u = -2. Solve -o + 3*o = u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 341128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1263.47226 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = 5*s, n + 1 - 4 = -4*s. Let c = 1 - s. Suppose -3*k + r = -11, -2*r - r - 17 = -k. Is c <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 17318, 1 in descending order.\nAnswer: 17318, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(432) + (0 + sqrt(432) - sqrt(432)) + -2 + 3))**2.\nAnswer: 384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7935 greater than -3\/770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b - 5. Let k = -974 - -969. What is t(k)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*l - 4*a + 13, 5*l - 4*a + 23 = 0. Let x(k) = -k. Let z be x(l). Let y be (z - -5)*(-1525)\/(-2). What is y rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 3:28 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 822059 + -4?\nAnswer: 822055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l**2 + 1\/3*l**3 + 5*l + 4. Differentiate g(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1348763 millilitres in litres?\nAnswer: 0.0001348763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(684) - sqrt(684)*2) + -4 - sqrt(684)) + (-1 + sqrt(684) - (-2 + sqrt(19) + sqrt(76)\/sqrt(4))) + -1.\nAnswer: -44*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 499 + -71. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-26))\/((-28)\/1092).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*k**2 + 0 + 0 + 81*k**2 - 170*k**2.\nAnswer: 85*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cppppxccpcxcppoxc. What is prob of picking 2 p and 1 x?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u + 0*u)*(u + 0*u - 2*u) + 2*u**2 - 9*u + 9*u + (-u + 0 + 0)*(2 - 2*u - 2).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 19*o + 4. Let s be c(13). Let x be (-1)\/((-3)\/(s - -4)). Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 < 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -53. Let c = 3.99887 - z. What is c rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose p*g + 5 = -3. What is the second smallest value in -1\/4, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16547 + 661 = 956*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 + 93166*x - 3445773 = 0. Calculate x.\nAnswer: 37, 93129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 55*l**2 + 53*l - 52. Let o be b(-54). Let r(f) be the first derivative of 27 + 25*f - 3\/2*f**o. What is the first derivative of r(v) wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2*4)**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*v**3 + 11*b + 2*v**4 + 4*v - 2 wrt v.\nAnswer: -12*b*v**2 + 8*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-9)\/165*(-40)\/(-12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 843919073 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 61?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133425 divided by 593.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2400 - c?\nAnswer: -240c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 = 2700\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6420*j**3*n - 2*j**2*n + 17*j**2 + j + 32*n wrt j?\nAnswer: -38520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = p - 0*p - 20*b + 25*b + 34, -3*b = 76*p - 991 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g + 22. Do g and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -402, -407, -416, -429, -446?\n\"Answer: -2*q**2 + q - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81030 = 28*h - 33*h - 5*m, 0 = -h - 5*m + 16214. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 14. Let u be f(-11). Let k be -2*u*5\/(-30). Is (41 - 0\/k)\/1 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 16. Let s = j + 7. Which is greater: s or -2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 27. Let f = q + 17. Which is the smallest value? (a) 6 (b) f (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2080456, 4160868, 6241280, 8321692, 10402104?\nAnswer: 12482516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903 and 420841.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*o - 36952 = 0, -3*a = -o - 19134 - 3036. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1562503, 1562504, 1562505?\nAnswer: 1562506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0991 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -4333 and -82299\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135482747.\nAnswer: 135482747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 109. Let m be p\/(-60) + (-2)\/(-3). Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 10 - d**2 - 1 - 2 + 3*d. Is k(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266654 rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4)*-1*5*(-16)\/(-100)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 131, 63, -5?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 - (-1 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38586285*i**2*m**2 - i**2*m - 2*i**2 - 4150*i*m**2 + 10*i*m + 89 wrt i.\nAnswer: 77172570*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2711\/2 - -1327. What is the common denominator of g and 59\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-6)\/(-3) - 0\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 27*s**3 - 178*s**3 + 15 + 1.\nAnswer: -205*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhfcqttffqcfctchtc. What is prob of sequence qqcq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2749939, 5499874, 8249809, 10999744, 13749679, 16499614?\nAnswer: 19249549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -23*u + 60. Suppose 3*s = u, k + s - 1 = 4. Suppose 3*m + 4*j - 6 = 0, -9 - k = -5*m - 2*j. Solve x + 3*c = 3*x - 7, -6 = 4*x - m*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:27 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -324 + 60?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h = -p + 24, 0 = 5*h + 3*p - 32. Suppose 0 = -5*w - h*n - 12, 5*w + n - 9 = 4*n. Is -6\/7 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/3 - 1329*p**4 - 3985*p**3 - 11953*p**2\/3 - 1328*p.\nAnswer: -p*(p + 1)**3*(p + 3984)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 2*g**2 + 4*g - 3. Let k be x(2). Suppose k - 1 = 2*t. Solve 0 = -4*r + 2*i + 2*i + 16, 0 = t*r - 4*i - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**2. Let l(t) = 3*t - 4. Let c(f) = -7*f + 10. Let r(d) = -2*c(d) - 5*l(d). Calculate r(a(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 11:07 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 22 = -2*p, -4 = -2*j + j. Let h(a) = -a**3 - 2*a**2 - 6*a. What is the units digit of h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3\/8, -5, 0.02?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -5, -2 in descending order.\nAnswer: 169, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -3*16\/12. Let m(z) = z - 4. Let r be m(7). Calculate the greatest common divisor of p and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/58*-113 - 4. Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 34*b**3 + 4*b**2 + 2*b + 7. Let z be j(-3). Let k = 1327 + z. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/30 - 7*b**4\/8 + b**3\/2 - 5*b**2. Let t be c(-11). Let j be (t\/12)\/((-3)\/288). Round j to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Suppose k = -5*f + 65, -h*k + 62 - 18 = 2*f. Find the third derivative of -1317*g**3 + 1317*g**3 + f*g**2 + 12*g**5 wrt g.\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -295, -1178, -2939, -5866?\n\"Answer: -48*g**3 - 7*g**2 + 64*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810400 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103.44 + 94.451. Let g = a - 0.011. Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqwg when four letters picked without replacement from qlgwqlqqwqgg?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -12. Suppose 0 = -3*l + m*z - 2*z + 7, 2*l - 6 = z. Let f = 0.11 - 4.11. Which is the second smallest value? (a) f (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u**2 - 1. Suppose 0 = -5*m - 4*j + 157, -m + 18 = j - 14. Calculate the remainder when m is divided by x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooohommupmjpmhmjh. Give prob of sequence mu.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-144)\/(-32)*(-8)\/(-3). Let s(l) = l**3 - 12*l**2 + 3*l - 32. Let u be s(r). Solve b = -u, -4*b + 3 = 3*f + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1196\/494*(-38)\/(-8))\/((-4)\/8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 35990.26 nanometers?\nAnswer: 0.00000003599026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9 + 9 + 2*g**2 - g + 4. Let t be (-1 + 3)\/(2\/(-4)). Does 12 divide f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 6*c + 2*c + (0 - 3 - 1)*(-3*c + 2*c + 5*c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085997.9 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.3, 0.5, 4.3, 8819 in decreasing order.\nAnswer: 8819, 4.3, 0.5, -15.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(12)\/sqrt(4) + (-6*(sqrt(3) - (sqrt(3) + 0)))**2 - sqrt(6)\/(sqrt(2) - (sqrt(2) + 3*sqrt(128))).\nAnswer: 145*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**3*t**4 + q**3*t - 4*q**3 - 4*q*t + 362*q - 13121598*t**4 - t + 1193 wrt t?\nAnswer: -72*q**3*t**2 - 157459176*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/24 - 16*2\/60?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 107?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -9*i**5 - 295*i**4 + 426*i**3 + 1756*i**2 - 408*i = 0.\nAnswer: -34, -2, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/5 - 16*k**3\/15 - 2*k**2 - 8*k\/5 - 12. Suppose z(y) = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 k when three letters picked without replacement from {z: 4, g: 8, k: 2, b: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 6) + 1 - 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let r(i) = 27*i**2 + 12. Let g(v) = 2 - 2 + 3 + 7*v**2. Let p(d) = f*r(d) + 15*g(d). Find the first derivative of p(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*c - 87, 23*c = 21*c + 5*q + 63. Suppose 2 - 6 = 2*z. Let h(w) = -46*w + 2. What is the remainder when h(z) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48717 is divided by 560.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) - (-5 + -1 + sqrt(500)) - sqrt(25)\/(4*sqrt(5)*2 + sqrt(5) + sqrt(5)).\nAnswer: -sqrt(5)\/10 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 179052, 179047, 179028, 178989, 178924, 178827?\n\"Answer: -l**3 - l**2 + 5*l + 179049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 423 - -60. Is 69 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:36 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/134 and -107\/6.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/42 + 11\/(-14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**7\/1260 - j**4\/3 + 3*j. Let y(v) be the third derivative of p(v). Suppose o + o = w - 1, 3*o = 0. Give y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**2 - 53*a**2 + 16*a**2 + 22*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1131\/1565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181493*k**3 + 286691*k**3 - 2*k**2 - 468182*k**3 + 2*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13914.\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*r**3 + 107 - 20*r**3 - 18*r**3 to the form k*r + o*r**2 + u*r**3 + n and give n.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 5. Let h(z) = -2. Let p(f) = 5*h(f) + 2*t(f). Let d(v) be the first derivative of -4 + 18*v**3 - 19*v**3 + 10. Give p(d(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 14*d**2 + 17*d - 10. Let o be u(15). Suppose -q = -5*g - o, -3*q + g + 60 = -g. Calculate the least common multiple of 12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 2*s**2 + 272 - 271 + s)*(-7 + 0 + 1) in the form i*s**2 + w + j*s and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1422 and -6 + ((-2139)\/(-22))\/31 - 1*-1.\nAnswer: 15642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/12343960 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 4:45 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6338613551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 48*x - 49*x. Suppose -84*n + x = -83*n. Which is the biggest value? (a) n (b) -0.3 (c) 3\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2\/(-14) + 65802\/7. What is n rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -481 + 481 + z. Let q(s) = 16*s - 33*s + 17*s + 7*s**2. Calculate h(q(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - o - 2*o = -163, 0 = -3*m + o - 449. Let r be ((-37)\/m)\/(1\/4). Which is bigger: 1\/297 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66225400 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 26 = -58 - 4 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*c + 12*c**2 - 10*c**2 + 0*c + c**3 to the form o*c + v*c**2 + n*c**3 + z and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59463 and 128882749?\nAnswer: 6607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121275790 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c864 (base 16) to base 3.\nAnswer: -1002020120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhhj when four letters picked without replacement from jjjjhjjhjhjjhj.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25344 and 144.\nAnswer: 25344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let o(r) be the second derivative of 0 + 5\/6*r**3 + 0*r**2 - 2*r. Give k(o(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 902029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 87\/2 of a kilometer?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1826 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101212221010002 - 12?\nAnswer: -1101212221010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 6.0818585907?\nAnswer: -6.5818585907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 55*y - 38*y - 35 + y**3 - 4*y**2 + 3. What is the remainder when a(5) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 47. Let j be o(20). Let u = 169 + j. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 96795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 129.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 2*r**2 - 3*r**2)*(57*r - 27*r - 32*r + (r - r + 2*r)*(1 + 3 - 5) + 4 + 3*r - 4).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2597 - -3922. Let z = -1257.1 + f. Let s = z - 62. Round s to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 8*k**2 + 2*k. Suppose 0 = -31*q + 36*q + 215. Let v = q - -51. Give d(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.855 - 29.855. Let q = 2.2 + -2. Let u = 0.2 - q. Which is the nearest to u? (a) -0.2 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2 + l**2 + l - 6*l - l + 4*l. Let j be n(2). Let s = -3 + 7. Calculate the highest common divisor of s and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, l: 2, m: 2, d: 3, t: 3}. Give prob of picking 1 l and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n. Suppose 0*c - c = m - 8, n = -5*c - 20. Suppose 4*p = -4*v + m, -p - 2 = -0. Solve -v*k + 0*k + 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 11*j - 15. Let u be (1 - 3 - 7)*-5 + 0. Suppose -5*h - 3*r + u = -2*h, 0 = -3*r + 15. Give d(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.091269 to 2 dps.\nAnswer: -18.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 14*w**2 + 13*w + 22. What is the tens digit of n(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8774461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 447797808 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1032 + 1158. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 8*i - 14*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 15*w**2 + 63*w + 139. Is z(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -44. Let q be 2\/8 - ((-117)\/(-60))\/3. Sort 20, 0, j, q in increasing order.\nAnswer: j, q, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/17 - 26*s**3 + 5348*s**2\/17 + 12480*s\/17 = 0. Calculate s.\nAnswer: -2, 0, 15, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74423026 is divided by 6858?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 189\/(-216) + 2\/(-16). Let k be 3\/a + 12 - 7. Solve -b + 3*n = 0, -b - 1 = -4*n - k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/5 + 655164*t**3\/5 + 3275768*t**2\/5 - 655164*t\/5 - 655154 = 0.\nAnswer: -327577, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 - 4.185487207.\nAnswer: -35.185487207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 9*d**2 + d + 9. Let w = -2 - 5. Let t be z(w). Suppose 0*x = 5*x - t. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/4 + 2*u**3 - 2*u**2 - 3*u - 50. Suppose -d - 18 = 2*d. What is the units digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/22010 and 81\/3636052.\nAnswer: 18180260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 0*i**3 - 3*i**3 + 3*i**3 + 4 - 4 + (-3*i + 6*i + i)*(-i**2 - 2*i**2 + 5*i**2) - 6*i**3 + 6*i - 6*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 12*j - 9. Let i be p(-9). Let x be (-15)\/i + 4\/(-6). Which is the nearest to 0? (a) -2 (b) 2\/19 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47 - 30*d**2 - 44*d**2 - 7*d**2 wrt d.\nAnswer: -162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3598.349417 + 1557578451.349417. Let g = -1557574879.99999966 + f. Let d = 27 + g. Round d to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 s when three letters picked without replacement from {j: 9, b: 1, s: 7, z: 1}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 16*g - 193. Let x be l(12). Sort -47, 1, x, 4, 2.\nAnswer: -47, x, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.54 - -46.58. What is b rounded to 1 dp?\nAnswer: 61.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 3\/5 (c) 35 (d) 65 (e) -0.2 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14278 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a - 11*a + 7*a)*(-41*a**4 - 5 - 8*a**4 + 5).\nAnswer: 686*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 2*b**2 + 2*b**2)*(-29*b - 9*b**2 + 29*b) + (-6*b + 4*b + b**2 - b)*(-b**2 + 3*b**2 - b**2).\nAnswer: -26*b**4 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -1625, 1 in descending order.\nAnswer: 8, 2, 1, -1625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuyzsy. What is prob of picking 3 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 76 = -128. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 359 - 360. Sort l, -9, -4, -2 in increasing order.\nAnswer: -9, -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 3019 + 311. Let w = 196 + -486. Let f = b + w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r. Let f = -15 - r. Calculate the remainder when 6\/((f\/8)\/(-5)) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -16*b**3 - 956*b**2 - 1616*b + 464 = 0.\nAnswer: -58, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16*q = -80. Let i = 59563\/55 + -1083. Let d = -63\/220 - i. What is the closest to 15 in q, d, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.899 * 0.197\nAnswer: 1.556103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 g when three letters picked without replacement from {l: 1, d: 3, y: 1, b: 4, g: 1, j: 5}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 808416625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2960.779 weeks?\nAnswer: 1790679139200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2334.719 years to decades.\nAnswer: 233.4719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 852648, 852659, 852660, 852645, 852608?\n\"Answer: -u**3 + u**2 + 15*u + 852633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - -5) - -4 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/5))\/(h\/((h**(-3\/5)*h)\/h)*h))\/(h*h**(-1\/3)*h**7\/h*h))\/((h*(h**(-1\/4)\/h)\/h)**18)**(1\/6) assuming h is positive.\nAnswer: h**(-307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3889 - -0.2889. Put -3\/4, c, 32, 6 in descending order.\nAnswer: 32, 6, c, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 5*i + 11 + 3, z + 4*i = -18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/22 - 328*f**3\/33 + 6724*f**2\/11 + 8. Determine h so that a(h) = 0.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147900950 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 3*n**2 - n**3 + 3*n - 2*n + 2*n**3 - 7*n**3 - n**3 + (2*n + n - 5*n)*(-n**2 + 0*n**2 - 5*n**2).\nAnswer: 5*n**3 + 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77022 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:50 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/9569 - -258023\/1626730. Find the common denominator of b and 58\/45.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11 = -2*a, d - 4 + 5 = -a. Is 39 a factor of 73 + (-12)\/d + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.1. Let h = z + 1. Let w be 0 + -2 + 2 + 2. Put w, 0.3, h in ascending order.\nAnswer: 0.3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*a**2 + 50*a**2 - 33*a**2 - 1 - 1 + 1 + 2*a**2 + (-a**2 - 2*a + 2*a)*(-5 + 2 + 1) + 3 + 2*a**2 - 3 + 1 - 1 - 2*a**2.\nAnswer: -3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 650 and 291392790?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17280538.\nAnswer: 2, 11, 19, 41341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*w**2*z**3 - 2*w**2*z**2 - w*z**3 - 5*w*z - w wrt w?\nAnswer: -68*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t**3 + 10*t**2 + 0*t**2 + 10*t - 44*t**2 + 3*t**4 + 7*t**2 + 40*t = 0. What is t?\nAnswer: -1, 0, 2\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 12:55 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 366277, 1465105, 3296483, 5860411, 9156889, 13185917, 17947495?\n\"Answer: 366275*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 1397.2\nAnswer: -1536.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30001\/27 - -1111. Let n be 174\/261 - (-16)\/(-30). Sort 4, n, l in decreasing order.\nAnswer: 4, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5320 or -132984\/25?\nAnswer: -132984\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -132*x**5\/7 + 34590*x**4\/7 - 917946*x**3\/7 - 73272*x**2 + 345048*x - 1018944\/7 = 0.\nAnswer: -2, 6\/11, 1, 61\/2, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 24 - 11\/((-44)\/(-64))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1033 = -3*b, 3*b - 6*s + 9*s + 1065 = 0. Let i = 589 + b. Calculate the highest common factor of 34 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -799854 divided by 133309.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 + 3. Determine h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 2. Let r(j) = 361*j + 4. Calculate 4*d(m) + r(m).\nAnswer: 341*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-138)\/(-180). Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, -24, 209, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15296727617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 - 215 = -31*s + 20*s. What is the greatest common divisor of 549 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2095 - -0.209501211. Round b to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1000110010110?\nAnswer: -1000110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52576103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-1) + 6 + 490.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 7 + -14 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 34463.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.85 minus 20794033310?\nAnswer: -20794033331.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3094596 rounded to three decimal places?\nAnswer: -0.309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -104. Let g = h + 7. Let w(s) = -34 + 70 - 5*s**g - 36. Let b(l) = -2*l. Determine w(b(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Suppose 1 = -5*z - p. Let l(w) = -28*w. Is 14 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88926055 divided by 6.\nAnswer: 88926055\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913 divided by -1742.\nAnswer: -913\/1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 0.5, 2\/23, -23, -4\/3, -0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 375*y + 2 - 381*y.\nAnswer: -6*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose -f = 4*k, d*f + 4 = -k - 3*k. What is the first derivative of -13 + 29 + 1 + k - x wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 6*b**3 - 5*b**3 - 4*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -546157, -1092472, -1638787, -2185102, -2731417, -3277732?\n\"Answer: -546315*h + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifftlzftf. Give prob of sequence li.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.2318cm in millimeters?\nAnswer: 612.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 5) to base 7\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 967926722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -5, 2, -2, 4\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**5\/20 + 9*y. Let d = 7 - 3. Let s(o) be the third derivative of o**6\/120 - o**2. Give d*s(q) - 3*v(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.3 + 9. What is the nearest to -1 in 0.2, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oouoooouuoo.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n**2*n)\/n))**(1\/20) assuming n is positive.\nAnswer: n**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*z = -25088, 5*y - 4*z - 22408 = 8961. List the prime factors of y.\nAnswer: 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8889*i**2 - 2949*i**2 - 2930*i**2 - 2979*i**2.\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*o**3*q**2 - o**3*q + 399*o**3 + 2*q**3 wrt q?\nAnswer: -32*o**3*q - o**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -7 (c) 21\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8\/9 (b) -1\/4 (c) 2\/5 (d) 14266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3 - 9*n**2 + 5*n - 3*n**2 + 14*n**2 - 2*n - n**3. Let o(y) = 2*y. Let b be o(1). Calculate s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001055476 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 5:54 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1702, -3210, -4718, -6226, -7734?\nAnswer: -9242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**2 + 3*t - 2. Let q(m) = -m**3 - 14*m**2 - 14*m - 16. Let v be q(-13). Let i = -1 - v. What is the tens digit of n(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -35, -5, 25, 3\/16, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 22. Is 14\/(-8)*-2*u a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -0.04 (c) -0.06 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.0763 + -0.984. Round l to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28832, -28831, -28830, -28829?\n\"Answer: z - 28833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1634 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9835 + 4881 - 583*d + 4954.\nAnswer: -583*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2209\/3, 0, 1\/112 in decreasing order.\nAnswer: 1\/112, 0, -2209\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6566 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -6*z + 41. Let g be 164\/9 + z\/(-72). What is the greatest common divisor of 234 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/120 - 101*r**5\/60 + 2867*r**4\/24 - 15463*r**3\/6 - 8286*r**2. Find o such that s(o) = 0.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -60 + -5 + 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54245.\nAnswer: 5, 19, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -7583, 0.4, 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**3 - 9*h**2 + 4*h - 5. Let o(l) = -l**2 - 6*l**3 + 92 - 189 + 91 + 6*l - 9*l**2. Let i(q) = -5*d(q) + 6*o(q). Determine i(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-8 - -4) + (2 + -8 - -51) + 14?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2137*n**3 - 12583*n**3 - 460*n**3.\nAnswer: -10906*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q - 26. Let x(o) = o. Let t(p) = c(p) - 12*x(p). Let r be t(15). Suppose 0*d - r*d + 260 = 0. List the prime factors of d.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -493*c**2. Let w(o) = -31781*o + 2. Determine w(d(s)).\nAnswer: 15668033*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-297))\/((-4)\/(-18)*3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b + 1. Let w(j) = 6*j + 2. Let u(q) = 5*s(q) - 4*w(q). Give u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 56\/57 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 1:59 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(6\/(-45)). Let g = 25 - 31. Sort g, -1, s.\nAnswer: g, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 3. Suppose 2*d + s - 18 = -g*s, -45 = -2*d + 5*s. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (1 + 2 + -2)) + (-919 - -933).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6*r + 7. Let f be u(7). Factor -l + f*l + 2*l**3 - 2*l**5 + l.\nAnswer: -2*l**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145*a**2*b*g**3 - 391*a**2*b*g**2 - a*b*g**2 + 80*a*b*g + 2*a*g**3 - 2*a*g**2 - 42*b wrt a?\nAnswer: 290*b*g**3 - 782*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*o + 3*v + 15 = 95*o, -2*o + 3 = -5*v for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 5694801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334669923?\nAnswer: 3, 7, 5312221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -5 + 0*a**3 - 4*a + 0*a**2 - 5\/4*a**4. Differentiate q(l) wrt l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + -96. What is the least common multiple of x and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (0 - -1))\/(-3). Suppose g - 5 = 0, -j + g = 3 - r. Find the second derivative of j*k**2 - 2*k**2 + k - 2*k**2 wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*f + 7 = 0, 0 = 4*s + 3*f - 7*f + 4. What is the closest to -1 in 7, -50, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p + 1\/3*p**6 + 2\/15*p**3 - 26\/25*p**5 + 9\/10*p**4 - 1 - 2\/5*p**2. Factor l(a).\nAnswer: 2*a*(a - 1)**3*(5*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -67\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*n - 4, -6*n = -2*i - 1 - 55. Solve 0 = -n*s - 60 + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 1 f when three letters picked without replacement from lofkkkodk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1510, 12825, 43574, 103471, 202230, 349565, 555190?\nAnswer: 828819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -2*l. Suppose -h = h - l. Let g be 20\/140 + 48\/(-42). Put g, 0, h in increasing order.\nAnswer: g, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -377.03 + 254.36. Let z = g - -121. Let u = 2.2 + z. What is u rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = -o. Let c(q) = -q**3 - 6*q**2 - 8*q - 5. Let y be c(o). Let r = 5 - y. Let k(p) = p**3 + 4*p**2 - 3*p + 4. Determine k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 - (-26)\/6)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/13600754 and 109\/5406.\nAnswer: 693638454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2317 - 0.04042049098?\nAnswer: -2317.04042049098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1299, -2593, -3887, -5181, -6475, -7769?\nAnswer: -9063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 5\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/2520 + 7*f**4\/6 + 61*f**2. Let w(q) be the second derivative of g(q). Let b(v) = -24*v**2. Determine b(w(m)).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3283573 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265430 is divided by 2073?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:46 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 100. Let d be v(20). Suppose -5*b + 5*t + 40 = d, -6*b - 48 = -10*b - 4*t. Solve 0 = -5*g - 10 - b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -29. Let t = -16 + x. Suppose g = -m + 122, g + g = -t*m + 480. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15680)\/(-448))\/(42\/(-48))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 78 (b) 0 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 9) in base 14?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n - 21. Let y be m(-6). Suppose -2*q - 27 = -5*q. Suppose -w + y*o + q = 0, -4*w + 0 - 32 = 5*o. Which is the closest to 2? (a) w (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536492.\nAnswer: 2, 3, 19, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 17*x + 14. Let u(s) = 5*s + 5. Let p(q) = 2*l(q) - 7*u(q). Give p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 102690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 2*o**2 - 2*o + 2. Let f(p) = -10*p**3 + 7*p**2 - 7*p + 7. Calculate 4*f(c) - 14*w(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 5*n - 19. Give o(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/48 + (0 + 1)*0. Is 13 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311331 + 12031?\nAnswer: 330022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 35*f**3 + 217. Let q(l) = -l**2. Calculate o(q(j)).\nAnswer: 105*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(1\/11)*l)\/l*l)**(-4)*(l**14*l)**29 assuming l is positive.\nAnswer: l**(4649\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -94*c**3 + 4*c + 21. Let p(w) = 189*w**3 - 9*w - 47. What is 4*p(k) + 9*u(k)?\nAnswer: -90*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {f: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 123384*p - 246772*p + 123389*p + 38*p**3 + (-8*p**3 + 3*p**3 + 3*p**3)*(4 + 1 - 3) + p**3 + 2*p**3 - p**3.\nAnswer: 36*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (320\/45)\/(-16)*27?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295946.\nAnswer: 2, 7, 21139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 65441358137 and -30.\nAnswer: 65441358107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 1)\/((-14)\/(-105)). Suppose -5*j + p - g = 0, 5*p - 4*p = -4*j - 15. Let m be 2 - (-2)\/((-20)\/18). Put m, j, -4 in descending order.\nAnswer: m, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9*q + 3*p + 67202 = 0, 0 = -3*q - p + 40324. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -44*n**2 - 48*n - 169 + 75 + 76 - 2*n**4 - 16*n**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + u + 1962 = 0. Let k be (0 + u)*((-64)\/(-12))\/8. Let h = k - -547. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(10\/12). Suppose 3*d + 2*d + 68 = 2*g, -2*g + 60 = -3*d. Let p be (4 + g\/(-9))\/(-2). Sort -2\/23, z, p in increasing order.\nAnswer: p, -2\/23, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301855791 to the power of 1\/3, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11+-0.550404126\nAnswer: 10.449595874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 37, 2, 14 in decreasing order.\nAnswer: 37, 14, 2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 36. Let u = d + 30. What are the prime factors of (u\/13)\/(1\/29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyytytytyy. Give prob of picking 1 t and 1 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 179520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 13. Calculate the lowest common multiple of 10 and 4 - (-2 - l)*-1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -430682, -861366, -1292050?\n\"Answer: -430684*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6053*u + 426 = 6093*u - 974 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2587 + -2552. Solve -b*f + 31*f - 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6808 - -6807.5. Which is the fourth smallest value? (a) -21\/8 (b) -4 (c) 0.5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 273.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768207 is divided by 256064.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012120 + 1102221?\nAnswer: 2122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 94, -4, -3 in decreasing order.\nAnswer: 94, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 + 6*1191\/(-30). Let x = p - -237. What is the closest to -2\/5 in x, -5, -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2212\/9 + 246. Sort 0.2, l, 5 in ascending order.\nAnswer: 0.2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2988)\/126 - 8)*-105 is divided by 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -r, 3*r + 227 = 44*i + 57 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 11. Let p(l) = l**2 - 7. Let w be p(0). Let q be z(w). Which is the biggest value? (a) 0.2 (b) 2\/9 (c) -1\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -2638?\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -13*n**8\/16 + 317*n**5\/60 + 281*n**2. Find the third derivative of d(c) wrt c.\nAnswer: -16380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4672*o**2 - 86*o - 6 wrt o.\nAnswer: -9344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Let q = t + -3. Suppose -q*r = -10 + 6. Solve -3*g + 6 = 3*h, r*h - 12 = 4*g - 2*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -417, -835, -1253, -1671, -2089, -2507?\n\"Answer: -418*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from affamhmfeffhafffmamk?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21932 take away 196.587?\nAnswer: 21735.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10005, -17757, -25507, -33255, -41001, -48745, -56487?\nAnswer: -64227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + 85*w + 433. Give q(-5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -203.156.\nAnswer: -201.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*g + 176*g = -1150 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 2*u - 1. Let h = -12 - -7. Let t(m) = 4*m**2 + 5*m + 2. Let j = 1638 - 1640. Determine h*s(z) + j*t(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00104683484 to 7 dps.\nAnswer: 0.0010468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*r + 48. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/24 + 5*u**3\/6 - 4*u**2. Let v be q(0). Solve v*c - 10 = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 31 (c) -4 (d) 0.2 (e) 77 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 63 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -229*x**7\/42 - x**5\/20 + x**4\/4 + 20*x**3\/3 - 913*x. Find the third derivative of f(u) wrt u.\nAnswer: -13740*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 1. Suppose -8 = -14*x + 62. Let n(t) = 16*t - 13. Let p(d) = 7*d - 6. Let q(h) = -4*n(h) + 10*p(h). Give x*i(o) + q(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1 = 3*a - 2*b, 5 = -b. Suppose r = 16 - a. Suppose -r = -2*i + 19. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 143572 = 143577 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 16*p + 5. Let y(s) = s**2 + s - 1. Let q(b) = x(b) + 3*y(b). Does 15 divide q(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i**3 - 3*i**2 - 4*i + 1. Suppose 0 = -p - 5*z - 21, -4*p + 8*p - 16 = 5*z. What is the smallest common multiple of 6 and m(p)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-24)*(25\/(-12))\/25*-3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117))*6 - (4*sqrt(143)*2)\/sqrt(11).\nAnswer: 6 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2606 - -2616. Solve -d = -k + 2*j, 2*k + j + 5 = -0*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = -10. What is the common denominator of ((-2)\/f)\/(-2) - (-805)\/(-1104) and -65\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 282 and 0.6?\nAnswer: 169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3509 and 59807.\nAnswer: 19078433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2586.3 + 2586.42879. Let v = q + -0.122. Round v to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -301?\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2 - 27*a - 137?\nAnswer: 4*a - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -732559\/4 + 185468. Let j = 2317 - f. Calculate the common denominator of j and 2\/8 + (-214)\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*x = 247*x + 703 - 5318 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (-1 + -2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - -7) - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 142 - 10 - (-3 - 1\/(3\/(-15))). Calculate the highest common factor of s and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2058 divided by 6?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 400\nAnswer: -11\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 3936*n**2 - 4521216*n\/5 + 255295488\/5.\nAnswer: 3*(n - 112)**2*(n + 6784)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495999082 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u - 21*u**2 - 23*u + 11*u as p*u**2 + a*u + j and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(2\/(-1))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9074700 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 - 64*m + 47. Let f(a) = a**2 + 8*a. Let n(r) = -5*f(r) - h(r). Let b = 39 + -65. Let k be n(b). Solve 3*g = 4 + k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 - 716*n**4\/5 - 14032*n**3\/5 - 43232*n**2\/5 - 26656*n\/5 + 18496\/5 = 0. Calculate n.\nAnswer: -34, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1453483521 and -344.\nAnswer: -1453483865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 39048 = 39588 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 60*h - 3. Let t be ((-2)\/4)\/(9\/(-18)). Let w be i(t). Suppose 0 = 9*s - 303 - w. Calculate the lowest common multiple of s and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-15)*(-1)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - (4 + sqrt(432))) + -2 - sqrt(432)) + 5 - (2*sqrt(432)*-1 - -2*sqrt(432)*5))**2.\nAnswer: 216*sqrt(3) + 34993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37102 and 416?\nAnswer: 593632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 24*l + 37. Let b(r) = -49*r + 1803. Let z be b(37). Determine g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 20. Suppose u*k = 8*k - 120. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 87, 5, -3 in descending order.\nAnswer: 87, 5, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1, 0.06, -3\/256?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76869\/32 - -2401. Calculate the common denominator of u and (4\/(-40))\/(4\/(-145)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 + 63784820*m - 203425163121620 = 0. What is m?\nAnswer: 6378482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is the hundreds digit of 851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 + 3 + 0 - 202*r**3.\nAnswer: -195*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -318 * -0.05327.\nAnswer: 16.93986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102615 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*l = 163*l + 180 + 192 - 141 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 13 = 5*u, -2*s + 10 = 2*u. Solve -4*o - u*c = 6, 0 = -4*o - 6*c + 3*c - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*-6*(-1 + sqrt(425) + -4) + 3.\nAnswer: -150*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = 4. Let z = -15 - r. Let a(f) = -f + 5. Does 13 divide a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1910800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-55)\/(-22)*8\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 + r + 18. Let o be d(-6). Let u = 246 - o. Is u at most as big as -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 12*j**3 + 14*j**3 + 13 - j**2 - 28*j**3 - 3*j - 7*j**2. What are the prime factors of v(-7)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-192)*-54)\/((-6)\/120)*6\/(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 2, v: 4, j: 1, f: 1}. Give prob of picking 4 v.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21333424 (base 5) to base 13.\nAnswer: -65762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**5 + 1865*i**4 + 172975*i**3 - 174845*i**2 = 0.\nAnswer: -187, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6555, -3, -2\/27 in increasing order.\nAnswer: -3, -2\/27, 6555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 100\/3 and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -110\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408721.\nAnswer: 113, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((3\/(-1))\/(-3)). Let u be (-5 - -4)\/(2\/n). What is the derivative of -4 + 0 + u*w + 5 wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 8\/3*a**3 - 26\/3*a**2 - 5\/3*a.\nAnswer: -(a + 3)*(2*a + 1)*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -141. What is the remainder when 86 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3945 divided by -789.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65399065*z**5 + 7266643*z wrt z.\nAnswer: 1307981300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1244 and 9435155610?\nAnswer: 9435156854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*k - 1 + 4 - 1 + 1 + 21*k to b + y*k and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 5*r**2 + 6*r - 1. Let j be h(6). Is j - -19 - (-4 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*g - 0*x + 46, g = -3*x + 3. Suppose 7*i - 3*i = -32. Let u = g + i. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 936 = u - 242, 5*c - 5990 = -5*u. What are the prime factors of u?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4576\/936 + 2\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 2 = 11*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 0*q**3 + q + 2 + 40*q**3 - 5 + 35*q**3 + 0*q**3 to i + n*q**3 + b*q + r*q**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = -p + 27, 2*p = -2*u + 14. Suppose -139*t + 126*t = -52. Solve -19 = 3*b - 4*b + t*k, u*b - k = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-12) - 242\/76. Let u = 2581\/190 + v. Calculate the common denominator of u and -35\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74100, -148321, -222542, -296763, -370984, -445205?\nAnswer: -519426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:16 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -3. Let s = h - -3. Suppose 3 = 2*k - 5*y + 9, y = -4*k + 10. Sort s, k, 4 in decreasing order.\nAnswer: 4, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 1 m when three letters picked without replacement from {d: 1, f: 3, a: 1, m: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3010)\/903)\/(((-1)\/4)\/(9\/12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*v + 1073 - 9*v - 1070 - 2*v to b*v + w and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 - 9*s**3 - 28*s**3 + 27*s**3 - 30*s**3.\nAnswer: -47*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -1*sqrt(121)*2)*-4)\/(sqrt(55)\/(sqrt(20)\/(sqrt(4) + (sqrt(36) - sqrt(4))))).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24315 and 72945.\nAnswer: 72945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1305 - 856. Which is smaller: 0.2 or a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*n**4 + 0*n + 12*n**3 + 112\/9*n**2 - 1\/9*n**5.\nAnswer: -n**2*(n - 28)*(n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -40, -23, -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.027 and 0.12.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 216\/21 + 8\/(-28).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -932*r**7\/7 - 336*r**3 - 749. Find the third derivative of b(h) wrt h.\nAnswer: -111840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.1 - 8.2. Let s = -14 - x. Let j = -2.679 + 0.679. What is the closest to -3\/2 in j, -0.07, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24 - (-5)\/((-20)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4 + 32*b**3 + 286*b**2 + 480*b + 225 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -113, -139, -161, -179, -193?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33320543651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-300)\/(-120) - ((-2)\/4 + 1). Let z(g) = -g**3 + 4*g**2 - 2*g + 3. Determine z(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 21*u + 0.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (355\/142*124\/50)\/(-1).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**6\/360 - 3*f**5\/40 + 7*f**4\/12 + 7*f. Let a(b) be the third derivative of r(b). What is the derivative of a(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786249 <= 786244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17520 and 4735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 13896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131931268.\nAnswer: 2, 7, 4711831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*1*2\/(-6). Find the first derivative of -2*k**2 + 2 + 2*k**2 - 4*k**2 + r*k**2 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -182 - 158 - (-2 + (0 - 1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 6*a - 3. Let c be s(-4). Let y(b) = -b**2 - b**2 - c*b**2 + 5*b**2. Let d(g) = 3*g. Calculate y(d(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(35\/60))\/(4\/42). Suppose -w*o + 43641 = 21*o. Does 55 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i**2 + 5*i. Let q(p) = 14*p**2 - 6*p. Let b(o) = -6*h(o) - 5*q(o). Let t(v) = 457*v**2. Give t(b(u)).\nAnswer: 1828*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 24*c**2 + 2*c + 4. Let x(z) = 2*z**3 + 48*z**2 + 4*z + 9. Give 13*m(q) - 6*x(q).\nAnswer: q**3 + 24*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6710 and 69\/6934114.\nAnswer: 34670570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1094 - -1180. Solve -6*p - q = -38 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-214)\/(-84) - 54\/(-324)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b + 2. Let w(t) = 8*t**2 - t + t**3 - 15 + 8*t + 14. Let i be w(-7). Let s be k(i). Solve -5*a + 2 - 7 = s, 2*r + 13 = -3*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93392.55 to the nearest one thousand.\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 18778 = -4*j, -2*j - 4*s + 2913 + 6491 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/3)\/((-12)\/8*7)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddoodddda. Give prob of picking 3 d and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7386 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-31)\/((-18972)\/(-136))*-3*(-2 + 59)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-28)\/6. Let u be -2*(-5)\/((-10)\/n). Suppose 3*z - 23 - 22 = 0. Solve -2*q - z = -5*p, 0 = -4*q - u*p + p + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 78*r**2 - r + 3614. Is 13 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573358858533 minus -45.2?\nAnswer: 573358858578.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5 - 156*c**4 + 1588*c**3 - 1140*c**2 - 2888*c = 0?\nAnswer: -1, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 1, g: 1, b: 3, c: 1}. What is prob of sequence bgo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 7. Let g be 4\/(-38) + 6*(-28)\/(-152). What is the units digit of 1 + j + 147\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h + 61. Calculate s(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 - 16*s**2. Let n = 165 + -153. Let h(t) = 2*t**2 - 22*t - 24. Let a be h(n). Determine l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/984 and 447158\/1318560 - (-6)\/(-20).\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -402965\/92 at least -4380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppfyxvopvpfppxvpx. What is prob of sequence vpfx?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06227264 rounded to five decimal places?\nAnswer: -0.06227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, 21\/11, -0.5, 3, 4, -2\/5 in ascending order.\nAnswer: -0.5, -2\/5, 2\/31, 21\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 12) to base 15.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77378.8 and 4.\nAnswer: 309515.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14300 - 14299.45942. Let w = -26 - -26.54. Let f = w - z. What is f rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*s + r, -5*r + 5 = -991*s + 986*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519889 to the power of 1\/2, to the nearest integer?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(8))**2 + -4 + -3 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7070230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/9*(-4 - -2). Find d such that 3*d + 3*d**4 + u + 1\/3*d**2 - 7*d**3 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 15120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*p + 77 = -o + 224*p, 3*o = -2*o - 4*p - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/4)\/((-5)\/940)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 + u + 8. Let d be c(0). Let o(r) = 2*r - 11. Let g be o(d). What is the first derivative of -s - s - 4*s - 3 + g*s wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 - -4. Let l = 0.073 + -0.343. Let q = l + 0.27. Which is the fourth biggest value? (a) q (b) h (c) 1\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11670172 or 93361371\/8?\nAnswer: 93361371\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -20 + -40 + (-2 - (2 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1026 + -1019. Which is the smallest value? (a) -2\/3 (b) o (c) -1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = 14. Are q and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.032 - -0.068. Let i = -7\/5 + 1. What is the closest to x in -1, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m + 16. Let v(o) = -3*o + 4. Let s(q) = -2*r(q) + 9*v(q). Let a(j) = 3*j - 7. Calculate -2*a(l) - 5*s(l).\nAnswer: -l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18541690757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 11, w: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1005 and 2010?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 40 = 7*s. Suppose 40 = 4*d + 2*z, -7*d + 4*z + 28 = -6*d. Suppose -s*x + d*x - 1082 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 8*p + 4. Let x be h(8). Suppose -3*j = -2*c - 1, -3*c = 2*j - 22 + x. Suppose c*d = -d + 10. Solve -4*l - 14 = d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 13992264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 2, -106, -5.\nAnswer: -106, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-1*sqrt(30)\/sqrt(5) + sqrt(6) + sqrt(6) + sqrt(6)) + sqrt(2) + 0 + 2 + -2 + sqrt(10)\/sqrt(5))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s + 34 = 0. Suppose 0*c - c = -s. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, -5*v - 2*t + 153 = -87. Let c be (-3 + 4)*-2 + 3. Let w be ((-3)\/(-3))\/(c\/47). Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -47\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17174 and 15262700.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 8:02 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 194?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 50*g - 5. Let f(k) = -351*k + 36. Determine 2*f(d) + 15*t(d).\nAnswer: 48*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/135)\/(58\/(-203)))\/(6\/(-27)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 - (-17)\/(26 + -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0975 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1928 and -1931 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)\/(1 - 0). Suppose -7*f + 12 = -f. Suppose -3*c - f*t + 6*t = -g, 5*c + 2*t - 45 = 0. Calculate the highest common divisor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 541 + -540. Which is the third smallest value? (a) p (b) 13 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3861 and 52\/95051?\nAnswer: 33362901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 1535*a**4\/3 - a + 140. Let m(l) = l**2. Give m(r(x)).\nAnswer: 37699600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -31*v - 2. Let r(i) = 156*i + 10 - 193*i + 10 - 18. Calculate z(r(m)).\nAnswer: 1147*m - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + (7 - 12)) - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 155*o - 256. Calculate y(50).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 132*j**2 - 1044*j + 7738. Determine g(-123).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 13*v - 714 = 0. Which is bigger: 101 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 9*c - 10. Let f be (128\/(-20))\/(1\/20). Let r be (1\/(-12))\/((-12)\/f). Is r <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 0*u - 5*u - 9*u - 29 - 9. What are the prime factors of p(-17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-11 - -8 - -1 - 4 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 193*w**2. Let u(r) = -87*r**2. Give u(j(g)).\nAnswer: -3240663*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 1804?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**8\/2240 - q**7\/840 - q**4\/6 + 2*q. Let l(f) be the third derivative of s(f). Find the third derivative of l(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 193*q - 2. Let i(x) = -2*x**2. Calculate i(m(b)).\nAnswer: -74498*b**2 + 1544*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.02, 0.8.\nAnswer: -9, -0.02, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let o = z + -0.9. Let f = 6 + -6.4. Which is the second smallest value? (a) 0.2 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40 and -16431?\nAnswer: 16391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -1375, -3032, -5335, -8284, -11879, -16120?\nAnswer: -21007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y - y**2 - y**2 + 3*y**2 + 0*y**2 + (-3*y - y + 2*y)*(0*y - y + 3*y) - 8*y**2 + 9*y**2 + 12*y**2 + (-3*y - 2 + 2)*(2*y - 3*y - y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*s = 2*s - 1, 2*w - 2*s = 2. Suppose -4*g = 2*y - 1056, -2*g + 1569 = w*y - g. Is y a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:25 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-238)\/(-63) - (-6)\/27. Let n be 1*(0 - 3 - c). Let r(w) = w**2 + 3*w - 14. Calculate the remainder when 39 is divided by r(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 19*h**2 - 14*h - 26. Determine g(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + q + 1. Calculate w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 745, -5, 9 in ascending order.\nAnswer: -5, 9, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + p - 7. Calculate the remainder when x(-5) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 6*c + 1. Suppose h = 10 - 3. Determine d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + y = b - 2, 486 = -b + 12*y + 521 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 22 = -2*s, 3*s - 3*q + 175 - 217 = 0. What is the remainder when 5744 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3225096 less than 20?\nAnswer: -3225076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**3 - 7*y**2 - 3622*y - 28. Let d(q) = -4*q**3 - 6*q**2 - 3620*q - 24. Determine -7*d(p) + 6*o(p).\nAnswer: -2*p**3 + 3608*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 10 + 1. Suppose -2*j = 4, 0*l - 14 = -5*l - f*j. Solve -l*t = -2*z + 2, -4*z + 5 = -2*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47655 divided by -15?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 13*w + 14. Let x be l(-12). Suppose 5*s - 68 = -8. Find the second derivative of -4*q - s - 2*q**2 + 12 - 2*q**x wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 49206 = -9*a. Suppose 2*k + a = 5*g, -2*g + 2*k - 6*k + 3266 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2 + 19*l - 34 = 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 9. Let k be i(7). Let n(s) = 6*s - 12. Is n(k) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1767, -1\/8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21635 by -4327.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 14. Let u be 9\/j - (-30)\/8. What is x in -2 + 20*x**2 + 4 + 10*x**4 - 20*x**u - 11*x + x - 2*x**5 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/15 + 10766*z\/15 + 80214372\/5 = 0. Calculate z.\nAnswer: -8603, 13986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48798.4 rounded to the nearest one hundred?\nAnswer: -48800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.1. Let t(i) = 2*i. Let z be t(2). Suppose 0*b = -5*b + 3*p + 9, -z*b = 3*p - 18. Is b at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggkccccggec. Give prob of picking 2 c.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**3 - 3*b**2 + 4. Let j(t) = 5*t - 12. Let k be j(3). Let z(o) = 7*o**k - 2 - 5*o**2 + 12 - 3. Give 10*q(m) - 6*z(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6557 - -98353\/15. Which is the nearest to 0.013? (a) 0 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -1\/11, -223, -13?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 - -130. Which is smaller: -16 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -2 - (-46 + 28)) + -3 - 62.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1385625 * 0.5\nAnswer: 692812.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53323, -106501, -159679, -212857, -266035?\nAnswer: -319213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiciiiiiiicii. Give prob of sequence ci.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6007, -6011, -6015?\n\"Answer: -4*c - 6003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 15. Let r be x(-19). Solve 5*v = -0*d - 4*d + 6, -d = 4*v + r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19 and 25\/82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13658*q**4 + q**3 - 173509*q**2?\nAnswer: -327792*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 - 2*z**2 + 3*z**2)*(-1 + 2 - 4 + (4 + 0 - 5)*(-48 - 6 - 27)) as o*z**2 + n*z + r and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 66970007900252 and -5?\nAnswer: 66970007900257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**3*w**4 + 39*r**3*w**3 + r**3*w + 7*w**2 wrt w.\nAnswer: -96*r**3*w + 234*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let i(v) = 2*v**2 + 71. What is i(a(w))?\nAnswer: 2*w**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -23) + 70\/(-15) + 1\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/6 - 16952*g**3\/3 + 47872440*g**2 + 383341248*g = 0 for g.\nAnswer: -8, 0, 16956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450137090?\nAnswer: 2, 5, 13, 3462593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36015619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 19 = -13. Let z = -9 - -12. Suppose 2*g - 13 = -z. Sort h, 3, g.\nAnswer: h, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -0*a. Suppose -3*p = -4*j - a, -3*j - 5*p = -8 - 13. Suppose 0 = j*i + t - 430, 5*t = i + 3*t - 210. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 5320 - 3703. Let t = -12907\/10 + y. Let b = -17677 - -388799\/22. What is the common denominator of t and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14319199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 5. Suppose r + 2*r - 9 = 0. Let f be (-3)\/2*(-8)\/6. Suppose -m + r = -f. Determine a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1430644 (base 7) to base 16\nAnswer: 2ef96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smrrmrisrsie. Give prob of sequence essi.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 41 - 41. Which is the nearest to i? (a) 2 (b) 1\/3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 6. Let y(j) be the third derivative of -1\/6*j**3 - 1\/6*j**4 + 0*j - a*j**2 + 0. Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, e: 2}. What is prob of sequence ee?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 98 = -0*j + j, 2*m - j + 192 = 0. Let q = -97 - m. What is the nearest to -5 in -2\/5, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 315450.2 to the nearest one hundred.\nAnswer: 315500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -410?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 14, -0.2, -1\/2, 113089, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 3*i + 7. Let h(a) = -a**2 + 4*a + 8. Let g(s) = -6*h(s) + 7*o(s). Let z = -3592 - -3595. What is g(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61830*p**4 - 2*p**3 - 324*p**2 + 70213508*p.\nAnswer: -741960*p**2 - 12*p - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31200590711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1727369\nAnswer: 5182107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -890386, -890404, -890422, -890440?\n\"Answer: -18*i - 890368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -0.04433?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:46 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23317 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -145*u - 1. Let s be b(5). Let f = -2833\/4 - s. Find the common denominator of f and -4 - 53\/(-4) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (439 + 9*b - 439)*(-b + 3*b + 10*b) in the form h*b + p + c*b**2 and give c.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:23 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.47 (b) -0.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 299, 0, 5, 0.2, -920?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4427677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 368639 less than or equal to 368620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 651 + -644. Let c(f) = f**3 - 4*f**2 - 16*f - 36. Let o be c(a). Are o and -17\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*c + r + 7 = -894*c, -2*c + 11 = 3*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7364321 is divided by 422?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -384 - -379. What is the tens digit of (366\/(-12))\/(p\/90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Let i(c) = 6*c**2 - 89*c - 5*c**y + 89*c. Let g(l) be the first derivative of -l**2\/2 + 12*l - 3. Determine g(i(s)).\nAnswer: -s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {r: 7, f: 5, w: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:08 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/4)\/7)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.334 + 90.6\nAnswer: 90.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.128083 to 4 dps.\nAnswer: -0.1281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1398588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, u: 6}. What is prob of picking 4 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3097*b + 258943. What is d(86)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 11*o = t - 236, 2*o = 5*t - 1163. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -602, -907, -1226, -1565, -1930, -2327, -2762?\nAnswer: -3241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + ((-1*sqrt(539))**2 - (sqrt(1584) - sqrt(1584)*-1)).\nAnswer: -24*sqrt(11) + 534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18152, -39389, -60630, -81875, -103124?\nAnswer: -124377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n - 531. Let i(a) = 3*a - 1. Determine -g(q) - 2*i(q).\nAnswer: -2*q + 533","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktfcfmf. Give prob of sequence mkt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/432262 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33556373 a multiple of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 17*q + 2. Let o be z(-5). Let j be 1*3 + (37 - 10). What is the highest common divisor of o and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 2.3. Let w(q) = q + 1. Let l be w(-3). Let k be (l*(-1)\/2)\/3. Sort -2\/7, k, i in decreasing order.\nAnswer: k, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39254 + 41459.1. Let l = 2112 - s. What is l rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -10.6. Let s = 4 + x. Let h = -24 - -29. Which is the third smallest value? (a) h (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844263 to the power of 1\/2, to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 59 = -h, 5*i = 5. What is the lowest common multiple of (-21)\/(-35) - h\/5 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 + -13.3. Let r = -9 - t. Which is the second biggest value? (a) -4 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/m)**(6\/7) assuming m is positive.\nAnswer: m**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647404481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 211, 209, 209, 211?\n\"Answer: f**2 - 5*f + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 9\/(-3) + 7 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/32 - 3*k**3\/16 + 8*k - 11. Factor d(x).\nAnswer: 3*x*(x - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1995 - 1035 = -30*q. What are the prime factors of q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 14 - 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*a**2 + 83*a**2 - 304 + 101*a**2 + 306.\nAnswer: 497*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.17 (c) -4 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 361. Let k(h) = h + 57. Let c(z) = 38*k(z) + 6*o(z). Let t(y) = 23*y + 253. Let u(p) = 1. Let i(q) = -2*t(q) + 506*u(q). Determine c(i(v)).\nAnswer: -92*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/28)\/((-36)\/96).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 4 + (73 - 82)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(2*3\/(-6)). What is the highest common factor of z and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = 0, -4*p + 2*p - 4*q = 0. Suppose p = 3*o - 0. Is 7 a factor of ((-22)\/8 + o)\/((-8)\/224)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.078, -12\/11, 3 in ascending order.\nAnswer: -12\/11, -0.078, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.97 + 7.97. What is the biggest value in 2\/9, g, -1, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 13*w**2 + 13*w + 6. Let z(n) = -6*n - 50. Let b be z(-10). Suppose -b*s - 24 = -8*s. Calculate a(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*c = 5*c - 12, -2*c + 8 = 2*h. Suppose 4 = h*d, -3*a + 23 = d + 3*d. What are the prime factors of (a + -2)\/((-12)\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*u - 17 = 3*g, -4*g = 2*u - 18. Suppose g*c - 10 - 57 = j, 3*c - 93 = -j. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3680.9665 + -3682. Let k = 0.0335 + q. Which is the closest to 0.4? (a) -2 (b) 6 (c) -2\/9 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*z - 250 + 271 = -5*w, 5*w = -5*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**3 + 516987*o**2 + 219239?\nAnswer: 3*o**2 + 1033974*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g**3 - 118*g**2 + 118*g**2 - 3.\nAnswer: 33*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 12*w**2 - 12*w + 14. Let m be r(11). Solve 3*o = -4*z + 16, -m*o = 4*z - 8*o - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = l - 18, 5*l + 8 = 3*l - 3*u. Let z be (21\/(-6))\/((-1)\/l). Let t = 12 - z. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-10 + 11 - -2) - -14) + -44 - 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16966200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*m - 18971120 = -76*m - 60*m. List the prime factors of m.\nAnswer: 2, 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 + -6)*(-2)\/(-6). Let g be 3\/i - 275\/(-1050). Let o = 235 - 239. Which is the closest to -1\/3? (a) o (b) g (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0573575 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.73 - 4.72. Let k = r + -0.31. Round k to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1331848 and 115\/332962.\nAnswer: 1331848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 5. Suppose 8*a = 3*a + 10. Let c be 4\/16*a*6. Suppose 4*j + 4 = 7*g - c*g, 4*g = j + 1. What is r(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.1. Let r(o) = o - 5. Let g be r(1). Which is the closest to s? (a) 1 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 32*m**2 + 317202*m + 5075236. Calculate b(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12770718717 - 12770718717 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Suppose -q*c + 7 + 302 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -114830, -459298, -1033404, -1837148, -2870530?\n\"Answer: -114819*n**2 - 11*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 h when three letters picked without replacement from ehhkkekehehee.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7579 + -7573. Let c = 0 - -6. What is the remainder when c is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.457 + 0.143. Let j = -2.2 + -14.8. Let a = g + j. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -2411315?\nAnswer: 2411333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236806 divided by 6?\nAnswer: 372801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -2*((-618)\/240 - 30\/100)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -115)*1 + 0 - 2. What is the highest common factor of 168 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -30. What is the nearest to 1 in -16, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1563*f + 20588. Give j(-13).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2624)\/(-287) - (-48)\/56. Which is the third smallest value? (a) 4 (b) v (c) 227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*s + 65*n - 14*n, 6*s + 4*n = s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 41. Suppose 0 = -5*l + 20, -5*x - s + 50 = -5*l. Suppose 3*g = -2*o + 9, g + 4*o = 5 + 8. Calculate the lowest common multiple of x and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214368925?\nAnswer: 5, 19, 451303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3 + 1 - l + 0 + 5*l**2 + 3*l. Is c(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -224*s**2 + 121*s - 32. Let c(h) = 75*h**2 - 41*h + 10. Let r(n) = -8*c(n) - 3*w(n). Is r(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*m, 0 = m - 5*x + 18 + 3. Suppose 2*o = -m*v + 37 - 15, 0 = o - 3. Suppose -54 = -v*d + n, -2*n = 6*d - 4*d - 32. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73934983.6 rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26041 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 2*v**2 + 8*v + 4. Let n be p(-4). Let i be 4\/6 - 6\/(-18). Let m be 0\/(-2) - (4 + 0). Sort i, m, n in decreasing order.\nAnswer: n, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -2379, -8240, -19611, -38328, -66227, -105144?\nAnswer: -156915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/1397 - -3464\/9779. What is the common denominator of -39\/11 and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22534528 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-12)*-3)\/(-6). Let r(a) = 3*a - 15. Let s be r(5). Let y = 0.6 + -1. What is the second smallest value in s, y, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 11949 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -s - 15, 3*d - 22 - 9 = 2*s. Let z be 4\/s + (-930)\/(-70). Solve 5*p + 7 + z = 0, -3*a = -3*p - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/224*1*(-8)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(0*w + 2*w**3 + 0*w) - 74*w + 74*w + w**3 + (-1 + 0 + 3)*(-4*w**3 - 3 + 3).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 9415630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 2, y: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -45*c**3 - 11*c**2 - 23*c - 6. What is the thousands digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2240)\/64*(-6)\/(-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 != 215.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 97) + (1 - 13 - (23 + -68 + 46)).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b**3 + 151*b**3 + 54*b**3.\nAnswer: 243*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2))**(-23) assuming k is positive.\nAnswer: k**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 8 = -c. Let b be 2 + -2 + 79 + -1. Calculate the greatest common factor of c and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -1008, -0.5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + -8. Let m = 10 + d. Let k = m + -1. Sort -1, 0, k in decreasing order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567, 1142, 1717, 2292?\nAnswer: 2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3885, -7969, -12043, -16101, -20137, -24145?\nAnswer: -28119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397708251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341876?\nAnswer: 2, 3, 67, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - z**2 - 4*z**2 + z**2 + 41*z**2 + (-z + 3 - 3)*(z + 3 - 3).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(52) - sqrt(208)\/sqrt(4)) - sqrt(52) - (sqrt(208) + -5))**2.\nAnswer: -96*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 32 - 17 = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(2057))**2 + (3 + sqrt(2057) + 3)**2 + sqrt(2057) - ((1 + sqrt(2057))*5 + (((sqrt(2057) + -3)*1)**2 - sqrt(2057) - sqrt(2057))).\nAnswer: 176*sqrt(17) + 8255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 1. Let x be v(-2). Suppose x*f - 6 + 0 = 0. Suppose 0 = -s - 2, 3*c + 3*s = f*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v - 4*b = -3, -5*b = -2*v. Solve -a = -4*a + 4*g + 8, -v = g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2)*y*y)*y)**(-25)*(y\/y**(-2\/9))\/(y*(y*y**21)\/y*y) assuming y is positive.\nAnswer: y**(-421\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - -5*sqrt(200)*-2)\/sqrt(10)*6)\/(((sqrt(1440) - -2*sqrt(1440)*2) + sqrt(1440) + sqrt(1440))*-1).\nAnswer: 9*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 14*y - 4*y)*(-y**4 + y**4 - 4*y**4)*((2 + 2 - 5)*(-3 + 3 - 2) - 31 - 72 - 61).\nAnswer: 8424*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**3\/3 + 5*i**2\/2 + 4*i - 1158. Determine f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11469 + -6653. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + -7.4. Let a = -12 - -7. Let t = a - y. What is the second smallest value in -3, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:53 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425.1 + 451.37. Round s to zero dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:44 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7*36\/(-129780)*10\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 180 = 14*x - 6*x, 0 = -i + 49*x - 224 - 418 - 435 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.39641296 to two dps.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2*v**2 + 3)*(2 - 4 + 5) + 3*v**2 + 4*v**2 - 5*v**2 - v**2 - 4*v**2 + 1 + 2*v**2)*(6*v**2 - 2*v**2 - v**2)*(25*v - 20*v + 5*v).\nAnswer: -210*v**5 + 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36712 is divided by 9159.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from npxpm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(6\/11)\/w)\/w)*w*w**(-2\/3)*w assuming w is positive.\nAnswer: w**(125\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 7:41 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 9 - 2*i - 3.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.96833 * 0.003.\nAnswer: 0.00290499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 230?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -391 - 25*o**3 - 315 + 921 - 311 wrt o.\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 53. Calculate the common denominator of 41\/3 and ((n - -14) + 126)\/(6\/1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758.5374288 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*f**4 + f**2 - 33*f**3 - 43*f**4 + 13*f**3 + 18*f**3 + 6*f + 11*f**4 to the form i + t*f + k*f**4 + p*f**2 + u*f**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - -1) + 4 + -3 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n. Suppose n = 4*u + 2 - 6. Suppose -t + 8 = u. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-932*x**2 + 394*x**2 + 109*x**2)*(0*x - x + 3*x) in the form t + p*x + q*x**2 + w*x**3 and give w.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**6\/90 + k**5\/20 + k**4\/12 + k**3\/18 + 8*k. Determine m, given that u(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f - 256. Determine y(-51).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/4)*m))**(1\/3))**(3\/4)*(m**(2\/7)\/(m*m**(-4\/3)*m))**(-5) assuming m is positive.\nAnswer: m**(619\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c51 (base 15) to base 6.\nAnswer: -230551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120, 131, 156, 201, 272, 375, 516?\n\"Answer: w**3 + w**2 + w + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:06 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10256652*i*r**3 - 1646*r**3 + 3*r**2 + 5*r - 14 with respect to i.\nAnswer: -10256652*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*i = 5*i - 10, -4*w - 4 = -2*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 410. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 + 5610*u\/13 - 226648\/13.\nAnswer: -2*(u - 2764)*(u - 41)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**7\/105 + b**6\/30 - b**4\/6 - b**3\/3 + b**2 + 7*b. Factor u(g).\nAnswer: 2*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903.23 minus 0.4322545?\nAnswer: 902.7977455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -418.\nAnswer: -1\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0) + 7\/((-28)\/16). Let r be u\/(-15) - -1*(-52)\/60. Are r and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z**4 - 137*z**3 + 137*z**3)*(-229 + 229 + 30*z) + z**5 + 3*z**4 - 3*z**4.\nAnswer: 511*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 11) to base 3.\nAnswer: 22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d + 10*d - d - d. Let k(s) be the second derivative of s**4\/12 + 6*s. What is i(k(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1230042 * -1.\nAnswer: 1230042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r - 1\/30*r**6 + 12*r**2 - 1012\/3*r**4 + 0 - 3872\/3*r**3 - 89\/15*r**5. Suppose g(w) = 0. Calculate w.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 + 445*c - 3240 = 0.\nAnswer: 8, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.5 (c) 0.4 (d) -1038 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 divided by 4?\nAnswer: -173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*z**2 - 38*z**2 - 1 + 2*z**4 + 15*z**3 + 73*z**2 in the form g + k*z**4 + b*z**2 + p*z**3 + y*z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21805 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 - 276*t + 119)*(44*t**2 - 44*t**2 - t + 6*t**3)*(1 + 4 - 3).\nAnswer: -3312*t**4 + 552*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 1, d: 2, z: 3, i: 1}. What is prob of picking 1 i, 1 z, and 1 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70673183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:35 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/6 - 13*w**2\/2 + 17*w. Find the first derivative of b(t) wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14120655 divided by -6.\nAnswer: -4706885\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21631 - 0) + ((-192)\/36*3 - -10)?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 - 12*v + 13. Let m be 28*-1*-2*5\/40. Is r(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*(o\/o**1)\/o)\/o**(-37)*(o**(3\/4)*o*o\/(o\/o**5))\/((o*o**1)\/(o**(2\/9)*o*o)) assuming o is positive.\nAnswer: o**(1655\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 3117607 a multiple of 977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -8.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 2607.4251?\nAnswer: 2540.4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.063977432 + -67355\nAnswer: -67354.936022568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -i + 99, -2*f - 3*f = -15. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven halves of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 1969?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/3*(4 + -6). Suppose -2*f - 5*a - 17 = -1, -3*f - a = -2. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.0243, -7, 3, 3\/4?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58\/13*a**2 + 6\/13*a - 2\/13 - 56\/13*a**4 - 6\/13*a**3 = 0.\nAnswer: -1, -1\/4, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 54*f**2 + 1409*f - 7410. Give t(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*4*-3)\/(sqrt(54)\/(sqrt(36)\/sqrt(4))).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13502781 is divided by 1505.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:44 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*2)\/sqrt(567) - (-6*(sqrt(72) + -3 + sqrt(72)))**2.\nAnswer: -10692 + 23344*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 2, s: 1, j: 2, k: 1, w: 1}. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -3 + 4)**2 + ((sqrt(385)\/sqrt(99))\/(-2*sqrt(175) + sqrt(7)))**2.\nAnswer: 16*sqrt(5) + 234014\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-32)*(0 - -2))\/((-29)\/(-11484)*297).\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*f - 27*f + 72. Let v(l) = -l**3 + 24*l**2 + 4. Let x be v(f). Solve -3*i - 2 + 1 = x*j, 5*i + j - 21 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -8 + -3 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6*s + 19*s + 3 to f*s + w and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 94 = -10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhhhhhhhhhshhhh.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*d - 104850 = 84*d + 688*d for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100010110001000101 (base 2) in base 9?\nAnswer: 675838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3540535 is divided by 1663.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0862 times 1094\nAnswer: -94.3028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7. Let f be 1 + t*(3 - -27). Suppose 0 = u - 3*l + 10, u + 5*l - f = -9. Solve -u*j = -4*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/15 - 6*v**2 - 4. Let y(s) = -43*s**2 - 48*s**2 + 90*s**2. What is k(y(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 6*y - 11. Let p(u) = u**3 - 12*u**2 + 12*u - 1. Let f be p(11). Suppose -2*v + f = 22. What is the remainder when m(v) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159445684985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 5, e: 3, x: 6, i: 2, u: 1}. What is prob of sequence wzex?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwlv when four letters picked without replacement from vlgwfwffvvlp?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dig when three letters picked without replacement from fdifggddfddg?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 31.6. Let s = -61.02 + 0.02. Let j = s - -60.8. Which is the nearest to 0? (a) j (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 36 = -j - 3*n, -j + 3*n = 4. Suppose 3*x = 2 + 4. What is the remainder when j is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/21 + -2 + 2\/(-12). Let r(l) be the second derivative of 0*l**2 - 6*l + j*l**3 + 1\/20*l**5 + 0*l**4 + 0. What is the second derivative of r(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109211944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0)\/((-1)\/(-1)). Let a be (-1)\/(-2) + 7\/2. Suppose 1003*j - 977*j = 0. Sort j, t, a, -4 in decreasing order.\nAnswer: a, t, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6336 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + sqrt(180) + sqrt(125) + 0 + 5 - -3*(-2 + (sqrt(125) + (4 + sqrt(125) + sqrt(125)*1 - sqrt(125)))**2).\nAnswer: 254*sqrt(5) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58372495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 + 9 = r, 6 = -2*u - 2*r. Suppose 3*d + 15 = -4*q + 11, -u*d + 5 = -5*q. Solve -5*z + m = -17, d*z + m = -z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3279 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {q: 7, f: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooooooooxo. What is prob of picking 3 o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i**2 - i - 98*i**2 + 115*i**2. Let o(r) = 2*r**2. Calculate l(o(j)).\nAnswer: 28*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97.45685 + 98.5768547. Let c = w + -1.12. What is c rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 2*w**2 + 2*w**3 + (-2*w**2 + 2*w**2 - w**2)*(-85*w + 112*w + 40*w) to the form t*w + s*w**3 + f*w**2 + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7884 and 11?\nAnswer: -86724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93824285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.093 + -0.163. Which is the closest to 0? (a) 1 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/(2\/6). Let m(u) = u**3 + 3*u**2 - 2*u - 10. Let h be m(-5). Let o = l - h. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/6 + 7*a**3\/6 + 7*a**2\/2 + 139*a. Suppose -2*q + 4 = 12. Let k(m) = -m**2 + 4*m + 4. What is q*z(r) + 7*k(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21985 is divided by 231?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 111 and 0.2.\nAnswer: 111.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -22 - -31 - (3 - -2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmme when four letters picked without replacement from eemeeemmemmee.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2458683 - -0.62.\nAnswer: 2458683.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154\/8367 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5679254, -11358501, -17037748?\n\"Answer: -5679247*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*f**3 + 38*f**3 + 39*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/5 - 189*g**3\/5 + 293*g**2\/5 + 96*g = 0.\nAnswer: -96, -1, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 3) + 23\/1. Suppose -5*q - m = 0, 4*u + 6 = q + 19. Suppose 1\/3*o**u + 0 + 1\/3*o = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/15)\/((-24)\/54). Suppose 2*p - w*v - 183 = -3*p, 5*v = -5*p + 175. What is the remainder when 176 is divided by p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*((-w + 5*w - 2*w)*(-4 - 4 + 2) - 2*w + w - 4*w).\nAnswer: -68*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71862 by 4.\nAnswer: -35931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3914627km to centimeters.\nAnswer: 39146.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159065624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**2 + 47*j + 1. What is q(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.18 times 0.4\nAnswer: -0.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1211, -2408, -3607, -4808, -6011, -7216?\n\"Answer: -z**2 - 1194*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4 and 45\/3332?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26228, 31507, 36788, 42071, 47356?\n\"Answer: z**2 + 5276*z + 20951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - -3 - (0 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9652 + 633*n - 3222 - 3222 - 3220)*(-4 + 4 + n) + 2*n**2 - n**2 + 0*n**2.\nAnswer: 634*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21102233 (base 4) to base 11.\nAnswer: 26663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u = 101*u + 4684 + 3872 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4697358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -132. Let r be (-4 + 0)*(-2)\/36. What is the closest to s in 2\/3, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*f**2\/17 + 3564*f\/17.\nAnswer: 2*f*(7*f + 1782)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16552 divided by -2?\nAnswer: 8276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11331387?\nAnswer: 3, 23, 71, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -19. What is the third smallest value in -3, 0.04, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*y + 626, 0*y + 5*y + 4*v = 790. Let c = y - 152. Suppose c*b - 79 = 135. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 3*c - 264. Let m be 46\/c - 7\/14. Determine v, given that -m*v**2 + 2\/11*v**3 - 2\/11 + 6\/11*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 5:52 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 0*m**4 + 0*m**4 + m**3 - m**3 - m**4 + (2 - 2 - 2)*(2*m - 2*m**4 - 2*m) - 4990*m - 11*m**4 + 4990*m - m**3.\nAnswer: -9*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 - 4*f**2 + 6*f**2 - 10*f**3 + f**4 - 1 + 2*f as a*f**3 + q*f + m*f**2 + o + n*f**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -152 (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8272 times -5?\nAnswer: -4.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.03, 6, -2\/3.\nAnswer: -2\/3, 0.03, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2400204, 9600836, 21601890, 38403366?\n\"Answer: 2400211*j**2 - j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5401335 (base 11) to base 4\nAnswer: 210100033331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 2*n**2 - 2. Let x(g) = -379*g**3 - 9*g**2 + 6*g + 9038. Let i(q) = -5*a(q) - x(q). Find the first derivative of i(w) wrt w.\nAnswer: 1107*w**2 - 2*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 15*j - 12. Let x be g(1). Let v(k) be the second derivative of 5\/2*k**2 + 1\/12*k**4 + 0 + 7\/6*k**x + 2*k. Determine v(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 m, and 2 h when four letters picked without replacement from mhhhhmhmhhhhehmhehm?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1 + 0*x - 2*x - x. Let i be k(-2). Suppose 4*s - h = -0*h + 13, -5*s + 11 = 4*h. Solve -i*w - 5*c - 10 = 0, -w - s*w - c + 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23024 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 4*t + 2. Let c(q) = 3*q**2 - 83*q - 23. Let v be c(28). Calculate i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6656*o - 13297*o + 58923*o + 17035*o.\nAnswer: 69317*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7333170 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 15 + 10 + 5 + 10*c**2 as f + d*c + r*c**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(144) + sqrt(144) - sqrt(144))*6)\/sqrt(8)*5)\/(sqrt(27)\/(sqrt(3)*2) - sqrt(576)*1).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*w + 12. Suppose -w*d - 3*d = 0. Do 5\/6 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let y(s) be the third derivative of 0*s + 1\/24*s**4 + s**2 + 1\/6*s**3 + 0. What is 4*g(h) + 2*y(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 181 - 126 + 18)*(-7*b + b + 4*b) to the form z + h*b and give h.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 4349673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -m, -2*r - 17 = -3*m - 0. What is the least common multiple of m\/1 + 2\/(-2) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 3*b + 5*b - 4*b)*(0*b - 8*b + 0*b).\nAnswer: -8*b**3 - 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15878.438 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 902130 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6001 < -5999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-17)\/3)\/(38\/114).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.521044 centuries?\nAnswer: 11425.2528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1883*l**4 + 3*l**3 - 6892.\nAnswer: -7532*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15*((-15)\/(-9) - 2). Suppose -5*g + 4 = -2*y + y, m*g = 5. Which is the closest to y? (a) 5 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-23) - -2) + (-26585)\/17940*-60\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a - 35. Let n be j(-4). Suppose n*b + 1347 = 6342. Round b to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + m - 2. Determine g(8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(1 + (0 - -3 - 3)). What is the units digit of (-3)\/(q\/20)*(2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 60*u**2 + 222*u + 119. Give k(56).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*a**3 - 128*a**3 - 101*a**3 - 31*a**3.\nAnswer: -318*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 1 (c) 3\/2 (d) -10040 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1960 = -1594*o + 1622*o. Calculate the remainder when o is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -3 + -1 + 3. Sort z, 0, -5 in descending order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 5:20 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*o**6 + 461*o**4 - 2*o**3 - 3*o**2 - 4560 wrt o?\nAnswer: -1440*o**3 + 11064*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 3. Suppose 5*d + 5 = 0, i - 4 = q*d - 0*d. Find the common denominator of (-555)\/(-189) - (14\/(-9))\/(-7) and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 + -3.57. Let r = -1.170324 - p. What is r rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(1\/11)*m\/m**28)\/(m**(2\/5)\/(m\/(m**22\/m))) assuming m is positive.\nAnswer: m**(-2437\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:32 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-697)\/164 + (3 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/5)))\/(l\/(l*l*l**(1\/9)))*l\/l**(-2\/11)*(((l**4\/l)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(1234\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:32 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44*12\/64)\/((-6)\/(-16))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**5 + 9*d**4 + d**3 - 14*d**2 - d + 3. Let j(q) = q**5 + q**4 + q**3 - q. Let u(w) = -j(w) + x(w). What is the third derivative of u(s) wrt s?\nAnswer: 60*s**2 + 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 2*z)*(-2 - 786*z - 1 + 764*z).\nAnswer: 44*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 - 6*i + 3. Let g be b(-8). Let m = 24 + g. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 5137, 7\/44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/30 - (-4)\/30. Suppose -2*z - 2*a + 946 = l, 5*a - 19 = 1. List the prime factors of z.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3271482 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -37, -57, -85?\n\"Answer: -4*r**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-1)\/sqrt(11) + sqrt(55) + sqrt(6655)*2 + sqrt(6655) + sqrt(6655))\/(-4*1*sqrt(125)).\nAnswer: -11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 10011110111100010?\nAnswer: -10011110111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1146, -1\/8, 4\/3, -2\/3, -4 in decreasing order.\nAnswer: 1146, 4\/3, -1\/8, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1841 or 4\/31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042650079 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/4 + 1617*d**2\/4 + 11787*d - 12192.\nAnswer: 3*(d - 1)*(d + 32)*(d + 508)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7181 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6356865 is divided by 10648.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30060.48 milligrams to tonnes.\nAnswer: 0.00003006048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10537*x**2 - 14200*x wrt x?\nAnswer: -21074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -1)\/(-2)*4. Suppose -m*q = 5*q + 36. Let y be (-50)\/q*(24957 + 3). Round y to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 718, 995, 1268?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002122 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6cfac + -7d?\nAnswer: 6cf2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214795 is divided by 1581?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000825 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280 - 154. Let j = q + -123. Is 21 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 136, 273, 454, 673?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 3) to base 6\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 39, 56, 77, 102, 131, 164?\n\"Answer: 2*b**2 + 7*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let j(o) = -2*o - 10 - 4 + 18 - 7*o. Let s(d) = -j(d) - 6*r(d). Let i(m) = 2*m**2. What is s(i(a))?\nAnswer: 6*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/((-4)\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*h - 28*h + 51*h - 12 to the form y + l*h and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*d = -14, -2*h = 2*d - 0 + 2. Solve 4*i + 4*j = 12, 7 - h = -i - 5*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78600*92\nAnswer: -7231200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/66 and (25\/(-63))\/((-3288)\/959).\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 381.\nAnswer: -381.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/10 of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4661201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.45001ml in litres?\nAnswer: 0.01345001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r + 1603. Let y(p) = -6*p + 1064. Give -5*t(k) + 7*y(k).\nAnswer: 13*k - 567","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**32\/((i*i\/(i\/(i*i**(5\/4)\/i)*i))\/(i**(1\/3)\/i*i)))**(2\/57) assuming i is positive.\nAnswer: i**(-203\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + x - 13 = 0, -2*t - 5*x = -x + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*n**2 - 81*n**2 - 3*n**3 + 0 - 66*n**2 + 4 in the form a*n**2 + k*n + t + v*n**3 and give a.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/65 - 6\/10. What is the nearest to -4 in -2, 1, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679295 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:34 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 1)*(39 + 8 - 7) - 3 - 1 - 2)*(3*u + u - 2*u) in the form w*u + x and give w.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaakgkgaaakkggg. Give prob of sequence ggk.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35449483 divided by 6.\nAnswer: -35449483\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2386 and 16?\nAnswer: 19088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 7) in base 6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -3) + (-13)\/((-65)\/(-50)). Let b(c) = c + 6. Let v(p) = -3*p - 19. What is m*b(q) - 2*v(q)?\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58045676 is divided by 19348496?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2)*-1) + (sqrt(13) + sqrt(13) + (sqrt(13) - -6*(sqrt(13) + 1)))**2 - (1*(sqrt(13) + 2*sqrt(13)) + sqrt(13) - (sqrt(13) + 0 + 3))**2)*4.\nAnswer: 500*sqrt(13) + 3852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/(-6)*(-27)\/9. Let m(b) = -b**2 - 1. Let i(g) = 10*g**2 + 11. Give h*m(q) + 2*i(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 3*n - 3294 = 0. Suppose f + v = 185, -2*v + n = 3*f - v. Let o be f\/(-4)*(3 + 19 + -2). Round o to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -836424\/5, -5, 3?\nAnswer: -836424\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + l**2)*(26*l + 8*l**2 - 26*l)*(3 + 0 - 5) + ((l**3 + 8*l**3 + 6*l**3)*(-2*l + l + 3*l) + l**3 + 3*l**4 - l**3)*(-10 + 15 - 6).\nAnswer: -49*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1241231?\nAnswer: 1241221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 113339160*u.\nAnswer: 3*u*(u + 37779720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okf when three letters picked without replacement from kqfocff?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10*240\/(-660)*1)\/(2\/2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 8. Suppose 0*p = -p - k. Is 2\/15 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5618382\/(-267542))\/((-28)\/(-16)*(9\/(-28))\/3).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8*u = 0. Let l be (-193)\/(-3) + 4\/6. Suppose -l = -4*j - 4*p - 13, u = -4*j + 2*p + 46. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -35*p**3 - 3*p**2 + p. Let j(l) = l**2 + l. Let k(t) = f(t) + j(t). Find the third derivative of k(q) wrt q.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281664358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (sqrt(11) - (4 + sqrt(11) + -1))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 d when four letters picked without replacement from {a: 3, d: 12, m: 1}?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/197 + -583\/788. Let t = -27466 - -27463. Let f = 12 + -3. Which is the smallest value? (a) i (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - -7 - 27 - (0 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171447 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:19 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from pfpffnffffvfxfffxf?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -282.\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169878.\nAnswer: 2, 3, 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m**3 - 7*m**2 - 2*m - 14. Let k(s) = -5*s**3 - 2*s**2 - s - 5. What is 8*k(u) - 3*r(u)?\nAnswer: 2*u**3 + 5*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 6.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 2*i**2 - 3*i. Let q be n(3). Suppose q = -2*x - 4. Let k = -3 - x. Which is the nearest to 1\/2? (a) -3 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 100?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060805 take away -1583.6?\nAnswer: 1583.660805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-s - 65*s + 193*s).\nAnswer: 127*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 111 = y + 3*p, 5*p = -2*y - 225. Let d be y\/(-9) - (-36)\/(-162). Factor 3*f**3 + 2*f**2 - 2*f**3 - d*f + 13*f + 0*f**3.\nAnswer: f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11386 = k - r, 14 = 2*r + 4. Let g = k - 114011\/10. Calculate the common denominator of 3 + 61*4\/24*-2 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n**3 + 162*n**2 + 1818*n + 6655. Let i(b) = -55*b**3 - 1135*b**2 - 12725*b - 46585. Let v(o) = -3*i(o) - 20*z(o). Find j such that v(j) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 423\/2 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.161 + 754?\nAnswer: 754.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1120848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 5*r**2 + 2. Let s be i(-5). Let a be (6\/4)\/(18\/(-8)). What is the second smallest value in a, -1\/13, s?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 2. Let a be i(3). Let c = 53 + -37. Let f = c - 11. Solve 23 = 4*g - 3*l, a*g + f*l = -9 - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011101111111110101101 (base 2) to base 7\nAnswer: -62002025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*a + 60*a + 3 - 3 + 75*a.\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121119.\nAnswer: 3, 47, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.04, 5391, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Is (3\/r)\/(21\/224) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2575 = -328*o + 935 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/(-3) + -4 + (-3926)\/4056 and 56\/5?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 1, o: 3, t: 1, x: 1, g: 2}. Give prob of sequence tg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5 + 7686*h**4*z + 11*h**3 - 3*h**2*z - h**2 + 8*h*z - 504*h - 1 wrt h.\nAnswer: -60*h**2 + 184464*h*z + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 4. Let n be 1\/(3\/6) - -2. Let m(u) = u + 2 + u**3 + 0*u - n*u + f*u**2. Give m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -59999*(-2 - 6\/(-2)). Let r be 0 + z - 4\/4. Round r to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1562)\/(-14) + -3 + (-24)\/(-7). Suppose 71 = 3*z + 2*p - 8, -h = -4*z - p. Let n = -13 + z. What is the smallest common multiple of 76 and n?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = j, 6*q - 5*q = -3*j + 28. Suppose 20 = 5*t, -t - 926 = -j*m + 5*m. List the prime factors of m.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*l**4 + 3*f*l + 1423*f + 16623*l**5 + l**2 + 6*l - 4 wrt l?\nAnswer: 24*f*l**2 + 332460*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 9:46 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166 + 12*z - 9*z - z to p*z + h and give h.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.03, -2\/21, -19619 in decreasing order.\nAnswer: 4, 0.03, -2\/21, -19619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbooobboooobbbb. What is prob of picking 2 b and 2 o?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + z + 4*z)*(-10*z + 0*z + 3*z)*(2*z + 0*z + 2*z)*(-5 + 3 + 3) as j*z**2 + u*z + v + d*z**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1131, 7552, 24575, 57504, 111643, 192296, 304767, 454360?\n\"Answer: 884*d**3 - 3*d**2 + 242*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/59, -1, -0.3, -29, -3, 157?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 52. Calculate the smallest common multiple of 18 and (-8)\/j - (-2624)\/205.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y = -6*y + 15*y + 819 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pga when three letters picked without replacement from {b: 6, a: 2, r: 4, p: 1, g: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9604000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {g: 2, d: 2, j: 8}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**3 - 35*r**3 - r**3 + 9*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -53*g + 197. Give i(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 220*p**2 - 2*p - 157. Let i be b(-110). Solve -94*w = -73*w - i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -15838*a + 9. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 875696 by 1.\nAnswer: 875696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 23 + 12597*u - 12601*u + 18 - 6. Give r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1680984250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Let l = 91 + -85. Let x be (-4)\/l - (-15)\/(-45). Let k(n) = -6*n + 5. Calculate x*k(c) - 4*y(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 11*q**2 - 14*q - 33. Let k(v) = -2*v**3 - 25*v**2 + 29*v + 65. Let z(t) = -2*k(t) - 5*n(t). Give z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q + q**3 - 7*q**2 - 2*q + 8 + 5*q + 0*q. Let i be j(6). Is 4\/(-8)*i*11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 138.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*c + 4, -2*w + 5*w + 4*c + 6 = 0. Solve y + 2*d - w = 0, -2*d = 5*y + d + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1097073 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 9}. Give prob of sequence eere.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/7))**(-1\/3)*w**(-2\/35)\/(w**10\/w) assuming w is positive.\nAnswer: w**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 13*x**2 + 6*x - 621. Calculate r(-16).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2722, -5449, -8176, -10903, -13630?\nAnswer: -16357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - -0.53?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + -6.9. Let q = -8 - r. Let f = -3.8 - -4. Which is the nearest to q? (a) -3 (b) f (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7*7\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176889, 176548, 175987, 175212, 174229?\nAnswer: 173044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*12\/96 + 1*(0 - 4).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**4 + 0*m**4 + 0*m**4)*(-6 + 2 - 1)*(0 - 3 - 1) as p*m**3 + g*m + o*m**4 + h + t*m**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161250 or 161133?\nAnswer: 161250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 10:08 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(605))**2.\nAnswer: -22*sqrt(5) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 2.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 f when four letters picked without replacement from {f: 2, b: 18}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400267117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p + 8*p + 10 + 6*p**3 + 7*p to the form g*p**2 + i + o*p + n*p**3 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5514.5 + 5540.469. Let z = f - -0.031. Let c = z + -25.82. Sort c, -5, 0, 5 in descending order.\nAnswer: 5, c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, 1 e, and 1 p when four letters picked without replacement from vscuveup?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3*g + 9, 3*p + 14*g = 12*g + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from jyyelylyamemy.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/40, 1\/5, -3\/4, 121 in ascending order.\nAnswer: -3\/4, -7\/40, 1\/5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(3\/4))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -86, -157, -256, -383, -538?\n\"Answer: -14*m**2 - m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.276977 to one dp.\nAnswer: 41.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q**(-2)*q)\/q))\/((q\/q**(-2\/9))\/q))**(-22) assuming q is positive.\nAnswer: q**(-352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -266*j + 246*j + 3*s, -5*j = 3*s - 45 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Let a(n) = 3*n**3 + 4*n - n**3 - 5*n**2 + 0*n**3 - 1. Let s be a(i). Solve -22 = -d + 4*w - 9*w, 4*w - s = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0 + 0 - 2*n. Suppose l = 4*b - 31, 4*b - 5*l = 6*b + 1. Let d(w) = 2*w**2 + 6*w**2 - 10*w**2 + b*w**2 - 3*w**2. Calculate q(d(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042111053 (base 6) in base 8?\nAnswer: -53066351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -0.5 (b) -3673.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88181 divided by 457?\nAnswer: 88181\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*c + 10 = 0, u = 5*c - c + 22. Suppose 2*k - 2*n = 50, 2*n = k - 28 + u. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in years?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2085250638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -2, -3*y + 33 = a. Let w(b) = y*b + 6*b - 13*b. Let d(o) be the third derivative of -3*o**5\/20 + 4*o**2 + 370. Determine w(d(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6459, 25738, 57889, 102912, 160807, 231574?\n\"Answer: 6436*h**2 - 29*h + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 = -0*b + 5*b, -4*b - 3*c - 7 = 0. Solve 3*h = -3*o + 2*h + 16, -b*o - 5*h = -28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 - t**3 - 3*t**2\/2 - t. Let n be y(-5). Solve 0 = -n*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48204, 48198, 48192, 48186?\nAnswer: 48180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/4 + 17*m**3\/4 + 169*m**2\/4 - 17*m\/4 - 42 = 0.\nAnswer: -7, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i + 78. Let x be l(-2). Suppose 1822 = -x*y + 56*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w + 3. Let x(l) = 38*l**2 + l - 420. Let a(k) = 2*n(k) - x(k). What is the first derivative of a(c) wrt c?\nAnswer: -72*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*f + 3426, 2*j - 3*f - 899 = 1410. What is the greatest common divisor of 37 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/25 - 499108*o\/25 - 6885786\/5 = 0.\nAnswer: -249485, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55 + 5 - (5 - 0). Let j = 57 - g. Differentiate j*l**2 + l**2 + 2*l**2 - l**2 + 43 with respect to l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 27*j - 128. Calculate a(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 + 9830*k - 29445 = 0.\nAnswer: 3, 1963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6408.54 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.75 - -0.05. Let l = -120.8129 + 121.512903. Let d = c + l. What is d rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7510 = -138*d + 2542 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 276*f + 11942. What is z(36)?\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -1.6507633384?\nAnswer: 8.6507633384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 (base 16) in base 7?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 58*s**2 - 2*s + s - 59*s**2 + (-2*s + 6*s - 2*s)*(0*s + s + s).\nAnswer: 3*s**2 - s + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 0.8, -0.05, 0.1 in descending order.\nAnswer: 11, 0.8, 0.1, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011341 to 4 dps.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 2, e: 4}. What is prob of picking 1 e and 2 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101100001100110 (base 2) in base 15?\nAnswer: -97972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 + 2*v**4 + 4 - 4)*(0*v + 0*v - 5*v).\nAnswer: -10*v**5 - 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 693\/2772*314\/(-28)*24. Let i = -67 - d. Factor -1\/7*q**4 + 2\/7*q + 0 - i*q**3 + 1\/7*q**2.\nAnswer: -q*(q - 1)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 501 - 16535\/33. Let y = b + 8\/11. Factor 0*t**2 - 4\/3*t**3 + 0*t + 4*t**5 + y*t**4 + 0.\nAnswer: 2*t**3*(2*t - 1)*(3*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 220*u + 2. Let c(g) = 6*g. What is o(c(w))?\nAnswer: -36*w**2 + 1320*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 72332\/103 and 701 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueeu when four letters picked without replacement from {u: 7, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 + 21*q + 3. Is b(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n**3 - 87407*n**2 + 87407*n**2 + (3*n - n - 4*n)*(3*n + 4*n**2 - 3*n) as d*n + v + w*n**3 + t*n**2 and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3762 (base 8) to base 2\nAnswer: 11111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3751 - 1684. Does 53 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 5:18 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1593, -3193, -4801, -6417, -8041, -9673?\n\"Answer: -4*i**2 - 1588*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236274 - -160666291\/680. What is the common denominator of 59\/92 and p?\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6032\/10400 - 2\/25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77)*-2 - sqrt(77))\/(sqrt(11) - sqrt(396)*1 - sqrt(11)))**2.\nAnswer: 343\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 48*w**2 - 2*w - 6. Determine c(-2).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18)**(23\/5)*(r*r*r**(-3\/5))\/(r**(2\/129)*r) assuming r is positive.\nAnswer: r**(53654\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206659?\nAnswer: 47, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 8. Let n be w(0). Let x be (n\/(-5) - -2)*415. Suppose 6*u - 212 = x. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/6)*(-115)\/(-69)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyymzwygwwywqgy. What is prob of sequence qwy?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 4*s**3\/3 + 7*s**2\/2 - 7*s + 1. Let c(m) = 2*m**2 + 3*m - 3. Suppose 4 - 12 = -2*a. Determine a*u(v) - 9*c(v).\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + t + 206 = 0, -5*x - t + 270 = -x. Let l = -38 + x. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b. Let k(a) = -6*a**2 + 13*a + 10. Let r(c) = -k(c) - 4*q(c). List the prime factors of r(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437 - -943136354453.\nAnswer: 943136354016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -27*s. Let j(z) = 1074*z**2 - 1. Give j(q(d)).\nAnswer: 782946*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 12:40 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*m**2 - 5*m**2 + 5*m**2)*(7 - 2 + 0)*(-4*m**2 - 3*m**2 + 8*m**2) in the form f + a*m + r*m**3 + l*m**4 + b*m**2 and give l.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47357 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - 5518\/186)*((-9)\/(-6) - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10626 and 2829?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1491705 + 1491705.7300132. Let c = a - 0.73. What is c rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 1, i: 1, x: 2, a: 2}. Give prob of picking 1 i, 1 t, 1 x, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, 174, 0, -18, -4 in descending order.\nAnswer: 174, 0, -4, -18, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -5, 3, -1, 11123 in descending order.\nAnswer: 11123, 3, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6*u - 4*k + 12, -3*k = -5*u + 20. Suppose -u*r = -7*r + 2*r. Solve -8*h + 6*h + 8 = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 92. Solve -5*t - i = -2*z - 3*z, -2*z - 10 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242700 divided by -48540\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/(-99) + 49\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456420261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 138, 304, 536?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 4, h: 1, v: 2, k: 2, c: 1}. Give prob of picking 1 s, 1 k, 1 h, and 1 v.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -365.8 plus -5.5?\nAnswer: -371.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 12:28 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 424997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 7}. What is prob of sequence vo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:39 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 3*h**2 + 1149*h + 165. What is y(-20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {e: 4, h: 6, l: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47568, 47565, 47562, 47559, 47556, 47553?\nAnswer: 47550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2171*w - 30 = -2166*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 969.6563 and -0.06.\nAnswer: -58.179378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + 646508?\nAnswer: 646522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 49. Suppose 0 = -3*d + 4*h + 45, -d + 4*h = -p - 3. Solve -11 = 4*n - d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 232*m**4 - 1 + 2*m**2 - 234*m**4 + 2*m**3 to the form y*m**4 + a*m**2 + x*m + v + z*m**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/63 + 40\/63. What is the closest to -1\/2 in 1\/2, 1\/12, c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(75) + 1) + sqrt(75))**2.\nAnswer: 60*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -1\/21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4819467 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8826 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920 is divided by 149.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*g + 0 - 5\/3*g**2 - 1\/3*g**5 + 5\/6*g**4 + 5\/2*g**3 = 0.\nAnswer: -2, -1\/2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/462)\/(6 - (-4 - -8))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q - 219. Calculate x(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m + 5. Let c(i) = 6*i + 5. Suppose -48 = -4*d + 16*d. What is d*x(k) + 3*c(k)?\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w + 18. Let d(f) = 23*f + 27. Let x(h) = -5*d(h) + 7*y(h). Is x(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3827*p**6 - 3*p**3 - 38961*p**2 wrt p.\nAnswer: -459240*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4 - -1) + 95\/19)\/(-2). Sort -22, f, 5.\nAnswer: -22, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0046181 minutes to hours.\nAnswer: 0.016743635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 n when four letters picked without replacement from vvnvvnvvvnnvvnvv?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 5, -27, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, -27, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwaw when four letters picked without replacement from awawwwwwwawawa.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {h: 11, w: 1, y: 3, t: 1, c: 3}.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(2 + 4 + sqrt(891)*-3 + -2 + -5).\nAnswer: 3 + 135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14387.73257 rounded to the nearest ten?\nAnswer: 14390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -637 + 947. Let k = 517 - f. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88\/515 + -3\/103. Let g = -9 + 8.5. Which is the closest to r? (a) 4 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 2, x: 2}. Give prob of sequence xhh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1030013?\nAnswer: -1030003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 18336.12ng?\nAnswer: 0.00000000001833612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*z + 36, -4*z - 28 + 8 = 0. Suppose 5096 = -12*p + 38*p. What is the greatest common divisor of p and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 6100000. Let j be (-68)\/(-20) + (-2)\/5. Suppose d + j*h + 15 = 0, 0 = -4*d - 5*h - 0*h - 25. Let q be p(d). Round q to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2)*c)**(-49) assuming c is positive.\nAnswer: c**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 9, -0.1, -7.7?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 299464197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Let z = -1453\/100 + -43\/25. Let x = z - -16. Which is the nearest to -1? (a) m (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719524650 divided by 10650?\nAnswer: 67561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 5. Let u be q(-14). Suppose i = 5*w - 24, 2*w + 4*i - 5 = u. Let d = 4 - 7. Put w, 2, d in descending order.\nAnswer: w, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a. Let h(b) = -8*b. Give 12*c(l) - 5*h(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**11*s**(1\/4)\/s*s assuming s is positive.\nAnswer: s**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*z = 181*z - 29574. Calculate the remainder when z is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*w + 245*w + 488*w + 692*w as u*w + f and give u.\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10. Suppose 3*o + x*o + 5 = 5*b, 4*b + 4*o - 4 = 0. Let a = -4 - b. Put -2, a, -3 in decreasing order.\nAnswer: -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*v - 7. Let d = 11 + v. What is the smallest common multiple of d and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 29, 78, 177, 344?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 7\/6, -0.1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 y when three letters picked without replacement from {t: 1, v: 2, u: 6, l: 4, y: 2, p: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 184149781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 603 and 24291801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -85, -20, 81, 224, 415, 660, 965?\nAnswer: 1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -742011\/1147 greater than or equal to -647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11484\/2574 - 12\/26?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-1790943579.9\nAnswer: -1790943576.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.7 - 12. What is the second biggest value in -0.4, -3, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - b + (2 - b - 2)*(1 + 1 - 4) + b + 0*b + b - 1 + 1 - 2*b + (-5 + 9 - 1)*(14*b + 8*b - 18*b - 1).\nAnswer: 13*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 12)*(-1)\/22. Let g = 2.2 - 0.2. Let q = -3 + g. Which is the biggest value? (a) q (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 11. Let s be a(19). Suppose -s*h = -4*h - 18516. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-72) - (-33)\/(-24). Let l(b) = 2*b - 1. Let d(v) = -36*v - 30. Let q(k) = x*d(k) - 36*l(k). Find the first derivative of q(z) wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/58500 and 101\/14990.\nAnswer: 87691500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Suppose v*k - 3*k = -3. Which is greater: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232412 divided by 4?\nAnswer: -58103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41882*z**3 + 5*z**2 - 5*z + 5881494 with respect to z.\nAnswer: 125646*z**2 + 10*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1. Let i(f) = 9*f**3 - 8. Let w(h) = 5*d(h) + i(h). What is the derivative of w(q) wrt q?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86889 and 0.2.\nAnswer: -17377.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.0927kg?\nAnswer: 7092700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*j**4 - 2\/9*j - 2\/3*j**3 + 0 - 2\/3*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27076863?\nAnswer: 3, 11, 61, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(5*v - 5 + 5) + 4*v - 3*v - 2*v + 5*v - v - 2*v - 1.\nAnswer: 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17384998 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068*k + 29 = 21*q + 2067*k, -15 = 2*k + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465438?\nAnswer: 2, 3, 77573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-30)\/(-14) - 7). Which is the closest to t? (a) -1\/3 (b) -0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.978 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/11 - 320\/(-1155). Sort -0.3, -4, 1\/4, k.\nAnswer: -4, -0.3, k, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzwzzzrzrwzrrzzz. What is prob of sequence zww?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeo. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*y - 3. Differentiate 26*c**4 - 7*c**y - 7*c**4 - 4 with respect to c.\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 11 - 3\/5*x**5 - 12*x + 0*x**3 + 0*x**4 + 0*x**2. What is the first derivative of p(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-38)\/354 + 1. Let n = w + 38365\/1239. Let i = n - 4269\/154. Calculate the common denominator of 57\/10 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by -16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.063524 times 0.1\nAnswer: -0.0063524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y + 2*u - 10, 9 = 3*y + u. Suppose 5 = y*w - 3. Suppose -3*r = w*h - 50, -r - 16 = 4*h - 5*h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*p - 3*p + 5*u, -u = 4*p - 10. Find the third derivative of -3*b**2 - b**2 + 0*b**p + 2*b**5 + b**5 wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**4\/24 + 14*d**3\/3 - 15163*d**2. What is w(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 80*w - 1383. Let u be j(50). Solve -u*q + 182 = -26*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -307, -388, -307, -64?\n\"Answer: 81*g**2 - 324*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.94399 rounded to the nearest integer?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 9, d: 2, z: 2}. What is prob of sequence zi?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3470 + 3514.7168. Let r = n - 51.72. Let a = r - -7. What is a rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -2\/19, 0, -3\/4, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/(-15)*15*(-18)\/(-45). Suppose -461 = -5*w - 6. What is the greatest common divisor of w and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by 2?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 796 + 425. Let y(t) = -11*t**2 + 73*t - 306. Let v be y(4). Let c = h + v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Let d(o) = -6*o**2 + 6*o. Let n(r) = -r**2 + 2*r. Let g(t) = -6*d(t) + 18*n(t). Calculate g(u(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13281?\nAnswer: 3, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(30)\/sqrt(6))**2 - (-1 + 3 + sqrt(5))**2) + -3*(-4 + 3 + sqrt(125) + sqrt(125))**2.\nAnswer: -1542 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -4 (c) -1 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, y: 1, p: 7}. What is prob of sequence pg?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*t\/t**(-1\/8)*t**(-1\/2)\/(t\/(t\/t**8)) assuming t is positive.\nAnswer: t**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 4*w**2 + 4*w + 1. Let a(j) be the second derivative of -3*j**5\/10 + 11*j**4\/12 - 11*j**3\/6 - j**2 - 21*j. Calculate -4*a(o) - 11*b(o).\nAnswer: 2*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**2 + 5*m + 8. Let z be v(6). Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101010110110011001001101 + 0?\nAnswer: 10101010110110011001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/104720 and -9\/19040?\nAnswer: 209440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (5 - 12) - (47 + -35).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t**2 + 8*t + 6. Does 32 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.2883 weeks to seconds.\nAnswer: 353982363.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631380 is divided by 510.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273 - -272. Let t = -8 + -2. Which is bigger: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -136, -148, -164, -184, -208, -236?\n\"Answer: -2*k**2 - 6*k - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -357.2 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8697 is divided by 2601.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4, 0, 0.2, 0.122 in ascending order.\nAnswer: -4, 0, 0.122, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1411 divided by 4263\nAnswer: 1411\/4263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9228?\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3184 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*n**3 + 5 - 69*n**3 - 5 - 543*n**3.\nAnswer: -479*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 74 = -5*a + 9*l, -3*l - 48 = -3*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Suppose -2*n - 2 = -3*n. Let q(g) = -7*g + g + n*g - 3*g. Determine b(q(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)\/(p**(1\/8)*p)*(p\/p**(-1)*p)**45 assuming p is positive.\nAnswer: p**(1055\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 12*t**2 - 19*t - 14. Let y be l(10). Suppose 4*i + 12 = -b - 4*b, 0 = -3*b + 2*i + 6. Sort 1, y, b, -3.\nAnswer: y, -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9935.944 milligrams?\nAnswer: 0.009935944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -2. Let a = z - -4.6. Let p = a + 0.372. What is p rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4 + 3 + 2*m - 8. Suppose 4*s + 2*i - 22 = 0, 5*i - 12 = 2*s - 5. Let r(c) = 3*c - 1. What is s*r(v) - 5*o(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244 - -4112?\nAnswer: 3646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/9 + 20*r**2\/9 + 8*r\/3 - 16 = 0. Calculate r.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 1295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 27 = -3*o. Let m = o - -67. Let t(x) be the first derivative of -x**4\/2 - x**3 - x**2\/2 + 2*x - 1. Give t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 12. Let g(m) = -4. Let k(b) = 12*g(b) + 4*j(b). Let d(n) be the third derivative of n**4\/24 - 2*n**2. Give k(d(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a = -74*a - 4*i + 10, -4*a - 5*i + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17*f - 85. Let y(p) = -1. Calculate g(b) - 85*y(b).\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**3 + 7*f**3 + 7*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/51)\/(2\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a + 562 + 228 = 30 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -422 + 425. Let c(p) be the third derivative of 1\/4*p**4 + 0 - 1\/20*p**6 + 0*p**5 - 1\/2*p**g + p**2 + 0*p + 1\/70*p**7. Factor c(f).\nAnswer: 3*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 610 - -1047. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (4 + -12) - (6 + -8 + 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-4 - 0) + 5. Let x(d) = d**2 - 2*d + 2. Let t be x(2). Let v be p + t + (-4)\/1. Put v, -5, 0 in decreasing order.\nAnswer: v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95697 and 667233.\nAnswer: 144789561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 - 16898*s + 118351. What is l(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/18084*14\/35.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 2*k + 3*k, 5*t = k - 2. Solve t = l - 3*g + 7, 0*g = 5*l + g + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/2 + 178*z**4 - 179*z**3 - 178*z**2 + 357*z\/2 = 0.\nAnswer: -357, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -305000 and -304999 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 + 9*l - 26. Let k be j(5). What is the highest common divisor of 133 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j - 5*t + 87 = 0, -2*t - 66 = 3*j. Let z = j + 67. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**2 + 8*z - 8. Let b = -2 - -6. Let p(m) = 3*m**2 + 3*m - 3. Let x(g) = b*i(g) - 11*p(g). Calculate x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1866936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 - 89. What is the highest common factor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 106*t**3\/3 - 164*t + 221. Find the first derivative of h(d) wrt d.\nAnswer: 212*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4277)\/235 - -13)*(6 - 2 - (-21)\/6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 13. Suppose 2*m - 14 = -2*h, -21 = -3*h - 4*m + 2*m. Let r be d(h). Is r less than 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 96760560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22074600 rounded to the nearest ten thousand?\nAnswer: 22070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 4. Let p be d(-7). Let i be (p - 19\/(-5))*-10. Let u(l) = -4*l - 19. Let s be u(i). Which is bigger: 12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35360212634 + 28.\nAnswer: 35360212662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**5 + 39*q**4 + 54*q**3 - 372*q**2 - 408*q + 288 = 0 for q.\nAnswer: -2, 1\/2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1076 less than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g + 9. Suppose 3*a + s = -s + 20, 20 = 2*a + g*s. Suppose 45592 = -a*c + 125592. Round c to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16436*u + 1364 = -16392*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 9, 13, 17, 21?\n\"Answer: 4*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-17)*(-3 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106125*m**2 - 412908 with respect to m.\nAnswer: -212250*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -7, -21, -4, -2 in ascending order.\nAnswer: -21, -7, -4, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-9))\/((-32130)\/(-44982))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.7, 5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10954184, 21908348, 32862512, 43816676, 54770840?\nAnswer: 65725004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + j**2 - 256833*j**4 - 2*j**3 - 3 + 256834*j**4 + 3*j**3 as h + l*j**4 + k*j**3 + c*j + g*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 6*y**2 - 4. Let u(b) = -b**3 + 6*b**2 + 5. Let m(d) = 4*u(d) + 3*w(d). What is m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 5, o: 7, n: 5}. Give prob of sequence uo.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -242621 divided by -53?\nAnswer: 242621\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 1 + 1 + (1 - 1 - 2*c)*(-3*c + 2*c + 2*c) - 2*c + 2*c - c**2 - 2*c - 2*c**2 + 0*c + 5*c**2.\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586517437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 33, 56, 91, 144, 221, 328?\n\"Answer: q**3 - 3*q**2 + 19*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 - 2344*d**2\/9 - 9187910*d\/9 - 4912859828\/9.\nAnswer: 2*(d - 2986)*(d + 907)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 2*w - 19, -w - w + 1672 = 184*v + 2*w - 0*w for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-480))\/((-3)\/(-20))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11194 + 11201.003. Let k = 17 - 24. Let u = o + k. Round u to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 39311260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12987129 to the power of 1\/2, to the nearest integer?\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + 591\/12. Let c = k - -130. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u + 3*z, -5*u - 5*z - 39 = -3*u. Let v be (-7 - u) + 6\/14. What is the third smallest value in v, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/3109 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205 and 11726?\nAnswer: 58630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 2, 107118, -0.05 in descending order.\nAnswer: 107118, 2, -0.05, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.48? (a) -2\/3 (b) -190 (c) -0.01 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*u + 12*u - 22*u + (0*u - u + 0*u)*(1 - 2 + 3))*(-2*u**3 + 2 - 2) to k + v*u**3 + s*u**4 + i*u**2 + r*u and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 3*w**2 - 3*w + 4. Let a be n(3). Let h be (3\/(-6))\/((-1)\/a). Let l be (h\/(-10))\/(2\/5). Sort 2, l, 3 in descending order.\nAnswer: l, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 14.42, 0, 74, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 320 and 0.2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4202 - 4082. Calculate the greatest common divisor of y and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 5. Let x(r) = -r + 1. Let n be (1 + -2)*5*1. Let a(i) = n*x(i) + g(i). Let c(j) = 9*j**2. What is a(c(v))?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v*v*(v\/(v\/(v\/(v*v*v*v*v**(-6)*v*v))))\/v*v))\/v)*v)\/v)**46*(v\/v**(-4\/5))\/v**(-1\/22) assuming v is positive.\nAnswer: v**(25503\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5473999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2408)\/(-112) + -26)\/((-21)\/8 - -3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 - 5*f**2*o**2 - 2*f**2*o - 91*f**2 - 33*f*o**2 + f + o**2 - 10 wrt f.\nAnswer: -24*f**2 - 10*o**2 - 4*o - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 33758736*p + 168793680. Calculate o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 50.9. Which is the second smallest value? (a) -1\/3 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2774898\/6427 - 84345467801\/164563335. Let b = -2423\/1138 - l. Let q = b + -398\/5. Find the common denominator of q and 23\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7141432 is divided by 120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 33\/16 (b) 4 (c) -25 (d) 1\/3 (e) 0 (f) 1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33430178*k + 36 = 2*z - 33430162*k, -4*z + 38 = -2*k for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 8:52 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1342 - -116c?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -108278, -216632, -324986, -433340, -541694, -650048?\n\"Answer: -108354*v + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14605?\nAnswer: 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - -137. Let h = y - 69. Let w = 114.99889 - h. Round w to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290142 * 765\nAnswer: 221958630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -954 - 996 + 9*k + 2896 - 989. Let f(o) = -5*o + 22. Calculate 5*f(b) + 3*s(b).\nAnswer: 2*b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 2, l: 7, w: 2, j: 2, p: 1}. Give prob of sequence xjjx.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 37 = 4*p, -6*r + 2*r - 16 = -2*p. Find the third derivative of -102*w + 10*w**3 + 102*w - 2 - p*w**2 wrt w.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i + 19*i + 5. Suppose 0 = -i*f - 0*f + 20. Suppose -z - 4 = -f*o, -3*z + z = 5*o - 18. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*d + 116*d + 119*d + 118*d + 123*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 1438 + 1510 - 2889 - 3*m**2 - m to the form s*m**3 + w + k*m**2 + c*m and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -3 - -16 - 0. Suppose 11*z - q = 8*z. Suppose p - z = -p. Solve -4*f = -0*i + 5*i - 14, -p*i = -f - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 380 (b) -1\/35053 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 2*k, 4*k - 7 = -6*l + l. Suppose 3*c + 24 = l*r, -c - 2 = -2*r + 10. Let s = c - -10. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.96 + -508.96. Let y = t + 499.7. Let g = -4 - 1. Which is the fourth biggest value? (a) g (b) -4 (c) y (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -4, 80, 2 in decreasing order.\nAnswer: 80, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13*t - 40 = 0. Sort 3, -4, t, 0 in ascending order.\nAnswer: t, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 197*j\/2 + 1448.\nAnswer: (j - 181)*(j - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -j - j. Let u = 0 + j. Suppose -u*w + 7*w = 96. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t + 7 + 0 - 1 + 11 - 19.\nAnswer: -38*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/7 + 26*v**3\/7 - 169*v**2\/7.\nAnswer: -v**2*(v - 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 160, 161, 162, 163, 164?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -856\/13 + 66. Suppose 2*j - 16 + 4 = -2*u, 4*u = -5*j + 28. Which is the biggest value? (a) 3\/2 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45132 + -16247363\/360. Calculate the common denominator of -94\/405 and t.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249510, 249580, 249650, 249720?\nAnswer: 249790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3789230?\nAnswer: 2, 5, 167, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 + 6*y**3 + 2*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10081*a**5 - 3*a**4 + 3*a**4 - 10052*a - 698*a + 2065*a wrt a?\nAnswer: -201620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 3*w**3 + 2*w)*(14 - 5 + 5)*(35 + 11 + 130)*(0 + 1 + 5 - 8) to z*w**2 + o + g*w**3 + t*w and give g.\nAnswer: -14784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, u: 1, f: 1, c: 3, w: 2, o: 1}. What is prob of picking 1 f and 1 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 704559304 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -894.000148 - -894. What is o rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080\/(-189)*(-37303)\/1460?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27342 less than 4319935\/158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225 + 243. Suppose -b*i = -15*i - 6. Solve -5*d = -2*g + 13, 3*g = -2*d + i*g + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -232976*y**2 + 2*y + 74. Let n be q(11). What is n rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -222*n. Let u(b) be the third derivative of -b**4\/24 + 26*b**2 + 2*b. Give y(u(x)).\nAnswer: 222*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - y + 5*y**3 - 6 + 20*y**4 + 6*y**4 - 26*y**4 + 2*y**4 as a + u*y**3 + g*y**4 + v*y**2 + j*y and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 258*d + 3. Let x(o) = 259*o + 4. Let w = 29 - 33. Let j(r) = w*x(r) + 5*m(r). Is j(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, h: 2, i: 1}. What is prob of picking 2 k and 1 h?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 10. Let x be s(6). Let k be ((-34)\/x)\/((-9)\/18). Let b(v) = 68*v. Let l be b(2). Calculate the greatest common divisor of k and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/5)*d)**(6\/37))**(1\/3)*((d**(-3\/2))**(-46))**(-6) assuming d is positive.\nAnswer: d**(-76574\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4 + 24. Let f be (-19)\/a + (-1)\/(-4). Let h be (2\/(-1) + 0)*-2. Solve -l = f, -7*l - 24 = -h*p - 3*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 2:23 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -87192 (base 12) to base 15\nAnswer: -37c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 4829?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(sqrt(88) - sqrt(88)*-1))\/(sqrt(40)\/(sqrt(20) + -3*sqrt(20))).\nAnswer: 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260916 by -15348.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 2, a: 7, w: 5}. Give prob of picking 2 w.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeoobuyb. Give prob of picking 1 u and 3 o.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 159 + -20797.3\nAnswer: -20638.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - (7 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15183 - 15126. Sort y, -0.2, 0, 17 in descending order.\nAnswer: y, 17, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.137525742?\nAnswer: -0.0137525742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4*y - 6)*(0*y + 0*y - 3*y**2) + 2*y**3 - 3*y**3 + 4*y**3 + (3 - 3 - y)*(-3*y**2 + y**2 + 3*y**2).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 712127130 and 22374?\nAnswer: 7458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70497*n**2 - 350*n**5 + 69785*n**2 - 311*n**5 wrt n.\nAnswer: -39660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 3, d: 5, r: 2}. Give prob of sequence fkrf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 334, 1030, 2422, 4750, 8254, 13174, 19750?\nAnswer: 28222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*1*sqrt(432).\nAnswer: 2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 371737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b*h**3 + b*h**2*s - 2552*b*h + 7*b*s**2 - 149*h**3*s**2 wrt s?\nAnswer: b*h**2 + 14*b*s - 298*h**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-32))\/((-1598)\/96*402\/(-670) - 10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n + 8 + 2 + 5 - 4 in the form v + d*n and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -2845*o**8\/336 + o**5\/12 + 947*o**4\/24 + 5*o**2 - 5*o + 1. What is the third derivative of t(p) wrt p?\nAnswer: -170700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -3 (c) 718\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*k = -794 - 428 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -769 + 770. Suppose -4*l = -7 + 3. What is the nearest to l in z, 6, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -1*(((0 + sqrt(1331))*-4 - (1 + sqrt(1331) + 0 + sqrt(1331) - sqrt(1331))) + -2)**2 + -3).\nAnswer: -199752 - 1980*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 23 = -50 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33470462 - -9539062558\/285. Let o = z - 616\/57. Let u = -78 - o. Which is the smallest value? (a) 0 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210210 - 10?\nAnswer: -10210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*n + 140, 4*l + 5*n + 112 = 3*n. Let u = l - -33. Suppose -u*r + 119 = -131. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i - 4*i**2 - i**2 - 14*i. Suppose 0 = 3*f - 2*f - 4*b + 6, -4*f + 18 = 5*b. Let w(k) = -f*k + 0*k + k. Calculate r(w(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 130 + 475 = 0. Let c be b\/5 + 8\/20. Which is greater: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 77 - 48. Is q < 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -627 in -3, 17, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-15)\/((-1500)\/10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)*-1 - -3. Suppose 0 = y*o - 4*f + 12, 0*o + 4*f = -2*o + 4. What is the biggest value in o, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 0.2. Suppose -3*h - 10 = 5. Let w be (h\/(-3) + -2)*2. Which is greater: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**6 + 4*g**5*o + 82*g**3*o - 403*g**2*o wrt g?\nAnswer: -120*g**3 + 240*g**2*o + 492*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/16 of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21739 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + 463*c**2\/4 + 1831*c\/4 - 2295\/4.\nAnswer: (c - 1)*(c + 5)*(c + 459)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 46, -3*j + 27 = 8*k - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1310*c. Let z(m) = 11720*m**2. What is r(z(u))?\nAnswer: 15353200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1048.9664 + -1.\nAnswer: -1049.9664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, -1610, -4744, -9132, -14774?\nAnswer: -21670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j - 15*j + 6*j)*(8*j**4 - j**4 + 2*j**4).\nAnswer: -342*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = 102*r - 2*r - 111 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 v when three letters picked without replacement from {q: 2, e: 3, r: 6, v: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 5. Let p be z(3). What is the third derivative of -3*u**5 + p*u**2 + 13*u**5 - 11*u**5 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdod when four letters picked without replacement from doococccodh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let l(s) = -78*s. What is l(b(z))?\nAnswer: -78*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0*f - 2*f + 1 - 4*f + 5*f. Let s be w(-10). Solve 2*n - s = -5*t + n, 0 = 5*t - n - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*p - 5*p + 9*p)*(32 - 140 - 61 - 147) in the form c*p + u and give c.\nAnswer: -4740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -30, -54, -82?\n\"Answer: -2*l**2 - 14*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 + 21*i**2 + (-3*i + 0 + 0)*(0*i + 0*i + i) + 0*i + 0*i - i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/12 and 2 + -4 + (-4098)\/(-2232).\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/3*(-7)\/3. Let n(l) be the first derivative of l**2\/2 - 5*l - 2. Let p be n(a). Which is smaller: 3\/4 or p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 8734 + 8734.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434475?\nAnswer: 5, 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 4*b + 2*b - 2*b + 2*b + (4*b + 0*b - 6*b)*(1 + 0 + 1) + 0*b - 5*b - 2*b + 4*b - 5*b - b as k + n*b and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 13*v - 21. Let x(d) = 3*d**3 - 4*d - 2 + 3*d**v - 7*d**2 - 5*d**3. Calculate x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 493*j**3 - 110*j**3 + 511*j**2 - 4*j + 4*j wrt j.\nAnswer: 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 673600\nAnswer: 3\/134720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36740 or -1178?\nAnswer: -1178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 20 = 6. Suppose 0 = 5*a - 59 - m. Let i(j) = 31*j - 6. Let c(f) = -92*f + 19. Let q(s) = a*i(s) + 6*c(s). Differentiate q(v) with respect to v.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788550121.\nAnswer: 788550121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + f = 1, -2*f - 14 = -2*v - 0*f. Suppose -236 = -9*t + 8*t - 2*u, -u = t - 237. Suppose z = 3*m - 193, 5*m + v*z = 80 + t. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + (-28)\/(-6))*3. Is -2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-18))\/1*(-2)\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1049*j - 6291. Determine g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/4 - -9\/4. Put -2\/9, s, -0.1 in ascending order.\nAnswer: s, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*d - 26. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2176 and 158432.\nAnswer: 10773376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) - (sqrt(343) + 0)*2) - (sqrt(343) + 0 + sqrt(343) + 3 + sqrt(343)))**2.\nAnswer: 42*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from vypippc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131187676 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l. Let t(o) = o**3 - 4*o**2 + 2*o + 1. Let q be t(4). Let n(b) = -q*b**2 + 10*b**2 + b**2. Give n(j(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*p. Suppose -h = m - 3, p = 2*h + h + 2*m - 8. Solve 0 = 5*n - h*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135605153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1470, 1527, 1584, 1641, 1698, 1755?\n\"Answer: 57*u + 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((88665\/(-8150))\/23)\/((-178)\/(-8)). Let x = n + 4\/445. Which is smaller: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37366585, -74733180, -112099787, -149466412, -186833061, -224199740?\n\"Answer: -i**3 - 37366588*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose -p*m + 0*v = -4*v - 41, -5*v - 15 = m. Solve -2*c + 5*q = 6 + 2, 0 = -m*c + q - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -4\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 25 - 10 + 2*k**2 - 15. Let t(y) = -109*y. Calculate t(r(w)).\nAnswer: -218*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 4)*21\/7. Let w be 15 - 7 - (-1 - k)*2. Let p = 2 + -3. Sort 2, -3, p, w in decreasing order.\nAnswer: w, 2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 10:56 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11110011 (base 2) to base 14\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144511667959 + -0.8.\nAnswer: -144511667959.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -124*p**7\/35 - 2651*p**5\/60 - p**4\/12 - 142*p**2 + 5*p + 3. What is the third derivative of v(m) wrt m?\nAnswer: -17856*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 51587?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 210678123*d**3 + 32877315*d**2?\nAnswer: -48*d - 1264068738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1445 (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - -7)\/(-3 - -2). Let j(y) = y - 3. Give j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -19. What is the units digit of (-3)\/6 + i\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5313 and 76776?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = y, -5*y + i - 7 + 20 = 0. Solve 2*m = 2*o - 10, y = o + o + 2*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387*n**2 + 422*n**2 - 150*n**2 + 439*n - 94*n**5 - 439*n wrt n?\nAnswer: -5640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 1680, 3790, 6754, 10578, 15268, 20830?\nAnswer: 27270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12691, -50736, -114143, -202912, -317043, -456536?\n\"Answer: -12681*n**2 - 2*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184529?\nAnswer: 23, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 - 142. Let z be 11 - (a\/10 - 24\/(-40)). Calculate the greatest common divisor of 99 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/3))\/(h\/(h**6\/h))*h**(1\/8)\/h*h**24 assuming h is positive.\nAnswer: h**(691\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 262, 360, 468, 592, 738, 912, 1120, 1368?\n\"Answer: t**3 - t**2 + 94*t + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugk when three letters picked without replacement from ukvug?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2279 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/(sqrt(10) - (sqrt(90)*-1)\/sqrt(9)))\/((sqrt(1728)*2)\/sqrt(3)).\nAnswer: sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 1538 + 4623 - 1542 - 1543 - 4*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -146, -87, -28?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1ff793?\nAnswer: -1ff791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - -161?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 100422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 188, 298, 424, 572?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.5 + 78.5. Let h = -73.99999947 + p. Round h to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-7 + 14 - -22)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -177023, -354049, -531075?\n\"Answer: -177026*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8416 or -14676?\nAnswer: -8416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*x = 74*x + 1792 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/91572 and 17\/806?\nAnswer: 2838732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.003, 0.9, -2, 3, 12?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3510 and 5265.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 10. Determine j(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 132928 (b) 1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.7 and 8?\nAnswer: -189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u*u**(-2\/17)*u*u*u\/(u**(-2)*u)*u*u*u\/(u\/(u*u*((u*u*u*u**(2\/13))\/u)\/u*u)))\/((u**(-1)\/u)\/u**(3\/2))**(-12\/5) assuming u is positive.\nAnswer: u**(-2612\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/10 - -2)*-10. Let d be ((-6)\/(-4))\/((-2)\/(-4)). Let a be d + (-4)\/1*-1. Solve a*n - l*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from arswrwlrr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 1617821975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 2*j**2 + j - 1. Let h be (30\/(-9))\/((-2)\/6). Suppose -4*k - k = h. Let r(l) = 2*l**2 + 4*l + 3. Let u be r(k). Determine w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (12\/6)\/((-6)\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705583195 divided by 1?\nAnswer: 705583195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 94.20327 centimeters?\nAnswer: 0.9420327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122534 + -493257\/4. Let l = -27869\/36 - g. Find the common denominator of l and (-4)\/(-10) - (-374)\/290.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 17. Let o(n) = -3*n - 30. Let j be o(-10). Let a(y) = j*y - 1 + 2*y + 1 - 7. What is a(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, 2, 15?\n\"Answer: 13*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 9, h: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**2*y**3 + 13*x**2 - 17*x*y**3 - 8*x*y + y**3 + y**2 wrt y.\nAnswer: -12*x**2 - 102*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 160 in -0.2, -3, -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/7 + 52*g**3\/7 + 24*g**2 + 172*g\/7 + 58\/7 = 0. What is g?\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from vvmvzmtzt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003322183 to 7 dps.\nAnswer: 0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16021 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, g: 5, z: 5}. Give prob of picking 4 g.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*(1 + sqrt(176)) + sqrt(176))**2 - 1*(0 + sqrt(176) + -2))*3.\nAnswer: 996*sqrt(11) + 25980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*v + 15, -v = -3*n + 2*v + 9. Suppose 0 = -2*x - n*x + 8. Let l(q) = 7 - q**2 - q - 3*q**3 + x*q**3 - 3. Calculate l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let y be t(0). Suppose y*z = -4*z. Suppose h = 5*m + 8, -3*h - 3*m - m - 33 = z. Which is smaller: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6115301?\nAnswer: 71, 86131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*l**2*w - 2*k**3*w**2 + 3*k**3 - 3*l**2*w + 26*l**2 wrt w.\nAnswer: k**3*l**2 - 4*k**3*w - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -0.5, -1, 0.04, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 3*s + 7. Let l be o(-7). Let x = l - -32. Let i = 44 + x. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 10*l + 2. Suppose -2*z + 22 = -4*z + 2*b, -2*b = -2. Let t be i(z). Suppose -t*v + 210 = 3*v. What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 44*l**2 - 88*l - 149. Let w be d(46). Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 4:28 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5206 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + h)*(3*h + h - 2*h) + 2*h**2 + 3*h**2 - 7*h**2 - h**2 - 3*h + 3*h + 3*h**2 - 5*h**2 + h**2 + (-210 - 21*h + 210)*(2*h + 1 - 1).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.7. Let j(w) = 7*w**2 - 49*w - 2. Let y be j(7). Which is greater: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.05 - 6. Let q = d + -2.05. Let j = q + 2.4. Which is the second smallest value? (a) -0.3 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 7 - 37*q**3 + 0*q**3 - 3*q**3 - q**4 + q**2 + 23*q**3 as g*q**4 + c + s*q**3 + l*q + h*q**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1063.\nAnswer: 212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69739.177 - -69776. Let q = k + 0.877. Round q to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 - 42. Let r = 31 - x. Factor -14\/3*a**5 + 0*a**r + 0 + 0*a - 4\/3*a**4 + 0*a**3.\nAnswer: -2*a**4*(7*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -2 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 i when three letters picked without replacement from iqihihhhkiqiliki.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 34. Let i(c) = 4176*c + 6. Let q be i(t). Let a = 467441\/28 + q. Calculate the common denominator of -19\/20 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 2970?\nAnswer: -2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 - 12 = 0. Let b(m) = -m**3 - m**2 - 2*m + 1. Let n be b(-2). Let a be n + -1*(0 - -3). Solve -3*r + 12 = g - a*g, 0 = -t*r - 4*g - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 5 - 5)*(-7 - r**2 + 7 + (-3*r + r + 3*r)*(4*r + r - 6*r) + 2*r**2 - 8*r**2 + 0*r**2) to the form v*r**2 + w*r + d*r**3 + i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 17*p - 8*p. What is the common denominator of -85\/8 and -11 + 1620\/208 - (p - 5)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1088 and 34.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-20*(-1885)\/10400.\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0325 in -2\/21, -5, -87?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 3. Let s be y(-2). Let x(d) = -13*d**3 - d**2 + 2*d - 1. Calculate x(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1))\/p**(-14))\/(p\/p**(-1\/4)*p**(-3\/19)*p))**(-23) assuming p is positive.\nAnswer: p**(-20815\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931617889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 3, o: 2, u: 3, p: 7, g: 1}. What is prob of picking 2 e?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {j: 4, a: 2, n: 6, o: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1042*d - 5202. Determine h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*q + 1, -5*q + 1 = 2*y - 10*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 1\/2*u**3 + 1\/6*u**4 + 0 + 175*u**2 - 1\/60*u**5 + 0*u. Calculate w(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1028*n**5 + 303*n**2 - 1739813*n + 1 wrt n.\nAnswer: 20560*n**3 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -34*y**4 - 422*y**2 + 38*y**4 + 390*y**2 + 28*y**3 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, -4.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n, 65*f - 28*f - 30 = 32*f + 7*n - 3*n - 2*n for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10 and -58\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*m**2 + 14*m**2 + 25*m**2 to u + g*m**2 + n*m and give g.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(352)\/((sqrt(128)\/sqrt(4))\/sqrt(4)) - (-1 + sqrt(1584) + 0 + -4)) + 5.\nAnswer: -10*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and -859546?\nAnswer: 859555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/3 - -1 - -2. Let d = -0.04 + 0.34. Put 1, d, u in decreasing order.\nAnswer: 1, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.262982l to millilitres.\nAnswer: 5262.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(81*x**2 - 626 + 626)*(3*x + 4*x - 3*x).\nAnswer: 324*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-7 - -11)) + 17\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 + 4675*b**3 - 1076265*b**2 - 7736175*b - 6655230 = 0 for b.\nAnswer: -6, -1, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514599064?\nAnswer: 2, 7, 9189269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 + 22*t + 36 = 0. What is t?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.09 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 24. Suppose -3*l - k = -64. Calculate the smallest common multiple of l and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 381736*s**2 + 461*s - 460. Is j(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 5*q - 5*j, 3*q + 0*j + 5*j = 208. Suppose 5*a = -q + 771. What are the prime factors of a?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(60\/(-144) + (-1)\/(-6)). Which is bigger: 2\/31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -9\/2, 1, -3\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 588\/341?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 5*n - 5. Give u(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 1 - 7. Let u be -4 - (-2)\/(p - 4). Sort -1, u, -2.\nAnswer: u, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*o = -12, o + 8 = 3. Let u be -3 + 26\/6 - k\/12. Let g be (0 - 32\/(-6))*3. Calculate the highest common divisor of u and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 2105334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/5)\/2)\/(162\/405)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40014 by 39608.\nAnswer: -20007\/19804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 56a7 (base 12) to base 8\nAnswer: 22637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166131281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (6\/(-12) - 170\/4). What is the derivative of 44 - l*q**3 - 57*q**3 + 45*q**3 wrt q?\nAnswer: -174*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1679101552 to 3 dps.\nAnswer: -0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/12 + 5*s**4\/24 - 83*s**3\/3 + s**2 - 35. What is the first derivative of r(d) wrt d?\nAnswer: 10*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(88)\/sqrt(2).\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/419400 and -19\/1300.\nAnswer: 5452200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 1919.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 0*h)*(3*h + 0*h + h) + (0 - 5 + 6)*(20 - 77 - 42)*(-2*h**2 - h**2 - h**2).\nAnswer: 388*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/9 - 10*v**4\/3 + 134*v**3\/9 - 18*v**2 - 136*v\/9 + 64\/3 = 0.\nAnswer: -1, 1, 3, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - -2 - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/7 + 45*b**4\/7 - 482*b**3\/7 - 82*b**2 + 69*b + 529\/7 = 0. What is b?\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 25780636*k**3 + 20*k - 25780638*k**3 + 8*k**4 - 2*k**2 + 4*k**2 + 3*k**4 as j*k**2 + h*k**4 + s*k + g + w*k**3 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13005.88 millilitres?\nAnswer: 13.00588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**42*g**(-3)*g*(g**(1\/17))**(5\/9) assuming g is positive.\nAnswer: g**(6125\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2276528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13 - -21)\/120)\/((-1)\/5). Sort -0.08, k, 51 in ascending order.\nAnswer: k, -0.08, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -420802, 6, -11.\nAnswer: -420802, -11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6517, -13601, -20685, -27769, -34853?\n\"Answer: -7084*x + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - o - 21. Suppose -3*y = 4*b + 1, -4*y + 7*b = 8*b - 16. Is q(y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005208735781 rounded to 5 dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 5*s + 6*s + (3 - 2 + 0)*(s + s + 0*s) + 3*s - s + 0*s + 0*s - s + 3*s)*(-s**2 + 10*s**2 + 3*s**2).\nAnswer: 84*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76 + -170b9?\nAnswer: -17173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5314.948 meters to centimeters.\nAnswer: 531494.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.7 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42110101 is divided by 355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 140 = 120 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - (0 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -19*l**2 + 3328*l + 15*l**2 + 28 - 3321*l. Determine u(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 4*z + 4*z. Let v(w) = -9*w. Determine h(v(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 6. Let l(n) = -2*n + 12. Let a(g) = -2*g. Let m be a(-2). Let j(d) = m*l(d) + 9*c(d). Give j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 47*d**2 + 1107*d - 1109. Give o(64).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 6) to base 12\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -86, -111, -140, -167, -186, -191, -176?\n\"Answer: w**3 - 11*w**2 + 11*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8231.\nAnswer: 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 1.2004.\nAnswer: 5.2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9731521.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - 2*d)*(-d + d - d) + (2 - 1 + 1)*(5*d**2 - 2 + 2) - 4 + 4 - 4*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*((1 - 5 + 2)*(2 - 5 + 5) + 2 - 3 - 1 + 0 - 3 + 4)*(-4 + 47*c**2 - 78*c**2 + 39*c**2) as t*c + s*c**2 + j and give s.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/13)\/(q*q**(-29))*q**28\/q*q**(24\/7) assuming q is positive.\nAnswer: q**(5310\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r - 8. Let v(o) = -o**3 - o**2 + 9*o - 4. Let f be v(0). Sort r, 5, f in decreasing order.\nAnswer: 5, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7081 and 4171.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + 13732802543.331.\nAnswer: 13732802534.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 2*z + 448, -5*k = -2*z - 748. Suppose -8*n + 2912 = 864. Suppose 2*g - 4*s - k = 0, -4*g + 0*s + n = 3*s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4251986*i**3 - 4251982*i**3 + 8503964*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 13 - 8 - 6*i + 2*i. Let z(n) = -6*n + 4. Let l(x) = 5*r(x) - 6*z(x). Let s(a) = -6*a - 3. Determine 5*l(q) + s(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 6*n + 31*n - 9950. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:37 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + a8?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -9*g + 3*f + 6, -2*f = -3*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/8 - 2)*(1 + 119). Suppose 0 = -5*j + 8*j - d. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -13\/3 (c) -21\/8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 6*c - 2. Let y be (-102)\/(-27) + (-21 - (-2674)\/126) + -5. Let s(q) = q**3 + q + 1. Suppose 4*o - 8*o = 16. Determine o*s(u) + y*z(u).\nAnswer: -u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y*y*y**(-6))\/((y\/(y*(y\/((y**(-15)*y)\/y))\/y))\/y**(9\/4)))**5 assuming y is positive.\nAnswer: y**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is -271 bigger than -23116\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88068168319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*2)\/sqrt(9) - (sqrt(66) + 5*(-2*sqrt(66) + sqrt(66)))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195 - 2288342.438.\nAnswer: -2288147.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-135)*(-15)\/6*(-198)\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 394\/3*w**2 - 239\/3*w**3 + 44\/3*w**4 - 229\/3*w + 10 = 0.\nAnswer: 2\/11, 1, 5\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664 and 4897?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*h = -498, 4*w + 0*h - 2012 = -2*h. Suppose 0 = 9*j - 13*j + w. Suppose 2*c - j = 24. Round c to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 44*r + 22. Let h(f) = 9*f + 4. Let b(p) = 11*h(p) - 2*q(p). Let a(u) = -3*u. Give b(a(d)).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28 - (-10 + 2 + 1). Is 52 a factor of 4\/10 - 1*(-7266)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - 10.74. Let l = -12 - s. Let p = 10 + -7. Is l greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -o - 25, 4*o = 4*d - 19 + 95. Let t = d + 27. What is the second derivative of -38*w**2 + 16*w**2 + 17*w**2 - t*w wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209242146?\nAnswer: 2, 3, 34873691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 3*v**2 + 7*v - 10. Let i be o(4). What is the derivative of -m**i - 17*m - 13*m - 10 + 33*m wrt m?\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 12*i + 33. What is s(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10688 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/415548 and 127\/264.\nAnswer: 9142056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 - s + 1. Let p be (2 - (-14)\/(-5))*5. Let f = p - 1. Let a(c) = 6*c**2 - c + 1. What is f*j(n) + 6*a(n)?\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*v = -1199 - 73601. Calculate the highest common factor of v and 600.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/21966 and 111\/470?\nAnswer: 5162010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o**2 - o - 1. Let h(z) = z**3 - 3*z**2 + 3*z + 3. Calculate -3*h(q) - 7*s(q).\nAnswer: 4*q**3 + 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from thhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 + 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152209 divided by -19?\nAnswer: -8011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 87 = c, -4*y - 4*c + 2*c + 72 = 0. Suppose y*l - 12*l = 15. Suppose j + 4*s = -4*j + 95, -l*j + 4*s = -25. Solve -3*d = 2*d + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(539) + 1) - sqrt(539)) + -6*-1*sqrt(539))**2*4.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35001\/374 + 1022\/11. Calculate the common denominator of d and -77\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 141\/33) + (-7748)\/(-1144). Let h(b) be the first derivative of 2\/5*b**5 + 40*b**3 - 112*b**2 + 128*b - 21 - r*b**4. Factor h(g).\nAnswer: 2*(g - 4)**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.80678 and 1?\nAnswer: 6.80678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzyyyzy. Give prob of sequence zyyz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -56 + -1 + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 3. Let k be (-3)\/((30\/4)\/5). Let q be w(k). Let f = 0.183 - 0.583. What is the nearest to -0.4 in q, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 4*h + 16, 2*v - 4*h + 116 - 128 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 44560546?\nAnswer: 44560550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*k + 9120 = -123*k. What is the greatest common divisor of 3630 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575276179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 12*t**5\/35 + 29*t**4\/21 + 46*t**3\/21 + 12*t**2\/7 - 43*t + 2. Suppose b(u) = 0. What is u?\nAnswer: -1, -3\/4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 3:20 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 845700 and 2?\nAnswer: 1691400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 55 - 70 = 0. Let s(b) = 3*b**3 + 14*b**2 - 4*b - 1. Let w be s(r). Let n = -12 - -7. Put w, n, 1 in ascending order.\nAnswer: w, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a + 0*a + 3*a - a - 3*a + (-3 - 1 + 6)*(5 - 5 + 2*a))*(2*a**4 - 2*a**4 + 4*a**4).\nAnswer: 20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253 + -250. Let d(m) = 9*m - 4. Determine d(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:03 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = 4. Let i be (h - 0)*(-10)\/(-4). Let x be (3\/15)\/((-4)\/(-10)). What is the closest to -2 in -0.5, x, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 22 - 17 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6471 = -5*u + 959. Suppose -u - 72 = -41*g. Solve g = -5*i + 48 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 + 2555*h + 96 + 1821*h - 194 as v + w*h and give w.\nAnswer: 4376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-9\/10)*w*(w**26\/w)\/w*w assuming w is positive.\nAnswer: w**(261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/47 + 7\/376. Let w(n) = n**3 + 7*n**2 + 5*n - 6. Let i be w(-6). Let f = -0.05 - 1.95. Sort f, r, i.\nAnswer: f, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 48*w**3 - 58*w**3 + 234 + 108*w**3 - 89 - 54.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 1, w: 8, x: 5, d: 2}. What is prob of sequence wddw?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.9 - 47. Let u = 2 + m. Is -4 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1440*c + 6. Let g(z) = -1438*z + 8. Calculate -4*g(n) + 5*k(n).\nAnswer: -1448*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -99 + 43 + 16 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 1:16 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 532 - 528. Let l = -0.01 + -0.29. What is the nearest to 0.1 in 5, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -1\/167 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1395*v**2 - 10*v.\nAnswer: -5*v*(279*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7666017 divided by -1.\nAnswer: 7666017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855242128.\nAnswer: 2, 41, 2828113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -121*u + 173. Determine r(8).\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -109671\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 748819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 26843*k**3 + 52085*k**3 - 25246*k**3 + 0.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 28*k**2 + 12*k + 8. Give y(-14).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1143\/(-27) + 1\/3. Is (-1)\/2 + (-3969)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/4 + 3199*z**4\/2 - 51241*z**3\/4 + 22421*z**2\/2 = 0.\nAnswer: -6406, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2*l**5\/55 - 29*l**4\/11 - 362*l**3\/33 - 122*l**2\/11 - 1330. Suppose a(z) = 0. Calculate z.\nAnswer: -2, -1, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, b: 1, z: 6, j: 2}. What is prob of sequence wb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -209749 or -209763?\nAnswer: -209749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*v - 1, 5*g - 2*v - 74 = v. Suppose -19*r = -g*r + 564. Suppose -3*d = -5*i + 297, 3*d + i = 33 - 312. Is d at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5 + 40*r**4 - 78*r**3 - 724*r**2 + 736*r + 1344 = 0.\nAnswer: -21, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90b4 (base 13) to base 15.\nAnswer: 5d80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**3 + l**2 - 7*l - 102. What is the second derivative of y(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 223519106.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + -2 + 2*sqrt(2057)*1 + -4)*6)**2.\nAnswer: -901692 + 52272*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -3*(-5)\/15*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + (sqrt(171)*-2 - sqrt(171) - sqrt(171))*2) + 1 + 1)**2.\nAnswer: 168*sqrt(19) + 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-11 - -2) + ((-28)\/(-21) - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 - l - 2. Let z(i) = i - 7. Let u be z(11). Suppose 3*c - 16 = m, 0*m = 4*m + 5*c - u. Give d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = t + 2, 4*u + 11*t = 12*t - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 151 = -5*f - 5*o, -o - 33 = -f. What is the remainder when 1525 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 smaller than -786112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1967278 at least 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 5*t**5 - 2*t**5 + (-2*t**3 + t - t)*(5*t**2 + 2*t**2 - 6*t**2) - 2*t**5 + 86*t - 85*t - 16*t**4 - 3*t**5.\nAnswer: -12*t**5 - 16*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0.4, -1, 24.26, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {l: 8, z: 1, g: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7678 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*1\/(-9) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823, 843, 875, 913, 951, 983?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080569473 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10*r + 24. Let g be b(12). Round g to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59400 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.45 - 0.45. Let n = g - 21.87. Let v = 0.03 - n. Which is the nearest to 2\/7? (a) 0 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 4)\/((-2)\/28). Suppose 0 = 4*c + 3*p - 47, -2*c - n = -5*c + 2*p. What is the least common multiple of 2 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*(2592\/(-48) + 56)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12*-58\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10946320 by -8885.\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*p**2 + 47*p**2 - 100*p**2.\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 - x**2 + 5*x - 3. Let c(z) = -7*z**3 + 2*z**2 - 6*z + 4. Determine -5*c(n) - 6*d(n).\nAnswer: -n**3 - 4*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (11\/66)\/(((-2)\/(-4))\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -9 + -2 + -23 - (2 - -1 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87363927?\nAnswer: 3, 7, 154081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from kpppppkpkppkpppppkpp.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 243.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -26 (b) 0.3 (c) -10\/11 (d) 0.5 (e) -1\/2 (f) -3425 (g) 1\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951, 1144, 1481, 1968, 2611, 3416, 4389, 5536?\nAnswer: 6863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 42*i - 65 = 46*i, 4*i - 11*i = -2*q + 95 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*d + 28 - 33, -d = -3*w + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 19*o**2 - 35*o + 26. Let f be g(17). Let k(z) = 2*z**3 - 12*z**2 + 6*z - 144. What is the tens digit of k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*5\/30*-6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.319556mm to nanometers.\nAnswer: 1319556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*y = -8, 4*n + 7*y - 275 + 293 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(9\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -991*a + 3817*a - 4527*a - 11748*a as m + s*a and give s.\nAnswer: -13449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 5, k: 5, h: 3}. Give prob of picking 2 k and 1 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:43 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 - 130. Suppose 0 = -3*b + 3, u = b - 2 + y. Suppose u*w + 1461 = 5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4266 - -4335. Calculate the highest common factor of o and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 2286489255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14548 + 29105 - 14557 - 5*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 + 13 = 0. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2556408, 2556348, 2556288, 2556228, 2556168, 2556108?\n\"Answer: -60*b + 2556468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 5*w - 4. Let g be j(4). Suppose -4*x + 20 = -g*x. Suppose -i - 5*c - 16 = i, 2*c - x = 3*i. Sort 2, i, -0.3 in decreasing order.\nAnswer: 2, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/29)\/(h\/(h**(1\/9)\/h)*h*h))\/((h*h**(-2\/23)\/h)\/h**(-4\/5)) assuming h is positive.\nAnswer: h**(-136057\/30015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 2*t - t**2 + 8*t**2. Suppose -o + 2*r = -4*o - 5, 6 = -2*o - 2*r. What is the units digit of w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 89.25743 years?\nAnswer: 0.8925743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*u - 96 = 276*u. Suppose -u*w + 5211 = 1163. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*b = -349*b - 160 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:49 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/29)*p**(21\/2)*p)\/(p**(-1\/4)*p**(2\/19)) assuming p is positive.\nAnswer: p**(25817\/2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13635?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**5 - 4*r**4 + 5*r**3 - r**2 + r. Let y(u) = u**5 + u**2 + u. Let b(d) = -q(d) + y(d). Find w such that b(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 3\/5, 7\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291300.6 minutes to microseconds.\nAnswer: 17478036000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -60 (c) -0.2 (d) 4\/3 (e) 1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m + 5. Let f be a(5). Calculate the greatest common divisor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4247 + 3504*o**2 + 4245 - 8492 to the form f*o + q + m*o**2 and give m.\nAnswer: 3504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (40\/(-8) - 208). Let i = f - 212. Put 19, -4, i in increasing order.\nAnswer: -4, i, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99)\/(sqrt(9) - sqrt(441)*5) + 3))**2.\nAnswer: -12*sqrt(11)\/17 + 10415\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/352980 and -121\/1620.\nAnswer: 3176820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, a: 3, y: 2, u: 2, s: 7, q: 1}. Give prob of picking 2 u.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(2*sqrt(224) + sqrt(224)) + sqrt(224))\/sqrt(7) - ((-2 + (sqrt(512) - (sqrt(512) + 0)))**2 + 0)) + 0.\nAnswer: -4 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*m - 9, 2*n - 3*m = 5*n - 6. Factor 0*w**3 - w + w**n - 2*w + 2*w.\nAnswer: w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 104 = -4*s - 26, -60 = -3*s - 3*q. Let a = s - 49. Are a and -30 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o - 19. Let v be l(-8). Suppose 17*c - v*c = -20. Suppose -2*h = -s - 3*s + 3516, -5*h = -c*s + 4405. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868*s - 910*s = -38472. What is the remainder when s is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297)\/(-6)*(-66)\/297.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -64. Suppose y = -4*z + 3*z + 41. Calculate the remainder when 79 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*c - 482*c - 4*t + 10 = 0, c = 3*t - 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19457540.\nAnswer: 2, 5, 23, 42299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90156243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*g - 172*g + 92*g + 37 to f*g + r and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152.3 - 146. Let t = h + -6. Which is the second smallest value? (a) -4 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84300 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 93*v - 9. Let z(p) = 207*p. Let y(t) = 104*t. Let u(f) = -2*y(f) + z(f). Give u(h(d)).\nAnswer: -93*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60, 204, 348, 492, 636?\n\"Answer: 144*k - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1067.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfbb when four letters picked without replacement from {j: 3, u: 1, w: 2, b: 6, f: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -81*f**2 + 2*f + 7. Let w(u) = -41*u**2 + u + 3. Calculate -3*b(i) + 7*w(i).\nAnswer: -44*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400*d - 1381*d = 12901. Solve -d*a + 678*a - 3*u + 13 = 0, 15 = 3*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5494+-2931085.4581\nAnswer: -2925591.4581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x**2 - 3*x + 2. Let n be i(0). Solve -4*k + 6*k - 4*l = 10, -2*l - n = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.175767935 to 5 decimal places.\nAnswer: -0.17577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n - 262 = 18*n - 832 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 - h - 2. Let f(x) = 27*x**3 + 8*x + 112. What is f(w) + 5*m(w)?\nAnswer: 2*w**3 + 3*w + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 51*r**2 - 112*r**2 + 64*r**2 + 5 + r. Give p(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541409835 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94494 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, 3, -2\/5, 0.4, -0.1, 234 in increasing order.\nAnswer: -2\/5, -0.1, 0.4, 3, 180, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.9012527 to three decimal places.\nAnswer: -19.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 9) + 2 + 58. Let g = 78 - y. What is the lowest common multiple of 11 and g?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (61 - (-69 - -121)) + 1 + -45\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34\/8*10*(-1)\/(-155)*186\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - (1 - 1) - -5) + 2246 + -2240?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365918497?\nAnswer: 7, 2731, 19141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(114))\/(sqrt(66)\/(sqrt(77)\/sqrt(7))).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 553*d**5\/20 + 215*d**4\/12 + 496*d. What is the third derivative of t(x) wrt x?\nAnswer: 3318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16324 + 0.03676. Which is the second biggest value? (a) -2.1 (b) u (c) -0.4 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**17\/(k**(3\/5)*k\/k**(-1)))**(-17) assuming k is positive.\nAnswer: k**(-357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 15*c**3 + 6 + 5 - 23*c**3 - 3 + 13*c**3 as u*c + i*c**3 + k + g*c**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/4)\/d**(-14))**(-16) assuming d is positive.\nAnswer: d**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3143 + -13102?\nAnswer: -21300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide (26\/(-312)*548)\/(1 - (-374)\/(-372))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/(6\/18). Suppose 0 = -4*l - 14 + g, -4*k + 5*l + 299 = 0. List the prime factors of k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 400 = 5*o + 5*p, 0 = p. Let u be (o + -4)*(-8759)\/(-4). Let y = u - 486421. Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19908 and 47290348.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -321055, -5, 12, 4 in descending order.\nAnswer: 12, 4, -3, -5, -321055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6.68 * -2.2776\nAnswer: -15.214368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -274987 (b) 2\/3009 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o + 1244. Calculate the remainder when j(-58) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*w**3 + 847*w**3 - 400*w**3.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 261 - 74)*(s**2 + 4*s**2 - 6*s**2).\nAnswer: 236*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (88*g + 10*g - 5*g)*(0*g + 4*g - 3*g) + 5*g**2 - g**2 - g**2 + 1 - 5*g**2 + 4*g**2 + 2*g - g in the form i*g**2 + m + h*g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.27 + -0.07. Let w = -2 - r. Let k = 3.200034 + w. Round k to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 2 - 8*v - 2*v**2 + 3*v - v**3. Let p = -25 - -17. Let k be 3\/((-2)\/p*3). Determine d(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 20*o - 6779. Let x(k) = -26*k. Give x(y(v)).\nAnswer: -520*v + 176254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112038.\nAnswer: 2, 3, 71, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126459 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265795 divided by 85?\nAnswer: 3127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3*q - 33019*h**3 + h**2 - 80*h*q**3 - 141*h*q**2 wrt q?\nAnswer: -2*h**3 - 240*h*q**2 - 282*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8771\/(-147) - -57)*(2\/(-4) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + g**2 - 19*g - 9. Let m be u(-8). Let f = -823 - m. Let t(y) = -2*y**3 - 13*y**2 - 7*y - 5. Calculate t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-23 - 7)) + (-39 - -27) + 55.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 11. Is v(-7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -172*x - 41*x + 4473. Solve -4*n = b + x, -11*b + 10*b - 2*n - 11 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 35 = 4*m. What is the remainder when m is divided by 84\/9 - 1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 2*x, 0 = u - x + 3. What is the third derivative of 75*r - 75*r - 34*r**6 - 131*r**u + 3*r**6 - 105*r**6 wrt r?\nAnswer: -16320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1365 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 + 26415*b**3 - 37507440*b**2 + 16094704780*b = 0 for b.\nAnswer: 0, 986, 3311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 25*a - 4. Calculate p(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(6)\/sqrt(2)))\/(sqrt(96)\/(2*sqrt(12))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7581*p**3 + 7583*p**3 - 15173*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 11427455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -179120 divided by -40?\nAnswer: 4478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - m**2. Let a be v(-1). Let t be 0 - (8\/18)\/(-2). Let 4\/9 + t*w - 2\/9*w**a = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2296 = -112*l + 126*l. What is the remainder when l is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*q**4 + 11*q**2 - 793?\nAnswer: 148*q**3 + 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 419 or 1673\/4?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.7, 3, 0.5, 1299, -0.3 in increasing order.\nAnswer: -2, -1.7, -0.3, 0.5, 3, 1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -871*j - 13. Let q(g) = 291*g + 4. Give 4*p(r) + 13*q(r).\nAnswer: 299*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 + (-10)\/(-3). Find the third derivative of -23*r - 3*r**k - 4*r**2 + 23*r wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let p = 3 - o. What is the closest to 0 in p, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2133956.\nAnswer: 2, 11, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -45*h + 1. Let k be p(1). Let r(x) = 2*x**2 - 2348*x - 62437. Let z be r(-26). Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1978 + -1981. Let s(i) = 2*i**2 + i - 3. Give s(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 28*b - 126. Let t(g) = -g**3 + 7*g**2 - g - 6. Let k be t(7). Calculate the remainder when b is divided by (k\/(-52))\/(1\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24796206223+-347\nAnswer: 24796205876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(1573) + 1)*-1.\nAnswer: -1 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8319410 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 227*h**2 - 2*h + 1. Let t be p(1). Let o = t + -157. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 11*l + 3.\nAnswer: -11*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbnb. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 2 + -21 - (5 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 1368 = -26*t. Let k be 5\/(-4) - 2007\/t. Factor k*x**3 - 6\/19 + 50\/19*x - 112\/19*x**2.\nAnswer: 2*(x - 3)*(4*x - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noonnnqzqmnqo. Give prob of sequence omz.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041614 is divided by 4076.\nAnswer: 2234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19050*m**2 + 19634*m**2 - 38686*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4590\/(-240) + 19)*-200?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 6185 = 1700. What is the third derivative of j**2 - 420*j + 242*j + v*j + 81*j**3 wrt j?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 3*r**2 - 3*r**2 + (-3*r + 6*r + 0*r)*(-1 - r - 2*r + 6*r).\nAnswer: 10*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 2\/233, 2\/7, -0.2 in ascending order.\nAnswer: -5, -0.2, -0.1, 2\/233, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19401*r - 6487*r - 6460*r - 6404*r + 2.\nAnswer: 50*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -19*k. Give x(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 5:57 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/15 + (-24)\/(-36). What is the smallest value in g, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-8))\/(9\/(-48)). Suppose 2*r - d = -r, -o + r + 1 = 0. Suppose -g = -o*g + 20. Solve -2*x + 5*x = z + 9, x + g = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11899036?\nAnswer: 2, 2974759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 113655 divided by -13\nAnswer: -113655\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 0)*3\/(-2). Let g(f) = -f**t + 2*f**3 + 4*f**2 + 3 - f**3 + f**3. Suppose -12*y - 31 = 17. Determine g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q**(-1)\/q))*q)\/q)**(1\/32)\/(q**(-2)\/(q\/(q*q*q*q\/q**(-1\/5)))))**24 assuming q is positive.\nAnswer: q**(-303\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 3*y - 2*y)*(-y**4 + 2*y**4 + 0*y**4)*(7 - 1 - 2).\nAnswer: 20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -3, 3, -35, -8 in descending order.\nAnswer: 26, 3, -3, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 51*s**2 + 90*s - 104. Let x be p(-49). Suppose -72*l = -54*l - x. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2190 and 17255886?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-7))\/(230\/(-322))?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27185 - 27184.6. What is the closest to -20\/27 in 0.5, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 3*b**2 - 26*b**3 + 59*b - 33*b**3 - 2*b**2 + 58*b**3.\nAnswer: -b**3 + 3*b**2 + 59*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - t + 6 = -10, -61 = -4*o - t. Let i be (8\/(-6))\/(14\/(-231)). Let v = i - o. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13650 (base 13) to base 11\nAnswer: -25248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -24. Let g be 371\/9 + z\/99 - -3. Calculate the highest common divisor of g and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 - 10*g + 128)*(-4 + 2 + 0)*(0 - 7 + 3 + (0 - 1 + 2)*(2 + 0 - 4) - 22 + 21 - 42).\nAnswer: -980*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -50, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-14) - 4\/14. Let u = 67 + -66.918. Let g = 0.018 + u. Which is the nearest to g? (a) o (b) -2 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9938, 19855, 29772, 39689?\n\"Answer: 9917*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 2858102660.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.777 + 0.077. Let w = 32.4 + r. Which is the nearest to 0.2? (a) w (b) 1\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.8 - -0.8. Let p = d + -9. Put -0.3, 0.1, p in increasing order.\nAnswer: p, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - 2) - (-6 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + -1. What is the common denominator of (-21)\/30 + 4\/g and -71\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 10 + 1 + 7*v + 4 + 3*v. Is 6 a factor of w(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174211154*y**3 + 249268847*y**2 wrt y.\nAnswer: -1045266924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 9*s**2 + 9*s + 3. Let c be z(-10). Let x = -6 + c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/2, 1, 36, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxaxkkewwwwxwxekw. What is prob of sequence ww?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgyf when four letters picked without replacement from fyfykffyygfgggk?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/297 + (-21)\/(-231)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.7 + 4.7. Let u = 1.7 - 1.77. Which is bigger: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y + 1\/24*y**4 + y**2 + 0 + 0*y**3. Let f(z) = z. Determine f(q(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 2863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571345?\nAnswer: 5, 114269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 3, 64964, 4, 103 in ascending order.\nAnswer: -2, 0, 3, 4, 103, 64964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36774 and 1135.\nAnswer: 183870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(30)\/(sqrt(3) - sqrt(48)))\/(sqrt(20)*-2)*-1.\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let r be (-1 - -1)\/((-2)\/k). Suppose 5*p - 54 - 1 = r. What is the lowest common multiple of 8 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -330 - 17979. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368 divided by -14\nAnswer: 184\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1619 - 1611. Solve 2*u - a - f + 17 = 0, 3*u - 2*a + 14 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-265)\/55 + 5 + (-3384)\/(-22). Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - b - 5)*(-2*b**2 - 2*b**2 + 13*b**2) + 17126*b**2 - 17126*b**2 + 271*b**3.\nAnswer: 262*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38543.\nAnswer: 38543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38821232 at least 38821234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acayaycctytyytcctcst. What is prob of picking 1 c, 1 y, 1 a, and 1 s?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, m: 4, t: 1, y: 6}. What is prob of sequence ytmy?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297699, 297543, 297387, 297231?\nAnswer: 297075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 13*r + 7. Let p = 86 - 62. Suppose -p*g + 13 = -25*g. Let u be s(g). Which is smaller: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o + 1. Let y = 14 - o. Calculate the greatest common divisor of y and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3528*i + 56*v = -3530*i - 348, -5*v - 42 = 2*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 4*i + 23 - 5*i as v*i + z and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 308.8 times -3091\nAnswer: -954500.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 7)\/(2 - 0). Let q(k) = -k**3 + 4*k**2 + 2. Suppose 10 = 3*a - a. What is the least common multiple of q(u) and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 16. Suppose t + 5*q - 254 = 241, -990 = -2*t - 4*q. Is (-3)\/(-2) + t\/a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2067343199 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 106 - 94. Suppose 866 = i*b + 23. List the prime factors of b.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79710 - 3.\nAnswer: 79707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 29*t - 62*t - 33*t.\nAnswer: -134*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5263104 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(17) + sqrt(153))*-2)**2 + sqrt(153)\/(sqrt(9)*-1)).\nAnswer: -3*sqrt(17) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 195542, 196085, 196628, 197171, 197714?\n\"Answer: 543*o + 194999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -941 divided by -1?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 26092852?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1726*i - 2462. Is 52 a factor of z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 + (-45 - 48) + -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21488 take away 953.3031?\nAnswer: -953.51798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 4*u**2 - 2*u - 6. Let z be a(-4). Let v be 10\/(-25)*-5 - z. Suppose -2*k - 83 + 99 = v. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(270\/369) - (-6 + 4) and -31\/3320.\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 0*m**3 + 6*m**3)*(-5638*m - 62 - 4649*m + 30 + 32).\nAnswer: -61722*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2554, 0.3, -2, -6, -0.4 in decreasing order.\nAnswer: 0.3, -0.4, -2, -6, -2554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*z**3 - 43 + 43 + (3*z**3 + 2*z**3 - 3*z**3)*(-2 + 3 + 1) + 3*z**3 - z**3 - 3*z**3 + z**3 - z**3 + z**3 + (-3*z**3 + 0*z**3 + 5*z**3)*(2 - 2 - 1).\nAnswer: 35*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 27*b - 34. Let z be k(12). Solve -4*j - 1 + 0 = -3*h, -3*j = -z*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167 + -104. Suppose -3*i - 5*t = -6193, 65*t = i + k*t - 2046. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14835, 30202, 45947, 62064, 78547?\nAnswer: 95390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 32. Let q be h(-8). Find the third derivative of 367 - 367 + q*t**2 + 9*t**6 wrt t.\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/36 + 4\/9. Which is greater: r or 0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 0 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.7 - -76.3. Let b = c - 98. What is the third smallest value in b, 3\/5, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356*d = 1363*d - 13860. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2401a (base 14) to base 8\nAnswer: 253430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -20, 6 in increasing order.\nAnswer: -20, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*g + 9902 = 0, 4*q + 21*g - 25*g = 19860. Calculate the highest common factor of q and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30568 greater than 30562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) 1\/4 (c) -26992 (d) -0.1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -834.6 - -760.5. Let h = 1.18 - 75.18. Let b = h - q. What is the closest to 0.2 in 4, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkm when three letters picked without replacement from hhmhdhdkkmdkdkk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 + 286 - 286.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1544512290 rounded to the nearest 1000000?\nAnswer: -1545000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**5\/b))\/(b*b*b\/b**(-2\/11))*(b**(-2\/5))**(8\/11))**(1\/3))**(-30) assuming b is positive.\nAnswer: b**(712\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693305 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: In base 6, what is -42501 + 2?\nAnswer: -42455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46822358 a multiple of 2142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 19*m - 514800. Round m to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.9 and 57?\nAnswer: 279.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.15, 0, -4\/3, 0.3, -0.01?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 17. Let b(w) be the third derivative of -w**5\/30 + 13214*w**2. What is d(b(p))?\nAnswer: 4*p**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -66, -172, -332, -552?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -11. Suppose 3*f = -27 + 87. Suppose -f = 10*n - 6*n. Sort s, 2, n in descending order.\nAnswer: 2, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-16\/9)\/(a**2\/(a*a**(2\/3))) assuming a is positive.\nAnswer: a**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -11*l**3\/3 - 33*l**2 - 22*l. Let w be p(-3). Factor 0*m**2 + w - m**4 - 1\/2*m**5 - 1\/2*m**3 + 0*m.\nAnswer: -m**3*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - r + 10 = 45, 3*k - 3*r - 33 = 0. What is the highest common factor of k and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1205884\/3 - 401959. Let 11\/3*l + 1\/3*l**3 + 5\/3 + d*l**2 = 0. Calculate l.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.6, 0.03, 0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (58\/(-64) + 1)*(-5 - -9). Sort 0.3, 0.2, w, 2\/15, 3 in ascending order.\nAnswer: 2\/15, 0.2, 0.3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 46. Let m = t + -22.7. What is the second smallest value in 4, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828199838?\nAnswer: 2, 1414099919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 3*z**5 - 6*z**5 + (6*z + 8 - 8)*(3*z**4 - z**4 - z**4) + 34*z**5 + 13*z**5 - 13*z**5.\nAnswer: 39*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1245 (b) 5 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123926.\nAnswer: 2, 11, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 4*f - 7*f)*(2*f - 4 + 4) + (41 - 22*f - 41)*(-2*f - f + 2*f).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -20*z + 5. Let c(x) = -33*x + 11. Let i(q) = 3*c(q) - 5*t(q). Let w(l) = -6*l**2. Calculate i(w(p)).\nAnswer: -6*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.172 - 0.058. Let u = v - 0.07. Let s = -3.3 - u. Which is the smallest value? (a) -3\/5 (b) -0.02 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p - 2. Let a be q(1). Which is bigger: -2\/33 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from issiesciiisiciicss. Give prob of picking 1 i and 2 c.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 10*l**2 - 4 - 7.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1057233915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 2:38 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -204, 227, 820, 1569, 2468, 3511?\nAnswer: 4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9 (b) 6\/13 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {u: 3, k: 3, c: 1, s: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880173405?\nAnswer: 5, 11, 19, 31, 127, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451123 (base 6) to base 13.\nAnswer: 142c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 3*q + 14*q - 16*q.\nAnswer: q - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*c + 19, 7*k + 1537*c = 1534*c + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049620327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -w - 14, w - 2*j + 13 = 3. What is the lowest common multiple of (-3)\/2*44\/w and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2 - (-16)\/12). Suppose 0 = -3*a - 2*l + 550, a - 182 = -2*l - 4. Calculate the highest common divisor of x and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(0 - 0 - (1 - 2)). Suppose 0 = i - o, 3*v - 752 = 4*i - 120. List the prime factors of v.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39481, 39483, 39485?\nAnswer: 39487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291956, -291520, -291084, -290648, -290212?\nAnswer: -289776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - 5*b**4 + 3*b**4 + (2*b**3 + 2*b**3 + 0*b**3)*(0*b + 0*b + 2*b).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5760408931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(-3*sqrt(1088)*2 - ((sqrt(17) - ((sqrt(17) + -2)*-2)**2) + (sqrt(17) + -2 + sqrt(17))*-6)).\nAnswer: -720 + 530*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -244143*p**3\/4 + 122055*p**2 + 33*p = 0. Calculate p.\nAnswer: -22\/81381, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*k + 27 = -2*k, 4*m = -3*k - 41. Put m, -8, 3 in descending order.\nAnswer: 3, -8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -n + i, -2*i - 20 = -n + 162. Suppose -3*k = 12*k. Suppose 4*d + 4*m - 6*m = n, k = -d - 2*m + 39. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4*g - g**4 + g**2 + 49*g**3 - 2*g - 47*g**3 to x + w*g**3 + d*g + v*g**2 + z*g**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6)*-2)\/(5\/(-15)). Suppose o + 0*o + h = 1, -4*o + 11 = -q*h. What is the highest common divisor of o and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j**3 - 65*j**2 - 55*j - 10 = 0. Calculate j.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5017, -5014, -5011, -5008, -5005?\n\"Answer: 3*q - 5020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -7, -982, -5, 388, 3 in decreasing order.\nAnswer: 388, 3, -5, -7, -31, -982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28319\/4113 - -5\/1371. Let m be (-3 + 6)*194\/(-3). What is the common denominator of 1\/(-1) - -2*m\/(-16) and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/7)*m*m\/m**(-1\/5)*m*(m\/((m**(-3)\/m)\/m))\/(((m*m**(-1\/7))\/m)\/m) assuming m is positive.\nAnswer: m**(372\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -600, -617, -648, -699, -776, -885?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 - (-4 + 14 + -3)) - 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 + 3*a**2 + a. Let q be k(-2). Let i be (54\/(-63))\/(3\/q). Let f = -8 - -7. Sort 5, f, i.\nAnswer: f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (2 - 4) - 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 59*r. Let j(p) = 3*p**2 - 20*p + 20*p - p**2. Give z(j(f)).\nAnswer: 118*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = -16*n + 55836. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/76 + 13\/4. Let o be 1380000\/(-36)*i*36\/2. Round o to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 4*i**2 - 41 - 11*i**3 + 75*i**3 + 110.\nAnswer: 64*i**3 - 4*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 4 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -118. Let j(q) = -a*q**3 + 193*q**3 + 2 - 95*q**3 - 7*q**2 + 15 - 2*q. Determine j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.97 + -0.03. Let t = -19.1 + 19. Sort 0.3, t, b in decreasing order.\nAnswer: 0.3, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-18) + 4083574\/(-99). Let g be -8*(-1 + 3 - k). Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 2 - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12416412 (base 7) to base 5\nAnswer: 242140413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*i - 124 + 128, 4*i - 41 = -5*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -818\nAnswer: -33\/818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7710701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - v - 84 = 0. Solve -7*k - v = -35 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 3.96. Which is the nearest to -0.4? (a) 0 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-8 - (3 + 2 + -29))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvv when three letters picked without replacement from {b: 1, r: 1, o: 2, v: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q + 5. Let g be i(-1). Let h be g + 1 - (-1 + -16). Suppose -2*y = -3*o - 9, 4*y - 4*o - 3 = h. Solve -y*z - 19 = 2*a, -4*a - 3*z - 24 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -1\/2*m**2 - 12\/5*m**5 + 0 + 2\/3*m**4 + 5\/6*m**3 - 3*m. Solve a(p) = 0.\nAnswer: -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 6 = v, -263*n + 268*n + 29 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1850.66248+-134069\nAnswer: -132218.33752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -775799 or -554?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i\/i**(1\/10)*i**(-5))**30)**(-4\/9))**(-37) assuming i is positive.\nAnswer: i**(-1628\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/13 (b) -7.65 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -4497?\nAnswer: -4496.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + m = -5, -4*n = -0*n - 5*m - 25. Suppose 187*d - 593*d = -812. Solve 4*g - p + 0*p = -12, n = d*g - 4*p - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53822 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let u be q(10). Calculate the greatest common factor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 3)*(4 - 5 + 3)*(-4*v + 3*v + 0*v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = 0. Suppose a = -3*c + 37 - 10. Let p(u) = 2*u - 1. List the prime factors of p(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 115.335 and 9.5.\nAnswer: 1095.6825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.96027 decades in years?\nAnswer: 919.6027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 286 = -9*l. Calculate the remainder when 10 is divided by l\/117*(-1 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 230356517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 159 (b) 1\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/13, -141\/10 in descending order.\nAnswer: 4, 2\/13, -141\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61462, -62304, -63146, -63988, -64830?\nAnswer: -65672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {d: 1, t: 6, g: 5, y: 3, r: 1, a: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 + l**4 + 21*l**2 - 20*l**2 - 4*l**3 + l to the form u*l**3 + r + v*l + y*l**4 + s*l**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 25*r - 15. Give a(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 9:08 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1340 + 10?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -13223?\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -475*o**2 + 76*o + 8. Determine t(-2).\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -803, -1605, -2407?\n\"Answer: -802*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (473\/129)\/(2*(-2)\/(-12)). Sort -3, h, 1.8 in descending order.\nAnswer: h, 1.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94382136 divided by -6.\nAnswer: 15730356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225948 or 225959?\nAnswer: 225948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/16 and 69\/94?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 616, 1224, 1832?\n\"Answer: 608*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than -0.61885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x - 11. Let l be j(0). Let w be 4*(-12 - -10 - l\/4). Solve w*m - m + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6318924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 43. Suppose 0 = 4*y - 2*y + q. Is 4 a factor of y + 29 + 1*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 11*w + 7. What are the prime factors of t(-10)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325324 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56297 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 113.61. Let f = t - 0.39. Sort -0.1, -2, f in descending order.\nAnswer: -0.1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.206254 * 82.\nAnswer: -16.912828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -3.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4241, -8479, -12719, -16961, -21205, -25451, -29699?\n\"Answer: -u**2 - 4235*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + w**3 + 50 + 70.\nAnswer: w**3 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - x + 2*x)*(-x**2 + x**2 + x**2 + (-1 + 5 - 2)*(0 - 2*x**2 + 0)).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13a5 (base 11) to base 2\nAnswer: 11100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 6 - 17 + 46 - 46*q - 13 + 4.\nAnswer: -46*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*q = -481*q - 63 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/7)\/x*x**11\/x*(x**(-2)*x)\/(x\/(x*(x*x**5)\/x*x)) assuming x is positive.\nAnswer: x**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 80.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21919+0.025816\nAnswer: -21918.974184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14440 at least -14242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -38425*b**3 + b**2 - 26*b + 8. Let u be g(-6). What is u rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/324*3 - 28\/63\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 8) + -6 - (2 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8824383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 33*f - 31. Let r be n(21). Let k = 262 + r. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1. Let n(o) = 46*o + 7. Let v = 12 + -6. Let c(w) = v*s(w) + n(w). Is c(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17640 and 1440?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 5*u = 2*b + 160, 0*b + 317*u = b + 321*u + 44 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1018, 1015, 1012, 1009?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0.07550250368\nAnswer: -4.07550250368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*a**4 + 2271147*a - 2271147*a + 2 + 7*a**3 - 2*a**2 as x*a**3 + u*a + j*a**4 + w*a**2 + k and give j.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**6\/6 - 17*r**4\/6 - 2315*r**2 - r - 835. What is the first derivative of l(t) wrt t?\nAnswer: -20*t**3 - 68*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12920967, -25841933, -38762899?\n\"Answer: -12920966*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (157 + 3)\/(-2) + 4. Let u = c + 101. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -515882780 + -4007078620. Let n = r - -4522961356.99999789. Let p = n - -43. What is p rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 50, 27, -62, -241?\n\"Answer: -4*p**3 + 3*p**2 + 38*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8699 + -8687. What is the greatest common factor of l and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33088, 132447, 298048, 529891, 827976, 1192303, 1622872?\n\"Answer: 33121*z**2 - 4*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, x: 1, t: 1, w: 3, h: 3}. What is prob of sequence dd?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = -3266*l + 3284*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 + 2*h + 5. Let j be z(7). Suppose 3*a - j = -4. Suppose -8 = s - 3*w, -5*s - 20 = -10*s - a*w. Let q(f) = -9*f**3 + f. Calculate q(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = w + 98845, -5*k + 10*w - 5*w + 123575 = 0. Round k to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*s**2 - s**5 - 142*s**2 - 58*s**5 + 61*s**5 - 889*s wrt s?\nAnswer: 40*s**3 - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 14, v: 1}. What is prob of sequence bvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1875*a**3 + 264*a**3 - 714*a**3.\nAnswer: -2325*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 209 + 164. What is the smallest common multiple of (-22)\/d + (-12)\/27 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126 + 19 - 734*z + 77 - 37 - 91 wrt z.\nAnswer: -734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 13. Let w be s(-7). Suppose 0 = 2*m + 3*m + 25, -5*m - w = -o. Let t be (-1 + o*(-22)\/48)*4. What is the closest to -1 in t, -0.6, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -8096?\nAnswer: -7\/8096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/60 - 59*x**3\/3 + 15*x**2 + 2*x. Let f(d) be the first derivative of k(d). Let g(p) = 28*p**2. What is g(f(b))?\nAnswer: 112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**4*t + 199*a**4 - 21*a**3*t - 14*a**3 + a**2*t - 11*a**2 - 2*a - 4*t + 2 wrt a.\nAnswer: 96*a*t + 4776*a - 126*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101831.71 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 12*o - 3*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 28, 48, 76, 112, 156?\n\"Answer: 4*t**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.93 (b) -5 (c) 293966\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -63259*d - 63253. Determine w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.98, -5, -1\/5, 4\/15, -2\/7.\nAnswer: -5, -1.98, -2\/7, -1\/5, 0, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 832\/24 - (-2)\/(-3). What is the greatest common divisor of m and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -926.2 + 997.63. Let s = 71 - h. Let m = s + 0.23. Is -3 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -6 + 7 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) -168 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 19823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**2 - 16180 + 16180.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 19*g + 2. Let i be a(19). Solve 2*o - 3 = 3*m, 0 = -i*m + o + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74, 171, 260, 341, 414, 479?\n\"Answer: -4*p**2 + 109*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 11. Let q be z(11). Suppose q = -7*n + 4*n + 12. Solve n*i - 3*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1000011110110101?\nAnswer: -1000011110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1.19, -2\/17.\nAnswer: -1.19, -2\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 393169 and 49.\nAnswer: 2752183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/4? (a) -0.05 (b) 3 (c) 1\/14 (d) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174.7 + 179.7. Which is the second smallest value? (a) -0.6 (b) -0.5 (c) -4 (d) 2\/11 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 418*q + 9. Suppose -2*s + 14*z + 30 = 9*z, -5*z + 5 = 5*s. Is w(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302313201 (base 4) to base 5\nAnswer: 141421031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.49 - 1.01. Let u = o + 30.5645. What is u rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13092048 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7468 or -7467?\nAnswer: -7467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r - 7. Let g(j) = 8*j - 8. Let w(x) = -5*g(x) + 6*l(x). Let u be w(4). Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/5)*z*z**(-1\/3)\/z*z*z*z**(-4)*z*z*z\/(z\/z**(2\/5)*z*z)*z assuming z is positive.\nAnswer: z**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/30 - 11*g**4\/72 + 5*g**3\/18 - 3*g**2\/2 - 20*g. Let j(v) be the first derivative of i(v). Solve j(x) = 0.\nAnswer: 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 15*w**2 - w**2)*(w**2 + 0*w + 0*w)*(0 - 8 + 5).\nAnswer: -57*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 11. Let z = -5 - -6.2. Let i = z + w. Which is the third biggest value? (a) -5 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*s = 13716 - 4315. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - w**2 + 2*w**2 - w**2 + 2*w**2 - 4*w**2 + (-5*w**2 + 0*w + 0*w)*(2 + 3 - 3) + (-1 + 1 - 2*w)*(0*w + 6*w - 3*w).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/21)\/8*27\/(-180).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-15) + 404\/78. Let d = -5 + k. Let i = -0.65689 - 0.04311. Which is the nearest to i? (a) 1 (b) 3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:49 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*m - 7, -4 = -4*a + m - 1. Let d be a\/4 - 123\/(-4). Let n = d + -19. What is the lowest common multiple of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = x + 3*w, -3*w + 93 = 3*x - 45. Let y(q) = -2*q + 46. What is the lowest common multiple of y(21) and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -40*n**2 + 245*n**2 - 209*n**2. Let i(f) = 442*f**2. Determine s(i(r)).\nAnswer: -781456*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 11*a**2 - 14*a - 12. Determine r(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33 + -6802\nAnswer: -6835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 3*j**5\/20 - 5*j**2\/2 - 10*j. Let f(q) = -2*q**3 + 4. Let l be (-3)\/(-15)*(3 - -17). Give l*f(a) + 3*o(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2112600?\nAnswer: 2, 3, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, 5743 in decreasing order.\nAnswer: 5743, 30, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - g - 102 = 0, 0*g + 2*g = -8. Let y be a\/6 + (-36)\/(-54). Suppose h = -z + 47, y = 5*h - 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 6*g**2\/5 - 15648*g\/5 - 15678 = 0.\nAnswer: -5, 2613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1488 - 2979 + 1491 - 2*h**3 + 41*h**2 to the form y + c*h**2 + z*h + r*h**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*i - 74*i + 889*i**3 - 881*i**3 + 2*i**2 + 53*i wrt i?\nAnswer: 48*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-4 - -3))\/(0 - (-56)\/(-63))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(3\/(-18)) + 75 + -72. Solve -b = x*b - 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1996620055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from uddwwldwhh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/8, -2, 5, 6\/7, -1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*5\/(-15) + 1053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 70*p**2 - 6*p + 54. Determine h(35).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m**(2\/3)*m**(2\/5)\/(m*m**2*m))\/((m**5*m*m)\/(m\/(m**(-4)\/m))*(m**0*m)**(-4\/23)) assuming m is positive.\nAnswer: m**(-2332\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5788662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 - 6 = -4*v, -3*v + 20 = 4*g. Let c be 48 + v\/(1 - -1). Suppose 2*x + 3*x = c. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (20 + -17 + 0 + 16)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29c (base 14) in base 12?\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -35. Let p be 0*v\/(3 - -3). Suppose p*t - 2*t + 5*i + 18 = 0, -2*i + 12 = 4*t. Let r(u) = u - 3. Give r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 30*y - 864. Calculate the lowest common multiple of 28 and y.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 15539 = 16779. Solve i + 22 = -12*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2204 - 4309 + 5*s + 2167)*(-3 - 4 + 1).\nAnswer: -30*s - 372","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19417 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6436188893 - 4*h**2 - 6436188893.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/40 and (-48)\/(-80) + (-1)\/(-180)*-23?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 8. Suppose -c - 3*k - n = 13, 3*c = k - 62. Is (5 + -2)\/((-6)\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-765)\/((-15)\/5). Let j = 798 + i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11398409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -516781*j**3 - 21*j**2 - 221896860*j?\nAnswer: -3100686*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63923092 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:23 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 65. Let f(w) = -20*w**2 + 8*w + 17. Let t(c) = 7*c**2 - 3*c - 6. Let z(i) = -6*f(i) - 17*t(i). What is the remainder when r is divided by z(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/19 - 24570*f**2\/19 + 94780974*f\/19 - 109617118006\/19.\nAnswer: 2*(f - 5081)**2*(f - 2123)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.309295 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 - n. Let b be p(-6). Let i(c) = -c**3 + 3*c + 1. Let y be i(-2). Suppose s - m - b = 0, 15 - y = 4*s - m. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**3 - 7238 + 4*u**3 + 7247)*(-3 - 2 + 6 + (1 + 0 + 0)*(1 + 0 + 1)).\nAnswer: -12*u**3 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 18 + 2. Suppose 3*r = -h + a*r + 6, -r = 0. Solve -3*k + h*k - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 10*q)*(2*q**4 + 0*q**2 + 0*q**2)*(3 - 2 + 4).\nAnswer: 100*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 - 201. Calculate the greatest common factor of w and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/304 and 149\/168.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + 7*w + 4. Let z be i(-2). Solve -2*f + b = -z, -2*f + 2*b + 26 = -3*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {e: 2, h: 3, b: 1, v: 1, p: 11}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0647 + -4.1253. Let g = q + 0.19. Which is the smallest value? (a) g (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036723 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 9. Let v be a(-6). Solve 13 = -4*r - u, -v*r + 4*u + 18 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = m - 11*q - 3, 0 = q - 0 - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 13*r**2 - 12*r + 6. Let d be z(-12). Suppose 4*f - 3*l - 218 = -d*l, 2*l = 2*f - 116. Calculate the remainder when 163 is divided by f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from wbcwbcywwwcwywcwc?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) -0.2 (c) 0 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/3)\/s*s**(-3)*s*(s**(-2\/3))**8*((s**(1\/4))**32)**(-8) assuming s is positive.\nAnswer: s**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 254*r**2 + 21*r + 5338. Determine w(-254).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -1122158?\nAnswer: 62\/561079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 9, i: 2, f: 4}. Give prob of picking 1 i, 2 f, and 1 x.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4739 (base 16) in base 2?\nAnswer: -100011100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7453*l**2 + 44712*l + 36.\nAnswer: -(l - 6)*(7453*l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhqqhhhhq. Give prob of sequence qqh.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, m: 2, i: 4}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13174 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*o - 7. Let d be 295\/(-340) - 3\/o. What is the second smallest value in -5, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15911707 by 1.\nAnswer: -15911707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*b + 3*d, -12*b = 22*d - 19*d + 39 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*u + 1972 = -1053. Let c(w) = -w**3 + 15*w**2 + 17*w + 4. Let a be c(16). Solve -3*l - x = a, 2*x + u = -3*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-9)\/(-18*6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14517 and 63.\nAnswer: 101619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 - 2850*d - 3204*d - 2906*d + (4 - 2 - 1)*(0*d + 0*d + 2*d) - 2*d - 2*d + 3*d + d + 0*d + d as b*d + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3162 (c) -38\/25 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 - (-1 - -2). Let v(q) = -q**3 + 4*q**2 - q - 3. Let u be v(3). Solve z = 7*t - u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 5. Let j be d(-2). Let w be (384\/(-10))\/(-6)*(18 - j). Let m = 98 - w. Solve 5*c = 25, 8 = 4*n + m*c - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 13*q**2 - 15*q + 11. Let o be (-7)\/(42\/4)*-6. Let m be (-1)\/((8\/(-18))\/o). Let a be 3*(-7)\/m*-6. Calculate x(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 190251273*j**2 - 2*j - 183232826?\nAnswer: 380502546*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxugegnh. What is prob of picking 1 e and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/350*30\/(-4). What is the nearest to 0.02 in 2\/9, 4, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -4 (c) 1\/3 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 68*r + 39*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235377 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.4 (b) -0.02 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 1\/52, 0.01, 3\/2.\nAnswer: -0.2, 0, 0.01, 1\/52, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*3\/(-45).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r - 2. Let j be s(4). Calculate the highest common divisor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + (-390)\/(-40) + 18\/8. Suppose -l*j + 4*j + 4 = 0, -5*m - 2*j = -2. Put m, -1\/4, 0.05 in increasing order.\nAnswer: -1\/4, 0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**4\/3 - 5*h**3\/6 - 2*h**2. Let l be -1*(-1)\/((-2)\/10). Is f(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 26, 8 in decreasing order.\nAnswer: 26, 8, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*1*1 + sqrt(152))\/sqrt(4))\/(sqrt(384)\/sqrt(12) + sqrt(128)\/sqrt(4)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 17*z = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/(-27) + -8)\/(((-438)\/(-163593))\/(2\/(-6))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 5*b**2 + 0*b**2 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-1 + 1 - 7*h**3)*(-2 + 2 + 1) + 1 - 1 - 4*h**3 + (1 + 3 - 5)*(-5 + 5 + 9*h**3).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001598056 to five dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*n + 6*n - 3858 + 11*n + 3*n + 5*n to f + b*n and give f.\nAnswer: -3858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/4*(40\/(-24))\/((-55)\/(-66)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*t - 22. Suppose -t*z = z - 25. Suppose -n = -z - 3. Solve 7*m - n*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.9407 or 1\/4?\nAnswer: -7.9407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 1. Let q be s(1). Solve -5*y + 3*y = -q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 276727 or 276696?\nAnswer: 276727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -261\nAnswer: 4\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 - (-2 + 6 - 2). Let l(m) = -4*m - 92. Calculate the common denominator of 28\/3 and l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11647878 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 9*p**2 - 2*p - 1. Let v be c(-2). Let z = v - -115. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -4\/15 (c) -1 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - -4. Let c = k + -54.4. What is the second smallest value in c, -0.5, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.5 + -60.4. Let o = -185 + 161. Let n = o - d. What is the third smallest value in n, -2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {u: 1, w: 18}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 - m**3 - 1696*m**2 + 388*m - 4 wrt m?\nAnswer: 12*m**2 - 6*m - 3392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzvd. What is prob of sequence dzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 9*f**2 - 23*f + 12. Let r be o(11). Solve l - 4*a - r = -20, 4*a - 25 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(589\/(-1240)*1424\/(-89))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17493 and 10633.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 65847.746496 and -0.24.\nAnswer: 65847.506496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 12*k**2 + 14*k - 17. Let z be w(13). What is the nearest to -2 in z, 0.5, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*u + u - 2, -6 = 4*u + 5*p. Let g = 101 - u. Suppose q + g = 6*q. Solve -4*d + q = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3630 divide 338922210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/2 - 484*x**3\/3 + 2*x**2 + 4093*x + 5830. Find the first derivative of u(k) wrt k.\nAnswer: 6*k**2 - 968*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 25 = 3*p, 0 = -4*p - w + 107 - 110. Solve 0 = 12*k + 83 + p for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 18*(-2)\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674 = -4*l + 58. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(18)\/sqrt(6)*1 + sqrt(3) + sqrt(3)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0 + 1\/6*c**3 + 0*c**2 + 1\/4*c**4 + 2*c. Let q(m) = m**3 - m**2 + 2*m - 1. Let s be q(1). Give f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -103657373?\nAnswer: -103657370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -26. Let c be (k\/(-10))\/(-6) + (-24)\/(-10). Suppose 5*g - 4*w = 54, 5*w - 68 = -4*g + c*w. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 3. Let z be (-81)\/(-18)*4\/(-3). Let h be x(z). Let c be 10*(-2)\/6*h. What is the greatest common divisor of c and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*u + 437*u + 105*u + 55*u.\nAnswer: 700*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s - s)*(9 - 9 + 16*s**2)*(-3*s - 1 + 1).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413410.\nAnswer: 2, 5, 19, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 7\/((-28)\/(-8)). Solve -2*p - g = -5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.0375074.\nAnswer: -0.187537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 875*o**3 - 17840*o**2 - 51120*o + 547200 = 0.\nAnswer: -152, -15, -12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -11*c**6\/3 + c**4\/4 - c**2 + 4*c + 74. What is the second derivative of r(j) wrt j?\nAnswer: -440*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14535, -14481, -14405, -14319, -14235, -14165, -14121, -14115?\nAnswer: -14159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114.74 - 118. Let k = -4.111 - h. Let l = -0.031 - k. Round l to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4861543\/3029 + -1605. Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292 - 288. Sort d, 22, -3 in ascending order.\nAnswer: -3, d, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16*f - 4. Let w(b) = -24*b - 6. Let u(r) = -5*w(r) + 8*x(r). Let v(o) = -o. Calculate u(s) - 6*v(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 3. Let o(v) be the second derivative of 2*v**3\/3 - 3*v**2\/2 + 4*v - 10. Give -3*d(j) - 2*o(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus -0.1137?\nAnswer: -19.1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (5 + -9 + 26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(7*27\/72)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -5)*52\/5. Let l = -12 + 17. Suppose k + h = l*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = o - 3*s, 2*s - 16 = -2*o. Find the third derivative of 2*f**6 - 2*f**2 + o*f**6 - 4*f**2 wrt f.\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132401, -264709, -396987, -529229, -661429?\nAnswer: -793581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 267*v - 271*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-21)\/6) + -3. Let f be o - -7 - 2\/1. Suppose 3*u - f*u = -4. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/(28\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 236751476.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 - 20*g**4 + 10*g**3 + 20*g**2 - 15*g = 0. What is g?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 20610.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -17003*p. Let v(o) = 3*o**2. Give h(v(x)).\nAnswer: -51009*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -38, 1\/28, 87\/4?\nAnswer: 87\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, 1860, 5316, 10156?\nAnswer: 16380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 664\/(-6)*(-21)\/14. Suppose -v = -0*v - 5. Suppose 0 = v*x + 31 - m. Calculate the remainder when x is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5144679 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 248 = -4*c + 4*l, 3*l - 620 = -5*c. Let m = c - 89. Calculate the remainder when m is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 2*j**2 + 5*j**2)*(5*j**2 - 5*j**2 + 3*j**2) - 29*j**4 - 19*j**4 + 8*j**4.\nAnswer: -31*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2357 + 11833\/5. Let l = 0 + -4. Calculate the common denominator of 100\/6 + l\/(-6) and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -22*q + 23. Suppose -7560010 = 3*m - q*c, 2520015 = -m - 0*m + 3*c. What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let x(p) = 52*p**2 - 5*p. Let c(d) = -1743*d**2 + 168*d. Suppose 0 = 55*q - 54*q + 5. Let m(j) = q*c(j) - 168*x(j). Calculate m(o(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*f = 4*n + 1566, -4*f + 3*n + 2095 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k = -51*k - 1. Solve -3 = v + k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 216511 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 752 and 10.\nAnswer: 7520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 <= 675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t + 6 - 1)*(2*t + t - 5*t).\nAnswer: -2*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*q + 1534 + 1574, 4*q = 5*l - 3889. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + 21. Suppose 95 = -r + 76. Let m be 6*(-126)\/49*(r - 2). Calculate the highest common factor of s and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -14261\nAnswer: -3\/14261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -32, -51, -62, -59?\n\"Answer: k**3 - 5*k**2 - 13*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 8*f - 14. Let y be v(-6). What are the prime factors of 149 + -3 - (4 + y)*-1?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -813, 3, -95, -2, 8, -1 in decreasing order.\nAnswer: 8, 3, -1, -2, -95, -813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 217823405 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -5c33308?\nAnswer: 5c3330c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11882 is divided by 233?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Factor 0*c**5 + t*c**5 - 12*c**4 - 3*c**2 - c**2 + 2*c**2 + 9*c**3.\nAnswer: c**2*(c - 1)**2*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3.4\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 813972, 1627941, 2441910, 3255879?\n\"Answer: 813969*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 303*v**7\/14 - 305*v**3\/2 + 2*v - 270. Find the second derivative of p(w) wrt w.\nAnswer: 18180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 - 1. Let c(t) = 4*t**2 + 3. Let b(s) = 0 + 7 + 14*s**2 - 2*s**2 - 3*s**2. Let v(y) = 3*b(y) - 7*c(y). Calculate v(p(f)).\nAnswer: -25*f**4 + 10*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 - 3 = -q, -2*q - 3*g = -16. Let n(c) = c**2 + 9*c + 10. Calculate the least common multiple of q and n(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23856412\/5 and -4771281 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7279895 is divided by 108?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 31)*(-2)\/(-4). Suppose i - 3 = 5*a. Solve 3*n - 2 = -a*f, -7*f = 5*n - 2*f - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156579936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -29*r + 17. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v + 3*v**2 + 9 + v**3 + 13 - 16*v in the form r*v**2 + t*v + l*v**3 + x and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-150)\/(-9))\/(-5)*-3. Let u be (3\/n)\/((-6)\/(-16)). Which is the second biggest value? (a) -2 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3372\/240 - 4\/80)*(-4)\/(-40).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 0, 3*l + 3 = -5*o + 21. Let v(t) = -t**2 + 8*t - 5. Calculate the remainder when v(l) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*y - 249 = 0, 4*z - 309 = -0*y - y. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.89 + -1.29. What is the closest to 0 in g, -1, -35\/3, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 137*s + 12645. Calculate m(122).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -502 + -331. Let h = z + 1662. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14616 - -4?\nAnswer: 14623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-8)*(-69 + 120978\/1755)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (22 + 589\/(-76))\/(115\/(-20) + 5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-80)*(-1)\/(-2)*5. Let s(d) = 28*d**3 - d**2 + d + 1. Give s(l).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 8 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-12)\/5))\/(1\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.75 - -0.15. Let c be (-14)\/(-16)*(-24)\/(-84). Let z = 5.3 - 2.3. What is the closest to n in -0.3, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6625479*u - 32901861?\nAnswer: -6625479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -30*s**3 + 7*s**2 + s - 3. Let g be t(-5). Suppose -588 = -5*w + g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**3 + 15*x**2 - 62 + 42 + x - 8*x**3. What is t(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1126 + 12987. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 630, 1252, 1886, 2538, 3214?\n\"Answer: v**3 + 615*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a (base 13) to base 9.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(270) + sqrt(270) + sqrt(270)*-2 + sqrt(270)))\/(sqrt(640) + (sqrt(640) - 1*sqrt(640))))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*-2*sqrt(171)*2.\nAnswer: -300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -10*g + 1\/2*g**2 + 8. Give r(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 29 = -2*g, 3*n + 16 = -5*g - 48. Suppose 3*z + 2*z + 60 = 0. Is z != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 2*w + 9)*((2*w - 3*w + 2*w)*(-6 - 4 + 4) - 1 - w + 1)*(6 - 3 - 1) in the form i*w + q + k*w**2 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 smaller than -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 - 4*k + 3. Let r be v(-4). Let i = 232 + -105. Let q = i + r. What is the remainder when q is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -249 (c) 6 (d) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1413*y = -1435*y + 396 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:17 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/20*2\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 3515.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 9*y**2 - 8*y. Let s be -20*(-26)\/(-195)*3. What is d(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308 + 311. Let s(f) be the third derivative of 0*f - 2\/3*f**a + 0 - 2*f**2 + 1\/8*f**4 - 1\/60*f**5. Determine s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/85 - (-2 - (-36)\/(-10)). Suppose l = 5*c - 4. Let q be (-5)\/c*64\/80. Let g(r) = 5*r**2 + r - 1. Determine g(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 615*v - 249*v - 301*v - 585 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 6727243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) + (-6)\/(-126). Which is greater: o or -19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2625 (base 12) to base 9\nAnswer: -5862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*d - 15, -4*d = 7 - 3. Let s be (90\/24)\/(7\/128). Let x = -69 + s. Sort i, 2\/7, x.\nAnswer: x, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 0*s**2 + 2*s**3 + (-382 + 4*s**2 + 383 + 18*s + 5*s)*(-120*s + 454*s + 13*s) to the form u + i*s**2 + t*s**3 + v*s and give t.\nAnswer: 1390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2*91*(-62)\/6944)\/(1\/36)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 805435 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:25 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 17. Let i be g(-4). Find u such that -7\/3*u**i + 4\/3*u + 0 - 4*u**2 = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + (1 - 4) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -57, -70, -67, -42, 11?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7657, 15260, 22863, 30466, 38069?\n\"Answer: 7603*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 9*k - 75. Suppose -v = -4*c + 32, k*c + 3*v - 6 = 6*v. Solve -11*n = -c*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 1, p: 3, y: 2}. What is prob of sequence byp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -13.604?\nAnswer: 15.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*t - 21*t - 9*t**3 + t**4 + (2*t - 4*t + 3*t)*(3*t**2 + t**3 - 3*t**2) - 3*t + 2*t**4 + 3*t.\nAnswer: 4*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**2 + 3*i**2 - 2*i**2)*(0 + 5 - 6)*(-2 - 1 + 0) in the form l*i + n + x*i**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1814 divide 36996530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3017?\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/4*(-14)\/(168\/(-15318))?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -15*j**5 - 130*j**4 - 270*j**3 - 180*j**2 + 5*j + 30 = 0.\nAnswer: -6, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - x - 3*x**3 - 2*x**2 + 7*x**3 - x**3 + 0*x as a + z*x**2 + b*x**3 + s*x + v*x**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - -15)\/(2\/6). Which is the second smallest value? (a) -1\/4 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549312920 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 21*q**3\/2 - q**2 - 4927*q + 1. Let i(g) be the first derivative of 2*g**3\/3 + 1. Calculate h(i(v)).\nAnswer: 126*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 3*h**2 + 3 - 15*h**3 - 205574*h**4 - 205552*h**4 - 4 + 411098*h**4 as a*h**4 + c*h + s*h**3 + k*h**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3520 + 5334. Suppose -9*f = -p - 553. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 + -640. Let b = v + 813. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -15. Suppose 0 = -4*j - 4*w + 24, -8 = -w - w. Let u be -1 + j + 2*10. Calculate the highest common divisor of u and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*c - 26. Let v be 9\/c - (-10)\/(-20). Solve 6 = 5*x - v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281310*i**5 + 570*i**2 + 55*i - 2 wrt i.\nAnswer: 16878600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.9 (b) -0.2 (c) 1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -566989*q**2 + 902*q + 451. Let a(f) = -2520*f**2 + 4*f + 2. What is 451*a(c) - 2*x(c)?\nAnswer: -2542*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6229?\nAnswer: 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/2 - 15377*o**3\/2 + 138447*o**2\/2 - 415395*o\/2 + 207711 = 0. What is o?\nAnswer: -15386, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*z**2 - 10*z.\nAnswer: -z*(17*z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1.089, -2\/9, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00768740143 to 7 dps.\nAnswer: 0.0076874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -106206.491 rounded to the nearest one thousand?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1349 = 3*d - 5*d, -678 = -d + 4*l. Suppose 2495 = 3*n + d. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m**2 - 6731*m + 843637. What is z(305)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084557494.\nAnswer: 2, 3, 1103, 314983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*w - 10, 3*w = 4*n + 2*w - 25. Suppose i + n*v - 196 = 0, -2*i + 5*v = v - 364. Suppose -105 - i = -3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*k**5*q**2 - k**3*q**2 + k**3 + 825*k**2*q**2 wrt k?\nAnswer: -3240*k**2*q**2 - 6*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 - 86*n**2 + 834*n + 918 = 0.\nAnswer: -51, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 + 244. What is the highest common factor of 165 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 7*v - v)*(-22735 + 22735 - 1978*v) in the form d*v + j*v**2 + t and give j.\nAnswer: 7912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 739*q**3 + 411*q**2. Let z(y) = -185*y**3 - 103*y**2. Let b(h) = 2*j(h) + 9*z(h). Find the third derivative of b(w) wrt w.\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 41. What is the third derivative of 14*l**2 + 3*l**5 + 5*l**5 + o*l**5 wrt l?\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 2*g - 6. Let b be i(-4). Let t = -66 + b. What are the prime factors of t + 315\/6 + (-2)\/(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -4. Let k = 40 - -7. Calculate the remainder when k is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55687193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1992 + -1992. Let j = -11 - -17. Let n be 5\/j + (-2)\/3. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7747 + 702 = 71*f. Suppose -84 - 18 = -3*h - n, -2*n = -h + 34. Calculate the greatest common factor of h and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63955644?\nAnswer: 2, 3, 727, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 249 + -116. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.050418 - 0.050418. Let n(f) = -f**3 - 2*f**2 + 5*f + 3. Let w be n(-3). Let t = -4 - -4. What is the closest to o in -6, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 22 = -3*x, -p + 1 + 9 = x. Solve -21 = -7*k + x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 101*d - 114*d - 11 + 1. Let v be r(-1). Calculate the greatest common factor of 72 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2313 (base 15) to base 9\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 170722, -1\/107, -1\/6?\nAnswer: 170722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -585 - -589. Let m(s) = -2*s**2 + 5*s + 2. What is m(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**2 + 13*c + 12. Give b(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2 - -6)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 92 = s. Factor -97*a**2 + 46*a**s + 16*a**3 - 10*a**4 + 2*a**5 + 43*a**2.\nAnswer: 2*a**2*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*m + 2, -11*m = 2*b - 8*m - 18 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 16) in base 13?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11863, -5, 0.3 in ascending order.\nAnswer: -11863, -5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(20)*5)\/sqrt(4) + -4 + -3*4*(sqrt(605) - (-1*sqrt(605))**2).\nAnswer: -112*sqrt(5) + 7260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -439 greater than or equal to -439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(2*k + 0*k - k)*(-5 - 20 + 10).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 + u - u + 9*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -434304*r + 434321*r - 153 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 6*g + x + 23, -4*x + 13 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -55 (b) 3523 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**21*a)\/a)**(-13)\/(a**24\/((a**(-15\/8)\/a)\/a)) assuming a is positive.\nAnswer: a**(-2407\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 5, 32 in increasing order.\nAnswer: -4, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + 11*i**4\/12 + i**3\/6 - 8*i**2 - 2*i. Let s be o(11). Is -1 + s\/(5\/(-48)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*o - 8 = c, 2*o + 5 = -c. Let i(b) be the second derivative of 25*b**3\/6 - 182*b. Let m(w) = w. Determine c*i(g) + 30*m(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-8))\/(1\/(-4)). Let r be (3\/9)\/(2\/(-6)). Let g = d - r. Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/27 + 6\/(-27). Suppose 5*u = 2*u - 45. Let v be (-2)\/(-6) + (-1)\/u. What is the third smallest value in v, -0.4, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*-0.112.\nAnswer: -7.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 383, 718, 1047, 1370, 1687, 1998, 2303?\n\"Answer: -3*k**2 + 344*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 983 divided by 57141.\nAnswer: 983\/57141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b**2 + 20*b**2 + 81*b**2 + (-2 + 2 - 2)*(-19*b**2 + 12*b**2 - 21*b**2) + b + b**2 - b in the form q*b + p + y*b**2 and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/900*6*25\/(-15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 2*s**2 + 2*s - 2. Let i be o(2). Let z = 2 + 2. Suppose i*n - 2*w = 8, w - 6 = -2*n - z. Solve -j + 2*x - 6 = -0, -2 = j + n*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - 6*p**2 + 11*p)*(-22 + 7 - 28).\nAnswer: 258*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -413 + 86. Let r = -61 - b. Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 394158081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/246*14\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 8*g - 35)*(0 - 4 + 3)*(-g - g + g) to a + z*g + d*g**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2. Let u(k) be the third derivative of 9*k**6\/40 - 16*k**3\/3 + 31*k**2. Let g(m) be the first derivative of u(m). Give g(f(w)).\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1333, -1264, -1199, -1138?\n\"Answer: -2*v**2 + 75*v - 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a*q**3*v + 965*a*q**3 - 100*a*q*v - 2*a*v - 2*a wrt v?\nAnswer: -9*a*q**3 - 100*a*q - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -23*r**7\/42 - 5*r**4\/12 + 9*r. Find the third derivative of s(y) wrt y.\nAnswer: -1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18478995 by 173.\nAnswer: -106815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 10. Let a be k(8). Suppose -1405688 = -4*f + a*f. Let j = f - -897156. Round j to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/18 and -41\/1409032.\nAnswer: 12681288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-2618)*14)\/(-1) - ((-24966)\/3102 + 8)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**4 + 25*o**2 - 4*o**4 - 9*o**2 wrt o?\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1, -0.1, -1120, 0.4, -35.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - 3) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q*q*q)\/q*q**3)\/(q**(1\/4))**(-1\/2) assuming q is positive.\nAnswer: q**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:20 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*v - 5*v = -50, -2*o = -4*v - 38. Suppose -4*l = -4*p - 8*l + 120, -4*p - 3*l = -116. Calculate the greatest common factor of p and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 2 + 2 + (-2 + 0 + 1)*(5*r - r + 7*r))*(-2 - 2 + 1)*(1 - 1 + 2) in the form w*r + b and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -45. Calculate the remainder when 34 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (197 - 122)) + 138.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 6*w + 6. What are the prime factors of p(-4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*s + 0)*(-3 - 1 + 3)*(55 + 173 - 59) as y + g*s and give g.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m + 53*m = 112. Let n be m + -6*(2 - 0). Sort n, 5\/4, 2\/21, 0 in decreasing order.\nAnswer: 5\/4, 2\/21, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889\/(-214)*(-208)\/39?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1896 divided by 8.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 116852.9105 to the nearest 1000.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 308325239 a multiple of 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p + p)*(0*p + 2*p - 3*p - 5*p + 3*p + p + (5*p - p - 2*p)*(-6 + 1 + 3)) - p**2 - 3*p**2 + 6*p**2.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r - 101. Calculate l(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 46?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 19 - (30 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/(-14) - 1)\/(6\/21). What is the biggest value in 0.2, 2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**3 - k**2 - 4*k + 6. Let d(f) = 12*f**3 + 2*f**2 + 9*f - 13. Let o = 5218 + -5205. Give o*m(t) + 6*d(t).\nAnswer: -6*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67770738 by 6.\nAnswer: 11295123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 31545?\nAnswer: 126180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/11)*d*d**(5\/3)*(d\/d**(-2)*d)**(-14)*((d*(d\/(d\/d**(-1\/6)))\/d)\/d**4)\/(d\/(d**(-2)\/d))**(-6) assuming d is positive.\nAnswer: d**(-711\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 39*g**2 - 113*g**2 + 0*g + 36*g**2 - 2*g**3 - 245 + 40*g**2 as p + n*g + v*g**3 + t*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3430 + -1?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-6) - (-35)\/(-15). Let v(r) = 36*r - j*r**2 + 38*r - r**2 - 74*r. Let x(w) = 0*w**2 + w**2 + 2*w**2 - w**2. What is v(x(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37216728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20049984 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2885 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let d be ((-9)\/15)\/(v\/5). Solve -d*r + 7 = 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnppnnnnnnnnnnp. Give prob of picking 1 p and 1 n.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/((-1)\/(-6))*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-8))\/((-4290)\/(-3900) + 2\/5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*g + 12 + 14 = 0, 0 = -4*n - g + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4 + 1 - 3 - 2*v - v**2 + 2*v**2. Let y be f(-4). Solve -2 + y = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 - s**3 + 0*s**2 + 4*s**4 + s + 2*s**2 in the form w + g*s**2 + p*s + o*s**3 + j*s**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -8 + 172*w**2 - 92*w**4 - 49 - 11 + 284*w**3 - 28*w**5 - 12 - 256*w = 0.\nAnswer: -5, -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 15*a - 4*a - 11*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*s + 20537, 0*s + 51323 = 5*s - 4*i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(9*y**2 + 1 - 4*y**3 - 9*y**2) + (-1 + 1 + 7)*(-y**3 - 2*y**3 + 5*y**3).\nAnswer: 18*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -55440?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (315\/7)\/((-135)\/54)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/120 - 2*a**5\/15 - 5*a**4\/12 + a**3\/3 + 2*a**2. Calculate the remainder when c(-7) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 4. Let a(r) = -12*r + 11. Let y be 150\/45*6\/4. Let d be 3 + (-3 - y\/((-10)\/(-8))). Give d*a(m) + 11*p(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -202 + 330. Let c = -70 + q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144\/23 + 311\/46. Factor t*q**2 + 0 + 0*q + 1\/2*q**4 + q**3.\nAnswer: q**2*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.879 + -0.121. Let v = x - -64.8. What is the nearest to v in 1, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4881.\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 914.\nAnswer: -5\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(6*sqrt(49)\/sqrt(7) - sqrt(7)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 112702254 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 86 - 58 = 0. Suppose -5*z + 45 = 15. Calculate the highest common factor of q and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = -3*f, f + 16 = -3*j + 5*j. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (110 - 2) + -81 + 31\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 90, 0.2, -60, -0.07?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 768*x + 1092. Does 159 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 179, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -8, -9\/2, 93?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76, 110, 144, 178, 212?\n\"Answer: 34*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 45 = 5. Let d = m + -4. Let k(a) = -d*a + 6 - 6. Let l(h) = -2*h**2. Calculate k(l(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/((-870)\/100 - (-90)\/10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*d + 9. Let v be (-10)\/30 + 1\/d. What is c in -48*c - 37 - 15*c**2 + v*c**3 - 3*c**3 - 6*c**2 + 1 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8309, 8352, 8407, 8480, 8577, 8704, 8867?\n\"Answer: q**3 + 36*q + 8272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/14507117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 229 = -f + 18*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from zzzzmemzezzmzzz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 42792498?\nAnswer: 42792498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 42. Solve j*m = -a + 11, 2*m - 17 - 5 = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/104)\/(52*31\/272428)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38779637.\nAnswer: 13, 2983049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 8*g**2 - 14*g + 101. Is 13 a factor of z(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126, -263, -406, -555, -710, -871, -1038?\n\"Answer: -3*x**2 - 128*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*n + 1)*(0*n - 4*n + 2*n) + (n**2 - 2*n**2 + 3*n**2)*(3 - 2 + 0) - 3564 + 3564 + 120*n**2 as a*n**2 + j*n + o and give a.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -100424, -100419, -100414, -100409, -100404, -100399?\n\"Answer: 5*j - 100429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 divided by -262?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/75 in 0, -11, -0.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from soss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5997 is divided by 662.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 31536?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/350*-1*35 + 120\/(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 31) + 13 + -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**3 + 1\/4*y**4 + 0*y**2 - 13*y + 0. Let o(q) = 5*q. Calculate o(s(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18316584 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 28 - 13. Suppose -47 = -2*p + t*w, 4*p = 4*w - 7*w + 159. Suppose -30 + p = 3*y. Solve y*c - 2 = 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3228240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 49*q - 1. Let t(g) = -3824*g + 2*g**2 + 3824*g. Determine b(t(m)).\nAnswer: 98*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 35853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47978 - 16936246\/353. Let h be ((-9)\/8)\/((-2118)\/12066). Let w = h + x. What is the common denominator of 21\/4 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 7*d + 8*d + 1136, -4*d + 301 = p. Suppose 2*o - k - 231 = 0, 3*o + 5*k = p + 94. What are the prime factors of o?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 6, u: 4, o: 3}. What is prob of picking 4 b?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 3587 = 27*s. Solve 6*m = 181 - s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 1\/2 (c) -9 (d) -2.8 (e) 2\/5 (f) -30\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, w: 5, i: 11, o: 1, p: 2}. What is prob of picking 2 i, 1 o, and 1 w?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + s + 1 + 6 + s. Let h be r(7). Suppose h = 4*c - 8 - 0. Solve -5*z + 7*m = 2*m - 15, -5*z = c*m + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)\/r)\/(r*r**(-1\/6)))\/(r**(-1\/2)*r**6\/r) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29622675 and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**3 + 68*o**2 + 163*o + 195. Let s(h) = 3*h**3 - 23*h**2 - 54*h - 65. Let t(v) = -7*s(v) - 2*w(v). Let x be t(27). Solve 8*j + 27 = x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Suppose -p*f = -7*f - 20. Let v = -5 - f. Solve v = t - 1 - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 4 - 4 + 28*r**3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d - 14. Let y(i) = 3*i + 5. Calculate -5*p(h) - 14*y(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1620 divided by 477710\nAnswer: 162\/47771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/811505 and 82\/1635.\nAnswer: 2434515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g**2. Suppose 58 + 4 = t - n, 3*t - 2*n = 182. Let c = t - 57. Give i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 - 38 + 45 + 4*q**2)*(-4*q + q**2 + 4*q).\nAnswer: -q**4 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -101122212 (base 3) to base 4\nAnswer: -1321130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - -45) + 42 + 1 + 50?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 - 301. Which is smaller: 7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48840 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*6\/(-72))\/(16\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*w - 23 = 0, 5*z + 14 = -4*w - 1. Let b be 0\/((-3 + 2)*z). Suppose q - 2 - 2 = b. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/45)\/(4253\/2127 + -2). Let l = -706 - w. Solve -u + 6 = -l*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/((-1)\/3). Let u be (-12)\/16 + (-8202)\/(-1080). Let c = u + -58\/9. Sort 4, c, t.\nAnswer: c, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 1 - 15. Let w(g) = 20*g**3 - 5*g. Let l(b) = 10*b**3 - 2*b. What is x*w(n) - 5*l(n)?\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0 + 7\/6*x**3 - 17*x + 43\/6*x**4 + 13\/2*x**2. Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 - 5*x + 18. Determine r(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 472.7 + -501. Let g = -28 - y. Let t = 3 + -2. Which is the closest to t? (a) g (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 37*h + 3*k + 12 = 0, -5*h - 3*k - 15 = 0. Let i(m) = 3*m + 0 - 5 + 4 + 4. Determine i(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slssslrrssdl. What is prob of picking 1 l, 1 s, and 1 d?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 39624 = 6*i. Suppose -3814 + 12081 = 5*q + 2*p, -3*p + i = 3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 22. Let k(v) = v**2 - 7*v - 4. Let i be k(8). Suppose -54 = -i*s - 10. Let u be y(s). Are -1\/5 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5\/8)\/p)**(-2\/97) assuming p is positive.\nAnswer: p**(5\/388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 68*h + 7063. What is z(-104)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 386563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106.0310556 - 0.0603444. Let g = -0.1914 - x. Let k = 98 - g. What is k rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 - -147310?\nAnswer: 147271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1286 - -1291. Solve 0 = 3*j - 4*k - a, j + 3*k = -3*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y - 5*p - 55 = 0, 0 = 4*y - 5*p - 45. Calculate the greatest common divisor of y and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195998562 divided by 2?\nAnswer: 97999281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25\/22 + -4\/11. Put -2, 3\/7, f in ascending order.\nAnswer: -2, f, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziz when three letters picked without replacement from {i: 3, z: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*r**5 + 2*r**5 - 5*r**2 - 2*r**5 + 5*r**5 wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7268589 is divided by 110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t - x, 0*x + 19 = 4*t + 5*x. Suppose 54 = 3*y + t. Let i = -13 + 18. Solve i*u + y = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from ngsaaiiasgngi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -k + 52, -29*k = -24*k - 5*s - 275. Calculate the highest common divisor of 1179 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 4 + (6 - 4 - 3)*(-1 + 1 + 3))*(-4*f + 5*f - 2*f) as y + n*f and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000913 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + u + u)*(u + 4*u - 3*u) + 707*u**2 + 523415*u - 523415*u + (-12*u + 3*u - 5*u + u)*(2*u - 3*u + 4*u) in the form k + d*u + f*u**2 and give f.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.75975 - -9875.74011?\nAnswer: 9869.98036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, 642, -0.3, -1\/3.\nAnswer: -2, -1\/3, -0.3, 16, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87.5 - 70. Let p = n - 14. Let j = p + -4. What is the nearest to -1\/4 in j, -3, 11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -13, -22, -31, -40?\n\"Answer: -9*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:12 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (2 - 42)) + (156 - 94 - 48).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 290 = 4981. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*j - 8 + 58, -5*q - 2*j = 111. Let i = q + 58. Calculate the highest common divisor of i and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:53 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4, -5*p + 184 = -2*l + 21. Let y = -68 - l. Suppose 118 = y*m - 9*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + h = -11, -64*v + 66*v + 3*h = 7. Sort -391.3, 4, v.\nAnswer: -391.3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1930 = 2*q - 5*t + 2070, -q - 2*t = 2009. What is the units digit of q\/(-15) + 2\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 267*j**3 + 5178*j**2 + 24192*j.\nAnswer: 3*j*(j + 7)*(j + 18)*(j + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445384 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: Calculate prob of sequence rwa when three letters picked without replacement from {g: 1, r: 3, a: 8, n: 2, m: 2, w: 4}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:52 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j + 5. Let h(y) = 4*y - 3. Let m(a) = a. Let u(v) = h(v) - 6*m(v). Let l(n) = 3*f(n) + 5*u(n). Let b(t) = -8 + 3 + 5 - 2*t**2. Give b(l(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-4))\/(2*114\/144 - 5\/4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 3, -2, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 - 0)) + 39 + -42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/(4\/(-6))*-2. Suppose i - 2*i - a*i = 0. Suppose -40 - 38 = -3*j - 3*z, -3*j - 5*z + 84 = i. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200029 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 30*n**2 - 111*n + 123. Calculate k(33).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elllllllelllllllelel. What is prob of picking 3 l?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56486, 112686, 168886, 225080, 281262, 337426, 393566, 449676?\nAnswer: 505750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (199 - 202)\/((-3)\/(-19)) + -13\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36827, 1\/5, -16.2 in descending order.\nAnswer: 36827, 1\/5, -16.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (5 - (0 - -2)). Let y = k + -8. Let c(q) = -3*q + 5. Does 17 divide c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 6, -f + 10*i + 334 = 9*i. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-550)\/(-44)*(-6 + 282).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (293\/3)\/(2\/6). Let k = 203 - x. Let a be (k\/(-4))\/(6\/8). What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3132533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 16 + 9 + 73*v to j*v + b and give j.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*n - 17499 = 8231 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 8*b**2 + 8*b + 4. Let x = 15 - 22. Let j be t(x). Let f(l) = -2*l - 3. Let w be f(j). Solve 5*p - 35 = -2*g, w*p + 5*g = -2*p + 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/42)\/5)\/((-24)\/(-48))*-49?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/11 - 8268*j**4\/11 + 303388*j**3\/11 - 860576*j**2\/11 + 844050*j\/11 - 278596\/11 = 0. Calculate j.\nAnswer: 1, 34, 4097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8042 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 737c?\nAnswer: 7383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -7\/4, 8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 68*i**7\/21 + i**5\/20 - 5*i**4\/3 + 41*i**2\/2 - 569*i - 3. Find the third derivative of y(q) wrt q.\nAnswer: 8160*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 - -159. Let p = y - -340. Let o = p + -243.1. Round o to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 76*v**3 - 665*v - 25*v**3 + 216*v**2 + 464*v**2 - 1350 - 26*v**3 - 30*v**3 = 0?\nAnswer: -1, 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/60 + 37*w**2. Let h(g) = 17*g. Give p(h(d)).\nAnswer: 289*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7028.5023 to the nearest 10.\nAnswer: -7030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33005 and 575.\nAnswer: 165025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {j: 2, e: 2, d: 1, p: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 + 2*f**2 + 2*f - 2. Let g be h(-5). Let a = g - 318. Suppose -j = 3*j - a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 - 21139422*v - 37239596874507 = 0. What is v?\nAnswer: -3523237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*n + 297*n + 11760 = 282*n for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z + 4850 = 29*z + 5*m, 0 = -3*z - 5*m + 2906. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3125*d**3\/6 + 10500*d**2 - 52920*d = 0.\nAnswer: 0, 252\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4)\/2)\/((-38)\/19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335488 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31963 divided by -6\nAnswer: 31963\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 148*u**2 - 22*u + 10*u + 11*u + 158*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287 - 1026 + 69)*(-7*q + 4*q**2 - 5 - 8 + 15).\nAnswer: -2680*q**2 + 4690*q - 1340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-4*z - 8*z + 5*z) + (16*z - 46 + 46)*(4 - 6 + 19).\nAnswer: 286*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 30 + -11 + -6 + 13\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 45\/(-10))\/((-5)\/10). Let s(v) be the second derivative of -v - 1\/6*v**3 + 0*v**2 + 0. What is s(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*y - 9 = 0, -3*y - 11 + 2 = -3*z. Is 14 a factor of z\/(-2)*84\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/((-10)\/4))\/(0 - -2). Put 4, -6, -16, t in descending order.\nAnswer: 4, t, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 34*k**2 + 147*k - 42. Determine j(-29).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -16. Is -2 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807531366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -0.1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 + u**4 - 5*u**3\/3 - 9*u**2\/2 + 4*u. Let r be i(11). What is the greatest common divisor of r and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-90))\/((9\/27*-2)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -300 - -316. Calculate the highest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**4 - 19*b**3 + 31*b**2*r + 92173*b*r wrt b?\nAnswer: -36*b**2 - 114*b + 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150381*k**2 - 4*k + 6*k + 149824*k**2 + 9*k**3 - 300564*k**2.\nAnswer: 9*k**3 - 359*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v**3 - 8 + 4)*(-3*v - 10*v + v).\nAnswer: -12*v**4 + 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -44545939 times 5?\nAnswer: -222729695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1137, -1106, -1075, -1044, -1013, -982?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11420247 or -102782225\/9?\nAnswer: -11420247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4522 * 0.315.\nAnswer: -1424.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 1200 - 1350 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -35, -81, -145, -227, -327?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 5*c**2 + 6*c - 15. Let l be h(5). Determine p, given that 16*p + 4*p**2 - l*p - 5*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 239.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2. Let f(a) = -28*a**2 + 3*a + 5. Let r(x) = -15*x**2 + 2*x + 3. Let z(m) = -3*f(m) + 5*r(m). Give z(k(g)).\nAnswer: 36*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p*s*v + p*s - 2*p*v**3 - 130*s*v**3 + 2*s*v wrt v?\nAnswer: -12*p*v - 780*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3895 rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4*k - 276 = 0. Suppose 6 = -6*u + 9*u, 4*g = -2*u - 364. Let m = g - k. Solve 3*w - 7*w = m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1 + 5 + 4 - 2611*u**2 - 2*u. Let b be p(6). What is b rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 28*q - 71. Let u be c(-3). Let g(n) = 2*n**2 + 12*n + 4. Determine g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 16. Let k be n(16). List the prime factors of 18\/(-4)*k\/(-30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let x be (2\/6)\/(4\/(-6)). Let g = 477 + -479. Which is the closest to -0.1? (a) d (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -362\/19?\nAnswer: -362\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccf when four letters picked without replacement from fffffffcfffcffcfff.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15\/8 (b) -1\/2 (c) 1\/3 (d) -2\/9 (e) 1300\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/7 (c) -0.6068 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 106*l - 15856 = 3800. What is the remainder when 371 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1.9, -639 in descending order.\nAnswer: -1\/2, -1.9, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/7 + x**2\/7 - 5*x\/7 + 3\/7 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = 38*y - 15. Suppose -y*a = 4*g + 5, g = -2*a - 1 - 4. Let p be 3 + -1 - (3 + 11). Put 1, p, g in descending order.\nAnswer: g, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 + 130.72. What is the second biggest value in h, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 19052.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11181596 to the nearest integer?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 1. Suppose 8 = 5*g - 32. Let f(k) = 6*k + 3. Suppose 2*d + 3*i + 1 = 10, -35 = 5*d - 4*i. Give d*f(z) + g*o(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkrfrfrrrggrrkrrfg. What is prob of picking 2 k and 2 f?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - 4 - 2*n**2 + 5 - 3 + n to the form c*n**2 + l*n**3 + g*n + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 2*n**2 + 7*n - 43. Calculate h(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 2*w)*(2*w - 15 - 17 + 16) + (-4 + 4 - w)*(2 - 2 - 2*w).\nAnswer: 4*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/87 and 3\/(-21) - 0 - 80\/(-8988).\nAnswer: 9309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2600 (base 7) to base 16\nAnswer: -3d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6743413 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5057249 is divided by 711?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -59\/7 (b) -2\/2895 (c) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18639*-0.5.\nAnswer: 9319.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(36)\/(sqrt(2)*1) + (sqrt(216)\/(sqrt(60)\/sqrt(5)) - sqrt(18))**2 + 0.\nAnswer: -4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is c29 (base 13) in base 9?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 35. Suppose 3*i = -2*i - 2*l + 34, 20 = 3*i + l. Suppose b = i*b - 20. Solve p = -b*p - f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3973.998479 + 3974. Round f to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 82.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*z**2 + 3*z**2 + 61*z**2.\nAnswer: 149*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*m - 10757 + 761 = 0 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*h + 700, 0 = 3*o + 2*o + 2*h - 908. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.1. Let x be 1\/(-3) + 26\/6. Let g = 0.319 + -0.219. Which is the closest to 4? (a) x (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136346000 to the nearest 100000.\nAnswer: 136300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 + 369?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5 - 2*f**4 - 74*f**3 + 400*f**2 - 575*f + 250 = 0. What is f?\nAnswer: -10, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 92095771639?\nAnswer: -92095771639.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 25*k + 89. Let x be z(-21). Suppose 75*w = 80*w - x*m - 7525, w - 1511 = -2*m. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -9)*(-104 - -103)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(500))*6 + -5 + -3).\nAnswer: -120*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.7722 to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -739975 - 29537. Let n = -1667504 - d. What is n rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 37, 54, 69?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 - 119*n**2 + 76*n + 79. What is h(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 2\/13, -1\/301, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9437245*r**2 + 2899162*r wrt r.\nAnswer: -18874490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - 229.1. Let k = 18.0966 + n. Round k to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 3*p**2 - 3*p**2 + (-6*p**3 + 0*p**3 + 4*p**3)*(-4 + 2 + 4))*(-8 + 5 - 11).\nAnswer: 42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 941*n - 66489. Determine x(-384).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -460, -3534, -11756, -27700, -53940, -93050, -147604?\n\"Answer: -429*t**3 - 71*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -980, -16 in decreasing order.\nAnswer: -4, -16, -980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 4)*3\/(-9). Let s be (1 + 0)*(d + 2). Let f be (-3)\/((-6)\/4) + s. Solve -3*v - 2*b = 11, -v - 6 = f*b - 0*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-11 - -28) + 1 + -5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.4. Suppose -70*d - 7*d - 93*d = 14*d. Sort r, d, -11 in decreasing order.\nAnswer: d, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10481604 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 15 + -10 + 3 + -2 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - k - 180, 0 = 3*m + k - 108. 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: Let u(g) = -85*g - 3901. Determine u(-15).\nAnswer: -2626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/120 + i**5\/60 - i**4\/8 - i**3\/3 - i**2. Suppose 0 = 8*u - u + 14. Let v be g(u). Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1644\/2341 + 93838235\/21069. Let z = -4460 + v. Find the common denominator of z and 47\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -60, -134, -268, -480, -788, -1210?\nAnswer: -1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2525457 and 67\/66.\nAnswer: 5050914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 + g**3 + 14*g + g**3.\nAnswer: 2*g**3 + 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 43, -2, -4, -3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*r + 2*r, -2*r - 901 = -3*o. Let x(s) = -10*s - 4*s**2 + o - 292 + 10*s. Let t(d) = 6*d**2 - 7. Calculate -5*t(n) - 7*x(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3488, 7092, 10788, 14570, 18432?\n\"Answer: -h**3 + 52*h**2 + 3455*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwllgglgggg. What is prob of sequence wlgg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74390559?\nAnswer: 3, 43, 576671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*s + 1 - 36, -5*s - 3*l = 10. Let z = -12 - -11.7. Which is the nearest to -1? (a) z (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1823544466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.1, -0.03, 1\/4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 45*o - 15. Determine b(-16).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = m - 3*m - 2, -3*y = m - 9. Let f(h) = 5 + h**y - 4*h + h - 3*h. What is f(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -8393017380?\nAnswer: 8393017379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/3 - 74*r\/3 + 1369\/3 = 0. What is r?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35895 = -4789*r + 4784*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 5*v**2 - 22*v - 22. What is x(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 - 2 - 430*u**3 - u**2 - 382*u**3 + 0*u**4 + 911*u**3 in the form j + n*u**4 + w*u + d*u**3 + c*u**2 and give d.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (324\/8)\/(-9)*(-6)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4443114 divided by 3\nAnswer: -1481038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from {z: 3, p: 1, r: 3, i: 2, b: 2, e: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 72*y**2 + 395*y - 41. Let k be d(-66). Which is the closest to 0? (a) k (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + -13 + 8 - (0 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.005763 grams to micrograms.\nAnswer: 9005763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 64*d**3 - 14*d**2 - 2982*d - 28. Let c(a) = 23*a**3 - 5*a**2 - 994*a - 10. Calculate -14*c(l) + 5*h(l).\nAnswer: -2*l**3 - 994*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20 + 14)\/(3\/(-2)). Suppose 2*z + 448 = o*z. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 446? (a) 4 (b) -7.59 (c) -3 (d) -0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*p + 26*p + 29*p - 96*p - 2055*p**2 + 40 wrt p?\nAnswer: -4110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1076406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*2\/(-4))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r - 67. Let f = -31 - -137. Let d = r + f. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*o + 18*o - 19*o)*(o - 2*o + 2*o) to v*o**2 + a*o + t and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3499 + 3651 = 2*o. Let u be 365\/4 + (-2)\/8. Let v = u - o. What is the greatest common divisor of 75 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -6*v + 78. Suppose 0 = 11*k - v - 5. Suppose -4*x + 56 = k*x. Calculate the lowest common multiple of x and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/((-7000)\/(-60)))\/(-5*4\/20)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 617568 and 11520?\nAnswer: 74108160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2*p**2 + 1 - 10.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 69*z**2. Let w(f) = -2*f + 6. Let h(a) = -2*a + 2. Let j(p) = -3*h(p) + w(p). What is j(i(k))?\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6337 times -0.2?\nAnswer: -1267.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 136663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 - 340\/34?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1193 + 1195. Find i, given that 15\/8*i**w + 3\/4*i + 3\/2*i**3 + 0 + 3\/8*i**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**4\/12 - 55*d**2. Let s(n) be the third derivative of n**4\/12 - 2*n**2. Give m(s(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/2*14\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-82)\/8)\/((-1)\/4). Suppose -j = -2*t - 29. Let d(v) = -v - 10. Let n(c) = 12*c - 4 - 5 - 13*c. What is t*d(h) - 7*n(h)?\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3, 5*s + 4*q = -0*q + 9. Let x be 1*s\/(-2)*-6. Suppose 6 = l + x. Solve k - 2 - 21 = -4*c, -l*c = -2*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41264000 to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.35? (a) 1 (b) 22 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951*(-4)\/(-3 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(25)\/(sqrt(30)\/(sqrt(6) - (sqrt(6) + sqrt(24)))))**2*3 - (2*sqrt(3630))\/(sqrt(294)*2 + sqrt(294) + sqrt(294)).\nAnswer: -11*sqrt(5)\/14 + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14526 divided by -1?\nAnswer: -14526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -176423349?\nAnswer: -176423349.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.080561 to 4 dps.\nAnswer: -0.0806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 3*w + 3*w)*(-8 + 1 - 5 + (0 + 1 + 1)*(-2 - 1 + 2)).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - -1) + 16)\/(9\/6). Solve -3*p - j = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 15560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:11 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3664 from 0.\nAnswer: -0.3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -150313183762 and 0.3.\nAnswer: -150313183761.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 35*n + 53. Let w be k(-36). Calculate the greatest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.12 + -13. What is x rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9335 + -5073. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.6467 + 141331?\nAnswer: 141318.3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3882*g + 22196 = 51422 + 63942 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:02 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119741936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/7 - 574380426*o\/7 - 27492739480995123\/7 = 0. Calculate o.\nAnswer: -95730071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + -1 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/459*9)\/(8\/(-30))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*j - 54. Let a(s) = -33*s - 537 + 79*s + 548 - 40*s - s**2. What is a(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 2740.6\nAnswer: -548.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22735\/116 - -783\/4. Let b = a - 277\/174. Calculate the common denominator of b and -47\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -183, -205, -233, -267, -307, -353?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56997127 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.4, 4, -0.11, 51, -3 in ascending order.\nAnswer: -3, -3\/4, -0.11, 0.4, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**2\/2 - 2*g + 7. Let q(d) = 2*d + 5. Let b(s) = 5*n(s) + 2*q(s). Let p(f) = -7*f**2. Calculate p(b(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/10 - 1\/1. Let d = -14 - -19. Which is the third smallest value? (a) 0.3 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/5 - 2548*h**4\/5 - 36736*h**3\/5 + 370976*h**2\/5 + 4789568*h\/5 - 10728256\/5 = 0 for h.\nAnswer: -622, -14, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 41. Let b = l + -4.0168. What is b rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26122744 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {q: 6, g: 3, y: 8, m: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -i. Let b be 64\/28 + i\/(-14). Suppose 13 = -b*j + 3*j - 2*y, 4*y = 5*j - 89. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121)*-2 + sqrt(121) - sqrt(121)) + sqrt(121) + sqrt(121))*5)\/sqrt(11) - sqrt(110)\/(sqrt(90)\/(-2*sqrt(9))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 + 227a93?\nAnswer: 227b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 17*v**2 + 9*v + 70. Let q be i(-15). Let s = -239 + q. Is s a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2795110*v + 961321?\nAnswer: 2795110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 1643?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -0*a - 28701. What are the prime factors of a?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200*y**4 + 476*y.\nAnswer: 2400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 0.04, 3, -2104032?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*p + 4, 2 = 5*p - 44*v + 41*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/49 (b) -2 (c) 3 (d) 2809\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + i**2 + 3*i - 3. Let b be n(2). Suppose b*m - 81 = 20*m. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 2*c**7\/105 + c**6\/30 - c**5\/3 + c**4\/2 - 3*c**2. Solve o(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 5*t**3\/3 - 3*t**2\/2 + 4*t - 4. List the prime factors of m(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5 times -1?\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.80058km in meters?\nAnswer: 5800.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*x + 3*x**2 + 71*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 - -712. What is the remainder when 127 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45923767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -24. Suppose r*g - 7 = 3*g. Which is smaller: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 198. Let b = j + 140. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 249, 424, 655, 936?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 244 = -21*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*o - 8*o - 30*o)*(3 + 0 + 0) in the form v + h*o and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose 8*p + p - 18 = x. Factor 21*l + 51 + 13 + 11*l + 20*l**2 - 16*l**p.\nAnswer: 4*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.729? (a) -4 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 73. Let u(h) = -h**3 + 23*h**2 - 19*h + 18. Is u(t) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i - 124 + 124 + 10*i - 8*i - 6*i + (0 - 1 + 0)*(0*i + 4*i - 2*i) - 2*i + i + 2*i to q*i + f and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k + 28*k**2 + 29\/6*k**3 + 0 + 7\/8*k**4. Differentiate w(d) wrt d.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {k: 1, y: 9, o: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 279739094 to the nearest one million.\nAnswer: 280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 489*k**4 + 2*k**3 + 396*k**2. Let d(a) = -a**4 - a**3 - a**2. Let p(l) = 2*d(l) + x(l). What is the third derivative of p(u) wrt u?\nAnswer: 11688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/6 + 112*u**4 + 27969*u**3 + 3302156*u**2\/3 + 23860545*u\/2 = 0. Calculate u.\nAnswer: -155, -23, 0, 873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)*t**(6\/11)*(t\/(t*t\/((t\/(t*t**(-1\/3)*t))\/t)))\/t**(-6)*(t**(1\/3)\/t**(-2\/3))\/(t**(3\/2)\/t*t*(t*t**2*t)\/t) assuming t is positive.\nAnswer: t**(-49\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -152. Suppose -16 = -p - f, 5*p - 51 - h = 4*f. Suppose 0 = -2*x + 5*g + 28, 4 = -x + 4*x + 2*g. Calculate the highest common factor of p and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/11860254 and 23\/918?\nAnswer: 35580762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12588325 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 18*r = 1248. Solve -18*b + r*b = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*r = -26 + 9, 3 = 3*r. Solve 0*a + a = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttytyty. What is prob of sequence yt?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*h + 12, 18 = p - 2*h - 0*h. What is the units digit of p\/55 - (1602\/(-22) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63, 98, 95, 36, -97, -322?\n\"Answer: -3*i**3 - i**2 + 59*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*i - 42*i - 5. What is the units digit of 5\/i*9*(2 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/99, -1\/4, 0.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 4:33 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 1836640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -64. Let k = 22 - w. Let i(l) = 3*l**2 + 5*l - 3. Calculate the smallest common multiple of i(k) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-20) - 6\/15. What is the second derivative of -q*k - 2 + 2 + 3*k**4 + k wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-168)\/(-60))\/(-14))\/(1\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -104*j**3 + 2*j**2 - 95*j - 2. Let b(x) = x**3 + x + 1. Let d(i) = -4*b(i) - m(i). Find the second derivative of d(g) wrt g.\nAnswer: 600*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1146 = -85*i + 79*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Let j be d*(-5)\/2 - -6. Solve -4*t = -5*t - j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 109 + 2*l + l**4 + 114 - 220 + 55*l**2 as j + q*l + k*l**2 + z*l**4 + p*l**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8819 + 741 = 8*m. Suppose 5*d + 3*i = m, -2*d + 949 = 2*d + i. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 - 71*n + 129*n - 68*n - 134*n**3 - 2*n**5 wrt n?\nAnswer: -40*n**3 - 804*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116? (a) 3 (b) 2 (c) 10 (d) 8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**17*n)\/n*n)\/(n**(1\/4)*n))\/((n*n**(-3))\/(n\/n**8)))**(-2\/51) assuming n is positive.\nAnswer: n**(-47\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -17*x**2 + 205*x - 2. What is i(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1)\/(-4)*86184\/3078?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18213.6 + 18213. Which is the closest to -1\/3? (a) s (b) 4 (c) 17\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5570506 is divided by 54.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 4 - -5)*(-31589)\/20. Let p = 9468 + r. Find the common denominator of p and -32\/19.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 364828207509.\nAnswer: 364828207512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + n - 60451 = 0, -4*n = 3*w - 0*n - 45348. Suppose -w = -35*u - 1812. What are the prime factors of u?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 1, p: 2, m: 1, t: 2}. Give prob of sequence yp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l)**(42\/11)*(l*l**(-1))**(-16\/7) assuming l is positive.\nAnswer: l**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.54764 minutes in hours?\nAnswer: 1.375794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -21*v + 44. Let u(a) = 15*a. What is u(w(o))?\nAnswer: -315*o + 660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22334680 and 60?\nAnswer: 67004040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(128) - (sqrt(128) + -1))**2 + (sqrt(18)*2)\/sqrt(9))*-5.\nAnswer: -10*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.29 * 19.42353.\nAnswer: -25.0563537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*i + 1102 = 4*c, 4*c - 2*i - 4300 = 0. List the prime factors of c.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 228?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 471 + 2*k**3 - 613 - 9*k + 1084.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 - 29 + 56)*(s + 2 - 2) + 2*s - 4*s + 4*s.\nAnswer: 98*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/(j**10*j))\/(((j\/(j**(-1\/7)\/j))\/j)\/(j\/j**1*j)) assuming j is positive.\nAnswer: j**(-305\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -k - 2, -4*k + 4*a - 6 = -k. Let b be k*(-2 - (-135)\/(-6)). Is b + 0 + 4\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 13*b**2 - 13*b + 16. Let s be p(-14). Let m = -13419 + 160933\/12. Calculate the common denominator of m and (-51)\/(-16) - (0 + s + -3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 13. What is w(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552 by 23.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = 0, 2*z + z = 3*s - 21. Let i be (28\/s)\/7*-2. Let h(d) = -d + 12. Let p be h(7). Put p, 6, i in decreasing order.\nAnswer: 6, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 2. Let f(o) = -5. Let m be -6 - -4 - (-2 - -1) - -3. Let v(p) = -23. Let h(t) = m*v(t) - 9*f(t). Calculate h(u) - i(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14765 + 7*a - 2500 + 13564 - 3*a + 0*a.\nAnswer: 4*a + 25829","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -36, 2, -8, -4 in increasing order.\nAnswer: -36, -8, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1610.654um?\nAnswer: 0.1610654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25846 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -13. Let z = l + 7. Which is the closest to z? (a) 2 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**25))**(-7) assuming v is positive.\nAnswer: v**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1455 + 2053. Let n = 1029 - u. What are the prime factors of n?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwa when three letters picked without replacement from {a: 3, w: 4, z: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 6*y + 6*y)*(31*y + 29*y - 2*y).\nAnswer: 58*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66 + 0\/2 - (-84 + 81). Suppose -l*c**2 - 7*c**4 + 99*c**5 + 256*c**2 - 46*c**3 - 56*c - 97*c**5 - 80 = 0. Calculate c.\nAnswer: -5, -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-5))\/(-8))\/((-15)\/18)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 110385*y - 172363630.\nAnswer: -5*(y - 20386)*(y - 1691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 33 = h. Let l be 25\/h*(-12)\/10. Solve -l*x + 10 = y, 2*y = 2*x - 1 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 20\/37, -2\/9, 0.2, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.88998 - 69.49993.\nAnswer: -65.60995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*d - 1. Suppose -5*j = w - 477, -3*w + d*j + 441 = -2*w. What are the prime factors of w?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1254)\/(-133) - 9\/21. Suppose 5*s - 7 = 8. Differentiate 53*k**s - 3 - 17 - y*k**3 - 14 wrt k.\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4\/4 + 2015*r**3\/2 - 189280*r**2 - 5624320*r = 0. What is r?\nAnswer: -26, 0, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*i - 2703, -2*i + 928 = 4*q - 874. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 4)*(-l + 0*l - 2*l) - 430*l - 683*l + 770*l.\nAnswer: -370*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + v - 2. Let p be u(2). Let j = p - 11. Which is the closest to 1\/2? (a) 2 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b24 - -a0?\nAnswer: 3bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*88\/(-121)*(-5049)\/612?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028561 to five decimal places.\nAnswer: -0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 8 + 171 = 28*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 3311.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*k + 4, 29*k - 3*j = 31*k + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 23580117300.\nAnswer: 23580117301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - -2 - (-4 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h + 3. Let c(o) = 17*o + 5. Calculate 3*c(f) - 7*v(f).\nAnswer: -5*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253058754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*r - 6. Put 0, 2, r in increasing order.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**6\/30 + p**3\/3 - 4*p + 1. Let i(b) be the first derivative of v(b). What is the second derivative of i(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:46 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 9?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.52 and -0.3?\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 895*l**3 - 462*l**3 + 3*l**2 - 3*l**2 - 477*l**3.\nAnswer: -44*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1\/4, 0.4, 10154, -4\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 71*n**5\/60 + n**2\/2 + 260*n. Let q(s) be the first derivative of k(s). Let h(l) = -l. Give q(h(p)).\nAnswer: 71*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 2, -9, -22?\n\"Answer: -g**2 - 6*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695057, -5560273, -18765859, -44482001, -86878885, -150126697?\nAnswer: -238395623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.54, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 + -22 - (-2 + 9 + (0 - 15))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52*58\/72384*-24*(-23 - 1\/(-1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 260 = 5*d - 256, -n + 508 = 5*d. Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43718 - 23115 = 3356*o - 73609 - 16536 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m - m**2 + 3*m + (2*m - 4*m + m)*(2*m + m - m) + m**2 + 0*m**2 - 2*m**2 + 2*m**2 - 4*m**2 + m**2 + m**2 - 2*m + 2*m + (1 - 1 - 2*m)*(m + 2*m - 4*m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*l - 15, -4*c - 3*l = -2 - 7. Suppose 108 = -c*m - 5*m - t, 30 = -m - 3*t. List the prime factors of ((-3)\/9)\/(1\/m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*t + 47*t - 1176 + 718 - 1040 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6aa (base 14) to base 8.\nAnswer: -2456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -224524, -224526, -224528, -224530, -224532?\n\"Answer: -2*i - 224522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 3*a**3 - 10*a**3 - a**2 + 0*a**2.\nAnswer: -7*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 35 = 16*i - 48*i, -j = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-25))\/((-8)\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.788*0.9\nAnswer: 1.6092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 32*d**2 - 2*d. Let r be (666\/72 + -9)\/((-2)\/8). Calculate z(r).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2605 take away 0.2?\nAnswer: -2605.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73232952?\nAnswer: 2, 3, 13, 234721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 20056?\nAnswer: -40112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -127 times 14.105\nAnswer: -1791.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 5, 108 in descending order.\nAnswer: 108, 5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1300) + sqrt(1300) + sqrt(13) + sqrt(26)\/(sqrt(4)\/sqrt(2)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, -5, 3 in descending order.\nAnswer: 130, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 140080*d**4 + 980559435*d**3 + 7862553560*d**2 - 63809246800*d = 0.\nAnswer: -13, 0, 5, 14012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1923 + -1918. Put -0.881, x, 1 in descending order.\nAnswer: x, 1, -0.881","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 10 + 1 - 4 + k**2 to the form i*k**2 + n + m*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4268 + -4265. Suppose 0 = 4*g - 13 - 3. Solve c - n*c = g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a8988a (base 12) to base 4\nAnswer: -22030012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/896 and -53\/40?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1) + 9 - 2. Solve -x*b - 7 + 2 = -4*r, 0 = 5*r - 4*b + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1 - 3*w + w**2 - 7*w + 13*w - 4*w. Let n(d) = -d**2 + 7*d**2 + 3*d - 5*d**2 - 5*d**2 + 3. Calculate 5*n(a) + 15*y(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/6 (b) 1\/3 (c) 26 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 28. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58.71*-3\nAnswer: -176.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 40*y**2 - 199*y + 49. List the prime factors of r(-38).\nAnswer: 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48405 and 1149273.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - o = -0*o - 45, -2*o + 49 = k. Find the first derivative of -k*t - t - 91 - 116 + 59 - 3 wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**5 - 4*u**5 - u**5 + (-209*u**2 - 443*u**2 + 1150*u**2)*(-7*u + 7*u - 6*u**3).\nAnswer: -2986*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152034203.\nAnswer: 3, 384011401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-27)*5*169\/(7267\/(-1032))?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 5*v - 1. Let s be k(4). Which is smaller: -14 or s?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1248*k**5 + 13*k**3 + 3*k**2 + 990*k - 1?\nAnswer: 74880*k**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/14 and ((-1)\/(-12))\/(2\/(-129)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55474 - 0.3\nAnswer: 55473.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-40) + 8\/(-20). Let p be (b - -9)\/((-114)\/(-285)). Solve 4*c + 3*q - 2*q + 5 = 0, -5*q = 2*c + p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -19. Suppose 19 = 5*d + 4. Suppose 38 = d*g - u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 500474 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0075 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6608 + -557.5608. Round r to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - 6*(sqrt(252) + 0))) + -5 + (sqrt(252) + 2 - sqrt(252)))**2 + (sqrt(567) - (3 + sqrt(567)*-2)) + (-1*sqrt(567)*2)**2.\nAnswer: -189*sqrt(7) + 11346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q + 2*q)*(3*q + 0*q - 2*q + (-6 - 4 + 4)*(-5*q + 2*q + 4*q)) in the form k*q**2 + v*q + c and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -5\/6*v**3 + 0*v + 0 + 1\/60*v**5 + 1\/12*v**4 - v**2. What are the prime factors of i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23e (base 16) to base 2\nAnswer: -1000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d + 2*d**3)*(367*d - 174*d - 189*d + 353) to i*d**2 + k*d + p*d**3 + q*d**4 + g and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r**3 - 3*r + 3 + 0*r**2 - 1\/2*r**4. What is the derivative of j(h) wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -16) + -2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q)**(-3\/13))**(-4\/3)\/((((q**2*q)\/q)\/q*q**3)\/((q\/(q*q**6)*q)\/(q**6*q))) assuming q is positive.\nAnswer: q**(-196\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 3*z = -69, -4*d - 4*z = -48. Suppose -d*x = -7*x + 136. Are -17 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*k + 518*k = -360*k - 69615 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 7 + 3 - 7*f**2 + 6 wrt f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**3\/5 - 33428*c**2\/5 - 1311064*c\/5 + 10814048\/5 = 0?\nAnswer: -46, 7, 8396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*f**2 + 443*f**4 - 437*f**4 - 245 - 3*f**2 with respect to f.\nAnswer: 24*f**3 - 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - -8. Suppose -p - 3*j = 19 + 3, -4*p - g = 5*j. Let u = -6 - p. What is the fourth smallest value in 5\/3, u, -3\/8, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - x - 103, x = 5*y - 102 - 67. Let n = -31 + y. Let r(t) = 33*t**2 - 3*t**2 - 20*t**n. Let p(u) = -u**2. Calculate p(r(q)).\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) 3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.8817nm in millimeters?\nAnswer: 0.0003448817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 4*s - 4, -2*s - 11 = -5*n. Suppose -2*h = -n*h - 5. Let m(d) be the third derivative of d**5\/60 + 5*d**4\/24 - 60*d**2. Give m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 561 and 919241?\nAnswer: 30334953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-35))**(8\/5) assuming x is positive.\nAnswer: x**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8551 > -8535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-30) + (-12)\/51 + 18\/(-45)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -740 - -745. Solve 17*u - 16 = 15*u + k*m, -18 = 5*u + 2*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453414 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/2 + 10*d**3 + 126*d**2 - 373. Determine g so that m(g) = 0.\nAnswer: -6, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, -3\/8, 0.4, 1\/79 in decreasing order.\nAnswer: 0.4, 1\/79, -3\/8, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192699258 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -p + 14, 8*z + 2*p + 20 = 10*z. Factor 0*s + z*s**2 - 2*s + 2*s**4 + 60*s**3 - 66*s**3 + 0*s**2.\nAnswer: 2*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 186*q**2 - 98*q + 357. What is x(46)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 461 + -606. Let f = 204 - 204. Which is bigger: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 + 534 + 26*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 11 - 11)*(5*d**3 - 2*d**3 - 2*d**3) - 3*d**2 + 8*d**4 + 33*d**2 - 6*d**4.\nAnswer: -2*d**4 + 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1665694 and 7936542?\nAnswer: 134921214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 3*l + 2. Let q(b) = 10*b**2 + 8*b - 39. Give q(c) - 6*y(c).\nAnswer: 4*c**2 - 10*c - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 2 (c) -8.1 (d) -2 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -537 and 6?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10097966 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*p - 102*p + 12, -4*p = 9*r - 14*r + 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * -337.\nAnswer: -77.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 23*i**5 + 527*i**3 + 191398*i**2.\nAnswer: -240*i**3 + 1380*i**2 + 3162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 28*b**2 + 21*b + 30. What are the prime factors of v(-10)?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 19. Calculate c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 - -0.95. Let t = 0.29 - v. Which is the third smallest value? (a) 2\/5 (b) -2\/17 (c) 3\/5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(88) + (sqrt(88) - (1*sqrt(88) - sqrt(88) - sqrt(88)))))\/(-1*sqrt(512))*-3 + (4*(-2 + sqrt(44)) - (2 + (-1*sqrt(77) - sqrt(77))\/sqrt(7)))**2.\nAnswer: -391*sqrt(11)\/2 + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 divided by -1?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6573 and 19\/45.\nAnswer: 98595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -487. Calculate the greatest common divisor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - -21)*(-2)\/(-10). Is 5\/((3\/291)\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 7. Let i = -30.9 - b. Let y = 2.1088 - i. What is y rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.3 + 36. Let y = q - -4.4. Let t = -12 + 8. Which is the second smallest value? (a) -2 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 8*p**2 + 0*p**2 - 5*p + 0*p**2 - p**3 + 7. Is u(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2*(6 - 9). What are the prime factors of (42\/(-10))\/(j\/15)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 81 + 96, -5 = -3*y + 4*d. Let v(b) = b - 1. Let i(l) = l + 3. What is y*i(a) - 15*v(a)?\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Suppose 0 = l*z - z - 75. Let y = z - 13. Calculate the greatest common divisor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/2280 and 73\/15708.\nAnswer: 2984520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = -6. Let u = 143 + -55. Suppose -u = -x*i - i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 - 15\/((-75)\/580) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -15. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x + x - 4*x)*(7 + 5*x**2 - 7) + 4*x**2 + 3*x**3 - 4*x**2 + 950*x - 823*x - 4*x**3 + 6*x**3 in the form k*x**2 + m*x + w + r*x**3 and give m.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, -0.3, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3715331 = -3*v - 3715646, -4*f - 289 = -5*v for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 5 - -16 - (5 + -13).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z. Let o be s(3). Let f = -19 - o. Let q = f - 5. Solve -q*n - 10 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v + 35*v = 2322. Let b = 1005\/4 + v. What is the common denominator of b and 2\/8*(-124)\/(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9602*y**3 + 2*y**2 + y + 38?\nAnswer: 57612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-714)\/(-16) + 3\/8. Suppose 5*i - 20 = -y, d = -y - 3*y + 5*i. Let j = -5 - -5.4. Which is the closest to -0.1? (a) 4 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25122 - -450?\nAnswer: 30012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -79. Let b(i) = -20*i - 103. Let p be b(-24). Suppose 0 = 12*z - p + 29. Calculate the greatest common factor of z and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from famamffafmffaaaaammf?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.0289.\nAnswer: 0.1734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 - 4*k - 6. Let d be (-3 + 2 - -1) + 0. Suppose 2*i + 2*b + 20 = 0, -b + 6 = -d*i - i. Let o = -12 - i. Give l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-1)\/8*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c + 11. Let x be k(-2). Let o(j) = 9*j**3 + 4*j - 3. Let h(v) = 6*v**3 + 3*v - 2. What is x*h(p) + 5*o(p)?\nAnswer: 3*p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 11. Let f(q) = -3*q - 5 - 1 + 0. Let l = -28 - -39. Give l*f(s) + 6*x(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - n**2 + 4*n**2 + n - n.\nAnswer: 3*n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eewc when four letters picked without replacement from {w: 1, c: 5, t: 5, e: 6}?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0497, 0.06, -1272?\nAnswer: -0.0497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5 = -4*q, -184 = q + c - 189 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 18. Let z = 13 - j. Suppose -18 = l - z*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.42432, -0.4, 0.2 in descending order.\nAnswer: 0.2, -1\/5, -0.4, -0.42432","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24942208, -99768805, -224479796, -399075181, -623554960, -897919133, -1222167700?\nAnswer: -1596300661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Find the third derivative of h**4 + h**2 - h**4 + h**b - 4*h**4 wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7505, 15025, 22545, 30065, 37585, 45105?\n\"Answer: 7520*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 23*r - 5*r**2 + 3*r**3 + 22*r + 2*r**4 as w + b*r + d*r**2 + p*r**3 + z*r**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z - 288*z = -96*z - 1854 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.1 + -0.16.\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + 1*sqrt(70) - sqrt(70) - sqrt(70))*-4)\/(sqrt(10) + 2*sqrt(1440)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 16. Let q be x(-11). Let j be 16\/q*3\/(-4). What is the second derivative of -432*w**2 + 2*w + 0*w + 432*w**2 + j*w**3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 + 1548*t**2 - 1527*t - 9270 = 0 for t.\nAnswer: -2, 3, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109 or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(1\/3)*k))**(-34))**(-18) assuming k is positive.\nAnswer: k**(-408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -698 + 700. Put c, 44, -5 in decreasing order.\nAnswer: 44, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 2*w)*(7*w - 7*w + 8*w) - 1 + 2*w**2 + 1.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y + 2. Let v be c(0). Suppose -13 = -3*x + 5*t, -v*x - t + 0*t = 0. Let j be (-2)\/(-5) + x\/(-15). Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814225 is divided by 907102.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -61 + 1 - (-29 - (7 + 1) - -34)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 13*q**2 - 45*q - 232. Determine u(-10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (14 - (-143)\/(-22))*(-100)\/75.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 0*t**2 + 0*t**2 + (3*t + 2*t**2 - 3*t)*(2*t + 3*t - 3*t) + 20*t**3 - 39*t**3 + 23*t + 2*t**2 + 17*t**3.\nAnswer: t**3 + 2*t**2 + 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 4. Suppose -j + 4 = 11. Let w = j - -4. What are the prime factors of o(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -0.22, 0.087, 44 in descending order.\nAnswer: 44, 2, 0.087, -0.22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -c6?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1828396.7 times 0.3\nAnswer: -548519.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + j + 19 - 18 + j**4 - 2*j**3 to the form k + o*j**3 + b*j**4 + d*j**2 + q*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.8 - 14.9. Let f = 82.1 + m. What is f rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18) + (-290)\/60\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519 - 579 = 121*t + 62*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -67. What is the remainder when 170 is divided by ((-38)\/6)\/((-11)\/q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 19, 43, 85, 151, 247, 379?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 3, d: 2, m: 1, i: 1}. Give prob of picking 1 l, 2 d, and 1 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(192)*-2)**2 - -1*sqrt(192)*-3)*-1 + 3 + 5)*6 + -3.\nAnswer: -165843 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j - 7*j + 12*j)*(4*j**4 + j**4 - 2*j**4).\nAnswer: 45*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*17 + 5508\/1377.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/16)*((d*d*d*d*d**(-1)*d*d)\/d)\/d)\/(d*d**(1\/9))**(-4\/3) assuming d is positive.\nAnswer: d**(2395\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 174\/(-45) - (2 + 112\/(-60)). Let p(s) = -2*s**2 + 3*s + 5. Determine p(u).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 + -0.05. Let b = -0.1 + 0. Let r = b - d. What is the nearest to -2\/7 in 3, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 152\/312 - 2\/6. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/2 + 53*b**2\/2 - 27*b = 0. Calculate b.\nAnswer: -54, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) -0.4 (c) 41.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-6) + (-3)\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -815, -1694, -2571, -3446, -4319, -5190?\n\"Answer: n**2 - 882*n + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -472035 and -472032 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157657, 4, -16 in descending order.\nAnswer: 4, -16, -157657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 48*g - 51*g - 4 + 4 - 8*g**2. Let x = 66 + -62. Let o(y) = 0*y + y**2 + 5*y - x*y. Calculate 3*o(r) + p(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 16) in base 9?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 x when four letters picked without replacement from {x: 3, z: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6895160 a multiple of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 27*n**2. Let l = -31 - -32. Let a = l - -1. Let p(g) = -7*g + a*g + 4*g. Give p(v(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, y: 1, d: 3, j: 2, r: 3, h: 2}. Give prob of picking 2 r and 2 h.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.97075 millilitres in litres?\nAnswer: 0.04597075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -46641?\nAnswer: -46641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1119 + -1018. Calculate the remainder when w is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttbs. What is prob of picking 1 b and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7400 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 29. Let x(b) = 14*b**2 - 6*b + 5. Suppose 0 = -26*w + 2 + 24. Let v be x(w). Give l(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 + 2*n + 1. Let c be ((-2)\/4 + 1)*(-2 - -2). Let d be v(c). Which is smaller: d or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043724833 to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -10. Suppose 10 = -f*j - 4*m + 46, -3*j + 2*m + 4 = 0. Suppose -135 = -72*q + 225. Solve -3*d - 2*d = -5*g + q, -d - 11 = j*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/29766 and 25\/44649?\nAnswer: 89298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000218285 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87.792 - -0.208. Let l = 87.9715 - b. Round l to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 5*z - 6. Suppose -2*f + 5 = -3. Suppose c = 2*u, 0 = f*c - 7 - 9. Let l(t) = -14*t**u - 7 - 16*t + 2*t - 10. Determine -11*j(m) + 4*l(m).\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - -127. Suppose u*s = 44*s. Solve 0 = -4*k - s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-689)\/(-212))\/(2\/72*3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 + 184.98837. What is r rounded to 4 dps?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: What is 430 minutes before 5:09 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*y + 95, -4*a - 3*y = a - 228. Suppose -a + 5 = -4*x. Suppose 84 = 3*j + w, -j - x = -3*w - 38. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -767*t + 30 - 764*t + 1536*t in the form k + m*t and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/(-258)*(-171)\/57).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -233 and -4704310 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122 - 71 - 1106*f**2 + 387 - 333*f**2 wrt f.\nAnswer: -2878*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -333*x + 3281 - 3281 + (0*x - 3*x + 9*x)*(-5 + 1 + 5) in the form t*x + h and give t.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12915 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408823.42 rounded to the nearest one thousand?\nAnswer: 1409000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36611866, -73223734, -109835600, -146447464, -183059326, -219671186?\nAnswer: -256283044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2. Let j = 15 - 7. Let r(o) = -j*o**2 + 3*o - 3*o - 4*o**2. Determine w(r(m)).\nAnswer: -288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4142 + (4\/4*-3 - -5). Let r = b + 730. Is (-1)\/(-2) - r\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 + 759\/7. Let v be (6\/63)\/((-6)\/(-9)). Put 0.2, s, v in ascending order.\nAnswer: s, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5677*i - 5673*i - 401 + 17015*i - 5669*i to the form g + f*i and give g.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 27955099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*y - 38*y - 27*y)*(-183*y - 78*y - 108*y) to z + f*y + s*y**2 and give s.\nAnswer: 8856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12208\/11 + 1110. What is the biggest value in f, -0.1, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11528 + 16068. What are the prime factors of j?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 19*s**2 - 47*s - 45. What is the least common multiple of 1 + 45\/(-27) + 52\/6 and p(-21)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 1 = -d - 2, 4*m = 5*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 6*q**2 + 10*q - 10. Let x be g(7). What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**3*w**3 - 32311*a**3 - 8*a*w**2 + 269*a*w + 335*w**3 wrt a?\nAnswer: -42*a*w**3 - 193866*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 23 = 4*y + y, -2*y + 5*n = -5. Suppose -m - y = -31. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u*u*((u\/u**(-2\/7)*u)\/u)\/u*u)\/(u**3\/u**(-6)) assuming u is positive.\nAnswer: u**(-167\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2579*h**2 + 6*h + 1. Let x(z) = 858*z**2 + 2*z + 1. Determine -3*f(a) + 8*x(a).\nAnswer: -873*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8372168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3441\/11 + -344331\/1100. Find the common denominator of i and 36\/325.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 10*q - 17. Let p be n(8). Which is the nearest to 0? (a) 77 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1449)\/414)\/(322\/8)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 2*s + 0*s - 512 = 0. Solve s*n - 81 = 91*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -1\/20*f**4 + 13\/10*f**3 - 18\/5*f**2 + 0 + 101*f. Find m such that y(m) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2. Let k(g) = -9*g. Let q be 135\/25 + -2 + 8\/5. Let s(n) = 5*n. Let u(i) = q*s(i) + 3*k(i). Give u(x(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5233681087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, n: 2, z: 2}. Give prob of picking 1 z and 1 w.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 473789 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(40\/(-140)*(-56)\/60).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14128.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 16. Let o = 1 + 3. Let n = y + o. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25672237271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2334*k**3 + k - 6*k + 257*k**3 - 433*k**3 - 3 + 4*k.\nAnswer: 2158*k**3 - k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfkkpjafpja. Give prob of sequence kj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + (78 - (-38 + 16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6288132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 978*c - 557 + 86 + 83 - 326 wrt c.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g - 2. Let m be r(1). Let x(c) = -340*c - m + 334*c - 3*c**2 + 2*c**2 + 1. Let a be x(-4). Solve -26 = a*v - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31823526 and 47859.\nAnswer: 1686646878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*r**3 - 62*r**2 + 62*r**2)*(0 + 0 - r + (-2*r - 2*r - 4*r)*(-2 + 2 + 1) + 2*r - 2*r - 3*r).\nAnswer: -324*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/13*l**2 + 0*l + 0 + 8\/13*l**4 + 2\/13*l**5 + 10\/13*l**3.\nAnswer: 2*l**2*(l + 1)**2*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*q**3 + 7 + 85*q**3 + 13123*q - 13076*q.\nAnswer: 6*q**3 + 47*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2, 0 = -4*q + 3*s - 1 + 6. Let p be (12\/(-8))\/(6\/(-16)). Let w(j) = p*j - j - 4*j. What is w(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -5 (c) -924 (d) -0.08 (e) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18006357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 2, z: 3, e: 3, a: 1, g: 3}. Give prob of picking 1 j and 1 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -13. Suppose 2*v - 3*g - 87 = -0*g, -3*v + 5*g + 128 = t. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20*l - 1. Suppose 0 = -z - z. Suppose z = -4*u + t - 5, 11 = 4*u - 5*t + 4. Let g be v(u). Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*j - 61690 = 542*j - 6934. Which is smaller: j or -1013?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 0.3. Let f = 967 + -967. Sort f, d, -2, -1\/6 in descending order.\nAnswer: f, -1\/6, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*j + 3, j - 9 + 32 = 5*i. Let m be -1 + j - (-3 + -7). What is the greatest common factor of m and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-14 + 11 - (-4 + 0)) - -22?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744 and 4712.\nAnswer: 14136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2161\/12 + -2475\/4. Let o = r - -419. Calculate the common denominator of o and 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + b - 2. Let t be f(-2). Suppose 21 = -t*r - p, 2*r + 2 = -3*p - 11. Is 13 a factor of (184\/(-20))\/(2\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*g = -128, -2*u - 4*g = -2*g - 72. Calculate the remainder when 141 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 907 = -5*k, k - 56 = -5*f + 159. What is the least common multiple of 85 and k?\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:36 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - 2*sqrt(1331)) + sqrt(528)\/sqrt(3) - (sqrt(44) + sqrt(44)*2 + -5))**2.\nAnswer: -130*sqrt(11) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211630 (base 7) in base 2?\nAnswer: 1000111101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2866171*w**3 - 33091049 with respect to w.\nAnswer: 8598513*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*d = 449, -7*v + 428 = -2*v + 4*d. Let f = -89 + v. Let p be (5 - 3)*(-4)\/f. Solve 0 = 3*u - p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 38 - 100. Suppose 4*g = o + 33. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*m - 4 - 11, m - 9 = -3*z. Let r = -0.121 + -0.179. Which is the second smallest value? (a) r (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*l**2*w**3 - l**2*w - l + 129*w**3 + 4*w**2 wrt l?\nAnswer: -150*l*w**3 - 2*l*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, 2\/23, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q + 5*i - 0*i, -4*q = -4*i + 4. Let n be (72\/(-162))\/(q\/3). Factor 0 - 2\/3*k**5 + 0*k**2 - 2\/3*k**3 - n*k**4 + 0*k.\nAnswer: -2*k**3*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1260*n**5 - 963*n**2 wrt n.\nAnswer: 75600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 22. Put 1\/14, z, -0.1, -2\/5 in increasing order.\nAnswer: z, -2\/5, -0.1, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259 - -262. Suppose 91 - 7 = y*k. Let m = -37 - -53. What is the smallest common multiple of k and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 6 - (0 - 3). Suppose 0 = -y*k + 6*k. Suppose -z - 6 + 8 = k. Put z, 4, -4 in ascending order.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:53 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 bigger than 251\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 83.0000608. What is q rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4854783 (base 12) to base 9.\nAnswer: 28377800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/168 and -77\/46056.\nAnswer: 322392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 29*o**2 - 2*o - 21. Determine a(29).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423334012 - -134?\nAnswer: -423333323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.912973l?\nAnswer: 7912.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97884, 20, 16, 3 in increasing order.\nAnswer: -97884, 3, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 19. Suppose -9*a - 44 + 89 = -0*a. Determine t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55931161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-14 - (0 - 2)) + 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k - 82*k**2 - 2*k**3 + 82*k**2 + 38*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -898, -1790, -2682, -3574?\n\"Answer: -892*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.6 + -6.6. Let f = h - 27.7. Which is smaller: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Suppose 0 = g*b + 10, -3*a = -8*a - b + 35. Solve 2*f**2 - 8*f + a + 0*f**2 + 0 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*i + 29 = 0, -4*k = 5*i - 36 - 101. Let c = k - 20. Suppose -4*r - 4 = 0, 2*v - 5*r = c + 3. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -315595238.64 from -2.473.\nAnswer: 315595236.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 923, 2072, 3681, 5750?\nAnswer: 8279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n**2 - 33380 + 16491 + 16544 as w*n + r*n**2 + t and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 - 0.07. Let q(i) = i**2 + 11*i - 2. Let k be q(-12). Let g be (-4)\/(-10)*k\/8. What is the nearest to g in 4, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3870\/91 (b) 0.2 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 40*w**2 - 10*w**2 + (-w + 0*w + 2*w)*(-3*w + 4*w + w) in the form t*w + v*w**2 + d and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h - 3. Let r(b) = b - 1. Let a(k) = i(k) - 6*r(k). Let o(d) = -d. Let t(j) = -a(j) - 2*o(j). Suppose 0 = -4*l + 4*l + l. Give t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m)\/m)**(-3)*(((m**(-15\/4)\/m)\/m*m)\/m)\/(((m*(m*m\/(m\/(m**(-3\/14)\/m)))\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 284*a**2 - 2*a + 2. Let p be c(1). Let x = 76 + p. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.996 + 3147.\nAnswer: 3154.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + 2 - -369. Suppose 26*j = -479 - 2355. Let o = w + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h + 230*h + 2776 = -57*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/5, 0.15, 9, -11, 5, -2\/13, -115?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*x)*(-1 + 0 + 0)*(0 - 2 - 1) - 5269*x - 3077*x - 1290*x - 418*x in the form h + k*x and give k.\nAnswer: -10060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 122*k - 16594. Give y(136).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055206581 to the power of 1\/3, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3327.\nAnswer: 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 9. Let c be i(7). Let y = 14 + -1. Let f = y + c. Let p(q) = q**3 - 3*q**2 - 2*q. What is p(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/60 and 87\/308.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 21. What is the units digit of o(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 42*o - 43*o - 5*o + 32.\nAnswer: -2*o + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.16 + 8. Let b = n - -0.16000014. What is b rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7027940409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*g + 97*g = 6125 + 6593 - 1888 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 5*k + 14. Suppose 2*p - 35 = 5*n, 2*n - p = -3*n - k. List the prime factors of 12 - (-9)\/(n\/(-3)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4809)\/(-4) - (-3)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 20?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 0*w**4 + 0*w**4 + (-4*w + 4*w + 2*w)*(-w**4 - 2*w**2 + 2*w**2) + w + w**5 - w - 20*w**5 - 23*w - 29*w**5 + 25*w.\nAnswer: -51*w**5 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 9 = -6*m, -4*m = 2*l + 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73780 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l. Suppose l = -5*x + 4*j - 16, -x = 4*j - 2 - 14. Let q(n) = 8 - 4*n**2 - 3*n**2 + 6*n**2 + n. Calculate q(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/12 - 4*s**2. Let h(f) be the third derivative of 5*f**4\/24 - f**2. What is m(h(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -798, 1, -5.\nAnswer: -798, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 7*b**2 - 5*b - 2. Suppose 37 = -d + 11. Let r = d + 19. Let o be x(r). What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7, -28, -925.7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p + 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 49, 78, 111, 148, 189?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - o = -18, 55*p - 54*p - o = 0. Let i = -2726\/5 + 4817\/10. Let w = i + 67. Which is greater: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25100023 (base 6) in base 15?\nAnswer: 10c4b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -5 (c) -2\/801\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337 is divided by 332.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -7\/4911245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 21. Let o(h) = 9*h + 116. Let j(q) = -o(q) - 6*r(q). What is j(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2 - 2*t - 4. Let m be p(-3). Let a = m + 67. Solve -3*h = -3*y - 21 + 3, -a = -2*h + 5*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80707183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3163 + 19400. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1862087557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/5)\/i*i**(-1\/6)*(i**(-1))**(-3) assuming i is positive.\nAnswer: i**(79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 2:21 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249965 or 2?\nAnswer: 249965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w. Let q(d) = 2*d + 2. Let h be 152\/57 + ((-6)\/9)\/(-2). Let x(k) = k - 1. Let z(t) = h*q(t) + 6*x(t). Give z(b(n)).\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 1 + 1)*(-1 - 2 - 2)*(-5 + 2 - 2)*(h - 2 + 2) - 5*h**2 + 59 - 59 + 0 + 0 - 2*h**2 + (-h + 0*h - h)*(0 + 2*h + 0).\nAnswer: -61*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o - 41. Let r be s(11). Let p = -36 - -42. Let f be (p + -1 - r)\/(1\/1). Solve y = -f*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -445*x**2 - 128145*x + 4320.\nAnswer: -5*(x + 288)*(89*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 800769*i**3*r**2 + 59*i**3*r + 1248*i**3 - 622*i**2 - 22*i wrt r?\nAnswer: 1601538*i**3*r + 59*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 16 = -12*i + 2*k, -k + 7 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and 22\/88991.\nAnswer: 355964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 - 3 = 4*p, b + 3*p + 1 = 0. Let g(x) = -x**2 + 8*x + 5. What is the units digit of g(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 312 - 312 - 3*o**2. Let h(w) = w. Calculate h(s(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 9*l**2 - 20*l - 10. Let m be j(11). Solve 0 = -4*n + n - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 5. Let s be (-5)\/(-4)*2*2. Suppose -4*o + 15 = -2*m + m, -2*o + s = -3*m. Let x be w(o). Is x less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1446 and 43\/24996.\nAnswer: 6024036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22781 and 11990.\nAnswer: 227810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10168153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 10 = 4*a - 3*s, -3*a - 21 = -4*s. List the prime factors of 211*(-2 - a) + -1 + 3.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89521 - 57992. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84079 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91043*y + 15361 with respect to y.\nAnswer: -91043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*g - 1948100, -4*w + 1948109 = -4*g + 9*g. Suppose 7*b + 162119 = -g. Round b to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43160 = -3398*m - 202562 - 27488 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626585\/(-55)*-9 - (-12)\/(-66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 412, 1621, 3634, 6457, 10096, 14557, 19846, 25969?\n\"Answer: p**3 + 396*p**2 + 14*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1371 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -4\/45 (b) -5 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from gggllgagglglg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006155234 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218.2 + 213.2. Let w = -0.06 - 0.34. What is the closest to w in 0.2, -2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362, 2885, 9738, 23087, 45098, 77937, 123770, 184763?\nAnswer: 263082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7)*(-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(2\/57)\/(((o\/(o**(3\/4)\/o))\/o)\/(o\/(o\/(o\/o**(-3))*o))) assuming o is positive.\nAnswer: o**(619\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {o: 2, d: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510618886?\nAnswer: 2, 255309443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9678320 divided by 80.\nAnswer: -120979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 + 2*h**2 - 3*h. Let p(r) = -9*r**3 + 5*r**2 - 7*r - 1. Determine -3*p(w) + 7*t(w).\nAnswer: -w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722125 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 + 14*a + 67. Let c be i(-6). Suppose 0 = -47*v + c*v - 6152. Is v a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.663 and 4?\nAnswer: -22.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*l - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/4)*((t\/(((t\/(t*t**(-1\/3)))\/t)\/t*t)*t)\/t)\/t)**3)**(-1\/14) assuming t is positive.\nAnswer: t**(1\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 21 - 15 + 2*y + 4 + 6. Suppose 1 = -3*c + 3*d - 26, -5*d + 10 = 0. Let l be u(c). Solve 0*v = l*v + 5*o - 16, 4*v - o = -12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0 + 0)*(3 + 6 - 1).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4*f**3 - 1754*c**4 + 2*c*f**2 + 132*c*f + 3*f**3 wrt c?\nAnswer: 12*c**2*f**3 - 21048*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32025226343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(2\/60). Let x be 2\/5 - 156\/g. What is the units digit of 2\/(-5) + (-24)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/8 and 41\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 339\/25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123829.\nAnswer: 123829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*r - 11232 = 32*r. Calculate the remainder when 1345 is divided by r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -227, -231, -237, -245, -255?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + 3 + -1 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/20)\/(10\/(-25)). Suppose -3*a + 1 = k*h - 8, 4*a - h = -8. What is the units digit of (a + -1)\/(-4)*96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2955695980699 and 5.\nAnswer: -2955695980694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -5, -7, -7, -5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -22. Let n = p + 36. Let i = n + -41. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**2 + 59*h**2 + 141*h**2)*(-10 + 25*h**3 - 13*h**3 - 14*h**3) + (0*h**2 + h**2 + h**2)*(-4*h**3 + h**3 + 2*h**3).\nAnswer: -386*h**5 - 1920*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**3 - 33*c**2 - c + 4. Determine y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k - 4*k - 7*k - 2*k - 8.\nAnswer: k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -247*v + 252*v, -4*v - 30 = 5*t. Sort t, 13, 64.\nAnswer: t, 13, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8\/5, -0.5, -4 in decreasing order.\nAnswer: 5, 8\/5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 844*j - 68*j**2 - 421*j - j**3 - 423*j to p*j**3 + r*j + y*j**2 + q and give y.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z**3 + 0*z**2 + 0*z**2)*(2 + 0 - 3) + 2*z**3 + 2*z - 2*z)*((4*z + 0 + 0)*(-8 + 8 + 5*z) - z + z - 3*z**2 + 13*z**2 + 19*z**2 - 10*z**2).\nAnswer: 117*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(255)\/sqrt(5))\/(3*sqrt(75)).\nAnswer: -5 - 4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 3*h**4 + 3*h**4 + h**2 + (-3 + 2 + 3)*(-1 - h**5 + 1) + (-h**5 - 4*h**5 + h**5)*(-1 - 2 + 5).\nAnswer: -9*h**5 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*g + 48, 5*s - 4*g - 52 = s. Solve s*z - 14 = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -84*o - 118. Determine c(1).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + 3 + 0 - 3*i**2 as f*i**2 + o*i + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 6:11 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78596276883 - 0.5?\nAnswer: 78596276882.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 5*o**3 + 6*o**3 + 6*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = p - 4*m, 4*p = -3*m - 12 - 11. Sort -5, 5, p, 4 in increasing order.\nAnswer: -5, p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.28 + 2.3. Let j = 0.58 - t. Let b = 31 + j. Put b, 2, -3 in decreasing order.\nAnswer: b, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/(-105) + 561\/(-270) and 38\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 7*b**2 + 284*b + 12853. Give j(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132045 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1327010814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -n - 8, -39*n - 10*i + 36 = -43*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1021, -2042, -3063, -4084?\n\"Answer: -1021*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Let h be 400\/8 - (1 - 1). Suppose -6*k + h = -16*k. Sort -1\/4, m, k in descending order.\nAnswer: m, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -26*g. Let r be q(4). Let v be (1 + -7)*r\/12. Suppose -3*x + 3*a + 87 = 0, 3*x - v - 37 = 2*a. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 220. Let k be g(36). Is 10 a factor of (-3762)\/(-36) + (-2)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2095.47 - -5.\nAnswer: 2100.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/10)\/(4\/(-10)). Suppose -29 - 9 = -a*f + 3*j, 0 = -5*j - 20. Let h be (-2)\/(-10) + f\/35. What is the third smallest value in -5, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 87. Let g(v) = -v**3 - v**2 + v - 1. Let l(w) = -7*w**3 - 4*w**2 + 6*w - 4. Suppose -21 = -5*j + 9. Determine j*g(m) + o*l(m).\nAnswer: m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/60 - 11*s**4\/12 + 65*s**3\/6 + 1787*s**2. Give g(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -18086*r**4 - 26*r**2 + 13049. Let v(f) = 4520*f**4 + 6*f**2 - 3262. Let l(m) = 6*a(m) + 26*v(m). Differentiate l(c) with respect to c.\nAnswer: 36016*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.901 + -8.601. Put -0.01, 1\/4, o, -1\/3 in decreasing order.\nAnswer: o, 1\/4, -0.01, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 35*u - 39*u. Suppose -15*m = -13*m - u. Solve -d = 4*d + m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*i**3 + 310*i**2 - 160*i.\nAnswer: -5*i*(i - 2)*(23*i - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 - 217. What is the remainder when 159 is divided by 1*17 - ((11 - o) + -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 + -107. Suppose g*x - 19 = 151. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 1156.\nAnswer: -11\/1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189924 is divided by 23348.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2947.245 millilitres to litres.\nAnswer: 2.947245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 184904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 3*y - 12. Let d be m(6). Find the third derivative of -9*f**2 + 1 + 1 - 10*f**d - 2 wrt f.\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(0 + 0 + 2*z)*(-3*z**2 + 8*z**2 + 0*z**2) to the form k*z**2 + v*z**3 + b*z + p and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6654776*q - 6654823*q + 13309642*q.\nAnswer: 43*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -11) + 1 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(d**2 - 1 + 1) + (2*d - 21*d - 21*d)*(6*d - d - 2*d) - 5*d**2 - 3*d**2 - 3*d**2 to c + r*d**2 + w*d and give r.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18003 and -4.\nAnswer: -72012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/330 and 20\/389.\nAnswer: 128370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/60 + 4*m**5\/15 + 4*m**4\/3 - 12*m**2. Suppose d(s) = 0. Calculate s.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204252007 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/24*z**4 - 1\/60*z**5 + 0 + 0*z + z**2 - 7\/6*z**3 + 1\/120*z**6. Determine f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/12 + 7*a**3\/6 + 5*a**2 - 69*a - 79. Let h(q) be the first derivative of p(q). What is h(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 + 2*o**3 + 0*o**3 + (3 + 2*o**2 - 3)*(-4*o + o + 0*o) - o**2 + 2*o**3 + 3*o**3 - 3*o**3 - 2 in the form m*o**3 + l + i*o**2 + r*o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*k - 590 = -4*k, -5*k - 730 = -5*n. What is the greatest common factor of n and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 29 + 9. What is the first derivative of z - 3 - 1 - 3*z - y*z wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 413\/5654?\nAnswer: 413\/5654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 865*h - 2640.\nAnswer: 5*(h - 3)*(h + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 - 106. Suppose -c*o = -27*o - 132. Solve 5*b - 24 = o*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78.4 - -78. Let p = -2 + 1. Let y = p - u. Which is the second biggest value? (a) -5 (b) y (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4745881 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*s - 8, -s - 4*s - i = -9. Suppose -s*u = 3*z - 2*z - 124, 3*u = 5*z - 581. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x + 4*x + (2*x - 2 + 2)*(1 - 3 + 4) - 2*x + 0*x + 4*x + (4 - 2*x - 4)*(-3 + 0 + 2) + 76*x - 182*x - 141*x in the form o*x + h and give o.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/220)\/((-17)\/(255\/84))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(88) - ((sqrt(88)*3 - sqrt(88)) + sqrt(88) + sqrt(88))) + sqrt(88)))\/((4*sqrt(48))\/sqrt(6)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 931037 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 d when four letters picked without replacement from yydidiyyydyyd?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1735 - 2063 = -4*c. Which is bigger: 85 or c?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3694*q - 1194*q = 4509*q + 631951 + 35236 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 277\/3?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 138\/30 + (-2)\/(-5). Solve -w*k + 6 + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4695538931?\nAnswer: 197, 23835223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (-77 - -70)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0 + 2\/(-5))*-10. Solve -o*a - 4 = -4*g, -5*a + 4 = g + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2442 - 2440. Let n be (44\/3)\/((-1)\/(-3)). Suppose 5*p = 3*p + n. What is the highest common divisor of q and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l + 76 = 4*r, l + 3 = 0. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*k - p - 1479 = 875*k, -3*k + 99 = 3*p for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13566\/(-1235) + (-222)\/14430?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -10. Let i(p) = -p**2 - 9*p + 2. Let g be i(o). What is the highest common factor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-1\/3)\/((s**(-4\/9)\/s*s)\/s*s*s\/s**(1\/5))*((s*s*s**0*s*s)**(-3\/23))**10 assuming s is positive.\nAnswer: s**(-6113\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 12) to base 14.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*-25*21\/(-840)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -12 (b) 0.7 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221112200220 (base 3) to base 15.\nAnswer: -9de96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.32 (b) -0.5 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*y - 36*y**2 + 74*y**2 - 30*y**2 + 131*y.\nAnswer: 8*y**2 + 43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 23 - 31. Let v be 18\/(-27) - x\/(-3). Suppose b = -t - 19 + 59, 228 = 5*t - v*b. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 27, 5, -5\/9, -0.2, 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) 2\/11 (c) 1 (d) 22255 (e) 42 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-2269.\nAnswer: 1134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttft when four letters picked without replacement from fkknntkttk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**2*y**3 + 6*c**2*y + 4*c*y**4 + 5*c - y**2 wrt y?\nAnswer: 30*c**2 + 96*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - 41e97?\nAnswer: -41eaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(60)\/sqrt(5).\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from eaeezui.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 14*n + 23. Is b(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067623144 rounded to seven decimal places?\nAnswer: 0.0006762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 8:59 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/81*-3*-2. Sort -2, -3, w in decreasing order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(2\/114). Let u = c + 41. What is the smallest common multiple of u and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.54 + 0.34. Let w = -1.1 + i. Let l = w - -0.32. Which is the second smallest value? (a) l (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24364 and 16.\nAnswer: 97456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9728, 10082, 10672, 11498, 12560, 13858, 15392?\n\"Answer: 118*h**2 + 9610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5436 divided by -12.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/9)*b**(-14)\/b*b assuming b is positive.\nAnswer: b**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/3, 8, -5, 0.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiiy when four letters picked without replacement from {y: 2, i: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Calculate 1 - 3 - (1 + (-3 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.6 + -8.8. Sort 4, 3, -1, m in ascending order.\nAnswer: -1, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*f**2 - 260*f**2 - 215*f**2.\nAnswer: -794*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + (14 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15726527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:01 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 51*j**3 - 18*j**2 + j - 1. What is the units digit of h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from dhhbhbbsdhhxchcbx?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67202120 by -40.\nAnswer: 1680053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 4 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279 - -423. What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/12 + 524*b. Let j(g) = -2*g**2 + 129. Give j(u(l)).\nAnswer: -2*l**4 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 2. Let g be r(-5). Let h(c) = -2*c**3 - 2*c**3 + 3*c**3 + 8 + 6*c**2 + 7*c. Calculate the smallest common multiple of h(g) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 2717 + 685. What is the highest common factor of 126 and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(33)\/sqrt(3) + sqrt(1584) + 1 - (-4 + sqrt(99) + 1 + sqrt(99)))*-5)**2.\nAnswer: 1600*sqrt(11) + 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -286\/3 - 1\/3*u**3 - 431\/3*u - 146\/3*u**2 = 0.\nAnswer: -143, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73294 is divided by 72069.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:25 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**3 - 4*f**2 + 8*f - 54. Let u(m) = m**2 - 2*m + 2. What is -k(t) - 4*u(t)?\nAnswer: -7*t**3 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-i - 3*i + 5*i) + (-4 + 4 - 2)*(3*i - 2*i + i) - 62*i - 54*i - 9*i + (-3 + 0 + 1)*(5*i - 3*i - 3*i).\nAnswer: -129*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*sqrt(171).\nAnswer: -2 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -2, 5, -3 in decreasing order.\nAnswer: 5, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25504346911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u\/u**(-2\/3))\/u))*u**(-1\/5)*u**1*u**3)\/(u**(-6\/7)*u*u\/u**0)**(-2) assuming u is positive.\nAnswer: u**(709\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/((-1)\/9). Let i = t - 1. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7216902, -7217121, -7217340, -7217559, -7217778?\n\"Answer: -219*h - 7216683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 less than -45591322?\nAnswer: -45593256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) + (-18)\/35. Let x = 2516 - 2517. Is x less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 16*a**2 + a - 23. What is z(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d - 1 + (0 - 2 + 0)*(-d + 3*d - 4*d))*(-46*d - 51*d + 94*d + 1).\nAnswer: -18*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 36. Solve -z - 4*b = 5, -8*b + 3*b = -4*z + d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(5) + -1 + -2.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 + 17\/(-3). Put a, -10, 1 in descending order.\nAnswer: 1, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/5 - 54063*o\/5.\nAnswer: 3*o*(o - 18021)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/2*1\/(-3). Which is the second smallest value? (a) m (b) -6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 414 + -285. Suppose -2*z = 3*p - 14 - 8, 4*p = -4*z + 36. Suppose 3*d - b = -3*t, 2*d + 0*d + 154 = p*t. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q + q - 2*q)*(-12*q**2 - 45*q + 45*q + 3*q**2 - 3*q**2 - 2*q**2 + (-2*q**2 - q**2 + q**2)*(2 + 0 - 1) + 0*q**2 - q**2 + 2*q**2).\nAnswer: 30*q**3 + 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1048*m**2*n*s**3*y + 3*m**2*n*s**2*y**3 - 78*m**2*s**2 + 6*n*s**2*y + n*s*y**3 - 23*s**3*y**3 wrt s.\nAnswer: -6288*m**2*n*y - 138*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + -1 + 0 + sqrt(1539)))**2 + -5 + -2.\nAnswer: -54*sqrt(19) + 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*t**2 + 148036*t - 2778032 = 0. What is t?\nAnswer: -7549\/8, 92\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60128430839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54\/1723 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 4*i**2 + 19*i - 1. Let w be u(15). Let c = -4581 + w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1 + (-125)\/30 + 173\/(-519))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 + 12*q**5 - 2*q**5 + (-q - q + q)*(0*q**4 - q**4 + 0*q**4) + 6*q**5 - 2*q**5 - 3*q**5.\nAnswer: 17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147476361*h + 27*h**3 + 147476361*h.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -0.4. Let s = 19 - 15. Let f = s - r. What is the biggest value in f, -0.1, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12201022020 (base 3) in base 6?\nAnswer: -2224440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 78369*f\/4 - 1018459\/2.\nAnswer: -(f + 26)*(f + 78343)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 30999*o + 0*o**2 - 8 - 15677*o - 15636*o + 3*o**2 as t + s*o + j*o**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4104*q - 28586 = -5091 + 64265 + 105128 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 140.\nAnswer: -3\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-4) + -3 + -1. Solve -2*z + 7*s - 14 = 4*s, 5*z = 3*s - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 27 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + 25. Let u(y) = g*y - 99*y + 44*y. Let q(f) be the first derivative of f**2 - 3. Give q(u(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1507*c + 1494*c = -3074747. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 101461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 + b**2 + 15*b - 7. Calculate w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12922, -12948, -12984, -13024, -13062, -13092?\n\"Answer: n**3 - 11*n**2 - 12912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541 is divided by 611?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4*(-1 - 3). Let j(y) be the third derivative of -y**8\/20160 + y**6\/720 + y**5\/60 - 2*y**2. Let g(z) be the third derivative of j(z). Determine g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -7*w**4\/4 - 5*w**2\/2 - w + 411. Let l(s) = -8*s**3 - 6*s - 1. Determine -5*b(v) + 4*l(v).\nAnswer: 3*v**3 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 + 44*k + 65. Calculate c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = 22*b + 2*v + 6, 15 = -5*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (174\/39 + 7)\/2 + -6. What is the second biggest value in g, -3, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707253638 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/60 - 22*w**4\/3 + 59*w**3\/2 - 110*w**2 + 10*w. What is p in x(p) = 0?\nAnswer: -177, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 182 = 7*c - 65 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 13*j = -18, 3*d = 2*j + 3656571. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63264 divided by -48.\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 5. Let s be g(6). Let m = -18 + s. Let k = -2 - m. Which is the biggest value? (a) -1\/3 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(96)*1)\/sqrt(4)*6)\/(3*(2*sqrt(32) - sqrt(392)*2)).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 + 17*k + 13. Let d be j(-3). Let m(w) = 15*w - 104. Let c be m(d). Let r(l) = -29*l. Calculate r(c).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 122?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 10, 4*g + 4*w = 2*g + 74. Let a be 2 - (g\/(-3))\/(-1). Let d(y) = y**2 + 8*y + 4. Is d(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -288 - -292 - (-5 + -25).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 10*c**2 + 9*c + 7. What are the prime factors of f(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -920, -7389, -24936, -59099, -115416?\n\"Answer: -923*k**3 - k**2 - 5*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*2*-5)\/sqrt(9))\/(sqrt(45)\/(sqrt(108)\/(sqrt(36)\/sqrt(3)))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -20655?\nAnswer: -20655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13547.212 rounded to the nearest one hundred?\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-12) - (38\/(-6) + 0). Solve 4*z - 6 = -3*m + f, -2*m + 2*z = 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 20. Let w = -7 + 16. Let f be z(w). What is the highest common factor of 55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3083.\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35\/4, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10554345*k**2 + 12*k - 345841 wrt k.\nAnswer: 21108690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + x**2 - 1. Let z be i(-1). Suppose z = -2*q + 3*q. Suppose -q*d = -14 - 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.04 + -0.04. Let n be (-5 - (-2 + 8)) + 3900\/351. What is the nearest to -0.2 in n, -3, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = x - 104640, -209*n + 418572 = -201*n + 2*x. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5297 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14819 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -8 + -2 + (-32536)\/(-4116).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024498555?\nAnswer: 5, 204899711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from lnnntlfntt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 536816*g**2 + 63*g - 1. Is s(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4) - -2*sqrt(20)\/sqrt(5) - sqrt(4) - sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y**2 - 226*y**2 + 52*y**2 + 52*y**2 + 52*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1442, -5967, -13508, -24065, -37638, -54227?\n\"Answer: -1508*u**2 - u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5 = p + 16, 5*p - 11 = -2*a - 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3408.0174 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 123d?\nAnswer: 123b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/988965 and -16\/549425?\nAnswer: 4944825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.9806686 to one decimal place.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(57)\/(sqrt(3)*-2*-4) + sqrt(133)\/(1*sqrt(7)*-2 + sqrt(7) - sqrt(7)))**2.\nAnswer: 257\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -635*k - 441. Let p(j) = 127*j + 88. Let v be 1\/2 - (-9 + 287\/14). Let f(u) = v*p(u) - 2*b(u). Find the first derivative of f(d) wrt d.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y = 29844 - 28464 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3 - 0)*-5. What is the common denominator of (-2)\/p - (-30)\/(-4) and 7\/((-105)\/18)*(-28)\/((-2688)\/225)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3068?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167.4 + -167. Let r be 16\/(-18) + (-30)\/(-45). Is k at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/x**8)*x**7\/x assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -8 + 4 + 8 + -64 + 6 + 19?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 1 (c) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 28302 = 2*d - 28308, l + 3*d = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(-2\/7))))\/(c\/(c\/c**(-1\/14))))**(-3\/19)*((c**0\/c)**(-2\/81))**16 assuming c is positive.\nAnswer: c**(5839\/21546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**4*v - 5*c**3 + 24*c*v - 2648*v wrt c.\nAnswer: -12*c**3*v - 15*c**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 10 - 10)*(-h + h - 3*h**2) - 3 + 3 + h**3 + (1 - h**3 - 1)*(2 + 1 - 4) to the form x*h**2 + i + g*h**3 + a*h and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 23*b**3 + 117*b**2 + 31*b - 147. Let s be j(73). What is s rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 3*u**4 - u**2 + (2 + 0 - 1)*(u**4 + 3*u**4 - 2*u**4))*(-1 + 3 + 1).\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13)*-2 - sqrt(13) - (1*sqrt(65))\/sqrt(5)) + -4 + -1*(sqrt(117) + -1) + -3.\nAnswer: -3*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -88. Calculate the greatest common divisor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/15, 1\/3, 2, 672288?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oji when three letters picked without replacement from ojggiioiigigi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11791710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -549, -824?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1239 - -8675\/7. Let t = -0.2 - 0. Sort -1.6, -1, v, t in decreasing order.\nAnswer: v, t, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59473070 is divided by 59473029?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:19 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1367, -2735, -4105, -5477, -6851?\nAnswer: -8227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 6. Let k = -8 - b. Let f = k - -6. Is -1 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - 6 - -17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2649*a + 2629*a + 320 = 0 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4971885*f*n + 19409*n + 21 wrt f?\nAnswer: 4971885*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -2459, 0.5, 0.2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -8*i**6 + 28*i**3\/3 - 73*i**2 + 3*i - 1178. What is the second derivative of r(n) wrt n?\nAnswer: -960*n**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42750 - 4189435\/98. What is the common denominator of j and -87\/574?\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57319 + 287107\/5. Suppose -66\/5*y**2 - 576\/5*y - 2\/5*y**3 - r = 0. What is y?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = -3820. Suppose -s + 195 = -g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2145, -5, 13, 0, -1 in ascending order.\nAnswer: -5, -2, -1, 0, 13, 2145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 5*n - 7. Let p be i(-5). Let k(x) = -x - 4. Let h be k(p). Suppose -h*s = -6*s + 15. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-9) + ((-1505)\/(-9) - 0) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1955*j. Let b(v) = 2*v - 1. Determine b(x(t)).\nAnswer: 3910*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*c + c - 8*c + 0*c - 2*c**4 to w + a*c**4 + j*c**3 + o*c + g*c**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 + 3)*3900\/(-450))\/((88\/11)\/(-4)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**14\/((v*(v**5\/v*v)\/v)\/v**(-8))*(v\/v**(4\/9))\/v**(-5)*(v**(-1)\/v)**14 assuming v is positive.\nAnswer: v**(-575\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 70a69?\nAnswer: 70a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40*54\/(-135))\/(3\/3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 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: Suppose -34*w + 26*w = -14360. What are the prime factors of w?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 6. Give u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -43*m**2 + 152*m + 300. Let s(w) = -23*w**2 + 77*w + 150. Let q(x) = 6*p(x) - 11*s(x). What is b in q(b) = 0?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(153)\/(sqrt(36)\/sqrt(4)) - (-6*sqrt(51)\/sqrt(3) - (sqrt(2448)*1 + sqrt(2448))**2))*6.\nAnswer: 42*sqrt(17) + 58770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.86 - 9.14. Let y = -17.2 - -17.1. What is the second biggest value in 0.2, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4499 times 17636\nAnswer: 7934.4364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11942 and 80.\nAnswer: 477680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbfbxfxbbx. Give prob of picking 4 x.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 236510, 236457, 236388, 236297, 236178?\n\"Answer: -w**3 - 2*w**2 - 40*w + 236553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -2\/13 (c) -6\/11 (d) 0.377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 43644563?\nAnswer: 43644562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5004*m = 4995*m - 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -365, -191, 141, 685?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5276 - -5274. What is the second smallest value in 2, 0.13, -1, 1\/11, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10) + 12 + -4 - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2 minus 0.3115?\nAnswer: 21.8885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27811 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32660 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32130 + -13?\nAnswer: -32143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 - 3*v - 4. Let a be k(3). Suppose -14 = 5*r - 3*f, 0 = -a*r + 5*f - 32 + 12. Let l = r - -7. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(363) + sqrt(363)*-1*6 + -1*sqrt(363) + sqrt(363) + 1 - (sqrt(363)*1 + 0 + 0))**2.\nAnswer: -132*sqrt(3) + 13072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 17. Let l be 20\/6*4\/((-16)\/(-12)). Is j(l) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z + 27. Let q(v) = 2*v + 9. Let f(m) = -4*a(m) + 11*q(m). Let t be f(7). Suppose -6 = 4*d + 6, -t*u - 4*d = -23. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000121002121 - -21?\nAnswer: 21000121002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 + (-4)\/(-6). Let t be 7 + a\/(1\/(-2)). Let j = t + -10. Let p(g) = g**2 + 7*g + 2. Calculate p(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139035845 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and 1.57?\nAnswer: 5.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5\/5 - 26*i**4 - 496*i**3\/5 - 488*i**2\/5 = 0.\nAnswer: -61, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-850)\/(-690)))\/(-4*9\/60).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 214*h - 9502. Let c be i(63). Solve c*l + 223 - 256 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -126\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*15\/20*2\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmpp when four letters picked without replacement from {d: 2, m: 1, f: 1, p: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6512521 + 2?\nAnswer: 6512523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54991514 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 21 = 2*o, -151 = -5*o - 5*p - 176 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 9*n**2 - 11*n - 19. Let a be p(-8). Solve -4*k = -3 - a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.50885 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 82705*n\/4 - 165394.\nAnswer: -(n + 8)*(n + 82697)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 287*t - 2297. What is s(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -293 + 500. Calculate the remainder when l is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 330 in ascending order.\nAnswer: -5, -3, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 - 5*d + 13. Let v be b(-7). What is the least common multiple of 22 and (v + 3 + 25 + 3)*1?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -3 (b) -11796 (c) 0 (d) -45.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964239?\nAnswer: 17, 174367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -115, -282, -517?\n\"Answer: -34*q**2 + 3*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**4 + 2*g**3 + 16*g**2 - 18*g - 12. Let v(o) = o**3 - 2*o**2 - o - 1. Suppose 31*j + 1 = 30*j. Let z(t) = j*q(t) - 6*v(t). Factor z(k).\nAnswer: 2*(k - 3)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 2, r: 1}. Give prob of sequence cr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 33*r**2 + 19*r + 10*r**3 - 9*r**3 - 27 + 42*r. Let u be s(-31). Solve 0 = 3*d + u + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -271 + 516. Suppose z = -q + 85, -o = -10*z + 7*z - 5*q. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(45\/(-12)))\/(2\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 12, c: 3}. What is prob of sequence zcc?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42132820, 42132816, 42132810, 42132802, 42132792, 42132780, 42132766?\n\"Answer: -c**2 - c + 42132822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68, -323, -1442, -3649, -7304, -12767?\n\"Answer: -60*i**3 - 4*i**2 + 41*i + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 + 335 - 2*b**3 + 342 - 1019.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u + 4*i + 171, 0 = u - i - 159. Let q(n) = -7*n**2 - 155*n - 9*n**2 + u*n + 17*n**2. Let s(d) = 1 - 28*d - 1. Give q(s(o)).\nAnswer: 784*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3650, 7293, 10932, 14567, 18198, 21825, 25448?\nAnswer: 29067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/5 - 164*h**3\/5 + 1952*h**2\/5 + 16356*h\/5 + 5382 = 0.\nAnswer: -3, 23, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 964 (b) 2\/11 (c) -0.1 (d) 3\/4 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/47644777 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + 0*a**2 - a**2)*(14 - 7 - 5) - 4*a**2 + 2*a**2 + 0*a**2 - 4*a**2 + 5*a**2 + 2*a**2 to the form t*a**2 + v*a + m and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - ((-4 - -96) + -79).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193096775923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/34 and -55\/153.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 + 18*v + 31. List the prime factors of f(-12).\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*i + 1642, 0 = -3*s + 5*i + 219 + 818. Calculate the remainder when s is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 5*c**2 + 6*c + 3. Let d be f(6). Suppose 0 = 4*a - d*k + 18, -4*a - k = -0*k + 26. Let j be 7\/2 + 3\/a. Solve -j*t + 2*t = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f - 2. Let k(d) = 4*d - 19. Let s be k(4). Give z(s).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3751, 7709, 11761, 15955, 20339, 24961, 29869?\nAnswer: 35111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -5. Let r(n) = 2*n**2 - 5*n - 1. Let x be r(f). Let s be (2 - -1) + (-11)\/x. Solve -3*z + 20 = -3*k - 8*z, s*k = -z - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 774.7125 months?\nAnswer: 6.4559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 21 = -4*q, -2*m = -0*q - 3*q + 22. Let r = -59 + 59. Let d be (r - 1) + 1 + (-7)\/(-14). Which is the second biggest value? (a) 3 (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(3\/6). Let j(x) = x**2 + x - 1. Let d(r) = 9*r**2 + 6*r - 6. Let u be 2 - (3 - ((-1 - 2) + -2)). Determine m*d(b) + u*j(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 297*p - 61. Let s be d(-7). Let c = -953 - s. List the prime factors of c.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 215, 340, 525, 776, 1099, 1500?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 28*z - 16. Let d(w) = -33*w + 24. Let m(q) = 2*d(q) + 3*k(q). Let h(v) = -v**2 + 19*v. Calculate h(m(b)).\nAnswer: -324*b**2 + 342*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0 - 4\/21*f**3 + 1\/2*f**2 - 13\/84*f**4 + 1\/70*f**5 + 79*f. Determine b so that l(b) = 0.\nAnswer: -1, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 734 or -39047?\nAnswer: -39047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -353*q - 1406. Let p be i(-4). Solve -j = -4*g + 16, 4*g - 10 - p = -2*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 4:48 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/4, 0.041, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76))*-4 - sqrt(209)\/((1*sqrt(99))\/sqrt(9)).\nAnswer: -9*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 5*y**2 - 5*y + 11. Is 11 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 3 + 13 - 20*s**2 + 146*s**2. Let g be p(-12). What is g rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 33*f**2 - 405*f - 14055. Give q(-32).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 7\/60*i**5 + 1\/6*i**3 + 0*i**4 + 0*i + 2*i**2 - 7. Let n(f) be the second derivative of g(f). Calculate n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09381 - -0.09381. Which is the nearest to s? (a) 2.8 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x + 53*x = -545. Suppose -6*g + 3*g + x = 2*c, -4*c + 183 = 5*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 2*x - 6*x - 10 = -7*x, -x = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m - 13. Let p be c(-7). Suppose -3*q + p = -4*w, w - 2*q - 18 = 5*w. What is the units digit of (-243)\/w - (-4)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6312 - 6315. Sort 5, -4.4, 2, p, -5 in decreasing order.\nAnswer: 5, 2, p, -4.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4941 is divided by 56.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -57957396.\nAnswer: -57957396.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 35*q**2 - 14. Let x(g) = -7*g**2 + 3. Let b(z) = -94*z + 390. Let c be b(5). Let v be ((-3)\/2)\/(c\/160). What is v*p(k) + 14*x(k)?\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d - 10 = -4*u, 3*d + 4*u - 7 = 0. Let i be ((-13)\/52)\/(d\/8). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/127428 and 89\/518.\nAnswer: 127428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58053141039\/1192 - 48702309. Let a = t - 23\/149. Let z = 189671\/91400 + -2\/11425. What is the common denominator of a and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.44259 to two decimal places.\nAnswer: 3.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402032 + 10?\nAnswer: -402022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*((sqrt(396) - -4*(1 + sqrt(396)) - sqrt(396)) + (sqrt(396) - 3*sqrt(396)*-5) + sqrt(396) + 2))**2.\nAnswer: 54432*sqrt(11) + 6288187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*u + 12, i - 8 + 24 = -4*u. Suppose -16 = -3*w + 2*l, 14 = 3*w - 3*l + 2*l. Suppose 0 = y - 2*y + 5. Put y, w, i in increasing order.\nAnswer: i, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 25, -1, 5 in decreasing order.\nAnswer: 65, 25, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 4*u + 15, -3*j - 1 + 10 = 2*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0*b + 5*b**2 + 4\/3*b**3 + 0 + 0*b**4 + 0*b**5 + 11\/120*b**6. What is the derivative of z(g) wrt g?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -337 - -326. What are the prime factors of (-3 + 4)\/(v\/(-3674))?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4905 + -0.06.\nAnswer: 4904.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 1424*j**2 + 285*j.\nAnswer: -j*(j - 285)*(5*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -698188*q*r**6 + 49*q*r**2 + 122*q*r - 44*q - 8*r**6 - 2*r**2 wrt r?\nAnswer: -83782560*q*r**3 - 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 20*f + 11. Let w(k) = 10*k + 6. What is 11*w(p) - 6*y(p)?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**7\/120 - f**6\/720 + f**5\/60 - f**4\/12 + 3*f. Let k(g) be the third derivative of i(g). Suppose k(q) = 0. What is q?\nAnswer: -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.61 - 3. Let p = k - -0.24. Let u = p - -0.967. What is u rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**3 + 12*v**2 + 3*v - 18 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 + 191. Suppose -6 = -b - b. Suppose -3*o = m, b*m = 4*o + o. Is g(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by 437\nAnswer: 85\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 4 (c) -2\/7 (d) 9\/10 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1286867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.95 - 8.95. Sort -28, d, -2\/41 in increasing order.\nAnswer: -28, d, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 6*w + 6. Let i be j(-6). Suppose -2*r = -4*k - 124, 3*r + 29*k = 24*k + 208. Let m(l) = 67*l - r*l - 22 - l**2 + 30. Calculate m(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 976 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 358?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isii when four letters picked without replacement from niniiiiininnsn.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16693 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 3. Let w = -1 - z. Let d = w + -3.5. Which is the second smallest value? (a) -2 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 16. Let i be w(-13). Solve -3 = 2*m - i*z, 3*m = -5*z + 10 - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185742*i**4 + 3166*i**2 - 3 wrt i?\nAnswer: 4457808*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 35*n**2 - 11*n + 17. Suppose -8*r = -3*c - 3*r - 56, -3*c - 54 = -3*r. Let x(i) = 12*i**2 - 4*i + 6. Determine c*x(j) + 6*s(j).\nAnswer: 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 10*u - 63. Let q be w(9). Suppose -114 + q = -2*h. Suppose -9*s = -6*s + 12. Put -5, s, -2, h in decreasing order.\nAnswer: h, -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/3 - 51*n - 145. Let q(t) = 2*t. Calculate k(q(p)).\nAnswer: 4*p**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169782 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -164 * -8.56\nAnswer: 1403.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102220 and 760?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84.6 + 70. Let w = 16 + k. Let b = w + -1.42. Is -1\/2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0*v + 17*v - 4 - v**2 - 52*v + 16*v. Let d be u(-12). Let q = d + -60. Calculate the highest common divisor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53911677 is divided by 258.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v - 74 - 76 + 6 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1312*u - 3230. Give b(-2).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 + 300 = 10*a - 35*a. Solve 94 = -a*g - 46 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3639*p - 3565*p + 7120*p - 64*p**3 as r*p**3 + h*p**2 + y*p + x and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 + -111.5236. Let o = y - -2.048. Let z = o - 1.5. Round z to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13888232 is divided by 51?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37962\/(-684)*2036\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 27 = 5*j, -j - f + 13 = 2*j. Let o(g) = 3*g + 6. Let b(u) = -8*u - 18. Let t(q) = -4*b(q) - 11*o(q). Let x be t(j). Which is smaller: x or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -573*n**2 + 85*n**3 - 372*n**2 + 2*n - 82*n**3 as i + j*n + f*n**3 + q*n**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46830133 and 686.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**2 + 6381. Let m(t) = 604*t. Calculate m(v(l)).\nAnswer: -1208*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 24 + 8. Suppose 40 = 3*l + 31. Suppose -q = 4*c + 11, -3*q - 2*c + 1 = 4. Solve -q = l*b - a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4758 - 4744 + 18959 - 4808 - j - 4746.\nAnswer: -j - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + -2 + sqrt(208) - sqrt(208) - ((-1 + sqrt(208))**2 + -4)) + -4)*5.\nAnswer: -1045 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 703520448 divided by 87940056\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = -5, 3*q = 4*w - 2079. Suppose -274 = -p + l - 10, -l = 2*p - w. Round p to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180623148.\nAnswer: 2, 3, 71, 101, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 4*s - 27, -664*s = -3*o - 659*s + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4251*o**2*y**3 - o**2*y - o**2 + 359*o*y + 89*y**3 - 224*y wrt y?\nAnswer: -25506*o**2*y + 534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14191, 56860, 128245, 228568, 358051?\nAnswer: 516916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131\/3 + 44. Let p = 2.46 - 2.36. What is the smallest value in -3\/8, c, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(15\/4))**(-21)*o*(o\/(o\/(o**(-32)*o)))\/o*o*o\/o**(-4\/17) assuming o is positive.\nAnswer: o**(-7311\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from eppepblbceapp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77612*b - 392 = -77598*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose -b*c + 5 = -x - 4, 3*c = x + 13. Let r be -2 + c + (3 - -1). Solve 2*l + l = r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-8)*(-52)\/(-260)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, -5, -4 in decreasing order.\nAnswer: 5, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - 7*q - q)*(-3 + 7 + 2)*(-1 + 4 - 1) + (0 + 2 - 3)*(0 + 0 + 2*q).\nAnswer: -170*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-14))\/(((-5)\/(-6))\/5). Calculate the remainder when 536 is divided by c - (-11)\/((-55)\/(-260)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(272\/102))\/(-1*1) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 41*g + 726879 = 28*g. Is 28 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 d when three letters picked without replacement from uuuuuuuxuxdxuud?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (31 - (-51 + 58)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 705*o + 4189. Give z(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -59287*w - 118445. Give t(-2).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/48*-12)\/(20\/8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 9:13 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49\/16 + -925\/272. Find the common denominator of 87\/136 and r.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 144. Let z(o) = -5*o + 3. Let c be z(-3). Calculate the greatest common factor of c and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (37\/(-2) + 3)*(-32)\/(-4). Let j = 283 + i. What are the prime factors of j?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d + 12 = 0. Let y be 2*-1*6\/d. What are the prime factors of 8\/y*6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**3))\/((k**7*k)\/k*k))\/(k**15*k**7*k) assuming k is positive.\nAnswer: k**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**4 + 8*h**3 + 9*h**2 - 8*h - 8. Let p(z) = -6*z**4 + 5*z**3 + 6*z**2 - 5*z - 5. Let t(g) = -5*k(g) + 8*p(g). Factor t(i).\nAnswer: -3*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**2 + 7*d**2 + 4*d**4 + (33*d**3 - 23*d**3 - 60*d**3)*(1 + d - 1).\nAnswer: -46*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -62480 divided by -22\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnv when three letters picked without replacement from {t: 3, u: 10, n: 2, v: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000156548095 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.11? (a) 10 (b) 36 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 225*l**2 - 46*l**2 + 0*l.\nAnswer: 179*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 - 2451*a - 47728. Calculate q(-388).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5, -950.74?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -363, -631, -807, -891, -883?\n\"Answer: 46*n**2 - 406*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*c**2 + 2*c**2 + 6*c - 6*c to the form m*c**2 + x + r*c and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/6 + 7*x**3\/6 - 5*x**2\/3 - 8*x\/3.\nAnswer: x*(x - 2)*(x + 1)*(x + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3165 (base 7) to base 4\nAnswer: -101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3)\/(5\/(455\/39))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107722 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6904 - 2.74. Round h to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 + 5834 + (3 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence off when three letters picked without replacement from ffofoofxfkkvvvlofx.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z**(-6))**(-13)\/(((z\/z**(3\/4))\/z**(5\/6))\/(z**7\/(z*z\/(z*z**(-3))*z))) assuming z is positive.\nAnswer: z**(655\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4718809, -4718807, -4718805, -4718803?\nAnswer: -4718801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11928831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r + 0 + 1 - 4 with respect to r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 55. Let b = t - -28. What are the prime factors of (-1)\/(-2) + 84\/b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 13*x + 1. Let t(n) = 27*n + 2. Let k(w) = 5*s(w) - 2*t(w). Let z(l) = -l**2 + 4*l + 6. Let r be z(6). Let v = r + 5. Determine k(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 - 337*b**2 + 3*b + 5. Let v(r) = r**3 - r**2 + r + 2. What is -k(g) + 3*v(g)?\nAnswer: -g**3 + 334*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 942*h - 229. What is the hundreds digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 27975700*s + 97829973811250 = 0. What is s?\nAnswer: -6993925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11230450433 + 0?\nAnswer: -11230450433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6660\/1480)\/((-78)\/(-10)*2\/(-16)).\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 3*g - 238, -71*t + 20*t + 85 = -g - 27*t - 27*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2552.1 and -25.\nAnswer: 63802.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266220983.\nAnswer: 7, 89, 331, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*m, -2*g - 3*m - m = -114. Let j = g + -58. Let p = -23 + 42. Calculate the remainder when p is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 1. Let z be h(6). Let l = -27 - z. Sort -4, l, 0.1 in decreasing order.\nAnswer: 0.1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from {b: 1, c: 4, t: 2, z: 2, r: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -35053?\nAnswer: -35053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 5*a + 7. Suppose 4*z - 4*o = 28, -2*z + 0*o + 14 = 3*o. Let x be 4*2*z\/8. Give v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1024\/27 - 11554\/(-155979)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -6. Let z be 3\/(-12) + (2 - 247\/4). Let l = -20 - z. Calculate the highest common factor of l and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m - 3*m)*(-5*m + 2*m + 4*m) + (-2 + 5 - 1)*(-2*m**2 + m**2 - m**2) + 3*m**2 - 3*m**2 - m**2 to the form f*m + j + z*m**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -44. Solve 0 = -l*u - 17 - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2 + (1 - 2 + 0)*(-2 - 4 + 5))*(2*q + q - 6*q) as u + c*q and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313134503 + -4?\nAnswer: -313134511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1609, -1605, -1601, -1597, -1593?\nAnswer: -1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**6\/24 - 7*y**5\/60 + y**4\/12 + 3*y**2\/2 - 4*y. Let b(q) be the first derivative of c(q). Suppose b(a) = 0. What is a?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1503 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20732813 (base 9) in base 11?\nAnswer: 5710a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -933*m**4*n**3 - 188*m**3*n**2 + 228*m*n**3 - 18*m*n - n**2 - 2*n - 5 wrt m.\nAnswer: -11196*m**2*n**3 - 1128*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 115 + 10*u**2 - 36*u - 9*u**2 + 0*u**2. Let j be q(14). Find a such that -2\/13*a**5 - 8\/13*a**2 + 4\/13*a**4 - 2\/13*a + 4\/13*a**j + 4\/13 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1) + 7 + 348. Let i = -287 - -702. Suppose 0 = 3*s - u - i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145013 is divided by 72379?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108587, -108592, -108599, -108608?\nAnswer: -108619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -38*v + 520. What is the highest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8927000 to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 = 2*o, -1 = 4*x - o - 14. Suppose -x - 13 = -3*g. Solve -g*m = i - 0*i - 21, m - 25 = 5*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.001 + 0.301. What is the closest to 2\/5 in q, -1, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30695677 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1412 - -1411. Let j(o) = -5*o**3 - o**2 - o - 1. Let r be j(-1). Let z = r - k. Solve -1 = -b + 3*w, -b - z*w = -0 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from aafa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-199)\/(-3) - -4) + (-3)\/(11 + -2). Solve -7 = q*a - 71*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 26*p + 9)*(-p**3 + p**3 - 3*p**3) to the form x*p**4 + m*p**2 + c*p**3 + l*p + u and give x.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*j = -72, -25*j + 71*j - 104 = -4*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 1. Let k be a(2). Let h = k + -4. Let v be h\/(-3)*0 + -3. Let p(m) = -m**3 - 5*m**2 - 3*m + 3. Determine p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 10, 14, 18, 22, 26?\n\"Answer: 4*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 + 7289*s**3 + 4*s**2 - 29156*s = 0. Calculate s.\nAnswer: -2, 0, 2, 7289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 13*u + 4. Let n be v(-13). Calculate the smallest common multiple of (n - 1)*(-3 - (-93)\/9) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 5021*b + 5034*b - 2*b**2.\nAnswer: -11*b**2 + 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 16*n**3 - 3*n + 18*n**3 + 5*n**2 - 33*n**3 + 1. Let p = -2 - -4. List the prime factors of f(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 2*z**3 - 2*z**3)*(3*z**2 - 5*z**2 + 0*z**2 + 2).\nAnswer: 2*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, -8, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/2)\/(-10))\/((220\/1260)\/11)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*h - 900, 1164 = -0*x + 4*x + 2*h. What is the remainder when x is divided by 111?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5*(-285)\/(-525)*21\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -1.1. Let n(c) = -c**3 + 3*c**2 + 3*c + 3. Let u be n(4). Let l = -3 + -2. What is the biggest value in u, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -380*q**3 - 2*q**2 + 11*q + 20. What is the tens digit of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -2*h**3\/15 - 3*h**2\/5 + 1. Factor t(k).\nAnswer: -2*k*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - 0 - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34955155, -34955156, -34955157, -34955158?\n\"Answer: -s - 34955154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:02 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73904837 to the nearest integer?\nAnswer: 8597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -52048, 2 in decreasing order.\nAnswer: 4, 2, -52048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6*12\/54 - (-24)\/16\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 2484?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/252 and (-153 - -146) + (-857)\/(-140).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194*((-357)\/(-6))\/17 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 3. Let k be n(-2). Let a(t) be the first derivative of -83999*t**3\/3 - t**2\/2 - 1. Let p be a(k). Round p to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.05, 2, 6\/215, -1311 in decreasing order.\nAnswer: 2, 6\/215, -0.05, -3\/8, -1311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 - -16560856795.5.\nAnswer: 16560856795.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098297 is divided by 143.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15071 greater than 15095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 17*p**2 - 20*p - 8. Calculate l(-18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0 - 1)*-1. Let y = 3 + m. Let h(d) = -2*d + 4. Let b(x) = x - 3 - 2 + 0 + 2*x. What is y*b(v) + 5*h(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -11. Let o(q) = q + 3. Let b be o(f). Let u = 1.6 + -2. What is the closest to 2 in u, -3\/7, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 652640 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 2720672631.\nAnswer: 3, 33588551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13233 (base 6) to base 7.\nAnswer: -5640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 7*l - 5*l**2 - 3 + 0*l**3 + l**3. Let f = -7 + 13. What are the prime factors of b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*i - 842 - 63, -5*i + 1140 = -5*r. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*y - 39 = -2*y, 0 = -4*o - 3*y + 16. Let c(f) = f**3 - 3*f**2 - 32*f + 25. Let h be c(o). Let l(i) = -4*i - 1. Give l(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {j: 1, d: 1, v: 1, b: 1, w: 2, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-354)\/2891)\/((-3)\/(-7)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28976 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29981 by 8.\nAnswer: 29981\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0159227839 to five dps.\nAnswer: -0.01592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 566151 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = s + 15, -99*s + y = -100*s - 6 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -790100 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99167554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/h**3*h)\/h)\/h)\/h**(-4))**(-2\/3) assuming h is positive.\nAnswer: h**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - j**2 - j**3 - 4*j**2 + 2 - 5*j. Let x be s(-6). Let c(q) = -4*q - 5 + 3 + 3*q. Calculate c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/60 - a**5\/60 - a**4\/12 - a**3\/6 - 3*a**2. Give y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -116*r**2 + 1 - 1 + 234*r**2 - 113*r**2. Let c(i) = 7*i**2 + 16*i**2 - 5*i**2. Determine h(c(m)).\nAnswer: 1620*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73577 - 739*o - 73577 + 252*o - 610*o.\nAnswer: -1097*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -916.9 - -917. Put -0.4, y, 39\/7 in increasing order.\nAnswer: -0.4, y, 39\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 9.45?\nAnswer: 47.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1166 and 132076?\nAnswer: 1452836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/2 + 1264*f**3 + 20115*f**2\/2 - 56682*f + 45360 = 0.\nAnswer: -2520, -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 109 = -299. Suppose -5*i = -l - 119. Suppose 0 = -7*s + 4*s + i. Solve 3*j = -3*t - 12, 3*t + s = -4*j + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*26\/(-6) - 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15847 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a = 2 + 831 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 719537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 68 - 68.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 12. Let q(x) = 2*x - 3. Let g be q(-1). Let b be y(g). Calculate the greatest common divisor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3390)\/66*4653\/(-3384) - (-6)\/16?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59721*l**2 - 59721*l**2 - 6*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162751*g + 1162799*g + 2688 = 0 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/17)*y*y\/y**7*y*y)**2 assuming y is positive.\nAnswer: y**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3 + 4*c**2 + 3. Let r(j) = -j**2 + 1. Suppose -15 = 3*t - 3. Let k(d) = t*r(d) - y(d). What is the first derivative of k(i) wrt i?\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 160. What is f(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 4. Let h be w(-3). Let z be (-2 + h)\/(-2) - -1. Solve 2*g + z = -1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45524 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*y - 3*y. Let a = -178\/11 + y. Is -1 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 1. Let h(d) = -36*d**2 + 2*d + 4. Let f(m) = -h(m) + 3*t(m). Let k be f(-1). Let j = k - 20. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2584)\/209)\/34*-55?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80180718.1126 + 1.04.\nAnswer: 80180719.1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/3 - 2120*p**4 - 4946972*p**3\/3 + 57865296*p**2 - 1612370594*p\/3 + 1136277560 = 0 for p.\nAnswer: -1607, 3, 11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 11 - (1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5622.9 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*g - 42. Solve 1 = 4*z - g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40762025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15a + 20a6b?\nAnswer: 20bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -5 (c) -232 (d) -2\/7 (e) -0.5 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/153 + (-65492)\/(-68). Suppose -11*x = -q - 14*x + 249, 4*q - r = -x. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 806279 and 2?\nAnswer: 1612558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208 - ((-12)\/(-30) + (-17)\/5)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4128 - 2802. List the prime factors of i.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14110110144 + -1?\nAnswer: -14110110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 2, 3 in decreasing order.\nAnswer: 3, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*s = -3*s - 8, 7 = 2*w - s. Let v be (-1 + w)\/2*5. Solve 2*n - 4*p - 6 = -3*p, 2*n = v*p + 22 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17c + 13a5b?\nAnswer: 13bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4228 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/107 in 110, 20, -0.1, 4, -48?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**16\/(r**(-5)\/r*r) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) 3 (b) -1.8 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 38*t + 3*u = -33, 5*u = -2*t + 15. Let a(m) = -4*m + 18. Calculate a(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g - 3*y, 0*g + g - y - 5 = 0. Let x = 15 + -8. Suppose 2*s - x = 1, 5*l - 3*s - 8 = 0. Solve g*w - 3*w = -a + 2, -w = -a - l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((6\/(-4))\/(-1)). Suppose j*g - 3*g - 2 = 0. Does 4 divide -12*((-10)\/4 - g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 5*o, -3*j + 6*j = 6. Let k(f) = f - 2*f + o - 12. Suppose -2*z + 18 = l, 5*z + 2148 - 2193 = -4*l. Determine k(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqgggqpzqgqgg. Give prob of sequence gpzq.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*d + 17. What is the lowest common multiple of 9 and (-4 + 6 + 0)*d\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((6 - 0)*68\/(-136))\/1. Let m = -41 + 36. Sort 0.03, j, m in decreasing order.\nAnswer: 0.03, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 933*n + 147662.\nAnswer: (n + 202)*(n + 731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13159 divided by -3?\nAnswer: -13159\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10449446 and 7997025?\nAnswer: 783708450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 6. Let r = 6 + i. Let t be r\/8 + 15\/20. Solve 6 = 5*a + t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -u - 4*u. Suppose 2*a + 3 = u*a. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1043 (b) 2 (c) -1\/8 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnni. What is prob of picking 2 n and 1 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(2\/11)*q)\/q*q**2)\/(q**(-2\/3)*q**(2\/7)*q)*(q*q*q\/(q*q*q**(1\/3)*q)*q)**22*((q*q\/q**(-7))\/q)\/q**(-2\/5) assuming q is positive.\nAnswer: q**(30757\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 - 545*x**3 - 19*x**2 + 4*x**2 + 9*x**2.\nAnswer: -545*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*b - 13, -5*f + 471*b - 469*b - 21 = 0. Put -696, f, -5, 0, 5 in increasing order.\nAnswer: -696, -5, f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -3)\/24*(-3 + 1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1961*m**2 - 5881*m**2 + 75 + m + 1958*m**2 + 1963*m**2 as g*m + r*m**2 + p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*x - 337*x - 2672 - 1864 - 677 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**2 + z - 5. What is the hundreds digit of c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1488353 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*y + 6*y**3 + 45*y - 22*y wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 38*w**3 - w. Let c be p(1). Let s = 73 - c. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -1 + -8 + 9. Suppose -x + b*g = -37, -2*g + 218 = 2*x + 2*x. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t*t**2)\/((t*t*t**(-1\/9))\/(t*t\/((t**6\/t)\/t)*t)) assuming t is positive.\nAnswer: t**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 7*t - 9. What is n(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -32. Is -24 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 14 + 85 = 0. Suppose 9*y - i*y + 400 = 0. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(1216) + -3)**2 - ((sqrt(2299) + 1 + (-1 + sqrt(2299) - sqrt(2299)) - sqrt(2299))*-5)**2.\nAnswer: -16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6633, -6695, -6801, -6951, -7145?\n\"Answer: -22*f**2 + 4*f - 6615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*o - 122 + 122 to s*o + w and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2))\/d*d*d**0*d)\/(((d*((d**(-2\/5)*d)\/d)\/d)\/d)\/d**(1\/11)))**(8\/9) assuming d is positive.\nAnswer: d**(656\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97295 and 15860?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(-21) + (-258)\/(-301). Let j = -1 - -2. Let i = -2 + j. What is the nearest to i in -3\/4, p, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22362498 - -44\nAnswer: 22362542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92830433?\nAnswer: 92830433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/4))**13*j**(-5\/6)*(j*j**12)\/j assuming j is positive.\nAnswer: j**(407\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 803, 1617, 2433, 3251, 4071?\nAnswer: 4893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 101021011012 (base 3) to base 2\nAnswer: 110001010100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021122 + 201202?\nAnswer: -1112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:59 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 3*p**2 - 4*p + p**2 + 2*p**3 + p**3 to q*p**2 + d*p + b + l*p**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 3125067850?\nAnswer: -3125067851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(d + 5*d - 2*d) + 1 - 2*d - 1)*(17*d**2 - 11 + 11).\nAnswer: -102*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3\/5 - 42124*y**2\/5 + 26385344*y\/5 + 52939216\/5 = 0.\nAnswer: -2, 671, 9862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 + 5 = 2*b, 0 = -3*f. Determine a, given that 6*a - 5*a**b + 0*a - 3*a**3 + a**2 + a**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 113*s**4 - 15 - 112*s**4 - 66 - 2*s**3 + 2*s**2 + 10 to v*s**2 + o*s**3 + u + y*s + m*s**4 and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-15))\/(8\/(-14)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 262100304 and 70837920?\nAnswer: 2621003040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 255460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 2*b**2 - 8*b + 7. Is 15 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/(16\/119*(-35182)\/(-180936)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q - 1. Let m(p) = -34598*p**2 - p + 8. Let f(v) = -2*i(v) + m(v). Let w be f(-10). What is w rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*r**3 + 20*r**2 + 506.\nAnswer: 27*r**2 + 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 x, and 1 q when four letters picked without replacement from xcrqrcharqhcccc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1059*o**2 + 1089*o**2 + 4 - 2149*o**2. Let s be 2\/(-7) + (-19)\/7. Give f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 658801030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 divided by -426.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*j - 4, -13 = 4*p - 3*j. Let s = -18053\/4 - -4513. What is the second biggest value in 2, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28218 - 28218. Which is the biggest value? (a) -2\/15 (b) m (c) 0.1 (d) -0.6 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -5*p + 2*u, p = 4*u + 2. Let s be (-63)\/(9\/p + 4). Suppose -t - 2*n = n - 64, 5*n - s = -2*t. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 4*k**2 + 5. Let h(o) = o**3 - o**2 + 1. Let b = 26 - 27. Let f(g) = b*u(g) + 5*h(g). Find the third derivative of f(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1970011300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4425, -8808, -13195, -17586, -21981, -26380, -30783?\nAnswer: -35190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b = 6. Let v(j) = -3*j**2 - j**2 - 4*j + 0*j**2 + 2 + j**b + 3*j**2. Determine v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589*f - 596*f - 9429 = 0. Is 7 a factor of f\/(-5) + (-50)\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 47, 26, -15, -82, -181, -318, -499?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42 and 16\/1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -88, 2 in ascending order.\nAnswer: -88, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9)\/(w\/((w*((w\/(w\/w**6))\/w)\/w)\/w)))\/(w**(-1))**(1\/54) assuming w is positive.\nAnswer: w**(139\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjnnjrnnr. Give prob of sequence nnj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 163, 134, 85, 16, -73, -182?\n\"Answer: -10*h**2 + h + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f**3 + 0*f**3 - 2*f**3)*(13*f - f + f) in the form h + t*f**4 + d*f**2 + i*f + j*f**3 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1788788*r - 1788207*r + 23821 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, and 1 f when three letters picked without replacement from {f: 1, b: 1, e: 2, z: 7, p: 6, l: 2}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.8617 and 2.\nAnswer: 77.7234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = -2*f + 16*w + 2558, -5*f + 2*w = -6394. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-1 - -7) + (-1 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 6*r - 24 = 0. Calculate the remainder when 23\/2*(6 + 0) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17649 is divided by 673.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n + 285 = -20*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -4, -3 in decreasing order.\nAnswer: 61, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 + 1910*k**3 + 149892*k**2 + 2481696*k - 12446784 = 0.\nAnswer: -42, -36, 4, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 11*u**2 - 6 - 2 + 14*u**2 + u**3 to i*u**3 + f + n*u**2 + o*u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983.547l to millilitres.\nAnswer: 983547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 11*k**2 + 44*k + 14. Calculate the remainder when 87 is divided by z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-18)\/(-14760)*-4.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(684) + sqrt(684) + sqrt(684) - (sqrt(684)*2 + sqrt(684) + 2))**2 - ((3*sqrt(684)*-1)**2 - -4*(sqrt(684) + -1))) + 2.\nAnswer: -6141 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*p**2 + 0*p - 4*p + 4*p - 177*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let p(s) = -107*s - 14. Give p(k(b)).\nAnswer: -214*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-seven quarters of a day?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**5\/100 + 4*h**4\/15 - 11*h**3\/30 - 363*h**2\/5 - 302*h. Factor f(q).\nAnswer: (q - 6)*(q + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151\/10 + -113\/5. Let q = o + 8. What is the smallest value in 1, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = 9*g + 22. Let n = g - 52. Let t(x) = x - 4. Let w be t(n). Solve w = 4*p + p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 15. Let f(i) = -3*i**2. What is s(f(t))?\nAnswer: -18*t**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 15*z + 48. Let w(x) = 26*x**3 + x. Let q be w(1). Let d = q - z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 179?\nAnswer: 61\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -1622, -2389, -3124, -3821, -4474, -5077, -5624?\nAnswer: -6109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -9, -2, 69, -728 in decreasing order.\nAnswer: 69, 16, -2, -9, -728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163793 is divided by 40941?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z + 1. Is 19 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 0*n**2 + 0*n + n**2 + 5 + 4*n. Let x be 712\/44 - (-6)\/(-33). Let a be (x\/(-12))\/((-2)\/(-6)). What is y(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and 23467605.\nAnswer: 23467604.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200674 divided by 1.\nAnswer: 200674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h + 2*n - 12, -3*h + 2*n = -2. Solve 2*q - h*r - 21 = r, -4*r - 20 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 6*g - 5. Let a(j) = -5*j**2 + 1 + 25*j - 20*j + 3. What is -5*a(r) - 4*f(r)?\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 1490, 2746, 3986, 5216?\nAnswer: 6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/21 + 360\/14. Suppose l = -3*i - 2, l - 6*l + r = -3*i. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1117.0509ns?\nAnswer: 0.000000018617515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**5\/7 - 801*v**4 + 17427*v**3\/7 + 1083303*v**2\/7 - 1095120*v\/7 = 0.\nAnswer: -1872, -13, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11021022111121 (base 3) to base 10\nAnswer: 2269744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -o + 5*o - 5, 2*g - 5*o - 62 = 0. Suppose -g*r = -0*r + 21. Let t = 4 + -3. What is the closest to r in -0.4, t, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*n = -136, -2*n = 2*x - 0*n + 92. Let q(d) = -d + 7. Let w be q(9). Let l be (-52)\/x - w\/(-11). Solve -o + l = 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 20*b**3\/3 - 92*b**2\/3 + 32*b.\nAnswer: b*(b - 2)**2*(b + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 5185*w**4\/4 + 2*w**3\/3 - 2*w**2 - w + 4. Let t be a(3). Suppose -b - t = -5*b. Round b to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20653461 and 2673.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*p**4*y**3 - p**2 + 14*p*y**3 + 4388*y**3 + y with respect to p.\nAnswer: 148*p**3*y**3 - 2*p + 14*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 45 = -5*t. Put t, -0.06, 1\/3 in descending order.\nAnswer: 1\/3, -0.06, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 22 - 17. Suppose -o*m = -2*m + 3. What is the units digit of (m + 1\/(-1))\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1859 = -30*y + 2009. Suppose -3*c = -5*t + 416, -56 = -t + c + 26. Calculate the greatest common divisor of t and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 8:43 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1686417 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 421769783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821721 is divided by 12084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 10. Let g = d + 51. Let x be 236\/8 + g*(-9)\/12. Solve -4*p = -5*r + x, -5*p + 1 = -5*r + 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 4*h. Let l(o) = -2*o - 114. Let i be l(h). Let n = -64 - i. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/7)\/x)\/x)\/x**1*x**(1\/6)\/(x\/((x*x**(-1\/2)*x)\/x)))\/((x\/(x\/x**(-2\/5)))\/x**(-3\/5))**(-1\/24) assuming x is positive.\nAnswer: x**(-1011\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 22*w**3 + 0 - 45*w + 7\/3*w**4 - 20*w**2. Find q such that t(q) = 0.\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 4.8. Let i = -13\/7 - -72\/35. Which is the third biggest value? (a) n (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*a - 11 - 21, 0 = 2*u - 2*a - 2. Suppose -4*j + 54 = m, 5*j - 85 = 5*m - u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*f - 16. Let j be (16\/12)\/(4\/6). Is f less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2343 + 3952. Suppose -487 = 3*a - n. What are the prime factors of a?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and -1 - ((-271)\/(-108) - 3\/4)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -20*o**2 + 10*o**2 + 5*o**2 - 7*o + 6*o**2 + 17. Let j be u(4). Solve 2*l - l = -3*x + 15, 25 = j*x + 4*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.01 (b) 2 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 10:52 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 493841\/3 + -166212. Let n = u - -1619. What is the common denominator of n and -65\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((0 + sqrt(832))**2 - sqrt(832))*4.\nAnswer: -256*sqrt(13) + 26624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5*10\/27?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771878506 to the power of 1\/3, to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16578, 33168, 49764, 66366, 82974?\nAnswer: 99588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h**2. Let i(n) = 14*n - 11. Let c(x) = -5*x + 4. Let s(t) = 11*c(t) + 4*i(t). Calculate s(v(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by 74?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1102001102?\nAnswer: 1102001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 825?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-24)\/4)\/((-12)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1 (c) -4 (d) -0.169 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 25*z**2 - 9*z - 57. Let t be d(13). Let l(u) = -u**3 - 5*u**2 + 8*u + 7. Let b be l(-6). Is t != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 10*l**2 - 7*l + 6. What is the remainder when (-1334)\/(-14) - (-3)\/(42\/(-4)) is divided by x(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 150*t - 756. What is the remainder when b(31) is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1184, 1144, 1076, 980?\n\"Answer: -14*p**2 + 2*p + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 547*p**3\/3 + 96818*p**2\/9 - 59*p\/9 = 0?\nAnswer: -59, 0, 1\/1641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -181 - 153 - 12*z + 352. Let i be s(-7). Calculate the highest common factor of i and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15781603 - 68.6\nAnswer: 15781534.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b + 54*b**3 + 10*b - 39*b**3 - 2*b**3.\nAnswer: 13*b**3 + 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 13668193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05317 - -0.2?\nAnswer: 0.25317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -4*m**3\/33 + 3*m**2\/11 + 4*m\/11 + 7. Factor k(x).\nAnswer: -2*(x - 2)*(2*x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 - 1. Let k(c) = 23*c**3 - 6*c**2 - 6. Determine -k(z) + 6*u(z).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*r**3 + 10*b**2*r**2 + 138*b**2 + 36*b*r**3 + 147*r**3 + 4*r**2 - 1 wrt r.\nAnswer: -6*b**2 + 216*b + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/10*(-130)\/(-156)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + ((sqrt(176) + -2)*3 - (sqrt(176) - (sqrt(176) + -1 + 3))))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 - -1) + 0)*-4. Let f = -9.7 - -10. Which is the smallest value? (a) o (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -15*d**4 + 405845*d**3 - 1352695*d**2 + 1217395*d - 270530 = 0.\nAnswer: 1\/3, 1, 2, 27053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*t - 3245 - 5010, -5*d - 3*t = -8260. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39646047, 79292091, 118938135, 158584179, 198230223, 237876267?\nAnswer: 277522311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*y + 15*y**2 + 93*y + 101*y - 2.\nAnswer: 15*y**2 + 278*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615 and 221820?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 790 divide 127882586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169309, 169276, 169245, 169216, 169189, 169164, 169141?\nAnswer: 169120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14672*k**2 - 38*k + 7337*k**2 + 38*k + 7354*k**2.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + j = -4, 2*j = 4*l - 0*j - 8. Is l greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 7*x**4\/12 - 4*x**2 + 131*x + 11. Let m(d) = -15*d**2 - d + 17. Determine 6*m(a) + 13*w(a).\nAnswer: a**2 - 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - 3. Let w be o(6). What is the greatest common divisor of w and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5640157\nAnswer: -22560628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = -3*d, -d = 4*d + y - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8336 + 2.77. Let w = 1.1154 - d. Round w to 2 decimal places.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 10:55 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/2520 + m**6\/240 - m**5\/10 - 8*m**2. Let i(t) be the third derivative of z(t). Give i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*q - 4*q + 434, 3*q = 4*u - 332. What is the remainder when 857 is divided by u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3474*c - 253630. Calculate o(-73).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-5))\/((-6)\/330). Solve 3*o = -4 - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 4*y + 2*y)*(385281 - 6424*y - 385281) in the form h*y + x*y**2 + q and give x.\nAnswer: 6424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s**2 + 3*s + 2. Let j be 10\/(-20) - 5\/2. Let f be p(j). Suppose -3*n = n - 4*o - 208, -3*n + o = -f. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 305.959um?\nAnswer: 0.000000305959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-4 - -1))\/(-1). Let a be 36800*(10\/4 + w). What is a rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6577356\/19 or 346178?\nAnswer: 6577356\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 8. Let i(z) = -9*z - 28. Let f(c) = -6*i(c) - 21*t(c). Calculate f(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1) + -13 + -3514. Which is smaller: y or -3525?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*l - 1 - 7 = 0, -5*s - 3*l - 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let n(r) = -4*r - 9. Let z(a) = 3*h(a) - n(a). Suppose 0 = -5*u - 766 + 261. Let j = u - -95. Calculate z(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2. Let o(g) = 8*g - 5*g + 3*g. Give o(y(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6) + (-338)\/(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 106152280*o - 8451229911898800.\nAnswer: -(o + 159228420)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*h - 7\/4*h**2 + 3\/2*h**3 + 2 - 1\/4*h**4 = 0. What is h?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*g**2 + 5*g**2 - 6*g**2 + 7*g**2 + 5*g**3 wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96709\/75229 + -2\/10747. Which is the smallest value? (a) 1\/5 (b) r (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3232, 6274, 9314, 12352, 15388?\n\"Answer: -x**2 + 3045*x + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 100110011000011001?\nAnswer: 100110011000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l. Let y(x) = -2*x**2 + 65*x - 35905. What is y(u(q))?\nAnswer: -128*q**2 - 520*q - 35905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 508 = m, 5*r - 2*m - 1263 = -3*m. Suppose -r = -5*i - 6*i. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:39 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 24\/11, -3619.7, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1023747, -1023748, -1023749, -1023750, -1023751?\n\"Answer: -o - 1023746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.5 - 204.5. Let n = 186.000353 + c. Round n to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**6\/180 + a**5\/60 - 3*a**4\/4 + 4*a. Let n(u) be the third derivative of f(u). Let p be 2*(-1 - 0)*-1. Give n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 9:40 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 3888\/5*g - 176 + 108\/5*g**2 + 1\/5*g**3. Factor c(u).\nAnswer: 3*(u + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256 - -5032?\nAnswer: 4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2246 divide 4950701726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 13) to base 11.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 158719043 in ascending order.\nAnswer: -1, 2, 158719043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. What is the third derivative of z**6 - 7*z**2 - 10*z**6 + 2*z**6 + o*z**6 wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.02216 rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4290782 by 2551.\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228464 and 11442384?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151 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: What is the smallest value in -6.7, -0.5, -8, 24\/11, 3, 3\/2, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 260*u**2 + 457*u - 59. Differentiate y(t) with respect to t.\nAnswer: 520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**3 - 7980*b**2 - 4245360*b - 752843840 = 0.\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.8563 - -0.0063. Let v = 31 - 10. Let r = v + m. Round r to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1338 and -61\/139152?\nAnswer: 139152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1510384 + -2?\nAnswer: 1510382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1032565 divided by 206513.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5984*u*w**2 - 835*u + 10*w**3 - 204 with respect to w.\nAnswer: 11968*u*w + 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669258.\nAnswer: 2, 3, 37181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 10 = -z. Suppose 338 = 2*i - z*m - 17, -i + 161 = 3*m. Calculate the least common multiple of 6 and i.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k + 59. Let p be z(8). Solve 0 = 2*g - p*d - 2*d - 18, g = -d + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8424183 is divided by 247.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = -63 + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -803\nAnswer: -9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2 - 50*q + 330?\nAnswer: -2*q - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let u be (h\/1)\/((-4)\/2). Which is the closest to u? (a) 0.5 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 7*a**6\/10 - 11*a**3\/6 + 293*a**2\/2 + 524*a. What is the first derivative of c(y) wrt y?\nAnswer: 84*y**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 + b - 3. Let a be v(2). Let i(d) = 5*d**2 + 2*d - 3. Let h(n) = -4*n**2 - n + 3. Let u(c) = -6*h(c) - 5*i(c). Determine u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r*z**5 + 4*r*z**4 + r*z**3 - 20*r*z + z wrt z?\nAnswer: 20*r*z**3 + 48*r*z**2 + 6*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 1080 + 268 = 0. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 4*i + 4 - 7. Calculate t(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17069*l + 1 - 3*l**2 - 2*l**4 - 17069*l + 9*l**3 to k*l**2 + j*l**4 + f*l + u + p*l**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4 + 321*b**3 + 355344*b**2 + 73444096*b + 4628557824 = 0.\nAnswer: -176, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16709944?\nAnswer: 2, 487, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -4.94. Let m = -19\/35 + 3\/70. What is the second smallest value in -0.3, v, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 302 = d, 2*k - 5*d + 592 = 4*k. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Let u be ((-3)\/6*-10)\/z. Suppose -2*k + 228 + 8 = 4*m, 0 = u*m - k - 302. Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -13) + -61 + 39 - (0 + 113).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 16*h**2 + 35*h + 15. Let b be k(18). Let c be b\/6 - (-14)\/12. Let -c*n**2 - 2\/3*n + 0 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26\/3 - 9. Put t, 2, -4 in descending order.\nAnswer: 2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575196962?\nAnswer: 2, 29, 1031, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14887*t + 14923*t - 29809*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2 + 2 + 2*s + 0*s. Let u(d) = -d - 2. Let k = -29 + 24. Calculate k*u(z) - 3*h(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -702 - -14856. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 552*g + 18088 = 0. What is g?\nAnswer: 38, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 58 = -m, 5*x + 5*m - 115 = 0. Suppose -5*c + 2*b + x = 10, -3*b + 32 = 4*c. Solve 5*r + 2*a = -18, a + c = -3*r - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 - 4*o. Let i(v) = 10*v**3 + 9*v. Let x(k) = 4*i(k) + 7*n(k). What is the second derivative of x(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 5. Let y(l) = 11*l**2 - 5*l + 25. Let r(m) = 5*w(m) + y(m). Let g(d) = -6*d. Determine r(g(z)).\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3 + 4) + -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:51 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3525, 7467, 12217, 18177, 25749, 35335, 47337?\nAnswer: 62157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8904 = 1248*n + 36360 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 - 5*n + 6. Let p be y(6). Let l = 24468 - 24469. Which is the closest to -2? (a) p (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-252)\/(-27) - 10\/(-15). Suppose -x*t = t - 66. Calculate the remainder when 7 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 5*k = -12. Let p = 134366 - -2065634. Suppose -p = z - k*z. What is z rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)\/l*l*l*l\/(l\/l**(1\/3)))\/(l**(1\/3))**(-33))**(-14\/11) assuming l is positive.\nAnswer: l**(-182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**3 - 973*t**2 - 7937*t - 455721330 with respect to t.\nAnswer: -12*t**2 - 1946*t - 7937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38526 + 42064.6. What is m rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20970629 by -14.\nAnswer: 20970629\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/58029 and -50\/1357?\nAnswer: 3423711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*i + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 1 - (139 - 103 - (160 + 1))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34.943 + -5\nAnswer: 29.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1903 - 1891.32. What is the closest to -0.1 in -1\/5, f, 1\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/6 + 5*i - 2. Let o(h) = -38*h**2 - 2. Let q(b) = 76*b**2 + 3. Let j(w) = -5*o(w) - 3*q(w). What is n(j(f))?\nAnswer: 2888*f**4 - 152*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 116 - 18)*(4 - 3*w - 4)*(1 - 3 + 1).\nAnswer: 354*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/14)\/((837\/682)\/27).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 539764023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -903*j**4 + 2123*j**4 - 1036*j**4 + (-4 + 4 + 2)*(4*j - 4*j + j**4) + 5*j**4 - 3*j**4 + 0*j**4.\nAnswer: 188*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.071.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33, -48, -87, -162, -285, -468, -723?\n\"Answer: -2*c**3 - c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 27*o - 31*o - 73)*(o**2 - 3*o**2 + 4*o**2).\nAnswer: -8*o**3 - 156*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*v + 45 = -783*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(10\/7)*g\/g**(4\/7) assuming g is positive.\nAnswer: g**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.2 and 0.2.\nAnswer: 4.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1)*48\/(-9). Let a(f) = -2*f + 8. Let b(u) = -u - 8. Let s be b(-8). Let i be a(s). What is the highest common factor of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47355465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 137.3. Let w = 7.9 - q. Let r = 3 - 1. What is the closest to -1\/3 in 5, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 18*l + 48. Let z be (0 + 3)*(-66)\/90*-5. List the prime factors of n(z).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -17*m**3 - m**2 + m + 2. Let u = 12494 - 12495. Determine l(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 3. Let a(j) = -831*j + 1672*j - 821*j. Determine a(h(v)).\nAnswer: -100*v + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (27830\/550)\/((-22)\/10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4037228 and 6.\nAnswer: 12111684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -284.\nAnswer: -227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - j + (j + 2*j + 0*j)*(4 - 3 + 0))*(3*j**2 - 4 + 4).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 3, -4, -1, 63 in decreasing order.\nAnswer: 63, 7, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -2\/55 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -5 + (-15)\/(-3) + -6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -206578, -206579, -206580?\n\"Answer: -h - 206577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000101101 - 10100111010001?\nAnswer: -11000111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Suppose -k*g = g + 5*a + 3, 2*g - 11 = a. Suppose 0 = g*s - s - 63. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.4857 + 16.36. What is o rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 44*j - 193 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 3*y + 8 + 32, -5*y + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843 + 1318 = -25*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v**2 + 11*v**2 + 8*v**2)*(-1 - 1 + 1) + 2*v + v**2 - 2*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 - -15815722483?\nAnswer: 15815722355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*(-4 + 7\/(56\/36)). Calculate the highest common factor of 56 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207245 divided by -3?\nAnswer: 207245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 5*t**2 + 16*t + 60. Let q be w(-6). Solve 2*n + h - 8 = 0, q*h + 18 = 4*n + 3*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3137009\/50 + -62740. Let i = -134\/11 - -3394\/275. Calculate the common denominator of i and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 83*m**2 + 296*m - 1558. Let x be d(-79). What is the nearest to x in 184, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338 + -393 - 6*(-3)\/(-9)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 139. What is the greatest common divisor of 432 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803450 is divided by 2761.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 2 + 0 + 4 + 5 - 8 + (2 - 4 + 1)*(0 + 2 + 1))*(5 - 2 - 4)*(2*b + 5 - 5) to the form q + j*b and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 1 - 8*(-3)\/6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -5. Suppose -s + 13 = 4*o. Let p(m) be the second derivative of -m**4\/12 + m**2 - 5*m. Give p(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/3 - 2102*r**2 - 97750*r - 3384542\/3 = 0.\nAnswer: -23, 3199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36525809*i + 107396349?\nAnswer: -36525809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/((-1700)\/51))\/((-5)\/125 + 0).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 4 = 35*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -17*o - 56. Let n be i(-8). Suppose 0 = -17*k + 22*k + n. Let g(c) = 8*c**3 - 3*c**2. Let j(r) = -40*r**3 + 16*r**2. What is k*g(w) - 3*j(w)?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 14*b**2 - 4*b - 8. Give m(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b4c83 (base 15) to base 9.\nAnswer: 3837546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 - 30*d**3 - 35*d**2 + 30*d + 40 = 0?\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/105)\/(4*3\/(-30)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -149, -4, 2 in descending order.\nAnswer: 2, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and (-42)\/(-4) - (-7)\/(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9464, -75773, -255774, -606317, -1184252, -2046429, -3249698, -4850909?\n\"Answer: -9475*x**3 + 4*x**2 + 4*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:27 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 2*a - 1485. Is a a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.5114 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1831 divided by 5.\nAnswer: 1831\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 80*v + 74*v - 38*v - 6882 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2136 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 2*x - 8. Let y be s(4). Sort 0, 0.5, y in ascending order.\nAnswer: y, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) 0.058\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2 + t + 2 - 4 - 1. Let a be g(6). What are the prime factors of 11\/a*(-20)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6790 plus -19250748?\nAnswer: -19243958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7356 and 8292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sataaaxtassbbtdxas. Give prob of sequence tx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m + 14*m**3 + 3*m + 4*m + (-3 + 5 + 0)*(-3*m + 3*m + 2*m**3) - 2 - 2*m**3 + 2.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*r - 2*r. What is the lowest common multiple of 14 and (-58)\/r + (-9)\/18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgg when four letters picked without replacement from gxgxggxxxg.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10969*k**3*m**2*x - 40*k**3*x - k**3 - 3*k**2*m**2 - 5*k**2*x - 2*k*m*x - 2*k*x wrt m.\nAnswer: 21938*k**3*x - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z + v - 25, -37 = -3*z - 5*v. Suppose 6*y - 840 = y + z*b, -2*y + b = -333. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/6 - 17*i**2 - i + 46. Let a(z) = 150*z. Calculate j(a(c)).\nAnswer: -600*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*8.26.\nAnswer: 107.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16978, 33955, 50932, 67909, 84886, 101863?\n\"Answer: 16977*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -76\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Let h = 7471 - 7467. Solve -o*n - 10 = -b, 2*b + 10 = -h*n - 0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, 1.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*d**2*n + 3*d**2*o**6 - 653*d*n*o**2 + 7318*n*o**3 wrt o.\nAnswer: 360*d**2*o**3 + 43908*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-1*-6.\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 4 (c) -3\/52 (d) 2\/5 (e) 1\/9 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 12. Give h(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4209924920.\nAnswer: 2, 5, 105248123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167498874207 + 0.4755?\nAnswer: 167498874207.4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.9839 to 1 dp.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*b + 155 + 375, -b - 510 = -5*q. Calculate the remainder when q is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 35060815 = -4*s + 704660794, -4*o + 28 = 0. What is s rounded to the nearest one million?\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -7. Suppose -1 = -w, w + 0*w = -c - 1. Let o = c - s. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*x - 19, 2*n + 2 = -x - 0. Suppose -x = -2*q + 2. Factor -l**5 - l**q - l**4 + 2*l**4 + 4*l**3 - 2*l**3 - l**2.\nAnswer: -l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*n + n. Suppose h - 3 = n*q + 7, 0 = q - 3*h + 15. Let c(m) = 3*m - 4. Let z(g) = g - 1. Let y(j) = c(j) - 6*z(j). Give y(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*48\/(-96)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/14)\/(7300\/25550).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6537637, 6537615, 6537593, 6537571, 6537549, 6537527?\n\"Answer: -22*m + 6537659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 362*t**2 - 1 + 10 - 14 + (3*t - t - 4*t)*(2*t + 0*t - t) as l*t**2 + s*t + r and give l.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/((-15)\/9))\/(-1). Let o(l) = 13*l - 1. Does 19 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/9 - 4*z\/9 - 286\/9 = 0.\nAnswer: -11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 16275*c**4 + 100*c**3\/3 + 171*c**2. Let b be t(33). Round b to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7776145 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 38 + 8 = 0. Let h(x) = w*x + 11*x - 42*x. Let t(g) = g. What is h(t(l))?\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.2 + 0.8. Let y = a + -12.6. Sort y, 0, -0.2 in decreasing order.\nAnswer: y, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/90 and 49\/480?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 + 55*v - 25. What is the remainder when 574 is divided by s(7)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = -4*g + 3*w + 292, 2*g + 4*w = 318. Calculate the highest common divisor of g and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(3*(-2)\/12))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1392*w - 923 wrt w.\nAnswer: 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 249 = -4*m. Suppose 3*x + s + m = 6*s, x + 3*s + 23 = 0. Let u = x - -36. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7614, -12990, -18370, -23754?\nAnswer: -29142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1107)\/45 + 24)\/(2\/(-20))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**4\/8 + 2*m**2 + 2*m + 263. Let o(y) = 153*y. Give o(r(p)).\nAnswer: -459*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from zlcellllllaazzil?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1117 - -4122. List the prime factors of f.\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*x = 31, -3*g = -3*x - 157 + 166 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676867 is divided by 1033.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.01. Let s = -648.6 + 650.6. Let g = -5\/21 + 4\/7. Put m, g, s, -0.1 in decreasing order.\nAnswer: s, g, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/14 - 76\/(-280) and 115\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -29 + -7 + 17 + (5 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 0, 0*k + k + g = 0. Solve 5*q - 25 = k, q + q + 2 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24114 is divided by 455?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1272.6 to the nearest ten.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3\/4 - 4409*v**2\/2 - 38099*v\/4 + 41090 = 0.\nAnswer: -2935, -7, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 77, -1 in increasing order.\nAnswer: -2, -1, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110 (base 2) to base 16.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 7:27 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (246\/4)\/(6\/8). Suppose q = 3*z - 2*v + 6*v, 2*z - 58 = -v. Let o be 3*z\/9 + -1. Solve 3*a - 7 = -c, -5*a + 3*c + o = 4*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - 72 = -m, 2*v = 4*m - 288. Let f = 88 - m. Solve -b + f = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 16*b = -1725. Let o = b + -341. Solve -o*d - d + 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.1 (c) -9480 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2149 - 2100 = 7*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -3)*((-15)\/(-18) + -1). Let o = -0.2 + 0.25. Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 13 - 11 - -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 7*p**2 - 8*p - 10. Let r(h) = -5*h**3 + 36*h**2 + 41*h + 50. Let v(k) = 11*l(k) + 2*r(k). Is v(7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6636746+-782645\nAnswer: -7419391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.72 + -1.2. What is the third smallest value in -0.2, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 - (-52)\/40)\/(3\/6 - -3) and 39\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 581515 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-7)*y*y)))**24*(y*(y**(-1)\/y)\/y)**28 assuming y is positive.\nAnswer: y**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*t - 446*u = -443*u + 37, 2*u = -5*t - 0*u + 45 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/8 - 103*r**3\/8 + 2703*r**2\/8 - 2601*r\/8.\nAnswer: r*(r - 51)**2*(r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481812452 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbj when three letters picked without replacement from {m: 1, j: 10, z: 1, b: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 321.6 - 322.6. Which is the third biggest value? (a) 889 (b) x (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3972.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -6.5, -1\/77, -0.07, -32 in ascending order.\nAnswer: -32, -6.5, -0.07, -1\/77, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 8) to base 5\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 88. Solve -5*k - 4*p = i + 8, -3*k - 2*p - 7 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43296*y**3 + 30883*y wrt y?\nAnswer: -259776*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 22*s**2 + 1. Suppose 4*u + 5 = -u. Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 5*k**2 - 21*k + 21. Let x be i(-8). What is the units digit of 10 + x + (295 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-6)\/(-20))\/(57\/6650*-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2482 + -2482.5. Which is the closest to -2\/5? (a) -0.2 (b) 3 (c) -0.28 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -722*v**2 + 127*v - 14. Let o(u) = 1082*u**2 - 191*u + 22. Let k(d) = 8*n(d) + 5*o(d). What is the second derivative of k(y) wrt y?\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*j - 3670 = 612*j - 4206 - 4708 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 20 + 5 + 11)*(-2*j**4 - 3*j**4 + 4*j**4).\nAnswer: j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a. Let q(y) = 395*y**2. What is v(q(p))?\nAnswer: 1185*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + l**3 - l**3 - l**3 - l**2 as h*l + j*l**3 + u*l**2 + x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*l - 17, -5*l = -3*b - 2*l + 3. Solve 5*v - 25 = 0, b*v = 5*r + 6*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01027403202 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -33.9. Sort -4, h, -5 in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10495\/4 + 430689\/164. Let y = 9\/328 - h. What is the common denominator of y and -31\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-21)\/((-6)\/(-2)). Let s = -752 - -753. Calculate the lowest common multiple of s and ((-219)\/y)\/(-2 + 3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(6\/7)*i**8)\/(i**(-4\/5))**13 assuming i is positive.\nAnswer: i**(684\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226.0192 - 0.0192. Let f = k - 226.00101. What is f rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5336 - -5347. What is the third biggest value in 3, 63, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v + 12. Let m(p) = 60*p + 66. Let r(o) = 11*c(o) - 2*m(o). Let z(f) = -2 - 10*f + f + 3*f. What is r(z(q))?\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.02. Let q = -0.06 + l. Let p = -2954 + 2952. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4891 - -0.543. Let k = -0.047 + q. Round k to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/3 (b) 0.2 (c) -106\/3 (d) 96 (e) -3\/4 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 12*q - 3. Let h be k(4). Let f be (40\/(-35))\/(4\/42*h). Solve f*l - 5 = 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1130*n + 1128*n - 2*v - 8 = 0, 0 = 3*v + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m**(9\/2))**(-14\/11) assuming m is positive.\nAnswer: m**(287\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - c80987?\nAnswer: -c80985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99540656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Suppose -20 = -k*f - 0. Let s(c) = 1 - f - c + 1 - c. Determine s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t + 16. Let y be (-1)\/(140\/36 - t). Suppose -30 = 6*a - y*a. What is the smallest common multiple of a and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4984508 plus 5?\nAnswer: -4984503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7484\/(192\/(-16) + 14)?\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -12\/7, -0.4, 0, 3\/7, -2\/9?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 16. Let j(c) = -c**3 + 18*c**2 - 15*c - 28. Let x be j(s). Suppose -6 = -x*y - 6. Let v(z) = z**3 - z**2 - z + 8. Determine v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217540 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -9*j + 6*j + 6, 5 = -u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*a**2 + 0*a + 1\/2*a**3.\nAnswer: a**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577770211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155390 is divided by 77681.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (2\/(-2))\/1. Let m(c) = 6*c**2 - 29*c - 90. What is the remainder when m(-3) is divided by x\/(-10) - 94\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 45 = -17*w + 35, 0 = -5*w + 4*w for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-246987)\/(-107661)*170\/6?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 7*h - 8. Let m be c(-8). Suppose 4*x - 15 + 7 = 0. Let l be x + -1 + 29\/(-27). Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 28.5. Let v = 0.08 - -0.92. What is the closest to -1 in v, 1\/9, m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 + -14 + 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 18*f + 2. Let l be v(-18). Suppose 4*q + 2*w - 1138 = 0, -3*w + 55 = l*q - 524. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r. Let a(n) = 2*n - 10. Let z be a(4). Let h(b) = 2*b**2 + 5. Let i(g) = 1. Let v(p) = z*h(p) + 10*i(p). Calculate j(v(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 5*t**2 - 2*t - 2. Let z(x) be the first derivative of x**2\/2 - 9*x + 3. Let k be z(4). What is the units digit of p(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1217 + 76527299259\nAnswer: 76527300476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l - 13. Let x be z(0). Let d = 0 - x. Let k = 21 - d. Solve 5*f = -5*q + 33 - k, -5 = -f + 4*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-2))\/(272\/(1147840\/2743))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12485 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*s + 5*v, 12*v - 13*v + 5 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 73*n**5\/5 + 239*n - 212. What is the derivative of y(z) wrt z?\nAnswer: 292*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1027 + -1599?\nAnswer: -2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-1) - (-702812440)\/44. Round l to the nearest one hundred thousand.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4) - ((-162)\/18 + 11)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = -5*q + 48*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.3 (c) -100\/9 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 12*o**2 + 57*o + 21. Determine c(-4).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/2)\/((k\/k**4)\/k*k))\/(k**0*k)**24 assuming k is positive.\nAnswer: k**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*q - 2*q**3 + 790*q - 208*q - 179*q - 207*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -811, -813, -815, -817?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**4 - 1\/112*z**8 - 3\/20*z**6 + 0*z**3 + 0*z + 81*z**2 + 0 - 1\/14*z**7 + 1\/5*z**5. Factor c(q).\nAnswer: -3*q*(q - 1)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 4*y, -2 = 5*y - 4*l + 8. Suppose -4 = -y*x - 2*x. What is the greatest common divisor of 7 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(3*sqrt(20)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8490.706 days?\nAnswer: 733596998400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, i: 6, f: 1, z: 6}. Give prob of sequence ia.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2124*y**4 + 4*y**3 - 24302*y - 3 wrt y.\nAnswer: 25488*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9 + 4 - 3*k + 2 - 13 + 8. Give c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/277068 and 61\/234?\nAnswer: 10805652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 271038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0*s**3 + 67 + 22*s**2 + 2*s + 29\/4*s**4. What is the first derivative of q(b) wrt b?\nAnswer: 174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.013, 48, 1\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*j + 11*j - 4*j)*((4 - 2 + 0)*(3*j + 1 - 1) + j - 3*j + j + 0 + 0 - j).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252552 + 113?\nAnswer: 253105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 - -2. Suppose 4*n - 1 = -5*z, 4*z - 5*n + 8 = -24. Let l be (-1)\/2*48\/(-72). What is the smallest value in z, t, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 4\/5*k**2 + 2\/3*k**3 - 1\/10*k**4 + 70 - 8*k. Factor a(i).\nAnswer: -2*(i - 5)*(i - 2)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 42?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2771\/3*p**4 - 2561326\/3*p**3 - 1575216721\/3*p - 1\/3*p**5 + 791444810\/3*p**2 + 786330467\/3 = 0.\nAnswer: 1, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 divided by 4?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9737446 not equal to -9737426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 188?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283774 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 x, and 1 p when four letters picked without replacement from {p: 3, x: 9, i: 2, k: 1, q: 2}.\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -5, 1, -33, -1 in descending order.\nAnswer: 63, 1, -1, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14966287 - 759048.56033713. Let n = -759083.710001 - i. Let h = n - -35. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -38*v + 37835. Suppose 5*m = 5*p - 2020, 4*p - v = 2*p + m. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94838 - 45940. Is c a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, 66, 1, -5 in descending order.\nAnswer: 66, 1, -3\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1066 - 373. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31496324117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/2 - 60\/(-12). Which is the nearest to -0.3? (a) 2 (b) m (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Suppose -5*r + 46 = 3*k - 0*r, k - 3*r + 8 = 0. Let g(t) = 12*t - 3*t - 5*t - k*t. Calculate d(g(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*d - 4*d**3 + 18*d - d**2 + 1 - 4*d**4 + 3*d + 1 to the form a + t*d**2 + q*d**4 + i*d**3 + z*d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 1. Let k be x(-1). Let r = 4977\/17 + -293. Let i = 6\/119 - r. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82.15 or 5\/6?\nAnswer: 82.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -71483.88 rounded to the nearest ten?\nAnswer: -71480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + 31*y**2 - 43*y - 966. What is j(-8)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 6*y**3 + 10*y - 164 - 12*y + y**3 - 5*y**3 to the form h*y + v*y**3 + u + p*y**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1022*d - 792*d**2 - 1022*d)*(-2*d + 2*d + d)*(-3*d + 2*d + 0*d).\nAnswer: 792*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {o: 2, q: 4, v: 4, z: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 10 = -4*i + 2*i, -v + 4*i - 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*1\/(-21) + (-50)\/6600*-88\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4 - 10. What are the prime factors of (-87)\/(-3) - (-1 - j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and 17\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 273600 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -733*s + 10366. Calculate i(14).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.062 + -0.938. Which is bigger: 3\/2 or a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcxccxxcxxyaccx. What is prob of picking 2 x and 1 c?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjboondggdjdn. Give prob of sequence gdjd.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 356, 717, 1078, 1439, 1800?\n\"Answer: 361*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 406206*h**3 + 307407 wrt h.\nAnswer: 1218618*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = t + 38 - 44, -3*t + 4*y - 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**3 + 5*p**2 - p + 5. Let m(w) = w - 11. Let d be m(6). Let b(j) = j**3 - j**2 + j - 1. What is d*b(s) - t(s)?\nAnswer: 2*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2414466.\nAnswer: 2, 3, 31, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 46?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*l. Let w(j) = 11*j**3 - 4*j**2 + 3*j - 2. Is w(l) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -921*n + 40518. Calculate y(44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -49 - 123 + b + 116*b + 57 - 3*b**2 + 0*b. Give y(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158*0.4\nAnswer: 63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379.7012 kilometers to micrometers.\nAnswer: 379701200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + -3 + 0\/2. Suppose -y*l + 3*j - 9 = 4*j, -2 = -l + 4*j. Let k(w) = w**3 + w**2 + 2*w + 1. Let d be k(l). Is -6 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4226 and -7965766.\nAnswer: -7969992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*g**3 + 142*g**3 - 60*g**3 + 17*g + g.\nAnswer: -4*g**3 + 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3)*-5)**2 + sqrt(192)\/sqrt(4) + sqrt(18)\/((sqrt(18)*-1)\/sqrt(3)) + -3.\nAnswer: 3*sqrt(3) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v - 14*v + 2416*v**3 - 16*v + 6772*v**3.\nAnswer: 9188*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519779733.\nAnswer: 3, 11, 15750901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.2 + 11.3. Let n = -15 - y. Let z = 34 - 12. Which is the biggest value? (a) n (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.27 + 2.679. Let m = z - -0.051. Let p be ((-13)\/(-65))\/((-1)\/(-5)). Which is the biggest value? (a) m (b) -3\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/21 and -101\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-one halves of a gram?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -380*t**2 + 3*t - 1. Let x(a) = -379*a**2 + 4*a. What is 3*q(j) - 2*x(j)?\nAnswer: -382*j**2 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8025 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/441)\/((-10)\/90)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 0)*(-11)\/(-11). Let g be (-1)\/((-3)\/18) + f. Suppose 3*t = 12, -3*a + 4859984 = -t - g*t. Round a to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 352987, 353008, 353029, 353050?\n\"Answer: 21*q + 352966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(4)*-2))\/sqrt(7) - (sqrt(6)\/(sqrt(3) - sqrt(27)) - sqrt(128)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11995 + -11959. Let p = 40 - 16. What is the greatest common divisor of p and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3 - 4 + 5 + 2*c. Let v be i(3). Solve -5*d = -r + 7, v*d = 8*d + 2*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**8*k**(-8)*k**(-8)*k\/(k**(1\/6)*k*k)*k assuming k is positive.\nAnswer: k**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0214*-0.7.\nAnswer: 0.01498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 + 1366*f + 222343\/4.\nAnswer: (f + 41)*(f + 5423)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -7)\/10 - 55\/(-2). Let g be (-77)\/x*-2 + -6. Which is the closest to g? (a) -3 (b) 0.5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccxcccxcxcc. What is prob of sequence cccx?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 44036, -0.5, 2\/5 in decreasing order.\nAnswer: 44036, 9, 2, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11 - 11)*(6*l + 12*l - 8*l) + 2*l - 3*l - 4*l.\nAnswer: -155*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88.1 + 85.1. What is the third biggest value in 3, 2\/13, f, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 - 5*r + 1. Let d(p) = -p - 3. Let s be d(-13). Suppose -3*v + 6 = 0, 4*t - v = 4*v + s. Determine b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c + 378714 - 31692. Suppose -5*x + 6*r - r = 40550, -24306 = 3*x + 3*r. Let h = x + c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, -6, -2, -10, 9, -30, 3 in decreasing order.\nAnswer: 9, 3, -2, -6, -10, -30, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 1) + 4 - (304 - 223).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4177097\/6 - -692277. Let h be 46\/(-4)*1*338. Let a = w - h. What is the common denominator of 61\/10 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24 - ((7 + -14 - -4) + 2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 47. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1106.\nAnswer: -5\/1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/11 in -1, -0.6, -1820, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3724\/(-190)*920\/322?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03008 to three decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/13 + 18*p**3\/13 + 28*p**2\/13 - 72*p\/13 - 144\/13 = 0 for p.\nAnswer: -6, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -89c (base 16) in base 15?\nAnswer: -9be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 + c**2 - c + 1. Let o(r) = -158*r**3 - 2*r**2 + 75*r - 2. Let h(l) = -o(l) - 2*v(l). What is the second derivative of h(s) wrt s?\nAnswer: 924*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 345420 and 125442.\nAnswer: 23833980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83664837 - 0.03.\nAnswer: 83664836.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 9, -5322 in decreasing order.\nAnswer: 9, -53, -5322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80\/11? (a) 2\/9 (b) -240 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + -5 + -1 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 18, i: 2}. What is prob of sequence fi?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1743118 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757 (base 10) to base 2.\nAnswer: 1011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15864 and 5070?\nAnswer: 13405080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55086*m*r*s + 4*m*s - m - 2*r*s + 14108716*r wrt s?\nAnswer: 55086*m*r + 4*m - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/(-141)*6*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.099 rounded to one dp?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40 - 0)*560\/(-630). Is -37 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -818549868 divided by -8124.\nAnswer: 100757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = -3*d. Suppose -d*t - 2*j + 154 = 0, -t + 6*t = -4*j + 148. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/146, 2, -5, -1, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, -1\/146, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30854, 123667, 278356, 494921, 773362, 1113679, 1515872?\n\"Answer: 30938*a**2 - a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2) + (15 - 1). Let k be (3 + -4*4)*-2. Suppose -g - 4*f = -k, g - l = -2*f + 7. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940 = -3*j + 428. Suppose -4991 + j = -5*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 2. Let s = 12 + -8. Suppose r - 4 = -5*m, 0*r - s*m = r - 2. Let h be n(r). Solve -3*g = -3*u, -2*g + 2*u + 2*u = h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3\/3 - 4964*h**2\/3 + 132874*h\/3 - 746320\/3 = 0.\nAnswer: 8, 19, 2455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-3)\/(-3)) - ((-600)\/(-35))\/(-8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 - -3*4\/(-12). Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 42*v + 18. Let b(t) = 3*t**2 + 43*t - 20. Let u(p) = -4*b(p) - 5*n(p). Is u(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 123*b + 37. Let w(c) = -c**2. Give f(w(m)).\nAnswer: -123*m**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 36565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(36 + -3)*2. Which is the closest to -1? (a) v (b) 2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.980627 - -12?\nAnswer: 7.019373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Suppose -5*w - 8 - 3 = j, -h*w = 2*j + 7. Suppose 2*m + 24 = j*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(-4)*t))\/t**(1\/4)*(t**0)**(-14\/5) assuming t is positive.\nAnswer: t**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -76, -159, -274, -421, -600?\n\"Answer: -16*s**2 - 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.033 and 0.03?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 2*(9 - 7) + 5. Solve v = -3*n + y + 14, 5*y - 5 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 208. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 - y + 3. Let j be r(-4). Suppose -n + 3 = -4*w + j, -3*w = -3*n - 15. What is the least common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3211 and 1482?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1602, 6, -154 in increasing order.\nAnswer: -154, -4, 2, 6, 1602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -35\/4. Let m(u) = -u - 11. Let s be m(-6). Let h(o) = -o**3 - 6*o**2 - 7*o - 5. Let f be h(s). What is the biggest value in c, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5\/13, -24978, -5 in decreasing order.\nAnswer: -0.1, -5\/13, -5, -24978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128904102?\nAnswer: 2, 3, 61, 39133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {f: 5, d: 8, s: 2, i: 1, n: 2}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose 17 = -4*k + v. Sort 0.2, -4, k in ascending order.\nAnswer: -4, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c + 2. What is the remainder when w(-3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -933*t**3 + 25*t + 921*t**3 - 23*t - 15 + 3*t**2 in the form r*t**2 + g*t**3 + o + v*t and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -176382*y**2 + 10 - 6*y + 176360*y**2 - 16 in the form n + w*y**2 + v*y and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 14. Let z be k(-9). Solve 0 = z*n - 8 + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*1)\/(-3*1*sqrt(9)))**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-16052))\/(29 + -21 + -5). Is 0 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198685705*t**4 - 74042665*t**2?\nAnswer: -4768456920*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11232988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:44 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -3)*(5 - 2). Suppose 2*i + t = 13. Let x be ((9\/(-27))\/1)\/(1\/3). Sort x, 2, i in ascending order.\nAnswer: x, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -286 - 14*k + 563 - 283 as o + a*k and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 2*x + 251. Is a(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q + 2. Suppose 0 = 3*d + 6, -d - 14 = 6*t - 3*t. Let i be p(t). Let s = i + 29. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-532)\/(-399)*(-24)\/(-20).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*u + 21 = 0, -6*u + 5*u - 5 = 0. What is the smallest common multiple of ((-2)\/5)\/((-1)\/10) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -26. Let z be ((-2)\/6)\/(u\/81). Suppose -3*b + 118 = -5*d, 2*d + 20 = z*b - 110. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 1792, 3117, 4388?\nAnswer: 5605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050783?\nAnswer: 3, 227, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**4\/6 + 29*z**3\/6 + 7*z**2 + 2. What is the lowest common multiple of w(-2) and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42264344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5888 is divided by 1470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(243) + 1 + sqrt(243) + -5 - (sqrt(21)\/(sqrt(112) - sqrt(7)) - -1*(sqrt(12)\/sqrt(4))**2).\nAnswer: -6 + 53*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20877 and 0.3?\nAnswer: 6263.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k + 37*k + 13*k as j*k + z and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.3? (a) 12 (b) 8\/7 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 180, 326, 560, 912, 1412?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -1, 2 in ascending order.\nAnswer: -42, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 294180, 588391, 882602, 1176813, 1471024, 1765235?\n\"Answer: 294211*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 80\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 331824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 161478123*l - 161478135*l + 322956258*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -6*d + 86 + 23. What is the remainder when d is divided by 1 - (-22)\/4*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880)*1*1*-3 + 1 + 4)*-1)**2 + -5.\nAnswer: -720*sqrt(5) + 25940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**(2\/23)\/(q\/q**(-3\/16)*q\/q**(3\/4)*q) assuming q is positive.\nAnswer: q**(-769\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 7:28 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -382*g + 380*g. Solve -g*d + 27*d - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:44 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -45*w**2. Let i(g) = 13*g. What is i(b(k))?\nAnswer: -585*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2431 (base 5) to base 6.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/18 and 14\/(-12)*(-2)\/840*-5.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58323 (base 11) to base 3.\nAnswer: 11021120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {d: 4, x: 16}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 400353*m**2 - 13357077225*m - 13356676875.\nAnswer: -3*(m + 1)*(m + 66725)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 8 - 12*a - 3*a**2 + 1 + 1 + 11 as d + n*a**2 + t*a and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/3, 16469, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 621797, -33.\nAnswer: -33, 5, 621797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 21098*i\/3 + 600185.\nAnswer: -(i - 85)*(i + 21183)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 21. Let u be j(0). Suppose 2*o + 5*c + u = 0, -3*c = -2*o + 15 + 4. Let l = 45 - 18. Solve -3*x - 3*s = 24, -o*x - 3*s - l = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/20 - k**4\/6 + 2*k**3\/3 + 6*k. Let t be j(-3). Is t less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/21 + 13808*f\/21 - 51194.\nAnswer: 2*(f - 77)*(f + 6981)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*(z**(3\/2)\/z)\/z)\/(z**6\/z**(4\/9)) assuming z is positive.\nAnswer: z**(-73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*2 - sqrt(1053))**2 + sqrt(13) + 5 - (-1 + sqrt(26)\/sqrt(2)*-3))*5.\nAnswer: 20*sqrt(13) + 5295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/(56\/(-84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.3 + -16.3. What is the fourth biggest value in -0.2, h, 0.5, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 11248740?\nAnswer: 11248740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 4. What are the prime factors of h(9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -224311?\nAnswer: 224316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2\/8 + 25*c\/2 - 99\/8 = 0.\nAnswer: 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5473 or -5474?\nAnswer: -5474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvdlylvyvvtytlvclvv. Give prob of sequence tv.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61999876*l**3 + 28645612*l**2 - 28868340*l + 4485924.\nAnswer: 4*(l + 1)*(3937*l - 1059)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 + 195 - 256 - 4360*v to m*v + w and give m.\nAnswer: -4360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 811710 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-4)\/(-2)*-17*(-10)\/340\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 33. Let g be ((-1755)\/n)\/((-6)\/(-128)). What is g rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 2*n**2 - 4*n. Let j be c(-3). Suppose b + 3*l - 9 = -4*b, 0 = -5*b + l - j. Differentiate -3 + 0*z + b*z + 3*z**4 + 2 with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2480 - 2480 - 1097*c - 2*c**3 + c**2 - c**2 + 2*c**3 - 3*c**3 + 5*c**3 - 3*c**3 + (c**2 - 3*c**2 + 4*c**2)*(-c + c + 2*c) - 2*c**3 - 3 + 3.\nAnswer: c**3 - 1097*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.4, -2, -0.57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 25600608.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + w = -16, -2*w + 3*w = -a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 346486910 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((5 + 0)\/(70\/28)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 5*j**2 + j + 7. Give n(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 663107602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.091 and -10.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 3) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**4 + 19*o**3 - 233*o**2 + 29*o + 180 = 0.\nAnswer: -9, -4\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjxjxvxngj. What is prob of picking 1 g and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 902487251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 493.25695\nAnswer: 197.30278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x - 10. Let g(u) = u + 2. Let p(n) = -d(n) - 5*g(n). Let s(y) = -8*y - 1. What is p(s(q))?\nAnswer: -16*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t*t*t**(-37)*t)\/t)\/(t*t*t\/(((t\/(t\/t**(-1\/5)))\/t)\/t*t*t)))\/(t**(5\/8)\/t**(22\/7)))**(1\/86) assuming t is positive.\nAnswer: t**(-9431\/24080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (0 - (-3)\/(-3)). What is the second derivative of -36*c**5 + 37*c**5 + 7*c - m*c wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259811266*u**2 + 205311419*u wrt u?\nAnswer: 519622532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78749261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*l**3 + 107 - 33 - 33 - 42.\nAnswer: 497*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 1 - (-11 + 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12946 or 12902?\nAnswer: 12902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -24, 2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5))\/(5\/75). Let u = 15 + -6. Let g = i + u. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 9*k**2 + 9*k - 10. Let r be x(8). Let b = 27 + -22. Put b, -5, r in decreasing order.\nAnswer: b, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 342, 26, -3, -6, -5 in descending order.\nAnswer: 342, 26, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.04 + -0.04. What is the closest to q in -1\/8, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(5))**2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 e when three letters picked without replacement from {v: 5, e: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23653 and 19313.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7. What is the tens digit of ((-76)\/a)\/(-9 + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-31)\/j**(-7) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 10*t + 25.\nAnswer: (t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -111730 to the nearest one thousand.\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -948653000 to the nearest 1000000.\nAnswer: -949000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001 + -11111100?\nAnswer: -110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*-730)\/(-5))\/(1172\/(-586)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -47, -24, 7, 46?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573 + 1125 = -3*z. Let d be ((-3)\/(-12))\/(194\/z). Let j = -2\/97 + d. Which is the second biggest value? (a) 2\/13 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 4, o: 2, u: 6, b: 3, r: 1, p: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cca9 (base 16) to base 8.\nAnswer: -146251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.17 + 1.87. Let m = -174 - -169. Which is the biggest value? (a) m (b) -32 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 13 = 15. Solve 0 = l*f - 7*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g**2 + 155*g - 12. Let m(w) = -5*w**2 + 155*w - 9. Determine -4*m(u) + 3*o(u).\nAnswer: -u**2 - 155*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/274518*-38 - 0. Let d = -1\/303 + i. Are -1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 2. Let z be -8 + 5 + 1*3 - -8. Calculate the lowest common multiple of o(z) and 97\/9 + 8\/36.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 56 + 148. Let w be 5*(3 - c\/(-20)). What are the prime factors of w*-1*(-8)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 3, c: 1, t: 1, h: 1, i: 2}. What is prob of sequence ctj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 1467.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42e + 2?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*c + 3*c**2 - c**3 - 1 - 1 - 37*c + 0 to v + l*c**3 + y*c + g*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9494491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-12)*(39 + -39). What is the third smallest value in -2\/25, -2\/23, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 2*i - 2. Let t be s(1). Let y be 3\/t + 38 - 2. Calculate the greatest common divisor of 22 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10339107 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 541167 = -4*f, -2*x = 5*f - 654243 - 22232. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*i**2*p**2 + 3*i**2*p - 3*i*p**2 - p**2 + 319 wrt i?\nAnswer: -26*i*p**2 + 6*i*p - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*i + 2 = 0, 2 = 3*d - 0*i + i. Suppose 4*x - 2 = -p, -d*x + 32 = 3*p - 3*x. Solve -3*t = 2*t - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + y + 14 = 21*s, 3*y + 2 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-6)\/(f*f**(12\/5)*f))**(-4\/23))**43)**25 assuming f is positive.\nAnswer: f**(44720\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10816\/106 - (416\/(-78) + 305*(-448)\/(-25440)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2124 - 2120. What is the nearest to o in 4, 0.3, -61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.709293kg to micrograms.\nAnswer: 5709293000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1034, -1957, -2762, -3443, -3994, -4409?\nAnswer: -4682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 465167*q - 6512336. Give i(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -38*f + 338. Determine c(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473300 is divided by 2886?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 28. Let z = v - 8. What is the derivative of 0*g**4 + 4*g**4 + 6 - z wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*t - 4 = 0, -66*t + 60*t - 2 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2207288 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2*(-21)\/(-28))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 94*p + 29. Let r be (3 + (-159)\/15)\/(2\/10). Is v(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/13 + -4. Let l = 1 + -0.8. Which is the closest to -4? (a) 0.5 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 15*q - 15 = 0. Let p(j) = 4*j**3 - 5 - 4*j**3 - j - j + j**q + 4*j**2. Let n be p(-4). Solve w - n*w = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-54))\/((-4)\/(-6)). Put k, -2\/13, 2 in decreasing order.\nAnswer: 2, k, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54830 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*j - 1976. Is j <= 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 21 = 2*i, 2 - 5 = 3*g + 4*i. What is the common denominator of ((-131)\/5)\/(-18*g\/(-15)) and 131\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.2815l to millilitres.\nAnswer: 93281.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1844640 and 1778760?\nAnswer: 49805280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 2009318400.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {s: 1, l: 4, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxpxxppppppxxpxxp?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 175313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6063896\/7 or 866271?\nAnswer: 6063896\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.6 - 20. Let w = 0.6 - z. Which is the closest to 1? (a) w (b) -2\/23 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than or equal to 0.1543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(91) + (sqrt(91)*-1*5 - sqrt(91)))*-5*-4)\/(sqrt(21)\/sqrt(27) - (sqrt(175)*-6 + sqrt(7))).\nAnswer: -225*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0 - o**3 - o + 1 + 0 - o**2. Let m = 860 - 854. Let c(x) = -8*x**3 - 6*x**2 - 5*x + 6. Determine m*p(f) - c(f).\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 961627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o + 25. Suppose -7 = -c + t - 1, -c + o*t = -26. Suppose 0 = -2*i - 2*u + 34, -i + 4*u = c - 3. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1)*d)**5\/(d**(-1\/2)\/d)**(-3) assuming d is positive.\nAnswer: d**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 15*h - 167. Let r be y(23). Calculate the greatest common factor of r and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = -t, 5*z + 14 = 7*z + 4*t. Suppose -h + 5 = -u + 1, -2*h = u + z. Solve n - 3 - h = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*1) + ((sqrt(3) + 0 + sqrt(3))*-3)**2.\nAnswer: sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4980440 divided by 712\nAnswer: -6995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.045, 0.2, 33.7?\nAnswer: 33.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7712?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 121. What is the second derivative of 5068*a**h + 5076*a**4 + 48*a**5 + 7 + 6*a - 10145*a**4 wrt a?\nAnswer: 960*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -797 and 22070.\nAnswer: 21273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92173.\nAnswer: 92173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/3 + 135100580*z\/3 + 912608335816820\/3.\nAnswer: 5*(z + 13510058)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 - -106. Suppose -4*i = i - 20. Suppose 2*b - 7 = 3*y, -i*b + 0*y = y - 7. Solve -g - h = -b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*k = 2*o - 6, -o + 2*k + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 41 - 21 = 0. What is the second derivative of -3*j + 63 - f*j**3 + 0*j - 34 - 31 wrt j?\nAnswer: -186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*g - 40*g. Suppose a + g*a - 31 = 0. Calculate the smallest common multiple of 3 and a.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/15 - 22\/(-55).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 2\/15, 3\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -10. Let b(r) = c + 2 + 5*r + 19*r**3 - 2*r**2 - 20*r**3. Let w be b(-3). Let g(o) = 2*o + 3. Calculate g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1567.0857 less than -0.22?\nAnswer: 1566.8657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*k + 69*k - 195*k + 23*k**2 wrt k.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/78045 and -157\/114172740.\nAnswer: 1255900140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198323693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 - 2*k - 13. Let s be x(5). Suppose 127 = s*a + 429. Let m = a - -293\/2. Is -6 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36242823 - -132.\nAnswer: 36242955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -0.35, -5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -3, 89, 2, 4 in increasing order.\nAnswer: -3, 2, 4, 35, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 149443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**2 + 8*i**2 - 24*i**2 + 779 + 17*i**2 + 2240*i**3 wrt i.\nAnswer: 6720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -559, -2\/27, 85?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4709 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -0.1042.\nAnswer: 0.5958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 2. Let h be r(-5). Let w be (32\/12)\/2*h. Suppose 0 = -w*k + 8, -k - 1255 = -4*n + n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17*k - 13*k**2 - 20*k + 9*k**2 + 23 + 5*k**2. What is the remainder when b(13) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 31. Let a(p) = 109*p + 2*p**2 - m*p. Let j(q) be the first derivative of 23*q**2\/2 + 77. Give j(a(r)).\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(92\/207)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -6099169.\nAnswer: 76\/6099169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7924 + 11635. Is 43 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -5\/4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 4*j - 4. Let n(h) = 56*h**2 - 77*h - 77. Let x(b) = -77*f(b) + 4*n(b). Let r(v) be the first derivative of 2*v**3\/3 - 1. Give x(r(t)).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 16. Let h(t) = t**2 - 14*t + 5. Let p be h(13). Let d be q(p). Solve 10 = -d*v - 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 30*j + 8. Determine q(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858550 and 1784?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -677?\nAnswer: -67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 26. Let j be h(-9). Let n(i) = -i**3 - 55*i**2 - 66*i + 6. Let m(z) = -2*z**3 - 165*z**2 - 197*z + 17. Let d(f) = j*n(f) - 6*m(f). Factor d(t).\nAnswer: -5*t*(t - 12)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:54 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41655 and 1346845.\nAnswer: 4040535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 5, t: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 - (-5 - -1). Let a(l) = 1 + 2*l**2 + l + 5*l**m + l**2 - 9*l**2. Let h(t) = 8*t**2 - 6*t - 4. Calculate 6*a(z) + h(z).\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {z: 1, i: 6, p: 5}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -5570, -11166, -16762?\nAnswer: -22358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11043?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*r - 37096, -f + 3*r + 5548 = -1894. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47818156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*x + 72 = 113*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 41*c + 128. Calculate the lowest common multiple of w(-3) and 1 + -1 + (0 - -2)*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48958.4 * 0.1.\nAnswer: -4895.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826 and 52781554?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 221\/3. Sort 0.2, -1\/5, x.\nAnswer: x, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*13\/(130\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 168*m**2 - 77*m + 77. Let x(h) = -13*h**2 + 6*h - 6. Suppose -38*a - 50*a + 277 - 805 = 0. Determine a*p(w) - 77*x(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + -0.1. Let g = 0.032 + -138.032. Let q = -136 - g. Which is the nearest to 3\/10? (a) w (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00637616728 to five decimal places.\nAnswer: 0.00638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0 - 520\/273)*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 2 - 2. Let y(h) = h + 1. Let s(v) = -3. Let q = -6 + 3. Let d(c) = q*y(c) - s(c). Determine d(k(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**3\/2 + 64*s. Let o(p) = 5*p**2. Determine o(d(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 15*m = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/n**(2\/11)*n*n)\/n)\/(n*n**(-1\/6)*n))**(7\/10))**(-29) assuming n is positive.\nAnswer: n**(-2639\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -2 - 6) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588 times -3852?\nAnswer: -6116976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/44 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*5 + -1 - (8 + -8). Calculate the smallest common multiple of 75 and ((-1)\/3)\/((-3)\/o).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31311625?\nAnswer: 5, 23, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 804 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k - 8. Let y be o(-10). Suppose 0*h + 2*h = -4*x + 10, 2*x + y*h - 10 = 0. Is x greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 + 3. Let l(s) = 19*s**2 + 3*s - 8. Let o(z) = -3*l(z) - 8*n(z). Determine o(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94\/5 + 19. Suppose -j - 3 + 4 = 0. Let o = -38731 - -271114\/7. What is the closest to j in o, t, 51?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*l - 31. Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/2))**27\/(z\/(z*z*z**7\/z)*z\/z**19) assuming z is positive.\nAnswer: z**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/(g\/g**6))\/(((g**(-3\/20)*g)\/g*g)\/g**(-12)) assuming g is positive.\nAnswer: g**(-1453\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.39 + -3.39. Let m = 3.072 - 0.072. What is the third biggest value in m, -4, 1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**3 - 52*j**2 - 12*j - 38. Determine u(13).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351944 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*z = -2*m - 16, 0 = -5*m + 5*z + 20. What is the least common multiple of m and (10 + -3)*6\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/6068 - -23894\/7585. Calculate the common denominator of 131\/1122 and v.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z - 10*z - 5*z in the form t + h*z and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - i)*(3*i**2 + i**2 - 2*i**2) + 4 + i**3 - 4 + 38 + 10*i**3 - 38 + (0 + 0 - 2*i)*(-3*i**2 - 2*i**2 + 2*i**2).\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 61. Factor 6\/7*z**3 + 2\/7 + o*z**2 + 10\/7*z.\nAnswer: 2*(z + 1)**2*(3*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/3014 and 49\/162.\nAnswer: 244134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/16)\/((-1)\/4). Suppose 4*p - s = 23, 2*s + o = 2*p + 3*s. Let n be -2 - (-10 - (-3)\/2*2). Is n smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 4:53 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11668984.\nAnswer: 2, 1458623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*r**(-4)*r)\/r)\/r))**(5\/9))**(-26) assuming r is positive.\nAnswer: r**(-650\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2. Suppose 41*t = 46*t. Let p(q) be the third derivative of q**2 + t + 0*q + 0*q**3 - 1\/6*q**4. Calculate p(w(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**5 - 1125765*g**4 - 562880*g**3 = 0.\nAnswer: -112576, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(30) + sqrt(30)*-2 + sqrt(30)) - sqrt(30))\/((sqrt(1000) - sqrt(1000)*-1) + sqrt(10)).\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1756 + 11*n + 4*n**5 + 16*n - 12*n**4 - 8*n**2 + 9*n - 40*n**3 + 1776 = 0. Calculate n.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 619*o**3 - 6*o**2 + 5*o - 3. Let r(w) = -619*w**3 + 7*w**2 - 6*w + 4. Determine -7*p(v) - 6*r(v).\nAnswer: -619*v**3 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 439221 and 1059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -212.331 to zero decimal places.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**3 + 18896*b**2 - 22704*b.\nAnswer: 4*b*(b + 946)*(5*b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m - q + 5, -3*m + 10 = 2*q. Let k(v) = v**2 - v + 14. Let b be k(m). Suppose -b + 58 = 4*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/84*((-273)\/18)\/(-13)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060244 is divided by 110?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2\/4 + 1335*m\/4 + 333 = 0. Calculate m.\nAnswer: -444, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 8, w: 4}. Give prob of sequence wwha.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -950 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11560162 (base 7) to base 9.\nAnswer: -1854211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10122 (base 6) to base 14\nAnswer: -6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 21 + 9. Let v = w - -25. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-15)*-2*(-2)\/(-4). Let b = -2.1 - -2. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9973.249 + 9974.3773146. Let b = 1.128 - m. Round b to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 141 = 7. Suppose 8 = 3*z + 3*v - p, 2*z = -v + 49. Solve 0 = 5*h - w - 2*w - z, 4*h - 21 = 3*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 3, -50, -155, -330, -593?\n\"Answer: -3*l**3 + l**2 - l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -3, -169\/5, 0.4, 4\/7, -5?\nAnswer: -169\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-16)*4\/10. Let a = -53\/170 + -3\/34. What is the nearest to a in l, -3, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 19*n - 4 - 446*n**2 + 445*n**2 + 3 + 16*n.\nAnswer: -n**2 - 10*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-540)\/(-8))\/(-1)*(-8)\/3. Let q = 182 - v. Suppose -1\/2*u**q + 1\/2*u + 1 = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 79. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = 0, 3*l + 3*o = -0*o. Suppose -3732 = 4*w + 3*u, -u - 3716 = 4*w - l*u. Round w to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2588*o**2 + 2*o + 6. Let l = 147 + -149. Let m be v(l). What is m rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1041b (base 12) to base 4.\nAnswer: 11031113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 6*v**2 - 3*v**2. Let p(r) be the third derivative of r**4\/24 + 2*r**2. What is p(m(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 83*g**2 - 8*g + 48. Let b be c(-10). Calculate the remainder when 1\/(-5) + b\/215 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**4\/2 + i**2 + 14. Let g(r) be the second derivative of -r**5\/10 - r**3\/6 + 42*r. Calculate -4*g(m) - 3*z(m).\nAnswer: 2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 39. Let y be h(-22). Let t be 4*(y - ((-51)\/4 + 4)). Solve 5*b - 4*r = -5*r - 7, -t = -5*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 32\/(-10)*(-40)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 85, 1\/8, 661, -3, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97963.21 years?\nAnswer: 979.6321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdqqnqdnq. What is prob of picking 2 d and 1 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -101. Let g(h) = -h**2 - 15*h + 4. Calculate the remainder when s is divided by g(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1194*j**3 - 57*j**2 - 2*j - 542421?\nAnswer: 3582*j**2 - 114*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let m(j) = 2*j. Give -2*m(l) - 3*v(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(3 - 0 - 8\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from xmyxmagyaggagxf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 38*t**2 - 364*t - 33. Determine l(-20).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4\/7, -2\/3, 0.078, 1\/4 in ascending order.\nAnswer: -2\/3, -4\/7, 0.078, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1980 - -1977. Which is the closest to -0.1? (a) 6 (b) -9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pppnnppppppppppppp?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*m - 333 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/629 in -0.4, -1\/16, 6?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1135*a*u**2*w**3*z - 2*a*u**2*w**2*z - 4*a*u**2*z + 4*a*u**2 - 2*a*w**3*z - a*w**2*z - 3*u**2*w*z wrt w.\nAnswer: -6810*a*u**2*z - 12*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2320019*r + 19. Let x be f(1). Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.72235l in millilitres?\nAnswer: 97722.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 179642411?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/52)\/((-10)\/(-120)*20).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssfs when four letters picked without replacement from sfsssfsssfssfsfsfsf.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 2*w - 405 = -11*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 920 and 23.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 2*n + 3, -5*n = -25. Let h(x) = 2*x + 2. Let c be h(d). Suppose -c = -3*t - 0*t. Solve t*j - 6 = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/12*153*171\/26163?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/21 - 2*h**2\/21 + 4*h\/7 = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t + 132. Let v = t + -38. Suppose -v*k = -10*k + 120. Calculate the greatest common divisor of 12 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837914 is divided by 255?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 519 or 517?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -i - 4*m, -264*m - 12 = 3*i - 267*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - i = 32, 10*i - 14*i = -16. Solve -2*r = 7*r - l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13) + -2)*-1 + -2.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogi when three letters picked without replacement from ooooiogoggooooo?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*w + 12 = 0, -7*w + 1394 = 3*b + 1414 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 7)*6\/12. Let z(f) = f**2 - f + 2. Determine z(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65506722*a**2 - 4157*a - 15010 wrt a?\nAnswer: 131013444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 10. Let j be g(-5). Let l = j - -18. What is the biggest value in 1, -1\/5, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:49 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(-44)\/(a**(5\/2)*a*a*a**18))**(-23) assuming a is positive.\nAnswer: a**(-3013\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/((4854\/1618)\/(3*(-2)\/(-22))).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*m**3 + 88*m**3 - 145*m**3 - 2*m**2 + (-2*m - 2*m + 2*m)*(-2*m**2 + 2*m**2 + m**2) to the form a*m + t*m**2 + g + r*m**3 and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - 36. Let z = 15 - a. Suppose z*v - 9 = -0*v, 4*v = -i + 30. Calculate the highest common divisor of 126 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 12)*(2116\/414)\/(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22269 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*d**4 + 2*d**5 + 21*d - 13*d**5 + 198*d**4 wrt d?\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191290907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1780600 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - 5*b**2 - 3*b + 3. Let r be w(5). Suppose r = 5*g + 33. Suppose 6*n - g = 3*n. What is the greatest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -1.2. Let g = q + 1.3. Let z = -2351\/9 + 261. What is the nearest to -0.1 in z, 3\/4, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -0.19, 1\/5, 1?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/20)\/3*((-28)\/7)\/(-4). Which is the fifth smallest value? (a) 4 (b) 1\/7 (c) r (d) -2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/27921 and -56\/8853.\nAnswer: 362973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 55 = 3*s, -31 - 27 = 2*s - 2*t. Let c = s - -29. Let b be (1\/3)\/1 + (-672)\/(-144). Solve 0*g - 4*g - c*i = 12, -2*g - b*i = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 12879?\nAnswer: 321975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 1255 + 3101. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**3 + 32*d**3 - 6*d**3 + 4 - 4 - 2*d**3 + d**3 - 3*d**3 + 0*d**3 + d - d - d**3 + (4*d**2 - 3*d**2 - 3*d**2)*(d - d + 2*d) - d + d + d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2 - j**2 + 0*j**2 + j**3 + 4 + 2. Let p be l(0). Suppose 4*k = -3*i + 55, -p*i - 10 = 2. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 26*x + 3. Let q be s(12). Let g be (-4)\/10 + 36\/q. Sort -1, 3\/2, g in descending order.\nAnswer: 3\/2, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499 a factor of 69584655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.32 to zero dps.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -550+-18762639\nAnswer: -18763189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(126\/4)*5\/(-10). Which is the closest to -2? (a) 0 (b) w (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/238 and -31\/278207818.\nAnswer: 4729532906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1628\/4070)\/((-2)\/(-165)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4375 - -30675\/7. Calculate the common denominator of -17\/8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 13, b: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/12 - 2*b**3\/3 - 2*b**2 + 4*b - 2. Let n(p) be the first derivative of k(p). What is o in n(o) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 6 = 3*m, 0 = 815*m - 819*m + 5*l - 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p - p**2 + 3*p + 23 - 23 - p**3 to the form b + y*p**2 + t*p + h*p**3 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Find x, given that x**2 + 8*x**r - x + x + 3*x**3 - 12 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 7*k**5\/10 + 2*k**3\/3 + 2*k**2 + 567*k. Let i(h) = h**3 + h + 1. Give 4*i(s) - z(s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 11223?\nAnswer: 11223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -5*v**7\/7 - v**3 - 7. What is the third derivative of z(g) wrt g?\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 101. Let r = 73 + c. Solve 2*n + 2*l = -8, -3*l - r = -5*n - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3825 and 285.\nAnswer: 72675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 7*i**6\/6 - 3*i**5\/5 + i**3\/3 + 7*i**2\/2 - 43*i - 3902. Find the third derivative of f(o) wrt o.\nAnswer: 420*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 57*a. Let x(b) = 4*b**2 + 113*b. Let r(d) = -7*j(d) + 4*x(d). Let u(g) = -2*g. Give r(u(l)).\nAnswer: 8*l**2 - 106*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*v + 1120*v = -1144 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -320307.\nAnswer: -19\/106769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36107 (base 8) to base 4.\nAnswer: -3301013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 522966004 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*p - 1164 + 6152 = 0, -2*n = 2*p - 3330. Calculate the greatest common divisor of n and 1792.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.9 in -1\/2, -0.39, 1, 4, -2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2363, -2094, -1675, -1124, -459?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85192 is divided by 164.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 254072*n**2 - 449248.\nAnswer: 508144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -215 - 11?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.45752 and -3321?\nAnswer: 3316.54248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2230 times 0.1\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*f**2 - 54*f**2 + 92*f**2 - 157*f**2 - 2*f.\nAnswer: -234*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*h - 45 = 199*h - 349. Solve -3*z - j = -h, -11*z - 3*j = -8*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -1. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -41*d**2 + d - 18. Let f(a) = -174*a**2 + 4*a - 73. What is -2*f(b) + 9*q(b)?\nAnswer: -21*b**2 + b - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5180*o + 4682*o**2 + 987661 + 353959 - 4677*o**2.\nAnswer: 5*(o - 518)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(2) + 1 + -1*(sqrt(2) + sqrt(18)\/(-1*sqrt(9)) + sqrt(2))**2.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 78 - (1 + 9 + 14 + -13)) + 7?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -59) + -62 - ((-1 - -1) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/24 - (-3)\/(-12). Solve q = 4*p - 2*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 14*j - 794. Suppose -4*t + 8*t - 5*l - j = 0, -2*l = 10. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17019*q**3 - 13457*q**2 wrt q.\nAnswer: 102114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**2 + 3*x. Let q(m) = -32*m**2 + 10*m. Give 20*j(f) - 6*q(f).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644 a factor of 5851172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -572 - -606. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - -9 - 82 - 3 - 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-234)\/12)*4\/2. Is -36 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2, -0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6656 and 3286784.\nAnswer: 85456384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -2, 0, -4\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33023 + -1344?\nAnswer: 31124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 372.2, -3\/10475?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15950696, 15950727, 15950758, 15950789, 15950820?\nAnswer: 15950851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10353? (a) -5 (b) 7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 5 (b) 2\/7 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {x: 5, u: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + g + 126 = 0. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0 + 0*c**3 - 1\/60*c**5 + 0*c + 1\/8*c**4 - 15*c**2. Let d be w(3). Let l(y) = y**2 + y. Give l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3353, 6769, 10297, 13991, 17905, 22093, 26609, 31507?\n\"Answer: 9*o**3 + 2*o**2 + 3347*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5807, 5804, 5799, 5792, 5783?\n\"Answer: -b**2 + 5808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k*k\/(k*k**(3\/8)))\/(k\/k**(-1\/45))**(3\/5) assuming k is positive.\nAnswer: k**(-7193\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -66*c + 59*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60213661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*h - 4*h**2 + 248*h + 2*h**2 + 251*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 1250?\nAnswer: 8750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*x, o = 3*x - 0*o - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(4\/7))\/y*y)\/(y*y**(-15)*y))\/(y**(3\/19)\/y*y*y*y**(-23)))**(-2\/89) assuming y is positive.\nAnswer: y**(-9686\/11837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54154451?\nAnswer: 13, 127, 32801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 31, 58, 85?\n\"Answer: 27*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*r - 3*o + 10, -5*r - 20 = -4*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5)*485\/3. Let b = -33 + u. Is b less than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seqqjtmqeqqqqetsqt. Give prob of picking 1 j, 1 m, and 1 e.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017930459 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392) + -3 - sqrt(392))**2*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415.8 + -416. Let w be (-7)\/(-12) - (-2)\/(-6). Let l = -40 + 38. Which is the third biggest value? (a) 3 (b) l (c) z (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584328347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*o + 1. Find the second derivative of 6*y - 7*y**3 - o + 1 wrt y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 2\/3*t**3 + 0 + 0*t - 5\/12*t**4 - 56*t**2. Let m(i) = 9*i - 3. Calculate 5*h(d) + 6*m(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwwwwwwzwwwww.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let m(s) = 2*s**2 - 4*s - 2. Let u(o) = -m(o) + 3*q(o). Let b be u(-5). Suppose -3*v - 20 = -b*v. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*1)\/sqrt(3).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**3 - h**2 - 15*h - 15. Give t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/3, -1, 0.8, -44, 4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/30 and 73\/222.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 162*j - 2158 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (0 + sqrt(112) + sqrt(112)) - sqrt(14)\/sqrt(32))**2*-5.\nAnswer: -10115\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h**3 + h + 1. Let s be t(-1). What is the greatest common factor of 133 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + -1 + sqrt(288)))**2 + (-6*sqrt(22)\/sqrt(11))**2)*5.\nAnswer: -120*sqrt(2) + 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:37 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akak when four letters picked without replacement from {a: 5, k: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1133176 - -5.\nAnswer: -1133171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*y - 2*w + 40, 3*w - 27 = -3*y. Suppose 29 = y*s - 51. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/(-148))\/((-57)\/4)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by 6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 11*z + 8*z**2 - 23*z + 10*z. Let q(v) = 3*v**2 - 12*v. Give b(q(c)).\nAnswer: 72*c**4 - 576*c**3 + 1152*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1552*d**2 + 40*d + 136. What is the ten thousands digit of g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = -s - 2*q, -2*q = 3*s - 20. Suppose -s*x + 84 = -7*x. Let b = -52 - x. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3836, 3761, 3688, 3617, 3548?\n\"Answer: r**2 - 78*r + 3913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*h - 144 = -178*h + 447 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 4*u + 5*u)*((0 + u + 0)*(u + 3*u - 3*u) + (0*u**2 - 4*u**2 + 2*u**2)*(4 - 17 - 2)).\nAnswer: 62*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2 + 2*o + 2. Let h be z(1). Suppose -h*l + 3 + 1 = 0. Solve 0 = l*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.4 - 21. What is the biggest value in h, -5\/7, -5\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*n + 11 = 0, v + 2*n + 38 - 49 = 0. Let a = 1 + -1. What is the closest to v in a, -2\/17, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -97*y - 4\/11*y**4 - 13\/110*y**5 + 4\/33*y**3 + 0*y**2 + 0. Factor m(z).\nAnswer: -2*z*(z + 2)*(13*z - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 213, -9\/5, 14, 0, 1\/3 in decreasing order.\nAnswer: 213, 14, 1\/3, 0, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17533189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n - 20. Let p(k) = 9*k - 9. What is -6*j(r) + 11*p(r)?\nAnswer: 3*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 134\/9 - (-2)\/3. Let l = u - 1007\/63. What is the nearest to 0 in 3, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1058, -1056, -1054?\n\"Answer: 2*g - 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k**2 - 1066*k**3 - 112*k**2 + 217*k**2 - 1466*k**3.\nAnswer: -2532*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**5 + 6*l**4 + 10*l**3 - 5*l**2 - 2. Let a(t) = t**5 - t**4 + t**2. Let o(h) = -6*a(h) - p(h). Find the third derivative of o(s) wrt s.\nAnswer: 120*s**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.36 + 9.7. Let f = 0.54 - h. Let d = 0.09 - 4.09. Which is the nearest to 2? (a) d (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320.264 rounded to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:45 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009931583 to 6 decimal places.\nAnswer: 0.009932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -23) - (-64 + (94 - 26))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68057329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1468 - 1473.536. Let v = -0.064 + d. What is v rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 5*u**4\/3 - 17*u**3\/6 - 10*u + 2. Find the second derivative of x(v) wrt v.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43064 divided by -1538\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgjp when four letters picked without replacement from {j: 3, g: 7, p: 2}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3532, 7090, 11054, 15628, 21016, 27422, 35050?\n\"Answer: 34*z**3 - z**2 + 3323*z + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -8 - (42 + -65 + 39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-8)\/12))\/((-33)\/(-88))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31201 (base 4) to base 10\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 531 = 571 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2570?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, r: 3, y: 2, t: 1, j: 5}. What is prob of picking 2 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 45 = -4*y. Let f(m) = -8*m - 48. Let v = 2 - -6. What is the least common multiple of f(y) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -125, -132, -141?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + w - 3. Suppose 4*j - 4*v = 12, -5*j + 0*v + 3*v = -5. Let f be z(j). Differentiate 3*r**3 - f*r**3 + 14*r**4 - 18*r**4 + 16 wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-150))\/(((-144)\/20)\/1)*(-63)\/21.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -3 - (-23 - -23).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**6\/24 + 77*o**5\/6 - 5*o**4\/24 - 385*o**3\/3 - 7*o**2 - 43. Factor k(m).\nAnswer: 5*(m - 1)*(m + 1)*(m + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1674397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -4\/7, -0.1, -8, 42, 0.1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 l when four letters picked without replacement from wwillwwxwwwxw?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/12 + 5*p**3\/2 + 11*p**2\/2 + 20*p. Suppose 85 = -5*x - 5*t, x + 15 = -4*t - 2. What is the tens digit of i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 2:30 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*h + 5*j + 88, -5*h + 4*j + 151 = 0. Let p = 35 - h. Suppose -5899 = p*a + 6501. What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888 divided by -3419.\nAnswer: 888\/3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**5 + 7*y**4 - 1799051*y**3 - 12*y**2 - 14320606 wrt y.\nAnswer: -120*y**2 + 168*y - 10794306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**7\/630 - g**6\/360 + g**2\/2 + 3. Let h(w) be the second derivative of f(w). Factor h(b).\nAnswer: -b**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(-5\/6)\/q)\/q))\/(q\/(q\/(q\/(q\/(q**(-2\/41)*q*q)))*q)*q))**39 assuming q is positive.\nAnswer: q**(6019\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14\/15 (b) -2\/9 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-five halves of a milligram in micrograms?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73343, 147768, 223263, 299822, 377439, 456108?\nAnswer: 535823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnnnvnnnnnnvnn. What is prob of picking 2 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-25)\/(-3) + (-6)\/8 and ((-59)\/(-3))\/((-8)\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 41. What is the biggest value in -0.1, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5682621559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 11739.\nAnswer: 11739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23839123 a multiple of 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1408 in 0.5, -4, -0.3, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + g**4 + 65*g**3 + 18*g**2 + 0 + 5*g - 12*g**2 - 4*g**2 - 2 in the form h*g**2 + n*g**4 + k*g**3 + d*g + j and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/((-7)\/(-378)*-4). Which is smaller: -107 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -65.6. Let v = 307 + -2155\/7. Which is the second smallest value? (a) m (b) -3\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5770.7 + -89698144.\nAnswer: -89703914.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 + 42*p**3 + 14*p**3.\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 35 = 10*o. Let h be (40\/o)\/((-1)\/(14\/4)). Let t be (1260\/(-16))\/(-15) + 2\/(-8). Solve g = -h*g + t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 50 = -5*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(27\/(-6) + -5). Sort -0.02, m, 1 in decreasing order.\nAnswer: 1, -0.02, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9269508, -18539022, -27808544, -37078074?\nAnswer: -46347612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(310\/(-8))*-20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*v - 27*v + 12788 = -26*v for v.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in 390, 0.1, 10, -1\/8, -2\/19?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k**(-6\/5))\/(k**2)**(1\/32) assuming k is positive.\nAnswer: k**(-143\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Suppose m - 4 = 0, b*m = l - 2*m - 69. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3777*d + 3777*d - 554*d**3 + 485*d**3.\nAnswer: -69*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 82.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 2*c**3 + c**3)*(5*c + c - c) - 33*c**4 - 4*c**4 + 4*c**4 + 4*c**4 + 0*c**4 - 3*c**4.\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -277179*l**4 + 69*l**2 + 2260.\nAnswer: -6652296*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 96*h + 74. Give d(-31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/360 and 13\/54.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 10*k - 1. Let y be c(-7). Suppose 6*u - 3*x - 60 = u, 0 = -4*x + y. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7705409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {j: 1, x: 1, q: 1, m: 1, s: 1, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 71.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 189 = 4*d + 81, -216 = -4*f + d. Suppose 12 = 2*l - 2*n - f, -4*n = 3*l - 92. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (-36)\/(-8))*686. Let x = 410 + f. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/15 - 6*t**4\/5 - 18*t**3\/5 - 46*t**2\/15 + 16*t\/5 + 24\/5 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282809.\nAnswer: 282809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/48*-2)\/((-5)\/4*(-84)\/(-112))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48 or -64?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -3, 1, -3\/4, -5.\nAnswer: -5, -3, -3\/4, 1, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -30*(22\/(-12) - (-3)\/2). Let y = -1 - -2. Let v be (y - 11)*(-2)\/4. Calculate the greatest common factor of q and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/44151 and -62\/33.\nAnswer: 485661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448) + 1)**2 + -4*(sqrt(448) + 2 + sqrt(448)) + 2.\nAnswer: -96*sqrt(7) + 1787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t + 160. Let q be b(25). What is the highest common divisor of 323 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 15*d**2 - 56*d + 593. Calculate u(20).\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h + 19. Let y be j(10). Let d = -56 + 80. Calculate the remainder when (-1)\/(2 + 285\/y) is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.5 + -4. Let r = -52 - -48. What is the nearest to 0.2 in -1, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**5\/120 - 2*q**3\/3 - 4. Let j(y) be the third derivative of a(y). Let s(r) = -2*r + 2*r + 5*r**2. Give j(s(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*c - 8*c. Suppose -j - c*f = -2*j + 3, -5*f = -2*j + 8. What are the prime factors of -4*(-1 - -2)*j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61265383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1566 - 3083. Let j = -1518 - z. Let g = 9 + -6. Which is the fourth smallest value? (a) -0.8 (b) g (c) -3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20686945 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 126.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(570) + sqrt(570)*3)\/sqrt(10) - ((sqrt(912)*-3 - sqrt(912)) + sqrt(912)))\/(-4*-5*(sqrt(27) - (sqrt(108) + sqrt(27)))))**2.\nAnswer: 76\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayxa when four letters picked without replacement from {n: 4, a: 3, x: 3, y: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 48*q - 312 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5, -33, 3\/5 in increasing order.\nAnswer: -33, -5, -4, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94 - -1) + 35 - -28.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 11:17 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3383 at least as big as -246917\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 340 = h. Let x(k) = -k**2 + 12*k - 20. Let z be x(10). Suppose w - 34 + 12 = z. What is the remainder when h is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.38 (b) -35 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8695 is divided by 870?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k + 14. What is the tens digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13394663 to the nearest integer?\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n + 0 - 1\/3*n**3 + 2*n**2 + 1\/12*n**4. Differentiate c(k) with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3 (b) -8 (c) -2\/11 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101907 - -100103.19. Let p = 1880.5 + b. Let y = p + -77. Round y to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-558)\/(-8) - 7\/(-28)) + -1 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7859 = 51*f - 40958. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3098.1 + -3098. Sort 163, 2\/7, m in increasing order.\nAnswer: m, 2\/7, 163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1257042 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(4\/24). Suppose 8*r = m*y + 7*r - 19, 11 = 3*y - 4*r. Find the second derivative of -28*a + 1826*a**4 - 1826*a**4 - 15*a**y wrt a.\nAnswer: -300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/12)\/((-89)\/30 - -3). Suppose 16 = c + 3*c. Solve -r - c*r = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/((((-10)\/10)\/(3\/(-12)))\/(-2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 73. Let f be v(-32). Let q(s) = s**2 + 10*s + 11. Give q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(7\/2). Which is the nearest to 0.3? (a) 4\/7 (b) n (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*n + 8 = 0, -5*o - 2*n - 36 = -31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1164 + 4784. What are the prime factors of f?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1 - 20\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 + 2*t + 3. Suppose 0 = -n + 5*a - 0*a + 11, -5*n - 2*a + 28 = 0. Let r be (-15)\/n - -3 - (-77)\/(-22). Determine l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/7 (b) -1\/8 (c) -5485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3682, 3683, 3684, 3685?\n\"Answer: f + 3681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2475131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**3 + 13*f**2 + 13*f - 439. Let d(t) = 5*t**3 - 6*t**2 - 6*t + 219. What is -13*d(o) - 6*v(o)?\nAnswer: o**3 - 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + (-110)\/(-60))*6. Is y at least -73\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2 (c) -15\/8 (d) -1 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1829383000 to the nearest one million.\nAnswer: -1829000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(100) - sqrt(100)*-1 - sqrt(100))*4)\/(sqrt(5) - (sqrt(20)\/(sqrt(4) + (sqrt(4) - -2*sqrt(4))) - sqrt(5) - sqrt(5)) - -2*sqrt(5)*1).\nAnswer: 32*sqrt(5)\/19 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1784*c*u - 169*c - 2 wrt u?\nAnswer: -1784*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1683 + 1683. Let q(r) be the third derivative of 1\/510*r**5 + 4\/51*r**3 + 6*r**2 + i*r + 1\/51*r**4 + 0. Factor q(j).\nAnswer: 2*(j + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -84, -91, -102, -117, -136, -159?\n\"Answer: -2*h**2 + 3*h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-207)\/(-184)*(-184)\/(-23). Which is the smallest value? (a) -3 (b) 1.16 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 2529?\nAnswer: 505.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + 4 + (0 + sqrt(832))*3 + (sqrt(4212)*-1 + 1 - sqrt(4212))**2.\nAnswer: -48*sqrt(13) + 16863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - 4) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3\/3 + 9*s**2\/2 + 9*s - 2. Let m be u(-7). Let l = 17 + m. What is the remainder when 35 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 not equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62124 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 136557*a = -136553*a + 50, 2*a = 6*v - 0*a - 30 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-54 - -84 - 75) + -3\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**6\/10 + 7*y**3\/6 - 6*y. Find the second derivative of t(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 34416*b - 81822050.\nAnswer: 2*(b - 19325)*(b + 2117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, v: 2, m: 4, d: 2, i: 1}. What is prob of sequence vk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46112 and 591203.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by -1772.\nAnswer: 66\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Let j = 1 + h. Let g(m) = 2*m - 2. List the prime factors of g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 - 2*l + 169. Let s be t(0). Suppose 2*f + 5*k - s = 0, -3*f + 0*k - k + 260 = 0. Is f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/((-2)\/(-3)). Let m = -1\/184 + -275\/184. Let w = t - m. Which is greater: -15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189332171?\nAnswer: 7, 1129, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 33 - -36 - 51.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256 and 692568?\nAnswer: -177297408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*o - z + 420, -2*z = 0. Let s = -1119\/8 - o. What is the common denominator of (138 - 1)*1\/(-18) and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -4*i**7\/105 + i**6\/20 + i**5\/30 - 5*i**2. Factor r(a).\nAnswer: -2*a**2*(a - 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 8 = 14. Suppose 0 = -5*c + 4*j + 22, 0 = -5*c + 3*j + 2*j + 25. Let w(y) = 1 + y**c + 2 - y + 4*y. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -138, -350, -656, -1056, -1550, -2138?\nAnswer: -2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/36 and 121\/840.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028057455 rounded to seven dps?\nAnswer: -0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31867\/(-57940)*(-96)\/(-99)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725 a factor of 73589744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, 3*a - q + 5 = 4*a. Suppose -5*t + 4*t + a = 0. Solve 4*b - t*x + 16 = 0, 2*b + 9 - 1 = -4*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 154, 0.1.\nAnswer: 0.1, 0.5, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2594170701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 - 7722*a + 53907 = 0.\nAnswer: 7, 2567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 401*h**2 + 15. Let z(x) = 803*x**2 + 35. Determine 7*u(f) - 3*z(f).\nAnswer: 398*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6499 (b) 7 (c) 3\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(2397\/(-170)))\/((-55005)\/171)?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.1497 to 2 decimal places.\nAnswer: -21.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 29. Suppose -2*i = -3*z + t, 6*z - 2*z + i = 3. Is 58\/4*(z + 12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13475)\/450 + 30)*-12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 89*p - 494. Let s be r(6). Solve 0 = -s*j - 4*v - 4 - 12, -4*j = -3*v + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 23683?\nAnswer: -23684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -34 - (-1850 - -1860).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 5*m**2 + 0*m**2 + (2 - 2 - m)*(0*m + 2*m - 4*m) + (-10 + 10 - 4*m**2)*(-1 - 3 + 5) to the form z*m + w + k*m**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 56 = -3*f - 5*u, 3*f - 3*u - 24 = 0. What is the remainder when 28 is divided by (12\/8 + -1)*f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*b + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2747*h**3 - 1830*h**2 - h**6 - 81808*h**4 + 81808*h**4 wrt h?\nAnswer: -120*h**3 + 16482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose b*l - f = -0*f + 29, -2*l + 2*f + 16 = 0. Calculate the highest common factor of 14 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10222010 (base 3) to base 7\nAnswer: 11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2. Let n be (-5085)\/(-225) + ((-13)\/5 - (6 + -8)). Let f(s) be the second derivative of 0 + n*s - 13\/3*s**3 + 0*s**2. Determine f(l(k)).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + -3*(-88480)\/15. Suppose 11*h = n + 20512. Suppose 5*d + 2*c = 5611 + 136, -h = -3*d + 5*c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, -5, 11, -4, 1612 in decreasing order.\nAnswer: 1612, 11, -4, -5, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10434)\/(-611) - (-180)\/195.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**4 - 2*g**3 - 2*g**2 + 9. Let k(l) = 19*l**4 + 7*l**3 + 7*l**2 - 28. Let p(h) = 2*k(h) + 7*v(h). Find the first derivative of p(m) wrt m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z - 1. Let h be b(-1). Suppose -14 = -h*u + 1. Let c(g) = 2*g - 5. Give c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 + 24*f - 3. Suppose -k - 61 = 2*t - 5*t, 65 = -k + 5*t. Let y = -47 - k. Let a be d(y). Let m(h) = -2*h + 2. What is m(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 0 + (-3 + -1*(sqrt(48))**2)*-5.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46389541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43461 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 205*b + 138. Let o be n(69). Solve -9*m - 13 + 58 = o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/2)\/(5\/(-20)). Let t = 4 - a. Let h = -4 + t. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 11*a + 6 = 0. Suppose -2*k + 5 + a = 0. What is the third derivative of -b**k - 2*b**2 + b**4 - 2*b**2 - b**4 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/110 and 117\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 2*l**2 + 1. Let j be h(-1). Let n be -2*j*(-2)\/5. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.049206 - -563.419206. Let u = g - 564. What is u rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270432391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(0 + 49\/7). Suppose -6\/7*b**2 - 2\/7*b**4 + a - 8\/7*b + 8\/7*b**3 = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - w - 3. Suppose 0 = -7*n - 38 + 10. What is v(n)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:55 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 18 = 6*l. Calculate the remainder when 7 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 8*i - 5 = 0. Is i > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*s + 2 = 5, s + 85 = 5*j. Suppose j = -23*t + 32*t. Solve t*b - 6*b - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2\/7*d**5 + 568\/7*d**2 - 64*d + 38\/7*d**4 + 0 - 240\/7*d**3 = 0.\nAnswer: 0, 2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 - 331*k - 4763. Calculate d(-20).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3272*p - 490792. Give z(150).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((6\/4)\/((-294)\/(-14)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = t - 4*n, 3*t - 4*n - 116 = 46. Factor -76*q**2 - 18\/5*q**4 - t + 122\/5*q**3 + 105*q + 1\/5*q**5.\nAnswer: (q - 5)**3*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/3, -1\/325 in ascending order.\nAnswer: -4, -1\/325, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1001101000?\nAnswer: 1001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 24 = v. Suppose -v*c - 2*k - 20 = -c, k = -3*c - 11. Which is bigger: -1\/2 or c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1347, -2695, -4039, -5379, -6715?\n\"Answer: 2*r**2 - 1354*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1220.8 and 0.3.\nAnswer: -1220.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 377 = -121*u + 579, -55*z + 32 = 5*u - 53*z for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3534*v + 100. What is the tens digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230221604 (base 7) to base 12\nAnswer: -4850708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 2488*p**2 + 29398*p - 209440.\nAnswer: 2*(p - 5)*(p + 17)*(p + 1232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(240\/5))\/(2\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 95.67043ns?\nAnswer: 0.09567043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 - 66082*s\/9 - 132172\/9.\nAnswer: 2*(s - 33043)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.2691\nAnswer: -0.05382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {f: 6, n: 2, r: 1, c: 2, h: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51919483.\nAnswer: 7, 11, 29, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*l - 14*l + 19*l)*((-2 + 4 - 1)*(0 - 1 - 1) + 0 + 1 - 3 - 3 + 8 - 3).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00105181 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (138\/(-9))\/((-5)\/((-30)\/(-4))). Let f = o + 310. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1994 + 11589 = 505*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 3 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*r**2 + 1 + (-57 - 14*r + 57)*(-3*r - 4*r + 3*r).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-15)*(-2955)\/(-3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 19*d**2 + 0*d**3 + 1\/120*d**6 + 1\/24*d**4 + 0*d + 0 - 1\/60*d**5. Let h(b) = -2*b**3 + 3*b**2 - 3*b. What is -3*a(m) - h(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 5 - ((-3 - 2) + 2). Let a(g) = m*g**2 + 5*g**2 - 17*g**2. Let j(x) = -2*x. Give j(a(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2066596 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -1\/2*s**3 + 0 + 1\/60*s**6 + 4*s**2 + 5\/24*s**4 - 1\/20*s**5 + 0*s. Is k(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11055 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from qyjbqbjbvbvjbbj.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u + 5, 2*p + 1 = -3*u. Suppose -5*b - 3*k = -0*k + 3, -1 = p*b + k. Solve 3*m + 9 + 0 = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {w: 2, m: 4, e: 2, r: 7, g: 2}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 4*r + 24. Suppose -175 = -24*k + 41. Let j be a(k). Calculate the greatest common divisor of j and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 665967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - 168. Let j = 193 - z. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 - 10123201?\nAnswer: -10130312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from {x: 1, b: 2, u: 5, c: 2, l: 10}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 9*d - 12*d + 5*m, -5*d = 5*m + 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16 and (-1)\/1 - 57\/(-36).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65244.\nAnswer: 2, 3, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7194432 divided by -6.\nAnswer: -1199072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -357 and -126133.\nAnswer: 45029481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 249*l - 1916. Let v be x(8). Solve 5*y - 51 = -v, -5*n - 5*y - 20 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 2750220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let x be m(-2). Suppose -j + 6 = z, -z - 18 = -x*z - 4*j. Let h(t) = t**2 + 5 - 1 - z + 6. Calculate h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14025, -28025, -41999, -55947, -69869, -83765?\n\"Answer: 13*n**2 - 14039*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 10*p + 7. Suppose -3*d - 28 = 8. What are the prime factors of r(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.12537 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(576) + (sqrt(576)*-3 - sqrt(576)))*3)\/((((sqrt(144) - 2*sqrt(144) - sqrt(144)) + sqrt(144))*3)\/sqrt(12)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/4 - (-3 + 7). Which is greater: 2\/45 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.255372t?\nAnswer: 5255372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68062 is divided by 9636.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4734 (b) 10 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (522\/(-2175))\/(6\/20)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1259, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -334\/9 or -8.83?\nAnswer: -334\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r + 96. Suppose 26*d - 22 = r*d. Calculate the remainder when 41 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24433 + 70876. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/8 - 999*b**3\/2 + 663333*b**2\/4 + 666333*b\/2 + 1334667\/8.\nAnswer: 3*(b - 667)**2*(b + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 25*n**2 - 261*n - 2220. Determine w(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 625*g**2 + 595*g - 30 = 0?\nAnswer: -1, 6\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 2*p**2 + 3. Suppose -12 = -5*z + 4*x + 15, 2*z = -5*x - 9. Let i(m) = m**z - 4 - 4*m + m**3 - 3*m**2 + 6*m - m. Determine -2*i(j) - 3*u(j).\nAnswer: -j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-13 - -4) - (-4 - (-300)\/32). Let s = 5.07 - 0.07. What is the fourth biggest value in s, n, 1.5, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17549004?\nAnswer: 2, 3, 11, 132947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 29 = 3*y, -23 = 3*c - 6*c - y. Let p = -26997 + 27000. Solve -p*q = 4*q + c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 17*x + 75. Let f be y(12). Let n(c) = -c - 27. What is n(f)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -33, -34, -35, -36, -37?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 + 10*l + 5. Let i be m(11). Let z be (-10)\/i*54\/30. What is the common denominator of ((-53)\/z - 6)*(-3)\/(-4) and 41\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4843 = 5*p + 3*a, 0 = -5*p - a + 6062. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -5*m**4\/4 + 11*m**3\/3 - 7*m + 3. Let w(f) = -6*f**3 + 12*f**2 + f - 8. Let j(q) = -4*w(q) + 5*x(q). What is j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 11443?\nAnswer: 11440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/28504 and 51\/20360.\nAnswer: 142520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2112 and 26537808.\nAnswer: 106151232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -28. Let j be ((-9)\/(-6))\/(1\/n)*-3. Let v = j + 15. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*u - 528*u = 4176 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*s = 83*s - 540 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73039, 292285, 657917, 1170115, 1829059?\nAnswer: 2634929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -36, 6, 3, 1 in increasing order.\nAnswer: -36, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w - w)*(3*w**2 - 9*w**2 + 3*w**2) + 4*w**3 - w**3 - w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**2)*v)\/v)\/(v*v\/v**(-2\/15)))\/(v**(1\/9)*v\/(v*v**(-7\/2))) assuming v is positive.\nAnswer: v**(-337\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1011768 and 220.\nAnswer: 55647240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 35 - -3 - (1 - -1 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-441 - -9)\/8 - ((-234)\/9 + 14)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 630 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -355578953 - -498137980. Let d = 208059027 - g. What is d rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/60 + w**2. Let l(t) be the first derivative of -34*t**3\/3 - 1604. What is l(p(m))?\nAnswer: -34*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/92*((25\/(-2))\/5)\/((-3795)\/(-9108))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 9:56 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a - 80 = -30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 4*k + 4*k + k. Let b be v(-4). Let m = -3 + 3.3. Sort 0.1, m, b.\nAnswer: 0.1, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from {m: 7, x: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14860377 is divided by 2849.\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 183.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1077427 and 15678.\nAnswer: 19393686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -9*r + 6. Solve r*c + c - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -71476?\nAnswer: 5\/71476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-10))\/(1\/(-2)). Let j = -9 + l. Is (-238)\/j + (-6)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -91. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169639 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*z + n, 2*z = -0*z - n + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 5*k - 10. Let q be b(-7). Suppose -7*r - q = -6*r. Which is bigger: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2321448 and 0.67.\nAnswer: 1555370.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 56*r**2 + 3*r - 31. Let t(y) = -y**2 - y + 1. Let b(q) = 5*t(q) + w(q). What is the second derivative of b(d) wrt d?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11112386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/11)\/(2 + 1). Suppose -j - 2*u - 13 = -4*j, 5*j - 3*u - 20 = 0. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89 (base 10) to base 7.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 - 12993775*m**2 - 51975040*m - 51975020 = 0. What is m?\nAnswer: -2598751, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 115?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*s = 33 + 113, -5*j - 245 = 3*s. Let b = 52 + j. Solve b = g + 1, 4*z = -4*g + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 5, g: 3, q: 1, h: 4, l: 1, i: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, -23, -71, -129, -191, -251, -303, -341?\n\"Answer: x**3 - 14*x**2 + 3*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -1 (c) -37\/126 (d) -4 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 403*32\/(-208)*(-17)\/34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2532385 != -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 45, -5 in ascending order.\nAnswer: -5, 0, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 5. Let n(k) = 9*k + 2. What is d(n(c))?\nAnswer: 9*c + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (0 - -1)) + 38 + -42\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.7 - -234.3. Let c = h + -277.999831. Round c to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 + 4.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1659576 + 1659576 + 32898*y to the form w + k*y and give k.\nAnswer: 32898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 3*s)*(-5*s + 2*s + 2*s)*(2*s - 1 - s + 3).\nAnswer: -2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 11280?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*q**2 + 5)*((-3 - 4 + 4)*(-q + 2*q - 2*q) + (-3 + 3 - 2)*(-q - 6*q - 9*q)) - q**3 + 0*q + 0*q.\nAnswer: 139*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049130 rounded to the nearest ten thousand?\nAnswer: 2050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((48\/(-28))\/4)\/(-3). Let u(l) = l**3 + 8*l**2 - 9*l + 2. Let s be u(-9). Which is the closest to -0.3? (a) -0.2 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -10. Let i be 4\/(-12) + b\/6. Let u(j) = -7*j**2 + j + 1. Calculate u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apppapapaa. What is prob of sequence appp?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 90. Let y be (0 + -2)\/(4\/w). What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqnfd. Give prob of sequence dnqc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1353 - 1453 - (2 + -61)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*2 + sqrt(80) + -2*sqrt(80) + sqrt(20))\/(5*(1*sqrt(640) + sqrt(640))).\nAnswer: 3*sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 29*r**2 + 74 - 18*r**2 + r - 148.\nAnswer: -47*r**2 + r - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488062015?\nAnswer: 3, 5, 31, 198173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = p. Let o(w) = -134*w**2 - 176*w + 86*w - 2 + 83*w + 1 + 133*w**2. What is o(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -35*n - 13. Is d(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 11*g + 4. Give p(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 - 6*p - 2. Let m(s) = -3*s**3 - 3*s**2 - 12*s - 5. Let g(a) = -10*k(a) + 4*m(a). Factor g(y).\nAnswer: -2*y*(y - 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102065 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Let u = -41 + 40.6. Let i = 0.2114 - -0.1886. What is the nearest to 0.1 in w, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 257314 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 272 = 29. Suppose -2 = -0*i + 2*i. Let o be i\/(3 + 812\/(-270)). What is the greatest common factor of o and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 + (-22)\/(-6). Let p(u) = -u - u**2 + 0*u - a*u. Suppose -15 = 2*w + q, -98*w + 95*w - 3*q = 27. Calculate p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from {f: 2, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + 7. Is 49 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f5 + 1?\nAnswer: -1f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4643 and 25.2?\nAnswer: -117003.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.365134107 to one dp.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-42)\/18) + (-31)\/(-11). Let i = 0.3 - -1.7. What is the biggest value in i, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7 + (-13 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58927779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19\/(q*q\/(q**(-17\/2)\/q)) assuming q is positive.\nAnswer: q**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.37*78.\nAnswer: -3226.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 1\/9, -2\/13, -8\/347?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 31*c - 477, 3*c - 4*l + 16*l = -10*c + 15*c - 78 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 115*c - 332. Let n(d) = 80*d**2 - 3100*d + 8965. Let m(j) = 2*n(j) + 55*o(j). Suppose m(l) = 0. What is l?\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -21. Solve o + 1 = -q + 2*q, -2*o + 3*q = h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -7*m**5\/80 - 23*m**4\/48 - 5*m**3\/6 - m**2\/2 - 2*m - 1. Let b(a) be the first derivative of c(a). Factor b(r).\nAnswer: -(r + 1)*(r + 2)*(7*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Suppose r*v = 5*v. Is 2\/25 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10592629, 10592654, 10592679, 10592704?\n\"Answer: 25*j + 10592604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)*h\/(h*h\/(h\/(h*h**(2\/25)*h))*h))\/(h\/h**(-1\/6)*h*h**(-1)) assuming h is positive.\nAnswer: h**(-2437\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3\/16, 0.2, 152067?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d. Let l(t) = -22*t - 9. Let s(j) = 155*j + 60. Let y(g) = -20*l(g) - 3*s(g). Give y(n(c)).\nAnswer: -150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 102465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.3 - -3.3. Let g(x) = -x. Let v be g(4). What is the nearest to y in -3, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from {r: 4, p: 15}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Suppose k - 37 = -i*k. Is k 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 nxxgxxnnxxgxnxxgxx. What is prob of sequence ngx?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6464.827 millennia to years.\nAnswer: 6464827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 0.5 (c) -1 (d) 9 (e) 2976 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/8 + 3*5\/(-60). Suppose 4*o + 17 = 5*m, -4*o - 4*m - m = 7. Let i be 2\/(-5) - 22\/15*o. Solve 0 = -i*a + 6*a - 2*f + 8, 2*a - b*f + 20 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 18*m**3 + 11*m**2 - 11*m - 14. Let v(y) = -4*y**3 - 4*y**2 + 6*y + 3. Let x(c) = c**3 + c - 1. Let k(l) = v(l) - 2*x(l). Determine 4*b(g) + 11*k(g).\nAnswer: 6*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 + 28*c - 28*c + (-5 + 5 - c)*(-11*c**2 - c**2 - c**2).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 657222247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 3*v + 82. Determine u(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v + 56. Let h be 24\/v + (-2)\/(-7). Suppose o + 2*d = 31, h*o - 155 = -3*o + 2*d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -271*m**2 - 263*m**2 + 2*m**3 + 536*m**2 - 51 as k*m**2 + g*m + l + n*m**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 + 2*h**3)*(-4*h + 2*h - h) + (-h**2 - 3*h**2 + 5*h**2)*(-h - h**2 + h) + 2*h + 2*h**4 - 2*h - 5*h**2 + 5*h**2 + 2*h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 182\/130 + (-1 - 0). Which is the third smallest value? (a) n (b) -4 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644224693.\nAnswer: 113, 14550661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*n = 585*n + 630*n - 39664 for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1353*d**2. Let g(v) = -2*v**2. Give g(b(p)).\nAnswer: -3661218*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 14 + (-21 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from lolcetep.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186546 is divided by 1362?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0135 - -0.9865. Which is the third biggest value? (a) g (b) 17 (c) -5 (d) 3\/4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 + 316. What is the third derivative of -o*c**3 - 10*c**2 - 7*c**5 + 139*c**3 wrt c?\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 31 + (2 - (0 - -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/357 and 157\/714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0 = -252. Suppose 2*z - 28 = 14. Calculate the greatest common divisor of z and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**3 - 3*f**2 - f + 22. Let p(y) = 12*y**3 - 3*y**2 + 24. Let q(r) = 11*c(r) - 10*p(r). Determine q(-5).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2386 + -7094\/3. Let z = o - 59\/3. Put -0.4, z, 0.2 in decreasing order.\nAnswer: z, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.78085 + -25.212. Let a = s - 0.557. Round a to four decimal places.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*k + 17, -m + 1 = 4*k - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 501*n + 104*n - 4235 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {g: 3, r: 4, j: 9}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -3256 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9487, -17273, -25049, -32815, -40571?\nAnswer: -48317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 82*f**2 - 7*f - 63. What is the lowest common multiple of m(42) and 63?\nAnswer: 9513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 3*u + 2. Let r be m(3). Suppose -w + 4 = y - 1, r*w + y - 10 = 0. Suppose -15 = w*f - 0*f, 4*b = -4*f + 40. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Suppose 5*d - 3*q - 17 = s, d + 2*q + 19 = -3*q. Let n be (36\/24)\/((-3)\/(-2)). Does n = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*z = 24, -2*n + 4*z + 19 = 15 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 - (-56)\/(-6) - (-311)\/(-3). What is the tens digit of (j + (-4 - -3))*20\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -55*s**3 + 19252*s**2 - 698*s - 644. Give k(350).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:16 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26680213639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33488 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 3 - (7 + 270\/(-10)). Suppose 14*w = a*w - 664. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*-12*(-7)\/70.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (2*sqrt(832)*-1 - sqrt(832))**2 + 2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1326229?\nAnswer: 1\/1326229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -404 - -4?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7144*n - 135335. Give y(19).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6486.6 and -33.12637.\nAnswer: -6519.72637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r + 0*r)*(2*r**3 - r**2 + r**2) + (4*r - 2*r + 4*r)*(-2*r**3 - 2*r**3 + 6*r**3).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(1\/19))**(-1\/12)*(v*v**(-1\/15))**(-1\/8) assuming v is positive.\nAnswer: v**(-82\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 975275.7 tonnes in milligrams?\nAnswer: 975275700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 9*w**2 - 9*w + 12. What is the lowest common multiple of 9 and h(8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8760336 centuries?\nAnswer: 0.08760336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1932 and -47\/22?\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6105760*g + 3031788 wrt g.\nAnswer: 6105760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2644145536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.7. Suppose -4*d + 5*o = -41, -5*d + 25 = -0*d - o. Let w be (d*(-7)\/(-336))\/(1\/3). Which is the second biggest value? (a) 4 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1938944.\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/11)\/(l\/(l\/(l*l**5)))*(((l*l**(2\/3))\/l*l*l)\/l)**(-1\/29)*l**(-1\/4)*l**(2\/15)*(l*l\/l**(1\/3)*l)**(12\/7) assuming l is positive.\nAnswer: l**(-67517\/44660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4\/25 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -968.9871 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 144 + 224. Let x(v) = -v**2 - 3*v + 17. What is x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 11*y - 14*y - y to w*y + s and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 + 3*x + 3. Let q be j(-2). Solve -q = -3*l - 3*b + 2, -l = 3*b - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r - 16. Let x be g(11). Suppose 6*q + 32 = x. Let a = -68\/5 + q. Sort a, -5, -6 in increasing order.\nAnswer: -6, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**40 assuming j is positive.\nAnswer: j**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - (-1 - 8)) + (-13 - (-51 - -41))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = 5*z - 106. Suppose 8 + 8 = 4*c. Let p = z - c. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -9, 1\/87, -1, -2\/5 in descending order.\nAnswer: 10, 1\/87, -2\/5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 115?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/4)\/(-5)*((-867420)\/450)\/(-61).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 578\/116) + 2. Let h = -6180369\/290 + 21312. Let a = h + p. Are 0.2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from nleknekeeegnee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3214340113?\nAnswer: 3214340123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4 - 8697*i**3 + 8407098*i**2 - 2712684492*i + 2704286088 = 0.\nAnswer: 1, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6152730187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4640 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k - 4*n + 64 = 0, -4*n = 0. Let w = -23 + k. Let h(t) = t**2 + t + 1. Calculate the remainder when w is divided by h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.04, 196, 0.3, -131\/11 in descending order.\nAnswer: 196, 0.3, 0.04, -0.1, -131\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = -3*s, 7*s - 4*c = 3*s + 36. Let w be 8\/6 - 2\/s. Which is smaller: 2\/3 or w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 14. Let y = -14 - h. Suppose -22*x + 19*x + 141 = y. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3*b**2 - 2*b + 2. Suppose 0 = -0*v + 5*v - 10. Let g be y(v). Solve 3*w = -f + g, 2*w + 3*f + 10 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 10*g + 3. Let l be n(-10). Let c(s) be the second derivative of -s + 0 + 3\/2*s**2 + 1\/6*s**l. Calculate c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 j when four letters picked without replacement from sjjjsjsjssjjsjjs?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41.1 and -37039.9?\nAnswer: 36998.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 862 + -858. Suppose -5*g + 0*g + 80 = 0. Sort -4, g, a in ascending order.\nAnswer: -4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 6. Let a(k) = -9*k**2 + 36. Let p(g) = -a(g) + 6*r(g). Let j(t) = -399*t. Calculate j(p(c)).\nAnswer: 1197*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(a - a + 2*a) + 2*a + 2*a - 6*a + 31 + 77*a + 2 - 76*a.\nAnswer: -3*a + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3860716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**5 - 2*n**5 - n**5 - 1 + 1 - 2*n**5 - n**2 + n**2 - 2*n**5 + (-1 + 1 - 1)*(-n**5 + 1 - 1))*(-2 - 1 + 4).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(550) + 3*sqrt(550)*1)\/(1*(sqrt(121)\/(sqrt(33)\/sqrt(3)) + sqrt(11))).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344795888 is divided by 86198970.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let g(j) = -22 + 61 - 20 - 19 - 668*j. Calculate g(v(h)).\nAnswer: 668*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21726 (base 10) in base 12?\nAnswer: -106a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = 814*p - 7877 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20102?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3393, 2, 9, -1 in increasing order.\nAnswer: -3393, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/15 (b) 3 (c) -2 (d) 2\/5 (e) 3\/13 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*p = -88 + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:10 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18879620102 - -596.\nAnswer: 18879620698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-705)\/(-60))\/47)\/((-3)\/45*-1)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 1977*n**3 + 1757*n**3 - 4*n - 3783*n**3.\nAnswer: -49*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1124 and -29\/11802.\nAnswer: 23604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8*v**2 - v - 45\/4*v**3 - 81\/4*v**4 = 0. Calculate v.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -26839185 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/2 (b) 1 (c) 2\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2012 by 26.\nAnswer: -1006\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-442))\/(6\/738). Let p = -104\/11 - -3547\/374. Let m = p - g. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 + 1 + -1 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a + 52. Let d = -205 - -212. Is m(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3824485 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5*g - 2\/5*g**4 - 74\/5*g**2 - 8*g**3 + 0.\nAnswer: -2*g*(g + 1)**2*(g + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 7, -2*x - 2130 = -3*l. What is the remainder when l is divided by 179?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108.99692 - -109. What is g rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + ((6*sqrt(1088)*1 + sqrt(1088))*-2 - (-1*sqrt(153)*-4)\/(sqrt(1089) + sqrt(1089)*2))**2.\nAnswer: 232727822\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -3*u**3\/2 - 9*u**2\/2 + 18*u. Let c be b(-15). What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -11*n + n. Suppose -3*x - 4*u - 28 = 0, 2*u + 7 = -5*x - 21. Calculate the smallest common multiple of 2 + 9 - (x - (1 + -1)) and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44382.3612 rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -19. What are the prime factors of (-32)\/i*(-30)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, -1, 5, 7, 39, 93 in increasing order.\nAnswer: -24, -1, 4, 5, 7, 39, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(2448)*3 - sqrt(2448))**2 - (-3*(sqrt(2448) + 2) + sqrt(2448)))*4.\nAnswer: -672*sqrt(17) + 39256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1824 (c) 0.5 (d) -0.1 (e) 1 (f) -101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 13*m + 99. Let i be j(-6). Let z(d) = -d**3 - 16*d**2 - 16*d - 8. Give z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215188 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-65)\/(-150))\/(-13)*-3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {n: 1, x: 4, z: 2, c: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 13. Let k = r + -26. Let a be (k - 39\/(-9)) + (-10)\/(-6). Solve a*y + 31 = -y + 4*b, 5*b = -3*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351036 divided by -1791?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 - 14*b + 30. Let m(r) = r**2 + 3*r - 6. Let l(i) = 2*a(i) + 11*m(i). Let s be 5*-1*4\/5. Let u be l(s). Is -8 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*l - 4*o = o - 6780, -25 = -l - 5242*o + 5237*o for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324098 is divided by 17765.\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748062.\nAnswer: 2, 3, 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2704 + -2.7296. What is the smallest value in -3\/22, -1\/2, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8220 or 5429?\nAnswer: 8220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3821938, -3821937, -3821936, -3821935, -3821934, -3821933?\nAnswer: -3821932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2810 and 11818860?\nAnswer: 11818860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(360)\/(sqrt(8)*-3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 72072*b - 72069.\nAnswer: -3*(b + 1)*(b + 24023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76012615 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49389.671 and -0.5.\nAnswer: -24694.8355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + sqrt(153)*1)\/sqrt(3))\/sqrt(3) - (4 + sqrt(17) + 1)*5) + 3 + 4.\nAnswer: -18 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1328.2 + -1328. Are 1\/494 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + m**2 + 3)*(-4 + 4 + 2*m) + m**3 - 2*m**3 + 5*m**3)*(-1 + 1 + 3).\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5073*r**3 - 12*r**2 + 24*r - 12. Let g(n) = -476860*n**3 - 1130*n**2 + 2260*n - 1130. What is -6*g(j) + 565*o(j)?\nAnswer: -5085*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -61560.91 and -0.00754757.\nAnswer: -61560.91754757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**4 - 1\/60*b**5 + 1\/3*b**3 + 0*b - 3*b**2 + 0. Find the first derivative of w(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, d: 3, f: 3, g: 1, u: 1, n: 1}. Give prob of picking 3 f and 1 u.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 105459557 and 105459551 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -4360 + 4348. Which is the nearest to 1? (a) 0.04 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 27*n + 1. Let u(q) = 2*q**2 - 14*q - 1. What is 3*l(w) + 5*u(w)?\nAnswer: 4*w**2 + 11*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10611*q**3 + 4*q**2 - q - 6. What are the prime factors of c(-1)?\nAnswer: 2, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2)\/4 - (5 + -3). Let z(c) = c**2 + c. Let k(h) = -h**3 - h**2 - h - 10. Let a(l) = x*k(l) - z(l). What is the derivative of a(t) wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120220211 (base 4) in base 3?\nAnswer: -1200002012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 32 = -z, 0*g + 5*g - 3*z + 23 = 0. Let q = 7 + g. Let a be (q - 3)*(-40)\/24. Solve 4*b + 1 = a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528503 is divided by 1904.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {t: 1, j: 7, y: 10}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*b - 181, -19*b + k = -23*b + 145. Calculate the lowest common multiple of 60 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19390410 to the nearest integer?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -1 + 6 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(2299) + 5)*-5)**2.\nAnswer: 52800*sqrt(19) + 934000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*i**4 + 3*i - 5*i - 2*i**2 + 3 + 33*i**4 - 2*i**3 to s*i**3 + p + f*i + t*i**4 + y*i**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/194251 or 1?\nAnswer: 2\/194251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyynnyy. What is prob of sequence yyyy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*(sqrt(65) - (1*sqrt(65) + sqrt(65))) + sqrt(65) + sqrt(65))\/(-4*sqrt(15)\/sqrt(3)))**2.\nAnswer: 3*sqrt(13) + 49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -92 + 1e?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -67. Suppose 2*c = w - 0*w - 13, -4*w + 52 = o*c. What is the remainder when 38 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 8*z**2 + 3*z - 5. Let s be t(10). Suppose 2*l = 7*l - s. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7277 and 0.2.\nAnswer: 7277.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = 12. Let q be s\/18 - 43\/(-9). Solve -q*p + 0*p = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -77?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2003 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)\/z)**(2\/7)*z\/(z*z**(1\/9))*z*z**(2\/21)*z*(z\/(z\/(z*z**1)))**(-28)\/(z**(-2\/3)\/(z*z**5*z)) assuming z is positive.\nAnswer: z**(-20530\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 2*i - 871 - i**2 + 4*i + 12*i**3.\nAnswer: 12*i**3 + 2*i**2 + 6*i - 871","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 5, v: 5, a: 4, h: 1}. What is prob of picking 1 x and 3 e?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/53 and 19.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -631 or -636?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -421 in decreasing order.\nAnswer: 10, 2, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -98 + -6 - (-19 + -25)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53280?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = 0. Let r be (-4 - l)*9\/(-12). Let k(d) = 2*d + 4. Is k(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 - 1)*(27*u + 8*u + 44*u)*(-2*u**2 + 0*u**2 + 4*u**2).\nAnswer: -316*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17135954 to the nearest integer?\nAnswer: 4140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h + 5*h + 5 - 18 + 0*h wrt h.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 0 + 38 + 6504*i.\nAnswer: 6504*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 83. Let g be k\/(-2) - (2 - (-56)\/(-16)). Suppose 10 = g*b - 20. 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: Round 83.936622 to one dp.\nAnswer: 83.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36500 and 82500.\nAnswer: 6022500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**3*f))\/f**(2\/11)*f\/(f**(-3)*f)*(f**2*f)\/f assuming f is positive.\nAnswer: f**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293 + -97. Which is smaller: 198 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**3 - 9*g**2 + 12*g - 2. Let j be t(1). What is the second biggest value in 2, j, -4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5997*d - 23704. Calculate h(-4).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53962 is divided by 89.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5*b + 30*b + 2.\nAnswer: 25*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1387158944 and -8040.\nAnswer: -1387166984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 182*i - 107. Determine j(-7).\nAnswer: -1528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/348 + 1\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 622440 and 17290?\nAnswer: 622440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.47.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -486?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 734, 707, 678, 647, 614?\n\"Answer: -o**2 - 24*o + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -6*q**3 - 18*q**2 - 49*q + 5. Let i(s) = 6*s**2 + 12*s + 16. Let k(n) = -3*f(n) - 8*i(n). Is k(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -66, -9, 2, 0 in descending order.\nAnswer: 2, 1, 0, -9, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 7. Let y be g(9). Let f be 4\/(-5)*((-25)\/y + 0). Calculate the remainder when (616\/f - -2) + 3\/(-5) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) -0.0594 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45993 - 7100820.\nAnswer: -7146813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 11*w**2 - 11*w - 8. Let x be m(-10). Is 9.4 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -1\/2 (c) 24414.5 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -14. Let o = l + 15.99993. What is o rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 + -217. Does 22 divide (28\/(-12))\/7*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/7)\/t**(-2\/11))**11*(t**4\/((t**4\/t)\/t*t))\/(t**3\/(t**(-6)*t)) assuming t is positive.\nAnswer: t**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 0)*11\/(-22). Suppose -5*q = 3*s - 4*s - 42, 266 = -5*s - w*q. What is s rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/10)\/((-6)\/(-20)). Suppose 40 = 3*z + j. Let a(o) = 2*o - 10. Let x be a(z). Solve 0 = 5*i - 4*g - x, -i - 2*g + 4 + 0 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -936 and 377.\nAnswer: -352872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:58 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 15*v - 12. Let s be o(16). Suppose -s*u = -627 - 133. Suppose -3*w + 2*b + 149 = 0, 3*w + 6 = -5*b + u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 12) to base 7.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - x + 0*x)*(-3 + 5 - 3) + (-5*x + 15*x + 17*x)*(5 - 1 - 1)*(-4 + 2 + 8) as u + v*x and give v.\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(92\/28 + -3). Solve 0 - u = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**6\/f*f\/(f\/f**0*f))**(3\/8) assuming f is positive.\nAnswer: f**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = 5*j, -11 + 1 = 5*j. Let h(n) = n**2 - 3*n + 3. Let i be h(5). Suppose q + i = 3*y. What is the greatest common factor of 187 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13704 is divided by 6721.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -24 - (2 - -9 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5245*u - 5245*u + 2 - 6*u**2 in the form q*u**2 + o + l*u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.9706204 and 9.\nAnswer: 53.7355836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, 102138, 20, -1 in increasing order.\nAnswer: -1, 2, 3, 4, 20, 102138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + n**2 + 0*n**2 + 3*n + 4*n - 1. What is v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*h = 4*n - 14, -2 = 2*n + 4*h. Let s(g) = -g + 8. What is the lowest common multiple of s(n) and (-285)\/(-20) + (-1)\/4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p**2. Let b = -8 - -9. Suppose 2*g - 3 - b = 0. Let k(u) = u**g + 6*u - 6*u. Give c(k(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -13 + (-17 - -15 - -19)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.159602688 and -227399?\nAnswer: 227399.159602688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -101100100111011?\nAnswer: 101100101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 - 621*m**3 - 26781*m**2 + 27405*m = 0. What is m?\nAnswer: -145, -63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291 + 305. Let h be 9\/(1\/((-4)\/(-3))). Solve g = 2*o - v - 3*v, 0 = 4*o + 2*v + h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 + 0*l**5 - 6*l**5 + (57*l - 68*l - 29*l)*(2*l**4 - 4*l**4 + 0*l**4).\nAnswer: 78*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 31*b**4\/4 - 26*b**3 - 4. What is the third derivative of n(z) wrt z?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-70))\/(11\/(-990)*12)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 3291\/(-11)) + (-30)\/165.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0209599328 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/19, -0.3, 3?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*m**4 + 2 - 77*m + 21*m**4 + 52*m + 28*m**3 + 18*m**4 + 3*m**3 to the form d*m**3 + s*m**2 + g*m**4 + w + j*m and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32566832, -32566835, -32566838, -32566841?\n\"Answer: -3*s - 32566829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and 23\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 25*w - 23940 = 0. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by 90\nAnswer: -191\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1978 - 1974. Solve 0 = -5*n - 5, -o = -u*o + 2*n + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561160689 to the power of 1\/2, to the nearest integer?\nAnswer: 23689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3283 + 154305\/6566. Let l = 4409\/33 - 400\/3. Find the common denominator of l and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 180500*n**2 + 1091751948*n - 1782609516252.\nAnswer: 4*(n - 38303)*(n - 3411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6 - 23*a + 1 + 22*a. Let u be y(-7). Solve 0 = 6*w - u*w + 2*d + 18, -3*w + d = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132452 is divided by 179.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919 a factor of 524849078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -451*h**2 - 31*h - 4. Let g(p) = -900*p**2 - 72*p - 9. Determine 7*a(z) - 3*g(z).\nAnswer: -457*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 20*a = -92048000. Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106945701 to the nearest integer?\nAnswer: 10341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -34*w + 4. Let z be c(-2). Let l be ((-308)\/(-8) + -3)*2. Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -25 + (34 + -34 - (-1 + 11))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 452 - -227. Calculate the highest common divisor of 388 and q.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275)*-1 - sqrt(275)))*4)**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + r = -2*k + 4, -2*k + 12 = 3*r. Suppose -1 = -3*a + 5, k = 3*b - 4*a + 5. What is the third smallest value in -0.5, -1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 2*n**3 - 2*n**2 + n**3 + 62*n to the form s*n**2 + k*n**3 + y + t*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*r - 4*o, r + o = -4*r + 9. Solve 2*c - 12 = -r*p, 4*p = 3*p + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/355 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 19. Let f be (-2 + 2)\/(j - -1). Let b(a) = -a**2 + a + 6. What is b(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0883 + 0.9117. What is the nearest to -2\/3 in -18\/29, 0, j?\nAnswer: -18\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*u - 35, -4*f + 30 = 2*u - 0*u. Suppose 4*r + 15 = d, -d = -5*d - 20. Put f, r, -4, -3 in descending order.\nAnswer: f, -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4708*t**2 + 41332*t**2 + 1.\nAnswer: 36624*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 251 + -256. Let c(h) = 9*h**3 - 5*h**2 - 5*h - 365. Let v(q) = -5*q**3 + 2*q**2 + 3*q + 183. Let n(u) = p*v(u) - 2*c(u). Differentiate n(x) wrt x.\nAnswer: 21*x**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 58 = m + 3*m, 2*r - 4*m - 50 = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 574*n + 12053. Let j be t(-21). Let a(u) = -33*u**2 - 4*u - 3. Determine a(j).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292 divided by 5\nAnswer: -292\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*p - 12. Suppose 40 = 10*k - 2*k. Suppose 4*g - 156 = p*t, k*t - 3*t = 5*g - 178. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7999\/1703787*(-71)\/(-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217613 is divided by 195.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/22 and -61\/2912.\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35210444 (base 8) in base 10?\nAnswer: -7672100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 908\/154 + (-2)\/(-7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 s when four letters picked without replacement from {r: 11, s: 3}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.16 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {a: 1, f: 11, k: 2, x: 2}.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7902147, 15804293, 23706439?\n\"Answer: 7902146*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 1581701846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18307943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2, g = 5*g - 4*n + 244. Let m = 65 + g. Let a be 1 - (1 + 13)\/(m + -5). Solve 2*b + 2 = -a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865800, -865799, -865798, -865797?\nAnswer: -865796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35\/11, -3\/2, -1?\nAnswer: 35\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 5*k**2 - 5*k**2. Let x(s) = 8*s**2 - 57 - 52 - 54 + 163. Determine x(b(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.899798 litres to millilitres.\nAnswer: 8899.798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k - 40 = 62*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352465, 1409881, 3172315, 5639827, 8812477, 12690325?\nAnswer: 17273431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3089.9999971062 - -3090. What is s rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*m**4 - 820524*m**3*y + 44507823*m*y + y wrt m?\nAnswer: -348*m**2 - 4923144*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 20 - 30 - 23 + 83 + 59*j to y + f*j and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -58\/3*p**3 + 0*p**2 - 25 + 0*p**4 + 0*p**5 + 0*p - 26\/3*p**6. Find the third derivative of q(a) wrt a.\nAnswer: -3120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13209 and 2142?\nAnswer: 79254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 + q**2 + 5*q**2)*(-q + 6*q - 4*q)*(-1550*q - 1012*q - 1254*q) to i*q**4 + x*q**3 + y*q + r + s*q**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a decade in months?\nAnswer: 4860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 + 3*q - 2. Let g be j(3). Suppose -g*h = -339 - 263. Suppose 4*s + 46 = h. Calculate the highest common factor of 70 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -620 + 44*f**3 + 320*f**3 + 115*f**3 + 239*f**3 - 297 wrt f?\nAnswer: 2154*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-25)\/(-10))*(70 - 68)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 3. Let n be g(4). Let y = 0.061 - -6.439. Let w = 6.7 - y. What is the nearest to n in w, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, -1, 2\/229, -45\/2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*y + 24 = -4, -3*c - 3*y + 39 = 0. Suppose -4*z = -z - c. Suppose -z*s - 2*s + 5*t = -130, 0 = 4*t + 16. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1146504, -4585857, -10318112, -18343269, -28661328, -41272289?\nAnswer: -56176152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 4. Determine r(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 66722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = 32*h - 2. Is 27 a factor of (-45280)\/(-840) + h\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 1. Suppose -4*t - 5*x = -t + 7, t = 3*x + 7. Let w(i) = -2*i**3 + 2*i**2 + 3. Determine t*w(h) - 3*v(h).\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5820200 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -13, -14, -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2908 or -2914?\nAnswer: -2914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5 + 1414377*j**4 - 14144106*j**3 - 16972854*j**2 + 14144103*j + 15558477 = 0.\nAnswer: -471469, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/2 + -7\/6. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v - 49*v**3 + 51*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -4*n - 4*p, -5*n - 2*p = 7. Let v = -6 - -7. What is the third biggest value in -2\/3, -3\/34, v, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1709 and 326.83469.\nAnswer: 2035.83469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or 1?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from nmntnkknkn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*r + 1, p - 3*r - 12 = -4. Let c = p - -17. What is the highest common factor of c and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213394 is divided by 210295.\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1168.741 to the nearest 10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -34 - (509 + -500)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(1 - 6\/4). Let p be 10*((-10)\/(-4) - 2). Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*136\/(-85)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h + 2. Let q be f(2). List the prime factors of ((-13)\/3)\/(6\/q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -1. Let k be (x\/2)\/(2\/4). Suppose 0 = -4*o - k*r + 86, 0 = 5*o + 4*r - 28 - 84. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*n**5 + 0*n + 2\/5*n**2 + 4\/5*n**4 + n**3.\nAnswer: n**2*(n + 1)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - 2197*q**3 + 2*q**2 + 2195*q**3 + 10*q**2 in the form n*q**3 + h + p*q + r*q**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/13 - 134*b**3\/13 + 514*b**2\/13 - 634*b\/13 + 252\/13 = 0. What is b?\nAnswer: 1, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1852 + -1846. What is the nearest to g in 3, 0.4, 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -1\/3*x**3 - 6*x - 2*x**2 + 9. What is p(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/20)\/(6\/(-100)). Suppose 5*p + y = -0*p. Let i be p*((-35)\/(-10) + -4). Solve d = i*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/7 + 2\/35*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 339, -18, 14, 10, -1 in descending order.\nAnswer: 339, 14, 10, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 7076989452.\nAnswer: -7076989452.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -862 and 0.2.\nAnswer: -172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376 and 207928.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbu when four letters picked without replacement from buxxbuuuxububab.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/246140 and -151\/369210.\nAnswer: 738420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 4*o**2 + 5. Let t(i) = 17*i - 20. Let h(j) = 4*j - 5. Let w(k) = -26*h(k) + 6*t(k). Let m be w(7). Give n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23 = 5*w, -2*b - 11 = -5*b - 5*w. Let u be b\/(-4) + (4 - 2). Let l be 3 + -2 + 4 + u. What is the closest to 2 in 3, -2\/3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487683.4 litres in millilitres?\nAnswer: 487683400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -92173*h - 645242. Determine c(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7207b + -11a?\nAnswer: -72198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 5*d - 3. Let a be m(-4). Let v be 12\/(-40)*(-6)\/a. Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 9*z**2 - 11*z + 14. Suppose 60 = 5*u + 2*n, 2*u = 4*u - 4*n. Let r be f(u). Sort -1\/5, r, -3\/4 in decreasing order.\nAnswer: r, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 29*y + 7. Let d(t) = 7*t + 2. Let c(h) = -9*d(h) + 2*v(h). Let q be (-1)\/(2\/4*-2). Let i(b) = b + 1. What is q*c(g) + 3*i(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64745*b - 48137 with respect to b.\nAnswer: -64745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 175. Let g(n) = 6*n + 520. Let w(r) = 6*g(r) + 17*j(r). Suppose 8*t = 3*t. What are the prime factors of w(t)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/3*-1 + 2\/(-6). Suppose 0*u - m*u - 6 = 0. Which is bigger: u or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:30 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*o = 12 + 2, -444*o = -2*k - 448*o + 42 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003561959 rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5 + 7. Let y be (-1 + (-14)\/w)*3. Sort -2, -4, y in decreasing order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 20. Let x = -0.89 - -0.09. Let n = x + 1. Sort n, f, -3\/4 in increasing order.\nAnswer: -3\/4, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/30569 - -2597669\/5319006. Let t = s + 68\/29. Find the common denominator of 3*((-1)\/8)\/(84\/(-592)) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/3 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20966141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -1.6. Which is the nearest to 2\/3? (a) n (b) -3\/8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:13 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14*-35*(-65)\/2450\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9539?\nAnswer: 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 - 101. Sort -6, 2, c.\nAnswer: -6, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 17. Let q be g(0). Suppose 8*k + 15 = 471. Let m = q + k. Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21968495 to the power of 1\/2, to the nearest integer?\nAnswer: 4687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f + 9. Let s be 4*(-1)\/2 - -7. Let q be y(s). Suppose 3*i - q = 56. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/35)\/f**(-2)*f**(-9)\/(f*f**(4\/7)))**48 assuming f is positive.\nAnswer: f**(-14496\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 1\/6 (c) 0 (d) -0.13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -84.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**2 + 10*h - 12. Let q(y) = -y**2 + y - 1. Determine d(a) - 10*q(a).\nAnswer: 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20*z + 8. Let d(y) = -y - 9. Let j(c) = 2*c - c - c + 8 + 2*c. Let h(t) = -5*d(t) - 6*j(t). Determine 11*h(q) + 4*u(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*1\/2 + -1. Suppose 2*a - 4*a = 3*s - 13, 0 = -r*s - 2*a + 16. Suppose -6*h = -20 - 28. Solve h = s*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 8, g: 2, m: 4}. Give prob of picking 1 f and 1 p.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 5, -505, -5 in descending order.\nAnswer: 5, -5, -25, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x + 2\/7*x**3 + 0 - 1\/21*x**4 - 26*x**2 - 1\/105*x**5. Factor q(j).\nAnswer: -4*(j - 1)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2 - 131*u - 9. Give i(-18).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 4. Suppose -2*v - 2*z - 2 = 0, 3*z + 0 - 1 = -2*v. Let m(h) = -6*h - 3. Give v*r(i) + 3*m(i).\nAnswer: 2*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0 + 1\/12*f**4 - 5*f - 1\/2*f**2 - 1\/6*f**3. Let g be b(1). Is -1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 17, e: 2}. Give prob of sequence eqq.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (23\/23)\/(3*(-44)\/(-24))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(1*sqrt(6)) - (sqrt(180) - sqrt(5)))**2 + -4 + sqrt(30)\/(sqrt(18)\/sqrt(3)))*5.\nAnswer: 5*sqrt(5) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6506 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - ((sqrt(132) + 3*sqrt(132))*-1 + sqrt(132) + sqrt(132) + sqrt(132))) + (-3*sqrt(132) + sqrt(132))*5 + sqrt(132))\/(3*-1*sqrt(972)*4) + -4.\nAnswer: -4 + 7*sqrt(11)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6708411, -6708401, -6708391, -6708381, -6708371?\nAnswer: -6708361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34\/(-8))\/((-155)\/4960). Let o(d) = 7*d + 1. Let m be (2\/4)\/((-5)\/(-10)). Let k be o(m). Calculate the highest common divisor of k and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1629\/497 - 4\/497. Suppose -16 = -69*t + 77*t. What is the common denominator of s and -3*(-68)\/(-108)*t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Suppose 0 = -5*s + 2*u + 1, 0 = t*s + 4*u + 16. Is -109*(s - (3 - 3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8835.31 rounded to the nearest ten?\nAnswer: -8840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2613 is divided by 432?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 237 + 77 = 0. Let t be (-262)\/(-131) + (-2)\/x*7. What is the fourth biggest value in -0.1, -4, t, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + ((-3)\/1 - 282\/(-28)). Let u = 5353\/1050 - s. Put 0.6, -5, u, 1\/4 in decreasing order.\nAnswer: 0.6, 1\/4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243\/19, 2, -4, -3, 0.\nAnswer: -4, -3, 0, 2, 243\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**2*m**3 - 180491674*h**2 - 1797301*h*m**4 wrt m?\nAnswer: 18*h**2*m**2 - 7189204*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0901 - -0.1221. Let t = -4.9 - -7.9. Which is the closest to 0? (a) t (b) -2 (c) g (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316 + -297. Suppose m*p - 169 = 18*p - 4*s, 0 = 2*p - 2*s - 368. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -54.5. Let c = t - -6. Let w be -1 + 3 + (-24)\/10. What is the second smallest value in c, w, -33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(340641\/10017 + -34).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.258 (b) 928\/5 (c) -1 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*j - 114*j + 1020 = 78*j. What is the nearest to 1\/4 in -0.01, -3, -0.3, j?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -1.7. What is the nearest to 1\/2 in p, -0.1, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1584) - sqrt(1584)) + sqrt(1584) + 5 + sqrt(1584) + sqrt(1584))*2 + 3)**2*3.\nAnswer: 5616*sqrt(11) + 171579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68) + 3)**2 - (sqrt(68) + 1 + -1) - (-4*(-4 + sqrt(68))*2 + 4)**2.\nAnswer: -5340 + 1198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/54 and 191\/47066166.\nAnswer: 141198498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -3*j - 4, -2*j - 4 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 5 (c) 2\/5 (d) -19 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*(0 + 9))\/(870 - 867))\/(9\/(-339))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 1 - 1)*(68*l**2 - 991 + 991) + 12*l**3 + 184*l - 184*l to the form p*l**2 + s*l**3 + m*l + j and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379126, -758251, -1137376, -1516501, -1895626, -2274751?\nAnswer: -2653876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 4*u**2 + 10*u - 1. Let w be r(-2). Solve -2*j - 4 = 2*d - 0, d + 2*j + w = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:13 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63653.\nAnswer: 53, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a. Let t(i) be the second derivative of -i**4\/6 - 4*i. Determine t(m(j)).\nAnswer: -288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 654 - 641. Let n(b) = 2*b - 22. Calculate n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*0.2\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 79 - 40 + 204*x - 3531*x - 39. Let u(h) = 2*h**2. Calculate u(j(q)).\nAnswer: 22137858*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/25 + -68\/225. Let q = 364406 - 364411. Let h = 1.2 - 1. What is the nearest to i in 0.3, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.570755 millennia in years?\nAnswer: 7570.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/150 and 29\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 8 - 5 = -4*i, 3*i + 2 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-327)\/4)\/(12\/(-16)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128010 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*v**2 + 5*v + 3*v**3 - 1 - 365*v**2 + 730*v**2 + 13*v - 2*v**3 in the form s*v**2 + j*v + a*v**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-1)\/(2\/(-3))*(-3)\/72*68.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14659 - 13510. Calculate the remainder when z is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(119)*2)\/sqrt(7))**2 + sqrt(17) + (sqrt(2448) + 2 - sqrt(2448))).\nAnswer: 4*sqrt(17) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let q be i(-1). Let o be (-4 - -3)\/(q\/(-45)). Let p = -11 - o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1176)\/(-70) - 15)*(6 - 1). Suppose -3*m + b = -45. Calculate the lowest common multiple of m and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(700) + -3*(sqrt(700) - sqrt(700)*2))**2 + 4 - (-4*sqrt(700) + -3 - (sqrt(700) + (4*sqrt(700) + sqrt(700))*-2 + sqrt(700))**2).\nAnswer: 40*sqrt(7) + 56002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 22595.\nAnswer: -9\/22595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3 + 0*n**2 - 2 + n**2 - 7*n + 1. Is r(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -939 - -977. Let z(t) = 2*t**3 + 4*t**2 - 3*t. Let u be z(2). Let c = 48 - u. Calculate the lowest common multiple of c and j.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 5. Let o(f) = 4*f**2 + 24 + f**2 - f**2 + 5*f**2. What is 5*o(m) - 24*u(m)?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 35*y. Let a(x) = 5*x**2. Calculate a(j(v)).\nAnswer: 6125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196144*x**3 + 139944*x**2.\nAnswer: -1176864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -c - 9. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, -11, -137, -387, -803, -1427, -2301?\n\"Answer: -7*b**3 + b**2 + 2*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51765 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w - 541. Let l(t) = -3*t. Give y(l(v)).\nAnswer: -15*v - 541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-39)*(-3)\/10*-5*14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-30)\/((o\/o**(-6))\/o**(-1\/6)) assuming o is positive.\nAnswer: o**(317\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 501, 496, 489, 480, 469, 456?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaqagwaee. What is prob of sequence awaq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11002*n + 11003*n = -4. Sort 5, -1, 3, n in increasing order.\nAnswer: n, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/17 - 76*l**2\/17 + 328*l\/17 - 336\/17 = 0. What is l?\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - i**2 - 4*i**2 + 3*i**3 to s + v*i**2 + k*i + w*i**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.54 + 43.46. Let u = x + -46.2. Is u at most as big as -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**(-2\/51)*u**11*u**(-5))**(-12\/7) assuming u is positive.\nAnswer: u**(-3664\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1880 and 1055056.\nAnswer: 5275280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/23)\/(d**0*d*d**(4\/7)))\/(((d\/(d\/(d*d*(((d\/(d\/(d**1\/d*d*d)))\/d)\/d)\/d*d*d)))\/d**(-2\/7))\/d**(-18)) assuming d is positive.\nAnswer: d**(-3687\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a + 36. Let y be 177\/5 - -5*8\/(-100). Suppose 0 = 4*r + g - 35, 0*g - 5*g = -r + y. Is 14 a factor of j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -22*x + 33. Let m(t) be the second derivative of 1\/6*t**x + 0 - 2*t + 5\/2*t**2. Differentiate m(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*f + 23, -3*f = -3*z - 0 - 12. Let m be 5\/z + (11 - 15). Solve -m = -2*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-1680)\/245)\/(-48).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/((-4)\/(-2)))\/1. Let q(l) = -87 + 100 - l**3 - l - 2*l**2 + l**2. Calculate the remainder when 49 is divided by q(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12416456.97 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4767066\/35 - -136189. Let g = j - -93\/7. Let z = 716 + -718. What is the nearest to z in g, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11981635.\nAnswer: 5, 41, 211, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgg when three letters picked without replacement from tthhthgthhttthgtth.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)\/h)**45\/(h**(1\/11)*h**0*h) assuming h is positive.\nAnswer: h**(-606\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 437065104 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, z: 2, f: 3, g: 1, d: 1}. What is prob of picking 1 n and 1 f?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*j - 83 = 0, x + 3*j - 23 = -0*x. Suppose -2*f = 3*y, y + x*f - 30*f = 5. Solve v = y*n + 6, 4*n = -6*v + 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**4 - 67*l**3 + 209*l**2 - 9*l - 279. Let b(g) = g**2 + 5*g - 1. Let c(u) = -3*b(u) - 3*p(u). Factor c(z).\nAnswer: 3*(z - 2)**2*(z + 1)*(z + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1167, -1140, -1109, -1074, -1035, -992?\n\"Answer: 2*u**2 + 21*u - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458 - 400 + 4*u**2 - 6*u**2.\nAnswer: -2*u**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6075 = -744*l + 30627 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 3*c + 6*c)*((-4 + 0 + 3)*(2 + 0 + 0) - 1 + 17 - 5) in the form g + o*c and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*a - 96*a + 72*a - 3*a + 5*a - 3*a + (-1 - 4 + 7)*(6*a - 3*a - 2*a) + 4*a + 3*a - 5*a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose -r*o - 13 = -25. Suppose 0*d - 4*d = -o*d. Let u(s) = s**2 + 1. Determine u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217852065 divided by 3\nAnswer: -72617355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10910051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -830 (c) -1\/3 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37552469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 0. What is the highest common divisor of f and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2183076 and 168?\nAnswer: 4366152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4090*s - 53056. Determine l(-13).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*a + 2. Let i = -2 + a. Let h(v) = i*v - v**2 - 4*v + 4*v. Let f(d) = -9*d. Calculate h(f(x)).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204175436 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2526923, -2526871, -2526785, -2526665, -2526511?\n\"Answer: 17*n**2 + n - 2526941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280758 + -57873?\nAnswer: 1222885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39062702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 4, -5, 3, 1 in decreasing order.\nAnswer: 4, 3, 1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.413858 - -0.413. Round i to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844910 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 177875 - 531657 + 177326 + 179515)*(v**2 - 3*v**2 + 3*v**2).\nAnswer: v**3 + 3059*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/12 and -6 - ((-2975)\/(-18))\/(-17).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in 0.02, -0.5, -4\/5, 29?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100.18 - 1.82. Let z = -102 - a. Put 1, -3, z in decreasing order.\nAnswer: 1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:04 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1834 = -436*n - 2207 + 9529 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -13*i + 21*i + 70. Which is the third smallest value? (a) -3 (b) 67 (c) 4 (d) 1 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -13*m + 2173. Calculate the remainder when m is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*i**2 - 14\/3*i**4 + 0*i + 0 - 32\/3*i**3.\nAnswer: -2*i**2*(i + 2)*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + 4. Let y(h) = 4*h - 5. Let n(l) = 5*q(l) + 4*y(l). Let b(j) = 9*j - 33*j - 15*j. Give b(n(i)).\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 11. Let o = 15 + -1. Let l be v(o). What is the second derivative of k**2 + 23*k + 0*k**2 - l*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 0 in decreasing order.\nAnswer: 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/20160 + r**7\/1008 - r**5\/60 - 3*r**2. Let t(o) be the third derivative of w(o). Give t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1190 - 1193. Sort 8\/9, 0.26, s in decreasing order.\nAnswer: 8\/9, 0.26, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from eezxexzzezzzzzeez.\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*t - 35*t + 9*t)*(0*t + 4*t - 3*t - 2) as a*t**2 + g + y*t and give y.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28082?\nAnswer: 2, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 4\/5 (c) 0.7 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -3. Let b = r - -19. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qby when three letters picked without replacement from yqmmffbe.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = 4*d. Calculate the smallest common multiple of 14 and (8\/(-10))\/(d\/75).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17305099*i + 2*i**2 + 17305099*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, 9 in ascending order.\nAnswer: -4, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 3, l: 2, v: 5}. What is prob of picking 2 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 225 - 171. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.13171mm to kilometers.\nAnswer: 0.00003613171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:37 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. Let q = 25.165 - -0.035. Let y = 25 - q. Do y and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.949007 to 2 dps.\nAnswer: -2.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 a when four letters picked without replacement from jjjaajjjajajaj?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1362 and 19\/254.\nAnswer: 172974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81216 divided by -23.\nAnswer: 81216\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*h**3 + 53*h**3 + 16*h**3.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2 - 16336730*l - 13344437354645 = 0.\nAnswer: -1633673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38162.\nAnswer: 2, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32050, -64102, -96158, -128218, -160282?\n\"Answer: -2*i**2 - 32046*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2237 = j - 2231, 0 = -3*j + 3*z + 18 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 4. Let m be 16\/6*(-18)\/(-12). Let t be (a\/10)\/(m\/(-10)). Sort -1\/7, 2\/7, t in decreasing order.\nAnswer: 2\/7, -1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*s = 54*s + 6. Let b(z) = -4*z**s + z**2 + z**2 + 0*z**2. Let c(g) = 3*g. Calculate c(b(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240775*0.094.\nAnswer: -22632.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181.98 - 179. Let r = c - -0.02. Let h = -0.08 + 4.08. Put r, h, -3 in descending order.\nAnswer: h, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/3, -0.06, -61, -0.5, 0.5, -0.41, -0.11?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-21)*-9)\/(180\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 4. Let r(h) = 9*h - 12. Let i(k) = 17*a(k) + 6*r(k). Let b be i(3). Let s = -4 - -4. Solve 20 = -s*j - b*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 - 1.9. Let z = 1520 - 1525. What is the nearest to 33 in z, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-3 - -7) - -5. Suppose -4*j + 44 = 3*w, 0 = 2*w - 4*j + v*j - 6. What is the highest common factor of w and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 9*p = 2*p - 96 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/4270 and -163\/12810.\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2059471, 2059642, 2059931, 2060344, 2060887?\nAnswer: 2061566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -330, -3\/2, -4, -3, 4\/19.\nAnswer: -330, -4, -3, -3\/2, 4\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*u - 15. Suppose -4*b + 12 - u = 0, -2*b = o - 28. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -657187873922.05200116 + 657188368288. Let m = -494366 + k. Let n = m - -0.052. What is n rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5418 divided by 748.\nAnswer: -2709\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/575 (b) 4 (c) -0.18 (d) -3 (e) -2\/7 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294060019, -294060021, -294060023, -294060025, -294060027?\nAnswer: -294060029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*v + 30, -v + 0 = -i - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2 + 6*i - 3. Let s be o(5). Let q(a) = 3*a**3 + 3*a - 3. Let r be q(s). Calculate the greatest common factor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141458430 to the power of 1\/2, to the nearest integer?\nAnswer: 11894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iaaiaiaiaaaaiiai?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/15210886?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-10)*((-8)\/28)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/185449 and 55\/67436?\nAnswer: 741796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18673 and 1140.\nAnswer: 21287220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 0 + (-3 - 1 + 2)*(-5 + 0 + 4))*(-4*z - 2*z + 5*z)*(-7*z + 10*z - 4*z) in the form q + u*z + m*z**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let x be p(2). Suppose -4*k + 352 = 4*r, 6 = 2*r - x. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 350 - -1708485\nAnswer: 1708835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -26004.25.\nAnswer: 182029.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/402605 or 1?\nAnswer: -2\/402605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 divided by -2?\nAnswer: -201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-3\/5)\/l))\/(l\/l**(-5\/7)))**(2\/89) assuming l is positive.\nAnswer: l**(62\/3115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3240 divided by 1080\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*f - 12, 4*h = -6*f + 3*f + 12. Suppose -u - 2*q + 48 = h, -6*q + q + 143 = 3*u. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5751 - -5747. Which is the third biggest value? (a) -2\/23 (b) y (c) 8 (d) 2\/7 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59705.04t to kilograms.\nAnswer: 59705040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 r when four letters picked without replacement from {r: 4, y: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -9)\/((-1)\/(-2)). Suppose 2*w + b = 2*a, 8 = 5*a - 4*w - 9. Solve 4*x - 4 = -4*v, 4*v + 4 = 3*x + a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55537, 55548, 55559, 55570, 55581, 55592?\n\"Answer: 11*h + 55526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-2\/23)*f*f*f)\/f)\/f)\/(f\/f**(-8)*f))\/(f**(-5)*f\/(f\/(f*f**4\/f*f))) assuming f is positive.\nAnswer: f**(-186\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**3*s**3 + 62623*g**3*s**2 + g**3*s - 8*g**2*s - 137*g*s**2 + 89*s**3 - 3 wrt g.\nAnswer: 30*s**3 + 375738*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ebeecbebbbbeebb.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 11*t**2 - t**4 - 2*t**3 + 16*t**2 - 40*t**2 + 4 + 15*t**2 to g + f*t + z*t**3 + p*t**2 + l*t**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -27030*d. Let n(c) = -16*c**2. Calculate u(n(b)).\nAnswer: 432480*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -27*n**2 - 19*n + 2. Let k(x) = 158*x**2 + 124*x - 13. Let r(i) = 13*d(i) + 2*k(i). Let l be (-4)\/8*(-5 + 3). What is r(l)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 - -91. Let h = 12 + a. Solve -2*u - h = -w + 3*w, 7 = -w - 2*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3272228362 divided by 3?\nAnswer: 3272228362\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (2 - 3) + 4. Let z = 6 - u. Solve -5*b = 3*w - 11, -8 = -z*w - 4*b - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, m: 2, g: 7}. Give prob of sequence wg.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixxb when four letters picked without replacement from {x: 3, b: 6, i: 3, g: 2, r: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 275.1 + -2643749112\nAnswer: -2643748836.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -3, 2, 8 in ascending order.\nAnswer: -3, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(32\/(784\/49))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 381801.8.\nAnswer: -305441.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + 52 + (-159 - -82).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -388.909 and 54?\nAnswer: -21001.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-13))\/o)**(-3\/43))**(2\/21) assuming o is positive.\nAnswer: o**(-26\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 11*f + 24. Suppose 105 = -13*x + 27. Sort x, 15, f.\nAnswer: x, f, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*b + 40*b + 2088 = 0. What is the greatest common factor of 29 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 2:44 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*p - 45. Suppose 303 = p*u - 13*u. Suppose 0 = -4*f + i + 83 + u, 4*i = -4*f + 184. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/2695 + -498\/2695. What is the nearest to -5\/11 in 1\/7, -0.8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 - 240*w**2 - 59*w + 3397. Give b(60).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (25 - 23) + 0 + 20\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**3 - 12*w**2 + 23*w - 21. Let z(g) = -7*g**3 - 13*g**2 + 24*g - 18. Let o(j) = -6*b(j) + 7*z(j). Is o(-21) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w - 2. Let t be y(-5). Suppose -5*i = -112 - t. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-26 + (12 + -11 - (6 - 5))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (6 - -5))\/(-2). Let b be ((-6)\/(-20))\/((-6)\/(-15)). What is the smallest value in i, b, 3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3781765.\nAnswer: 5, 13, 73, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212.9 + 210. Let s = 0.1 - w. Put -0.2, 0.4, 0, s in descending order.\nAnswer: s, 0.4, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/(-22) + 16\/(-88). Solve 3*w + 4 = 4*n + 19, 4*w - 20 = -k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2*z**2 - 292. Let i(y) = 2*y**2 + 3*y. Let s(f) = -6*f**2 - 8*f. Let n(v) = -8*i(v) - 3*s(v). Give j(n(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 22, 27, 38, 55, 78, 107?\n\"Answer: 3*b**2 - 10*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 19.7. Put t, 5, 1\/6 in decreasing order.\nAnswer: 5, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3604009 is divided by 128714.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38335 divided by -10?\nAnswer: 7667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/25 (b) 0.2 (c) -0.1 (d) -1751\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3528930 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 15 = 0. Let u(w) = 3*w**2 + 2*w - 2. Let v(o) = -4*o**2 - 2*o + 2. Determine b*u(d) + 2*v(d).\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let g be k(-5). Suppose s + g*s - 25 = 0. Solve -s*x + h = 27, 3*x + 0*h + 3*h = -9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(7 - (5 + -6 - -6)). Suppose c*f + 4*f + 4 = 4*t, 4 = -5*t - 4*f. Solve -3*j + 0*j = t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253 + -248. Sort -0.09, -0.3, l in decreasing order.\nAnswer: l, -0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010282959 rounded to seven dps?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906062 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0 + 0)*(4 - 3 - 3)*(5 - 1 - 3).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.448635991014 and -2.\nAnswer: -6.448635991014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - 0.01. Let u be (5 - 68\/6) + (-10)\/(-2). Let o = 12.5 - 12. What is the closest to 0 in o, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 25, -250, -1, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2772*z**3\/5 - 13858*z**2\/5 + 16642*z\/5 - 12\/5 = 0.\nAnswer: -6, 1\/1386, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38512, 77025, 115538, 154051, 192564?\nAnswer: 231077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54 and -2251419288.\nAnswer: -2251419234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2*r**3 + 3. Let c(d) be the third derivative of 0*d - 5*d**2 + 0 + 0*d**3 - 1\/12*d**4. Give c(x(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 5*d**2 + 7*d + 1. Let c be u(8). Let n = -248 - c. List the prime factors of n.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmvttmvmv. Give prob of sequence mvtm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22655571 (base 8) in base 11?\nAnswer: -2873502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71.5 + -504. Let z = c - -575. Let d = -6.3 - -1.3. What is the closest to -1\/4 in 0.4, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2247)\/2)\/((-6)\/8). Suppose 4*g = 8, -3*q = 3*g - o + 220. Is q a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(880)\/sqrt(5)) + (-1 + sqrt(11))*-6)**2.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvvpppp. Give prob of picking 1 p and 1 v.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19525327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 298 + 0*s**2 + 0*s**5 + 22*s**3 + 53\/3*s**6 + 0*s**4 + 0*s + 2\/7*s**7. What is the third derivative of b(c) wrt c?\nAnswer: 240*c**3 + 6360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -369 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174572.2 kilometers to millimeters.\nAnswer: 174572200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (5 + -4 + 3*(sqrt(432) - (sqrt(432)*-3 - sqrt(432)))*2 + -4)**2.\nAnswer: -2160*sqrt(3) + 388813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -9*c + 520. Let w(v) = -19*v**3 - v**2 - v - 1. Let l be w(-1). Let q = l + c. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5560 and 668120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 11. Suppose 5*s - 3*h = 27, 0 = m*s - 4*h - h - 26. Let z(r) = 2*r - 5. Let i be z(5). Solve 5*y + i*k = y + 7, -4*y + s*k + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r + 2, 2*r + 98 = 4*i. Let w = i + -29. What is the units digit of (4\/w)\/((-3)\/54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -173.\nAnswer: -4\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = h + 3*x, h + 3*x = 3*h - 15. Suppose h*m = -0*t - 3*t + 78, -3*t + 71 = -4*m. Solve -t = 8*f - 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/135 + 401\/540. Let n be 50\/18 + (0 - (4 - 1)). Which is the biggest value? (a) 3 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/6 + 8359*n - 50152\/3 = 0?\nAnswer: 2, 50152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -292*j - 2. Let y(x) = -37961*x - 261. Give 261*v(u) - 2*y(u).\nAnswer: -290*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-27)\/12)*(-12)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 12 + (5 + -12 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -4. Let k = -27\/2 - -14. What is the third smallest value in d, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1960*b**2. Let v(l) = -2*l. Calculate z(v(t)).\nAnswer: 7840*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3 - 27*o**2\/2 + 24*o - 511. Suppose s(b) = 0. What is b?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 34*a + 17. Let l(k) = 2*k - 4. Let c(h) = -b(h) - 4*l(h). Let m(n) = -1. Give c(r) - m(r).\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {j: 1, s: 12, r: 2, q: 2, w: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5355957?\nAnswer: 3, 1785319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*i - 3830789*g - 1962822*i**2 + i wrt i.\nAnswer: 2*g - 3925644*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13.2 (b) -18 (c) 4 (d) 1\/12 (e) -3 (f) -7.3 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1099950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*d - 2*c, 5*c + 23 = 4*d + 2*c. Suppose -s + 15 = d*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7260)*2 + (5*sqrt(540) - sqrt(60)))\/(sqrt(108)\/(-2*sqrt(576) - sqrt(576) - sqrt(576))).\nAnswer: -1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*n + 23 - 9 = 0, -5*s = 5*n + 10. Let a(g) = -1. Let d(m) = m - 7. Determine s*d(z) - 14*a(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = -26*i + 119 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*h, -4*h + 2*h = 0. Let l be (3 + 17\/(-5))*(-5)\/(-10). Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 22, 3, -3, 67, -7 in decreasing order.\nAnswer: 67, 22, 3, 0, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t - 49. Determine j(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - (-16)\/(-4)) + 1. Sort -4, z, -5 in decreasing order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjgg when four letters picked without replacement from {j: 2, g: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -36. What is the lowest common multiple of h and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f = 0. Let z be 46\/14 + (-4 - 52\/(-14)). Suppose 4*v - z*v = f. Solve -g + 3 + v = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 - 224*m - 90. Give b(-82).\nAnswer: -1894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 1 - r + 3)*(346*r**3 - 1174*r**3 - 848*r**3).\nAnswer: 1676*r**4 - 3352*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/(-15))\/((-1)\/5). Let d(n) = n**3 + 17*n**2 - 19*n - 4. Let h be d(q). Let r = h - -1. Is r < 79\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/12)*n*n)\/n)\/n*n*n*n**(-2\/3)\/n*(n\/(n**(-1\/2)\/n))**(-37) assuming n is positive.\nAnswer: n**(-369\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -441*t. Let w(s) = 10*s. What is w(a(i))?\nAnswer: -4410*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:01 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m - 3. Let x(d) be the third derivative of -5*d**4\/24 - d**3\/3 - 21*d**2 + d. What is 2*w(b) - 3*x(b)?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702*u = 418*u + 8089740. Is 135 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.0056. What is r rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*q - 288*q - 234*q + 860*q - 261*q.\nAnswer: -179*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - 0\/44?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3193 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -27 + 22 + -23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*s + 28, 8*s = 12*s - f + 45. Let l be (9 - 3)*(s\/(-6))\/1. Solve 2*n - l = -n + 4*u, -2*n - 5*u = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(5\/11)\/(j**(-2\/3)\/(j**(1\/7)\/j)))**(-1\/5) assuming j is positive.\nAnswer: j**(2\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 3039*u**2 - 3*u + 451*u**2.\nAnswer: 3490*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33947503537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 10*o**2 + 6*o - 12. What is y(-4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -8. Let o = m - -35. What is the greatest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/120 - k**5\/20 + k**4\/8 - 2*k**3\/3 + 4*k**2. Let s be q(-4). Find the first derivative of s - 3 + 3 - 4*l - 2 wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34336840.\nAnswer: 2, 5, 31, 27691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 27*c**2 - 26*c + 49. Let l be p(-26). Find the second derivative of 8*k**4 - 52*k**4 + 11*k**4 - 26*k**4 - l*k wrt k.\nAnswer: -708*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 149*a - 64. What is k(74)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -8*l**5\/5 - 119*l**4\/2 + 20*l**3 - 1643. Factor i(r).\nAnswer: -2*r**2*(r + 30)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 30 = 2*j. Let p(y) = 3*y**2 + 5*y - 5. Let t(d) = -4*d**2 - 6*d + 6. Let g(s) = j*t(s) - 6*p(s). Let l(i) = 10*i**2. Determine l(g(u)).\nAnswer: 40*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/11440 and -101\/30.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -18, 7, -64 in decreasing order.\nAnswer: 100, 7, -18, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2901572*z**5 - 8792250*z**2?\nAnswer: -174094320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.785 + -34. Let a = 171.215 + f. Let w = -171.00081 + a. Round w to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/8 - 2\/(-8). Suppose -n = -0*n - p. Let x = 12 - n. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3106, 984, -4 in ascending order.\nAnswer: -4, 3, 984, 3106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35065331766 + -2.69?\nAnswer: 35065331763.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8380574341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 234*p + 1811 + 365 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*o + 117*o + 140*o)*(1 - 6 + 2).\nAnswer: -252*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 997*r**2 + 35838*r - 1948. Determine f(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-512)\/(-12))\/((-1)\/3). Let f be (-4)\/14 + j\/(-252). Is f smaller than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896322815 to the power of 1\/3, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dueundudnfn. Give prob of sequence nn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 9*c**2 - 16970 + 92*c + 4*c + 16970.\nAnswer: -c**2 + 96*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4 - 2, -5*h - 2949 = 3*c. Let k be c\/(-28) - (-4)\/(-14). Solve -4*w - 5*a - k = 0, -2*a - 24 = 4*w + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 0.0220228336.\nAnswer: -0.9779771664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1394, 5, 4 in descending order.\nAnswer: 1394, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o - 5. Suppose -5*j + 19 - 4 = 0. Suppose -j*k + 0 + 15 = 0. Calculate s(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 - 2) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/(-1) - 19833\/2552 and 89\/12.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 27*v**2 + 78*v - 4. Let c be q(-3). Let s = -49 + 64. Solve 0*b - s = -c*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 22*y + 32. Let d be b(-23). Let w = 11 - d. Suppose -w*f - 2 + 26 = 0. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -13 + 17. Suppose 0*l + r*x = -l - 17, 0 = l - 5*x - 28. Suppose 2*m + 15 = l*m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30497997\/(-6) - ((-16)\/(-96) - (-2)\/6). What is s rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549 + 5951 = -300*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (-6657)\/(-105) - 1.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12254 (base 10) to base 4\nAnswer: 2333132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p + 0*p)*(0 - 2 - 2) - p + 0*p - 4*p to the form y*p + d and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*q + 201, 2*q + 2*t + 117 + 25 = 0. Calculate the remainder when 51 + 2 + (2 - 5) is divided by q\/2*2\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 3865425.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 418 + -5?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.23 - -1.24159. Round c to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 18.88?\nAnswer: 21.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x**3 - x)*(2 - 1 + 4).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76296167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 38*p + 62 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 106920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*(-11)\/253*3\/(45\/24).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 63*s. Let c(p) = 8*p + 5. Let h(l) = 26*l + 16. Let j(u) = 16*c(u) - 5*h(u). What is k(j(x))?\nAnswer: -4*x**2 + 126*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.146 - 6.854. Which is the fifth smallest value? (a) 0.3 (b) 0.1 (c) 5 (d) 2\/9 (e) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 + 43 = 3*s. Let x = 85 + s. List the prime factors of x.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhhlqlhlhqh. Give prob of sequence hl.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2638\/3 - 878. Factor -s**2 - 1\/3*s**4 + m*s + 4\/3 - 4\/3*s**3.\nAnswer: -(s - 1)*(s + 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 29*i + 2. Let b(a) = 88*a + 6. What is 6*b(u) - 17*w(u)?\nAnswer: 35*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3. Let m(v) = -8 + 4 + 1 + 4. What is -3*m(t) + z(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177603 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/65)\/((-100)\/(-25))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 693 - -307. Is 40 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 6\/343, -4\/3, 2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.08, -0.1, 0.011, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 4*i - 4. What is f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**5\/4 + 766449*o**4\/4 - 48954055683*o**3\/4 + 48951756351*o**2\/4 + 48953289243*o\/2 = 0?\nAnswer: -1, 0, 2, 127741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-241 - 47*z + 125*z - 75*z).\nAnswer: 3*z - 241","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901583549.\nAnswer: 191, 20427139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 77, -4, -79, 2, 99, -3 in decreasing order.\nAnswer: 99, 77, 2, -2, -3, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1386*k**3 + 41*k**2 - 1419655*k wrt k?\nAnswer: 8316*k + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398070522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(504)*-4)\/(sqrt(98)*1 + sqrt(98))*4.\nAnswer: -48*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4670*5\/30 + (-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15632)\/36*189\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*12\/(-144)*6*2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/((-9)\/(-2) - 4). Let m = -15 - z. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/2 (b) -1\/9 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 6. Let r = 47 + d. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264971212.\nAnswer: 2, 11, 6022073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -6) + -9 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 165.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**6\/360 - z**3\/2 - z. Let o(c) be the second derivative of l(c). Let k(m) = 10*m - 4*m - 7*m - 5*m. Give o(k(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 less than -1.0292?\nAnswer: -24.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/(-15))\/((-63)\/30 - -2). Let f = -28 - g. Let a(o) = -o + 18. Let b be a(f). Sort 4, b, -4.\nAnswer: -4, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293 (base 11) to base 15.\nAnswer: 17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.153 and -1.54.\nAnswer: -1.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/((-92)\/(-414)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*b - 93*b + 48. Suppose -b*j + 131*v + 4684 = 127*v, 3*j = 4*v + 3516. List the prime factors of j.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12. Suppose 5 = -y, 0*y - o*y - 35 = -5*l. What is the second derivative of 13 - 13 - 8*i - 9*i**l wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384721 and 72197?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*b = -273*b + 5*g + 6, -14 = 6*b + 4*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -4*f**6\/3 + 8*f**3\/3 - 2. What is the third derivative of u(l) wrt l?\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-2*r**2 - 2*r**2 - 5*r**2)*(2*r**3 - 5*r**3 + r**3) + 0*r**5 - 5*r**5 + 4*r**5.\nAnswer: 35*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003189 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(3) + 0)**2 - (sqrt(192) - (-3*(0 + sqrt(192) + sqrt(192)) + sqrt(192))).\nAnswer: -44*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8131.353426 rounded to 0 dps?\nAnswer: -8131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -110. Let b = s + 33. Let p be 1\/(6\/(-24))*(1 - b). Let m(r) = -r + 4. What is m(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/20)\/(2 + (-24)\/10). Let g(i) = 11249*i. Let f be g(o). Let k = 674873\/30 + f. Calculate the common denominator of 83\/18 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (13 - (-15 - -39)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*v - 5*c, -3*c + 0*c = v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*r + 5*r - 21, -3*r + 14 = -2*v. Let w = 12 - r. Suppose -3*o + w*o = -30. Which is greater: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85 + -2?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -16*g - 45. Let u be v(-3). Suppose -r - 128 - 93 = -u*o, 3*r = -6. Does 73 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.28 * -19.083\nAnswer: -62.59224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.034 and -99568439.\nAnswer: -99568439.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.233 (b) 88 (c) 564\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/5, 4, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*(-40)\/30?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*t + 99*t**2 - 2*t - 2631 - 12*t**2 + 215 - 2098 wrt t?\nAnswer: 174*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210497.\nAnswer: 7, 30071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-864)\/12 + (-30 - (10 + -64))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 3*i**2 - 3*i + 17. Let c be b(4). Calculate the remainder when 32\/(-12)*c\/12 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 508310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 - 1 - 3) + -2. Let x be (3\/z)\/((-3)\/6). Let d = 0.2 - -0.8. Sort -4, d, x in ascending order.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s*y**3*z - 80*s*y**2*z + 2*s - y**3*z + 993*y**3 + 2*y**2 + 2*y*z + 2 wrt y?\nAnswer: 12*s*z - 6*z + 5958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 + 0 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, f: 5, t: 2, j: 2}. What is prob of sequence jt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by -182839.\nAnswer: -154\/182839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -865, 3 in ascending order.\nAnswer: -865, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8490*h - 9 + 11 - 2.\nAnswer: -8490*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173293363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.448 - -1.89?\nAnswer: 2.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 117 = -5*g, -4*g - 154 - 41 = -5*t. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48281 divided by 1\nAnswer: -48281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 2. Let j be l(2). Let n = 1.98 - -0.02. Let d = 95.3 - 95. Which is the nearest to j? (a) n (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116713190 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**2 + b - 4. Let o be (-26)\/2 - (-6 - 0). Let y(m) be the second derivative of 7*m**4\/12 - m**3\/6 + 3*m**2\/2 - 5*m. Determine o*y(d) - 6*x(d).\nAnswer: -d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**3*w + 292445*p**3 + 8*p**2*w - 16102*p**2 - 2*p*w wrt p.\nAnswer: -12*w + 1754670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(72)\/sqrt(27) - sqrt(24) - sqrt(24))\/sqrt(8) + (sqrt(144)\/sqrt(4)*6)\/(-6*sqrt(24)\/sqrt(2)).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, d: 1, a: 1, u: 4, j: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + -2 + 6\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 11. Let x be k(5). Let q = 10 - 6. Suppose x*y = -q*p + 24, 0 = -2*y - 5*p + 2 + 16. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -351, -731, -1263?\nAnswer: -1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 15330*u - 14810*u + 15 - 2*u - 2*u + 2*u + (-1 + 1 + 1)*(-2*u + 1 - 1) + 0*u - 4*u + 2*u - 2*u - 2*u + 3*u in the form z*u + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353580502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-748)\/(-112) - 5 - 1) + (-2 - 0) and 83\/1756.\nAnswer: 12292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -149*x**2 - x + 1. Let t be b(1). Is t\/2*-4 - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 - -147. Factor -12 + d*q - 3*q**2 + q + 0 + 6.\nAnswer: -3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 - -1.86. Let l = a + 13. Let x = 13 - l. Put -4, x, -2\/3 in decreasing order.\nAnswer: -2\/3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 203*z**4\/24 + 34*z**2 + 30*z. Let u(w) = -11*w. Calculate j(u(x)).\nAnswer: -2233*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**34\/(u\/(u*u**(-4))*u) assuming u is positive.\nAnswer: u**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 11*u + 392 = 0. Let g = u + -34. Solve 5*l - 3*o + g = 0, -5*o + 3 = -2*l - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5975.98 - 5976. Which is the nearest to i? (a) -2 (b) 0.285 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23180 + 4?\nAnswer: -23175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 363635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752072 is divided by 272.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d - -86?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let j(m) = m**2. Calculate c(j(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/89762 > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1098, -219, 3 in increasing order.\nAnswer: -1098, -219, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -18562\nAnswer: -5\/18562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11042407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2068 by 106.\nAnswer: 1034\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -28\/3. Let h = 0.2 - 0.4. What is the third biggest value in h, 1, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/53 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 20 = 0, -5*o = -0*i + 7*i - 3*i + 66 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(11) - (sqrt(33)\/sqrt(300) - sqrt(11))) + (sqrt(11)*-2 + 0)*5)**2.\nAnswer: 52446\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*z + 854 = 0, 280 = v + z + 3*z. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1599 + 1503 + 420)*(7*i**3 - i**3 - i**3).\nAnswer: 17610*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 11. Suppose 0 = -10*t - 27 - 43. Let z be n(t). Solve -10 = z*m + 4*u - 41, 2*m - 14 = -u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94 + 6 + 281 + 257)*(-2*g + 3 - 3) in the form y + o*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -213?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 66*p**2. Let x(u) be the first derivative of u**3\/3 + 26*u + 33. Let q(n) be the first derivative of x(n). Give q(h(i)).\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.043 - -14. Let x = z - -0.543. Let q be (8\/10)\/(5\/(-25)). Which is the biggest value? (a) x (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97.88 - 97.7922. What is v rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 - 19 = 0. What is the remainder when 68 is divided by 2\/f - (-1166)\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650 + 2*f**2 + 1839 + 2574 - 663.\nAnswer: 2*f**2 + 3100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 988.9355 to zero decimal places.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4129042 is divided by 7956?\nAnswer: 7834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1300) + -1 + 1) - (5*(sqrt(1300) + -2 + -2))**2.\nAnswer: -32900 + 1970*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11.7+-0.0544\nAnswer: -11.7544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 874 = -2*z, 0 = -3*w - 0*w - 4*z + 668. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -666392 + 4?\nAnswer: -666389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -82713.4 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -245*m**4\/4 - 467*m**3\/3 - 150. Find the third derivative of q(z) wrt z.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005996 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4364319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d - 203. What is b(16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-21))\/(174\/(-28) - 228\/(-38))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(1\/2)*i)*i*i\/(i*(i*i*i**7)\/i)*i)**(-19\/3)*((i\/i**(2\/7)*i*i*i)**0)**2 assuming i is positive.\nAnswer: i**(247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337.60163263 - 3.60161463. Let o = p - 334. What is o rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 52518\/(-3)) + -6 + 0\/10.\nAnswer: 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72436724 = 18*y + 9373276. Round y to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -110?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8164341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 c, and 1 b when four letters picked without replacement from bbpcbqcbqnqbbabnn.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 11 - 43)*(-z + 2*z - 4*z).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 421*u**2 + 2*u + 2. Let v be x(-2). Let i = 5023 - v. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 17 = 4*f - 3*f, f = -2*n + 11. Let t = 496 + -489. Calculate the greatest common factor of n and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241*f**2 + 1670*f**2 + 2096*f**2 + 1185 + 439*f**2 - 1182 to the form u*f**2 + r + s*f and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*b + 117*b - 349*b + 109*b + 70*b**3.\nAnswer: 70*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*w - 1 - w)*(-22 - 18*w**2 + 22).\nAnswer: 54*w**3 + 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 888 = -1182. Calculate the least common multiple of 66 and d.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3509.14476 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*g + 39. Let q be (-8)\/44 - 390\/g. Find the common denominator of 33\/8 and 20\/(-12)*22\/q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33668090 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445166 - -2?\nAnswer: -445164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364781159 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*c**3 + 72000*c**2 - 72000*c**2 - 15*c.\nAnswer: 450*c**3 - 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4\/7, 7\/13, -1, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.11. Let z = -3.21 + q. Let l = -3 - z. What is the closest to 3 in l, 1\/6, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2\/7, -3\/2, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23521*d - 11136*d - 1 + 2 - 1.\nAnswer: -34657*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/26 - (-9320)\/(-3728)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23453\/39 + -7809\/13. Factor -4\/3*d - h*d**3 - 2*d**2 + 0.\nAnswer: -2*d*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + m - 11, -2*y = -5*m - 3 + 6. Let z be (58\/y)\/(3\/6). Let j = z - -52. What is the remainder when 90 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31505 divided by 6301\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5157, 5160, 5163, 5166?\n\"Answer: 3*g + 5154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 98878, 99701, 100524, 101347?\n\"Answer: 823*j + 98055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186700 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -50*y**5\/9 + 4990*y**4\/9 + 16292*y**3\/9 + 19268*y**2\/9 + 3290*y\/3 + 206 = 0.\nAnswer: -1, -3\/5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1316104738 to the nearest integer?\nAnswer: 36278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040) - (sqrt(5040)*3 - sqrt(5040)))\/(sqrt(343)*-3).\nAnswer: 4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*z - 3*z + 7*z)*(127 + 98 + 95)*((4 + 0 - 3)*(-3 + 0 + 2) + (-3 - 1 + 6)*(-1 + 1 + 1) + 0 + 3 - 1 + 1 - 2 + 3) - 4*z + 7 - 7.\nAnswer: 1596*z - 3200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 less than 68?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 855\/(-38)*2\/3. Let y be 5\/b*(-39)\/(-65). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w + 5*a, -a + 4 - 17 = 4*w. Let s = -2 - w. What is the remainder when (-10)\/(-15) + 21\/9 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*r + 2*h, -76 = 4*r - 9*r + 3*h. Let i be (2 - (-15)\/6)*2. Let f = r - i. Solve 0*d - 3*d + f = 5*s, 2*s = -5*d + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -97*i + 13. Let h(t) = 47*t - 6. Let o(r) = -2*f(r) - 5*h(r). Let z(y) = -3*y**2. Determine z(o(v)).\nAnswer: -5043*v**2 + 984*v - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/13524 and -17\/135534?\nAnswer: 6234564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276370294 to the nearest integer?\nAnswer: 16624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8264821.77 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 50\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 20*x - 178. Determine j(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c + 5*c + 1 + 6*c. Let q(k) = 2*k + 4. Give q(p) - 4*u(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -6*c**4\/11 - 4560*c**3\/11 + 2725890*c**2\/11 + 8209500*c\/11 + 498096 = 0.\nAnswer: -1153, -2, -1, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1164\/32*-2)\/((-63)\/84). Solve -35*k + f + 43 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*l + 72 - 572. Solve -l = 8*c + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-145) + (-11609430)\/4847031. Let a be ((-12)\/10)\/((-3032)\/(-150)). Let v = o - a. Find the common denominator of -19\/14 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1305)\/580*((-3)\/14)\/((-120)\/(-32))*5?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -715*b**2 + 1557*b**2 + 3*b - 841*b**2 - 2 - 5*b**3 as m*b**3 + y*b**2 + q*b + u and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357975 by -3.\nAnswer: 119325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 - -4 - -7 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 7*j**2 - 4*j**2)*(2*j**2 + 4*j - 4*j)*(-3 + 4 + 1).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 3)*(72*t - 71*t - 265*t**2 - 697*t**2) as l*t + r*t**2 + x and give r.\nAnswer: 2886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p + 25*p + 2 - 10*p**2 - 3*p.\nAnswer: -10*p**2 + 38*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/14)\/(6\/42). Suppose 2*r = -4*v - 2, 0*r + 3*v = 3*r + t. Let m = r - -7. What is the remainder when 7 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -3 (c) 1 (d) -2\/9 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -101*w - 606. Let o be v(-6). Let j = -26 - -28. Solve j*r + 2*r = o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-10 + -1 - (-6 - 2 - -12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = 6*t. Suppose -l + 5*l - 5*g = 13, 0 = t*l + 3*g - 1. Calculate the remainder when l is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/45)\/m)\/m)\/m)**(3\/7) assuming m is positive.\nAnswer: m**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144.96 + -104. Let q = s - 41. Sort 4, 2\/11, 1, q in increasing order.\nAnswer: q, 2\/11, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463 = 5*s - 5*p + 1478, 0 = -3*s + 2*p - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2\/5, 10, -1\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -301*x**5 - 219837*x**4 + x**3 + 787663342*x**2?\nAnswer: -18060*x**2 - 5276088*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.96258\nAnswer: -0.288774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (0 - -33) + 3. Suppose 0 = -s + g - 0. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -23\/5, 0.0162 in increasing order.\nAnswer: -23\/5, 0.0162, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, 173\/6, -1\/4, -364 in decreasing order.\nAnswer: 173\/6, 1\/3, -1\/4, -1, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfsssfsfssffusfss. Give prob of picking 2 s.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -616*r + 16639. What is m(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110122 - 10200?\nAnswer: -2121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1+-21699.7\nAnswer: -21698.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 161*k**2 - 56*k**2.\nAnswer: -217*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, g: 1}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 20*m - 84. Let g be v(-10). Find the second derivative of -63*y + 12*y + 15*y**2 + y + g*y**2 wrt y.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 - 6128*s - s**3 + 3 - 3*s**2 + 6131*s in the form x*s**2 + o*s**3 + i + j*s and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 4*y**7\/7 + 3*y**3 - 10. What is the third derivative of v(j) wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/270)\/(1\/2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-90))\/((-4)\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/1 + -2)\/((-3)\/(-39)). Sort 1, -4, h in decreasing order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -406185, -406179, -406173?\n\"Answer: 6*k - 406191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -203, 1, 389, 967?\nAnswer: 1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389 - -699. Let v = j - 305. What is the third smallest value in v, -1\/2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17970400 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*-7*(-6)\/(-910)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 10*h + 2. Let j be (13 - 14)\/(h\/30). Solve 25 = 5*k - 2*w, -k + 4*w + j = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 836 + -886 + (128 - 7)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 - 99 = 4*i. What is the lowest common multiple of i and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -501516, -1003065, -1504604, -2006127, -2507628, -3009101?\n\"Answer: v**3 - v**2 - 501553*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-28))\/(2 - 24\/21). Let i = 1806 - 1803. Sort i, 4, a.\nAnswer: a, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + b - 5*b - 5*b in the form h*b + l and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5 + 70*p**4 + 3*p**2 - 191*p wrt p?\nAnswer: -60*p**2 + 1680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -445, -632, -841, -1078?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = l + 24, 2*s - 11 = l - 2. Suppose 3*m = 3*y + 2*y + 21, 0 = 4*m - s*y - 33. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52890018 is divided by 4185.\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 * -13\nAnswer: 9.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 119026, 119028, 119034, 119044, 119058, 119076, 119098?\n\"Answer: 2*q**2 - 4*q + 119028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75295 is divided by 10753.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13371 + -6?\nAnswer: -13377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11899 > 11899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11393403, 22786805, 34180207, 45573609?\n\"Answer: 11393402*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**4\/21 + 232*l**3\/21 - 6728*l**2\/7 + 252*l - 145. Let y(f) be the first derivative of d(f). Find s, given that y(s) = 0.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36180311 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*z - 12 + 1\/2*z**3 - 11\/2*z**2.\nAnswer: (z - 6)*(z - 4)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74)\/(-185)*(0 + -4)*(-25)\/10. Let v = -7 + 12. Solve -t*h + 2*y - 6 = y, -v*y + 10 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 3*d**2 + 4*d + 5. Let v be r(-4). Let y = v - 3. Suppose 0 = -0*l + y*l - 76. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -45*(3 - (-34)\/(-10)). Let m = l + -13. Suppose -2*a = 2*g + g + 9, -m*g - 25 = 0. Solve -a*c + 2 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/30)\/(7\/21). Suppose 6190 = 5*j - f, 3707 = 3*j - q*f + 2*f. What are the prime factors of j?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b3c + 2?\nAnswer: 5b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -51. Solve 3*v = -2*n - t, 2*v - 5*v = -3*n + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -29. Let h = -24.6 - k. Which is the biggest value? (a) h (b) 0.2 (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 397\/25 or 16?\nAnswer: 397\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/7 (b) -21 (c) 8 (d) 5 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + -3)*(-6 - -3). Suppose -5 = 4*n - f. Suppose -4*l + 200 = n*y, 295 = 4*y + l + 89. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1023, 1006, 973, 918, 835?\n\"Answer: -j**3 - 2*j**2 - 4*j + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.05, -0.1, 2, -1817 in descending order.\nAnswer: 2, 0.05, -0.1, -2, -1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 12. Let r = 22 + l. Is (-49)\/(-21) + (-2)\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2. Let l(r) = r**2 - 6*r - 37. Let h be l(10). Let y(c) be the second derivative of 0*c**2 - c + 0 - 4\/3*c**h. What is o(y(u))?\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5923534 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: Determine t, given that -2*t**4 - 11088*t**3 + 177774*t**2 - 811580*t + 1000800 = 0.\nAnswer: -5560, 2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 850257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 59 - 11 = 0. Suppose 5*y + 10 = 0, 3*y = f*k - k - 8829. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 - 3*n**2 - 3*n + 9. Let c(a) = -3*a**3 + a**2 + 2*a - 4. Let m(f) = -9*c(f) - 4*i(f). Solve m(d) = 0 for d.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + z. Let w(r) = r**2 + 5*r + 5. Let v(x) = -x + 4. Let i be v(7). Let b be w(i). Let m be f(b). Solve m*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -3*d, -x + 2*d = -10. Let g = -7 + x. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 0.77, 2.5, 0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147089210 + 147089181.0000012. Let s = h - -29. Round s to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 3*l - 47 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7198433 to the power of 1\/2, to the nearest integer?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -11466710?\nAnswer: -11466715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 737296222 to the nearest integer?\nAnswer: 27153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*i + 60. Suppose -132 = -5*y + 998. Let o = -221 + y. Solve -4*j = -4*g, -i = -j - 0*g + o*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 22819.\nAnswer: -1\/22819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + -2.9. Let t = f - -9. Which is the second smallest value? (a) 0.5 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*j**3 + 599*j**2 - 599*j**2)*(-1 + 3 - 3*j + j).\nAnswer: 108*j**4 - 108*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*o - 77439 = 0, -6*q + 53016 = o - 39943. What are the prime factors of q?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 77*b**4 - 78*b**4 + 8*b**3 - 2*b**4 + 0*b**4 + b**4 + (-16*b**2 + 12*b**2 + 20*b**2)*(3*b**2 + 0 + 0).\nAnswer: 46*b**4 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (-8 - (-15 - -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/20)\/((-44)\/22) + (-12)\/(-45)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/3498 and -23\/159.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.1, -43\/4, 2\/23, -8\/5, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(-1)*1922. Suppose -243 + 824 = 3*g - 4*w, -5*g + n = -3*w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 9736913548874.\nAnswer: -9736913548876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4757018 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 0.2, -10, -2, 25, 2 in ascending order.\nAnswer: -48, -10, -2, 0.2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**17*u*u*u)))\/(u*u**7*u)*((u\/u**(-1\/9))\/u)**41 assuming u is positive.\nAnswer: u**(149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36344\/(-472))\/(14\/6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 32) + (1 - -1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2 + -5)*-3 + sqrt(26)\/sqrt(2)*5 + 1.\nAnswer: -sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96186 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -37*f - 6 - 11 - 11 + 36*f. Let p be q(-5). Let j = p - -28. Solve -t - j*w + 9 = 0, 3*w - 12 = -4*t + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 = -10, -5*n = -4*r + 25. Suppose r = 3*k + k - 20. Let f(x) = -x**2 + 6*x - 5. Calculate f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3 - q**3 + 0 + 0 + 0 - 4*q**2 + 7*q. Suppose 0 = -w + 1 - 6. What is i(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3922 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k - 4 = 0. Suppose 0 = 2*j + k*j - 5*f - 50, -10 = -2*j - 5*f. Suppose -j*w + 5*w = -220. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 465 + 189*b - 1386 + 464 + 457 in the form l + d*b and give d.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460418 and 358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 3)*(-114*k + 615*k**4 - 317*k**4 - 317*k**4) to f*k + q*k**4 + b*k**3 + y*k**2 + t and give f.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3*r - 2*r)*(r + 7*r - 2*r).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -21*x + 2 - 178 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:41 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -147, -483, -1131, -2193, -3771, -5967?\n\"Answer: -17*p**3 - 3*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44939*k**3 + 636*k - 11 wrt k.\nAnswer: 269634*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 20, 34, 52, 74, 100, 130?\n\"Answer: 2*v**2 + 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000697268291 rounded to seven decimal places?\nAnswer: 0.0006973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5538.895ng?\nAnswer: 0.005538895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223288.2 millilitres to litres.\nAnswer: 223.2882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2. Let v(z) = 5*z**2 - 223*z. What is v(t(u))?\nAnswer: 45*u**4 + 669*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {w: 1, i: 9, b: 5, c: 3}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 89*j**2 - 4*j - 20. Let x(u) = u**2 - u + 1. Let f(a) = -m(a) + 4*x(a). What is the derivative of f(i) wrt i?\nAnswer: -170*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (238\/850)\/(11*(-238)\/(-935)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13556305 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26056099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9174 is divided by 2593?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64908 is divided by 603.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*o**4 - 8*o - 881*o**4 + 1626*o**4 + 2548*o**4 + 2*o - 331*o**2 wrt o?\nAnswer: 79992*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -406 + 534. Calculate the remainder when c is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + 26*k + 29. Let l(g) = -18*g**2 - 78*g - 87. Let u(v) = -8*f(v) - 3*l(v). Let a be u(12). Suppose -2*n = 6, -2*n = -d + 2*n + a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569372017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -5\/6*y**4 - 4*y**2 + 0 + 1\/20*y**5 - 4\/3*y**3 + 0*y. Is f(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -21*j + 1. Let t be n(-2). Suppose t = 4*m - 33. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7740\/559 + 2\/13 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*z + i - 4, 3*i + 15 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 1. Let h be v(-6). Let s(n) = -2*n**2 - 6*n - 7. Let m be s(h). Let l = m + 60. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 9*g - 1. Let o be z(-7). Let r = -22 + o. Solve -k - 4*k = 4*d + 4, 5*k + 2*d + r = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.04, 1, -0.32 in decreasing order.\nAnswer: 1, 0.04, -0.32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-10 + 1 - (-5 + 10 + 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - b. Let f(w) = -99*w**2 + 6*w. Determine -f(h) - 6*l(h).\nAnswer: 111*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*sqrt(11) - sqrt(11)) + 5 + (3*2*sqrt(11) - sqrt(11)) + sqrt(77)\/(sqrt(7)*-1 - sqrt(7)))**2.\nAnswer: -115*sqrt(11) + 5919\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365801372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -763 divided by -114270.\nAnswer: 763\/114270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2311 (base 6) to base 10\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-3 + 3 + -2*(sqrt(704) + -1) + sqrt(704) + sqrt(704) + sqrt(704) + -4 + ((sqrt(1100) - (sqrt(1100) + -1))*-5 - (2 + -1 + sqrt(1100))))**2.\nAnswer: 260*sqrt(11) + 7461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 - 2.63. Let y = 1.1 - 1. Let x = 0.1 - y. What is the third biggest value in g, x, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3098113652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152 - -52?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let i = r - -2. What is the greatest common factor of 9 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -43*b + 174. Solve 5*t = -10*d + 5*d - 20, b*d = -20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = 19. Suppose 4*p = -3*y - i, 3*p + 6 = 3*y - y. Suppose -f = -3 - y. Solve -4 = -f*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + 2 + 4 + -28?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9*f - 3 - 4 - 8*f.\nAnswer: f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Let y = 3 + z. Suppose -2 + 0 = -i - 2*g, -5*g = 2*i - y. Calculate the smallest common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 = 21. Let z be -1 + 5 + -1 - g. Put 4\/7, z, -2\/11, -5 in decreasing order.\nAnswer: z, 4\/7, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*y**2 - 1896*y**2 - 33254*y**3 + 951*y**2.\nAnswer: -33254*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-2)\/10). Let d be -1 + 3 + (-2)\/t. Let a(z) be the second derivative of -z**4\/12 + 2*z**3\/3 + z. What is a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16350.59 litres?\nAnswer: 16350590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/90 and 41\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 5*i**2. Let z be c(-5). Suppose -17*j + 2*u + 14 = -15*j, -20 = -2*j - u. Solve 11*o - j*o + 2 = z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(60\/10) + (-33)\/(-90)*3\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 1. Let k be q(-7). What are the prime factors of (-7 + 4)*k\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*t + 12*t**2 + 21*t)*((4*t - 79 + 79)*(-3*t - 2*t + 2*t) - 2*t**2 - 3*t + 3*t) to the form o*t**4 + x*t**2 + y*t + s*t**3 + j and give o.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -16, 0 = 2*y + 4*u - 0 + 2. Let t = -7 - y. Solve t*x - 3*x - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112.5*0.802\nAnswer: -90.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30648000 to the nearest one hundred thousand.\nAnswer: 30600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 322*f**4\/3 - 877*f**3\/3 + 2636*f**2. What is the derivative of p(u) wrt u?\nAnswer: 2576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/15 + 2134*o\/15 - 2132\/15.\nAnswer: -2*(o - 1066)*(o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r = 22348 - 21646 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 85. Let x be (-2 - -6) + (-2)\/4*-366. Calculate the greatest common factor of x and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/30 + 5*a**4\/18 - 28*a**3\/9 - 32*a**2\/3 - 138*a + 5. Suppose j(l) = 0. What is l?\nAnswer: -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -19*d + 34. Solve 6*g + d*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -491.91.\nAnswer: -492.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 8. Suppose -3*m + 4*x + 9 = 0, 73 = -3*m + 2*x + 94. Let r(d) = -4*d - 41. Determine m*j(a) - 2*r(a).\nAnswer: -3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 404.3884 + 0.9116. What is y rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*f**3 + 3360256*f**2 + 47047616304*f + 12545792064 = 0. Calculate f.\nAnswer: -28002, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8 = 2*y, 0 = 8*y - 4*y + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 3*k**5\/80 - k**4\/16 - k**3\/2 + 3*k**2\/2 + 13*k - 54. Let f(c) be the first derivative of t(c). Solve f(g) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.1 (b) 241 (c) -36 (d) -5 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121122 (base 4) to base 14.\nAnswer: -842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 3 + 0 - v**2 + 0.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 56*p - 37. Let x be v(-18). Put 43, x, 3, 0 in decreasing order.\nAnswer: 43, 3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000324862958 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xakx. What is prob of sequence xk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 585?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 26*v + v to the form a + n*v and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 + -2 + 1 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/14 - 14\/(-4). Suppose -m*g = 44 - 118. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 733 divided by 1\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179344 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c44a7 - 0?\nAnswer: c44a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(3*(sqrt(304) - (1*sqrt(304)*2 - sqrt(304))) - (sqrt(304) + 1 + 2*sqrt(304) - (sqrt(304) + -2)*-4)))**2.\nAnswer: -392*sqrt(19) + 14949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tbtjtjbtjbbt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8966335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 32. Calculate the highest common divisor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-10)\/30*-39?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -6, -105, -3, 7.\nAnswer: -105, -6, -3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 5*f**4\/12 - 2*f - 3. Let y(s) = 2*s - 3*s - s. Calculate y(p(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -204*o - 1239. Let y(f) = 1016*f + 6195. Let r(g) = -19*s(g) - 4*y(g). What is the first derivative of r(b) wrt b?\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r + 172*r + 22 = 267*r - 1406 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17993018 divided by 20\nAnswer: 8996509\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/20 - 2*w**2 + 41*w. Let j(u) = u - 4. Let m(f) = -1. Suppose x - 8 = -x. Let n(p) = x*m(p) - j(p). Give q(n(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 5 - -3 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 33. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-106)\/(-8) + (-5)\/20. Let h be (23\/(-5))\/((-1)\/5). Let q = h - l. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 64*y + 189. What is a(58)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 992\/5 - 199. Let f = 3.22873 - -0.77127. What is the closest to 8 in 3, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjjj. What is prob of sequence ss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.02883 months to decades.\nAnswer: 0.17524025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-3778)\/(-7) - (-4)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7167838943.\nAnswer: 107, 571, 117319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2535)\/(-375))\/((-159)\/15) - (36\/15 - 3)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x**3 + x - 1. Let q(a) be the second derivative of a**3\/2 + 4*a**2 + 2*a. What is the remainder when q(5) is divided by i(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 473 + -469. Suppose 0 = -5*o + 3*h + 1488, 0 = 4*o + i*h - 2*h - 1208. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrzozlfooloolrlzol. What is prob of sequence lzof?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15771219 divided by 6.\nAnswer: 5257073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**3 + 17*d**2 - 6*d + 6. Let h(n) = 7*n**3 + 18*n**2 - 5*n + 5. Calculate -6*h(r) + 5*j(r).\nAnswer: -2*r**3 - 23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29916\/126 + 1 + 6\/(-14) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2\/5 + 3402*n\/5 + 2762357\/5 = 0.\nAnswer: -2063, -1339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542.2645877 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*m - 6)*(0 - 1 + 0) - 4*m + 2*m + 0*m + (2*m - 6*m + 2*m)*(2 + 1 - 4) - 1 + 1 + 2*m + 3*m + 2*m - 6*m + m + 4*m - 4*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5471 + 27108\/5. Let d = t + 49. Which is the third biggest value? (a) d (b) -1.3 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5394822?\nAnswer: 2, 3, 19, 37, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/45)\/(14\/5). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 240524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-901904)\/(-48))\/(0 - 29\/3). Let m = -1944 - j. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1*1)**2 - (((0 + sqrt(1100))**2 - sqrt(1100)) + -5))*-1*-6.\nAnswer: 30 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 85541 divided by -301\nAnswer: -85541\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28183 + -27924. Calculate the least common multiple of i and 74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-20) + (-2775441)\/(-15). Let t = 1465029 - f. Round t to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 6400000. Suppose -5*o = -o + g. What is o rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a + 7. Let c be z(6). Let j(t) = t + 5. Let h be j(-4). Are h and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/13 + 5676*n\/13 - 4027122\/13 = 0.\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1430480, -1430553, -1430626, -1430699?\nAnswer: -1430772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1125 (base 16) to base 5\nAnswer: -120024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 3*b**2 + b**2 + 9*b - 9*b + 4*b**2 + (2*b - 3*b - 2*b)*(-2*b + 6*b - 2*b) - 46*b**2 - 269*b + 269*b.\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 + -183. Let y be (12\/i)\/(0 - 50\/15). Which is the second biggest value? (a) 16 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956738 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2017496 divided by 155192\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 5*p + u, 0 = u + u + 10. What are the prime factors of p?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 - 48*n**2 + 2*n + 35. Let a be f(-16). Solve 4*t - 7*t + a*h = -18, 20 = -5*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1402*d + 34 - 695*d - 702*d. Determine a(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424\/64 + 18\/48 - 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + q + 8355 = 0, -b - 43*q + 48*q = -2757. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 - 14*w - 19. Let y(p) = 3*p**2 - 7*p - 9. Let v(h) = -4*j(h) + 9*y(h). Suppose 19 = -3*d - 77*b + 76*b, -d - 2*b = 3. What is v(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -1602, -2403, -3204?\nAnswer: -4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. Let f be (-1)\/1 + (s - 4). Let d = f + 21. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0 in increasing order.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {z: 2, c: 3, l: 1, f: 3, i: 6, j: 5}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 9. Let p be d(-5). Suppose p = -2*t - 4. Is -3 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.416252 to 1 dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1352*k - 886*k + 1323*k + 982*k)*(2 + 9 - 3)*(4 + 0 - 3).\nAnswer: 22168*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p**2 + 5*p - 1. Let z(l) = -13*l**2 + 6*l - 1. Determine 6*y(w) - 5*z(w).\nAnswer: -7*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2.3. Let g = 45 - 42. Suppose 3*z = 4*z + 4*q - 5, -6 = -g*q. Sort z, o, 5 in increasing order.\nAnswer: z, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10669146 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-28))\/((-240)\/56 + 6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(21)\/((sqrt(9)*4)\/sqrt(3)).\nAnswer: -1 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - -119. Let y be (5 + (-10 - q))*1. Suppose y = 2*w - 3*s + 33, 4*w + 3*s + 2*s = -11. Sort w, 2, -5 in ascending order.\nAnswer: w, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*m**5\/2 + 56*m**4 + 52*m**3\/3 - 32*m**2\/3 - 8*m\/3.\nAnswer: -m*(3*m - 2)**2*(7*m + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5896*l + 5888*l + 88 = 0. What is the highest common factor of l and 10890?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y**2 - 1600*y + 1. Let v be r(-160). What is the nearest to -0.5 in v, -0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 124*o - 6. Let f be x(4). Calculate the common denominator of (f\/(-12))\/7*(-3)\/(-90) and (5*(-129)\/(-180))\/(1\/(-3)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 16. List the prime factors of 4\/(-8)*-2 - m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388466 + -231403. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 601 or 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 + 45\/25. Suppose 0 = -l + q*l. Suppose l = 4*j + 4, -2*j = -2*n - j + 17. Solve 0 = -0*f - 4*f - n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314042479 - 7*x**2 + 157021239 + 157021240.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -27, -24?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16169426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, -0.01328?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 49?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 750242357 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 67, -4754, 3, -3 in decreasing order.\nAnswer: 67, 3, 0, -1, -3, -4754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7110 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3192442 or -3192444?\nAnswer: -3192444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 146\/3 - 2\/3*s**2 - 48*s.\nAnswer: -2*(s - 1)*(s + 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 millimeters in meters?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41064923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 2*r**2 + 3*r**3 - 2*r**2 - 4*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10*k = -260. Calculate the remainder when 255 is divided by 1\/4 + 3367\/k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -2*o + 346, -5*o = -4*o + 2. What is the least common multiple of (-27)\/45 + (-153)\/(-5) and l?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27156 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t + 127*t + 3615 = 591 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q**2 + q**2 + 35*q**2 + 67*q**2.\nAnswer: 150*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:53 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 44. Suppose 20*c + 9 = 21*c. What is the units digit of g(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*l**2*n**4 - 4*l**2*n**3 + 285*l**2*n**2 + 2*l**2*n - 2*l*n + 2*n**4 wrt n.\nAnswer: -648*l**2*n - 24*l**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 15 + o - 3*o - 31.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4903, -8646, -12399, -16168, -19959, -23778, -27631, -31524?\nAnswer: -35463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*c + 84, 2*c - 4*k + 128 = -c. Let a = c - -46. Sort -5, 5, a in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 1\/4, -5\/2.\nAnswer: -5\/2, 1\/4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:05 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**3 - w**3 - 4*w**3)*(5*w - 5*w + w) + 652*w**4 + 2*w**3 - 840*w**4 + 421*w**4 to c*w**2 + j*w + r*w**4 + n*w**3 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27561360 (b) -9 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238656 and 43392.\nAnswer: 477312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = i - 5*u, -5*u + 6 = -2*u. Let n be (i\/(-12))\/(1\/2). Let x = n - 37. Is 1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 23. Let w be v(-13). Let d = -28 - -32. Suppose -73 = -w*l - d. Calculate the remainder when 67 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a. Let c be h(1). Let f(v) = 124*v - 15. Let i be f(c). Suppose -5*k - 4*s = -2405, -i = -k + 2*s - 4*s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131511 (base 6) to base 15.\nAnswer: 3897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 + 6*r**4 + r + 8*r**2 - 4*r - 3*r**4 in the form a*r**3 + y + w*r**4 + z*r**2 + t*r and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s + 139. Give z(-31).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 10*f + 2. Let b(w) = w**2 - 9*w - 2. Let i(n) = 6*b(n) + 5*j(n). Is i(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/3 - g**3 - 21*g**2. Differentiate w(z) with respect to z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let l be o(1). Let i be (l - 33*-1)*2. Suppose -i = -5*d + n - 4*n, -d = n - 14. What is the smallest common multiple of d and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**5 - 126*g**4 + 402*g**3 - 300*g**2 - 27*g + 66 = 0. Calculate g.\nAnswer: -11, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18592*j - 18590*j + 4 - 4.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert cccc5 (base 13) to base 8.\nAnswer: 1325125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 72 = -6*h. Suppose 14 = -2*v - y, y = v + v + h. Let i(u) = u**2 + 7*u - 3. Let m be i(v). What is the greatest common factor of m and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.05, -3\/4, 5, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26965119.\nAnswer: 3, 37, 277, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/5 or -52?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 + 5*c - 4. Suppose -9 = -2*b - 3*l, -12 = -5*b + 8*l - 5*l. Let j(i) = i**3 - 4*i**2 + 4*i - 1. Let x be j(b). Determine k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428 by 107.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b + 125 = 0. Let x = -11 - b. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 68 - 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbs when three letters picked without replacement from nbspbbbgsgbsslsbl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087)*-3*3 + 5)**2 - ((sqrt(3087) + (2 + sqrt(3087) - sqrt(3087)))*3 + -3)**2)*1.\nAnswer: -2268*sqrt(7) + 222280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.3, -3\/2, -92 in decreasing order.\nAnswer: 0.3, -0.2, -3\/2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d - 12. Let a(f) = -f**3 - f**2 - f - 2. Let h be a(d). Suppose 0 = x - 5*w - 64, -4*x + 2*w = 6*w - h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 206 and 48162?\nAnswer: 4960686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004216761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50394 divided by -16798.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 5. Let w be r(-8). Let v = w + 6. Suppose d + 10 = v*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -4, 178, -5, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 109*q\/3 + 36.\nAnswer: (q - 108)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*s - 6, -3*i = -8*i - 3*s + 13. Let x(v) = 5*v**2 + 2*v - 3. Let w be x(i). Let p = w - 1. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*w = -2 - 16, 0 = 4*o + 2*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14334\/9556)\/((9\/(-10))\/(48\/700))\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 5, -27, -2, -3, -234\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 29*d**2 + 21*d**2 - 63*d**2 - 3.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3007, 1549, 91?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221441, 221406, 221371, 221336, 221301, 221266?\nAnswer: 221231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/60 + j**4\/24 + 17*j**2. Let s(p) = -p**3 + 11*p**2 - 11*p. Suppose -8 = -2*t - 0*t. Calculate t*s(u) + 44*z(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -830386 (base 9) to base 16\nAnswer: -7836c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -887, -1812, -3107, -4772?\nAnswer: -6807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(576\/36)\/352?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45 + 88 - 43 - 16*a**5 + (1 - 1 + a)*(5*a**4 - a**4 - 2*a**4).\nAnswer: -14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 2, k: 2, b: 4}. Give prob of picking 2 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2034*n**3 + 2*n + 0*n**4 - 1017*n**3 + 9 - n**4 + 24*n**2 - 1019*n**3 as t*n + q*n**2 + l + k*n**3 + m*n**4 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -88.5. Let p = -219.5 - h. Let v = -274.4 - p. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*m - 364, -5*m + 206 = 2*x - m. Calculate the remainder when x is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by 686.\nAnswer: -53\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6394333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/9, -0.12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -4 - (-74 + 0). Let t be (-15 - 3)\/((-19)\/76). Suppose 0 = -2*n + x - t. Calculate the smallest common multiple of 1 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60.95 + 44. Let b = o - -20. Round b to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 = 8*v - 52. Suppose 4*n = 3*x + x - 136, -2*x = 5*n - v. What is the smallest common multiple of x and 21?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167958, 168037, 168130, 168243, 168382, 168553, 168762?\n\"Answer: g**3 + g**2 + 69*g + 167887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485718 divided by -6?\nAnswer: -80953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10325 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.21171 + 0.000433?\nAnswer: 15.212143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 3*n - 15, 25 = -3*d + 5*n. Suppose 2*i + 6 = -d*i. Let x(v) = 13*v**2 - 2*v + 4. Is x(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:32 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 369\/(-246)*(-4)\/((-6)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*j**2 - 26*a**3*j*n**3 - a**3*j + 1277*a**2*j**2*n**3 - a**2 - 5*a*j*n**3 + 2*j*n**2 wrt j?\nAnswer: -6*a**3 + 2554*a**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(1\/3)))\/k*k**(-5)*k\/(k\/k**3*k)*k**(4\/9)*(k**1*k)**42*(k*(k*k*k*k**(2\/3)\/k*k*k*k)\/k)**(-32) assuming k is positive.\nAnswer: k**(-896\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 35, 70, 135, 242, 403, 630?\n\"Answer: 2*c**3 - 3*c**2 + 12*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 3*j**2 - j + 4. Let k be x(-2). Let c = k - -17. Let u = 98 - c. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48034, -48036, -48038, -48040?\nAnswer: -48042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3)\/(-3 + (-111)\/(-39)). What are the prime factors of (11 + d)*(-18 + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 5*o - o)*(-26*o - 5 - 29*o + 57*o) + 5*o**2 - o**2 - 3*o**2.\nAnswer: 5*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 842541 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 20. List the prime factors of (-346)\/(-4)*(-1 - c).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - g**2 + 5*g + 2. Let u(x) = x**3 + x. Let f(q) = 3*u(q) - z(q). Let k be f(-2). Are -0.1 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnnidnsd. Give prob of sequence uis.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -426 and 12313520.6.\nAnswer: 12313094.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10 - (-88)\/40. Let r(s) be the first derivative of 2*s**2 - 2*s**4 + 8\/5*s**5 - 2*s**3 + z*s + 3. Factor r(v).\nAnswer: 2*(v - 1)**2*(2*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from qfpqqqfqqqqqqppppp?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -918244 - -918243.447237. Let b = s + 0.553. What is b rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415\/4 + -105. Let k = -10 - -10. Is k > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131514 rounded to 4 decimal places?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*h + 213*h - 5*h**3 + 234*h + 212*h.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6782*m**3 + 2*m**2 + 31*m - 17. Let j be l(-17). What is j rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 - 47*m**2 + 16*m - 6. Give p(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from ppppplllllll.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, 2\/53, -1\/5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-1468)\/(-3))\/((-133)\/14763) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463404?\nAnswer: 2, 365851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * 3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -510*p**2 - 8. Let c(i) = -2*i. What is c(s(d))?\nAnswer: 1020*d**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*s + 3, 6*s - 54*g + 48*g = 36 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 850635696 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.025 + 0.175. Let l = -101.4346 - -101.63459948. Let h = q - l. What is h rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-9)\/(-45)*-5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 3, -487, 0, -25 in increasing order.\nAnswer: -487, -25, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -14. Is z <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = 10*u + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*a - 13 = -c, 0 = 3*c - 3*a + 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:42 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5995 + -5)*13*5. Round v to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 44*d + 26 = 0. Let g(a) = a**3 - 14*a**2 + 14*a + 2. Let m be g(d). Is m equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 66 = 3*v - r, 3*v - 42 = -3*r. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - 4*u - 4. Let n be r(4). Let h be (2 - 2)*(0 - 1). Suppose -c = -h*c - 48. What is the highest common factor of n and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (134 - 454) + 325 + -15 + (3 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102066 divided by 2.\nAnswer: 51033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*3*sqrt(475)*5 + (sqrt(475) - (0 + -6*sqrt(475))) + -2)**2*-5.\nAnswer: -3251395 + 3700*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 - 3*n**2 - 2*n + 0*n + (-n**2 + n - n)*(5 + 1 - 5) + (2*n**2 + 4*n - 4*n)*(2 + 1 - 1).\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*b - 33 = 0, 20 = -2*x + 4*b - 12. Let v = x - -20. What is the remainder when 9 is divided by v\/(-6) - 117\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 224211123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -77, -176, -361, -662, -1109, -1732?\n\"Answer: -5*v**3 + 2*v**2 - 14*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))**(-32)*c*c**(-3\/2)*c**(-2\/23)\/c)\/(c**(3\/4)\/c*(c**5*c)\/c*c)**47 assuming c is positive.\nAnswer: c**(-25009\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20004854 by 158.\nAnswer: -126613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**2 - 47*o - 269. Calculate the smallest common multiple of p(-7) and 9.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 128, 254, 374, 488, 596?\n\"Answer: -3*f**2 + 135*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 11*w**2 - 9*w - 5. Let l be p(10). Suppose -l*n + 36 = n. What is the lowest common multiple of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 + -371. Let u = 164.000000503 + p. What is u rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r**3)*(0*r + 0*r - 2*r) + (-2 + 4 - 1)*(0*r**4 - r**4 - r**4) + 3*r**4 - 4*r + 4*r.\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.64835 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 17*x**2 - 29*x - 393. What is g(-18)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5 - 6816025*d**4 + 4*d**2 + 2243*d + 62 wrt d.\nAnswer: -60*d**2 - 163584600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50828, 203338, 457528, 813398, 1270948, 1830178, 2491088?\n\"Answer: 50840*k**2 - 10*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10141 (base 5) to base 11.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*k + 189*k = 558 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-24) + 2\/6. Suppose v - 5*v = y. Let l(q) = -q**3 - 8. What is l(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-48) - (-58)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18*30\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -3*a + 4*s - 14, -2*a + 3*s = -24. Suppose 0 = -2*r - 7 - 3. Put 1, -1, r, a in increasing order.\nAnswer: r, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r*r*r**(-7)*(((r**1\/r)\/r)\/r)**(-4\/25))**(-40) assuming r is positive.\nAnswer: r**(336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**3 - 63*m**2 - 2*m. Let n(g) = 7*g**3 + 68*g**2 + 2*g. What is -6*b(l) - 5*n(l)?\nAnswer: l**3 + 38*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p + 2. Let o = 671 + -660. Let g(c) = 5*c + 1. Calculate o*g(n) - 4*j(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 76*b + 0 + 72*b)*(-5 + 3 + 0).\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1483*i - 7880 + 15736 - 7879 + 0*i + 0*i + 2*i + (0*i - i + 0*i)*(-1 + 0 + 2).\nAnswer: 1484*i - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552580 - (0 - (25 - 16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by (-1198)\/(-26) + 6\/(-78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-5) - 16\/30. Which is the nearest to 1? (a) g (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**3 - 16*g**2 + 62*g - 36.\nAnswer: -2*(g - 1)**2*(5*g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11913365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 10:34 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -265, -368, -471, -574?\n\"Answer: -103*l - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**5\/5 + 71*g**4 - 192*g**3 - 568*g**2 + 2288*g + 3516. Determine b so that m(b) = 0.\nAnswer: -286, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -77, 1\/7, -14, -1\/2, -0.1, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 - 80*m**3 + 83*m**3 + 4.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -1146212?\nAnswer: 1146223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79932291 and 8556.\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-2 + (13 - (-8 - -14))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26 + -5 + 29)\/(21*(-4)\/(-6)). Let c = -1.7 + 2. Let l = -2 + -3. What is the third smallest value in c, t, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 14*s - y, 10*s + 14*s - 2*y - 10 = 27*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ttbtttttttbtt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 233*s - 237*s - 139660, 0 = -8*c + s + 558505. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*b - 18 = 6*l, 2*l = -3*b - 19. Let w(x) = 2*x - 25. Let m be w(12). Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -148, -131, -42, 149, 472, 957, 1634?\n\"Answer: 5*s**3 + 6*s**2 - 36*s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 + -266. Put j, -3, 3, -2 in decreasing order.\nAnswer: 3, -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5457 and 1078881.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2039 + 1?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 3 (c) 114 (d) 1 (e) -0.4 (f) 0.2 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Put 1, 11422376, 10 in increasing order.\nAnswer: 1, 10, 11422376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oubuhudouduu. What is prob of sequence ub?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936014.\nAnswer: 2, 31, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -69340?\nAnswer: -1\/69340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 25*i - 97. Let v(a) = a**2. Let x(f) = -t(f) + 4*v(f). List the prime factors of x(-11).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 4, 5*d - 21 = 5*a - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4400 divided by -50\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from pvqv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a - 2. Let v(u) = -9*u + 3. Let t(m) = -11*n(m) - 6*v(m). What is t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 - 216. What is the second biggest value in -2\/11, 5, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/60*20*24\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*d - 18 = -0, 4*d - 12 = 0. Solve 3*a + 0*a = -m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:48 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42712?\nAnswer: 2, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -5*l**7\/42 + 59*l**6\/6 - 899*l**5\/4 + 4205*l**4\/12 - 21*l. Find i, given that x(i) = 0.\nAnswer: 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/30 - i**4\/24 - 2*i**3\/3 - i**2. Let c(t) = -t**3 + 6*t**2 + 3. Let h be c(6). What is the tens digit of o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 6. Let t(n) = 2*n**2 - 222*n + 295. What is the remainder when t(110) is divided by u(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 - 0.03. Let d = -10 + 8. Which is the nearest to -5? (a) d (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020210 - -222?\nAnswer: -1012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {j: 4, f: 3, o: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -14 - (1 + -9 + -12 + 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 3*w**2 - 4*w**2)*(39*w**2 - 132*w + 132*w).\nAnswer: -273*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181763 + 76219 = 82*r + 46996. List the prime factors of r.\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*v - 1641*v**2 + 671*v - 5097*v**2.\nAnswer: -6738*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740572577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 1060 = -8*n - 4*r, -5*r = -4*n + 1064. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -326, -611, -978, -1427?\nAnswer: -1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, -22 in decreasing order.\nAnswer: -4, -14, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 s when three letters picked without replacement from yyyjjyss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.65012 rounded to 2 dps?\nAnswer: 5.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 33 - 149 = -4*s, -5*s + 2*n = -117. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6094 + 6094. Let k = -1 - -2. What is the third smallest value in k, c, 0.9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21*((-2)\/(-12) - (-228)\/(-1152)) and -103\/12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {e: 4, c: 9, l: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1990601097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48580.42 millennia in months?\nAnswer: 582965040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 - -13 - 11\/6. Which is greater: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 5*d - 21. Let r be q(-9). Suppose 11*v + 476 = r*v. Is 37 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-7)*w**(2\/5))\/((w*w**(-4\/5))\/((((((w**(2\/5)*w)\/w)\/w*w)\/w*w*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1509.\nAnswer: -1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13*b. Let c(z) = -1 - 138*z**2 + 267*z**2 - 127*z**2 - 3. Calculate y(c(x)).\nAnswer: -26*x**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -20, 0 = -k - 2*c + 5*c - 3. Suppose 0 = -k*d + 4*d + 60. Suppose d = 4*h - 2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 10 = -t, -17*t + 6 + 22 = -5*t + 2*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -516 - -515.999998563. What is h rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-12) - (-6 + 9). Let t = -24\/19 + 254\/171. Put p, -24, t, -5 in ascending order.\nAnswer: -24, -5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2 + 5*t - 4. Let p be z(-6). Suppose 5*r = -l - p, -3*r + 2*r + 48 = -2*l. Let j be (2 + -1)\/((-2)\/l). Solve -4*k - j = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 10*f - 2. Let c be x(-10). Let o be (-112)\/40*5\/c. Solve 3*m + 2*p = -m - 2, -3*m + 4*p = o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 + 6*u + 22. Let d(h) = -2*h**2 + 2*h + 7. Let y(x) = 5*a(x) - 16*d(x). Let z be ((-6)\/4)\/(6\/8). Give y(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 + 0.8. Let o = 2 + q. Let m be 1 + -2 + 3\/5. Which is the smallest value? (a) m (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 - 10 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 2*i + 2*i + 1 - 4*i.\nAnswer: 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6086526071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 41 + (-3 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 + (39\/(-18) - 7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 2*g + 4 + 3 - 336*g**2 - 7 + 0.\nAnswer: -336*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = 11*x - 173 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - 1.6. Sort 1\/3, a, -0.4 in decreasing order.\nAnswer: 1\/3, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 99940*f + 399680.\nAnswer: 5*(f - 19984)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 - p**4 + 5*p**4 + (1 - 1 + p)*(0*p**3 - p**3 - p**3).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -907464 + -21853\nAnswer: -929317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 528\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12661476 (base 8) to base 11\nAnswer: 1672369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3484, 0.3, -65 in ascending order.\nAnswer: -3484, -65, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91917, 183830, 275743, 367656, 459569?\n\"Answer: 91913*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 10*l**2 - l + 1. Let g be d(11). Let c = g + -150. Let u = c + 99. What is the greatest common divisor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 30536?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4 - 330\/(-44). Suppose 0 = c*a - 2*a - 24. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3 + 1\/12*m**4 + 0 + 7\/2*m**2 + m. What are the prime factors of p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + ((-9)\/(-30) - 1). Let q = -77\/30 - y. Let t be 1\/(-2) + 10\/16. Which is the nearest to -2\/5? (a) -1 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1 - 0\/(-1)). Let t be v + 12*(-1)\/(-7). Let d(l) = -l**3 + 6*l**2. Let b be d(6). Which is bigger: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4136387?\nAnswer: -4\/4136387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 193?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 260*y + 8*y - 2 + 47*y to the form n*y**2 + b + h*y and give h.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22\/33)\/(6\/(-63)))\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239751291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.023026 - -0.011974. Let q be ((-6)\/(-5))\/(6\/(-20)). Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9916.02 nanoseconds in hours?\nAnswer: 0.00000000275445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139860703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, c: 16}. Give prob of picking 4 h.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -682*h**3 - 2*h**2 + 151*h + 154. What is g(-1)?\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 10. Let y be u(-5). What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/((-80)\/(-36)))\/((-9)\/180). Calculate the remainder when 15 is divided by (-2)\/(7 + g\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12859982 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 9. Let m be i(3). Does 8 divide 1\/(m\/(-15))*112\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -44. Sort g, 0, 4.\nAnswer: 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*o + 726*o = -731*o - 444 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178.7 - -182.7. Which is the third smallest value? (a) f (b) 5 (c) -3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9132609393 and -33.\nAnswer: -9132609426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-2)*5\/1. Suppose -a = -0*i - 5*i. Suppose 53 = 9*x + 8. Solve 0 = i*v - v + x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2701*m**3 + 1. Suppose -3*g - 14 = -g. Let q(p) = p + 8. Let z be q(g). Let k be h(z). What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -36*l**2 + 382*l - 2644. What is k(11)?\nAnswer: -2798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -3*h - 0*h, -4*g + 3*h = 7. Let m(r) = -5*r**2 - 4*r**2 + 7*r**g. Let x(q) = 27*q**2 + 23*q**2 + 18*q**2 - 66*q**2. Give m(x(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.9999748 + 18. Round r to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 less than or equal to -1\/1199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/7337 and 91\/50692?\nAnswer: 557612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-207)\/(-46) - (0\/(-3) - -4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 107 = y, y + 226 = 3*y + 5*a. What is the smallest common multiple of 648 and y?\nAnswer: 26568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/7 + 68*i\/7 - 450\/7 = 0.\nAnswer: 9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(h**3 - 4*h + 4*h) + 3*h**3 + 2*h**3 - 4*h**3 - 3*h - 16042470 + 16042470 + 131*h**3.\nAnswer: 133*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-588)\/66)\/((-9)\/((-990)\/(-10)))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22101 (base 3) to base 6.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 3984\/540) + (-2)\/9. What is the nearest to 2\/3 in -3\/2, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(-188))\/(((-3)\/(-54))\/((-8)\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459808963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-120))\/((-15)\/45)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 81024\/5064*22\/(-32)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5254612*a**3 + 698*a**2 + 3300.\nAnswer: -31527672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11895 + 11893. Which is the second biggest value? (a) -0.3 (b) -0.2 (c) i (d) -4 (e) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(2*z - 2*z + 2*z**2) + 7*z - 3*z + 2*z - 2*z**2 to the form w + r*z**2 + y*z and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 times -15410\nAnswer: 86296","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0*l)**(-39))**27*(l**3\/(l*l\/(l\/l**(-1\/3))))\/(l**(-1\/3)*l*l**(-4\/7)) assuming l is positive.\nAnswer: l**(-44179\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2.18.\nAnswer: -0.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 328?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 19.4. Let n = q + -18.9. Let o = 0.192 - 0.242. Sort o, 2, n, 3 in decreasing order.\nAnswer: 3, 2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-12) + 4\/24. Suppose -u*z = -10 - 18. Solve 5*v - 4*s + 41 = -0*s, 2*v = s - z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Suppose 3*s - 5*p = 82, -5*s = -0*p + 2*p - 116. Let c = 21 - -3. Let u(f) = -f**2 - c + s. Determine u(l(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 83*m**2 - 10027*m + 27501. What is c(118)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57880 = -13*q + 90216. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1707\/763? (a) 6 (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.05 (b) -0.07 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 189058*q - 189053*q + 180, 0 = -4*g - 5*q + 144 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21*p - 10. Let s(c) = -21*c - 12. Calculate 8*s(h) - 10*u(h).\nAnswer: 42*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-612)\/54)*4*(-36)\/4\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p**4)*(1782*p + 1105 - 225*p - 1105).\nAnswer: -3114*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31193, 30678, 30161, 29642, 29121, 28598, 28073?\n\"Answer: -x**2 - 512*x + 31706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 10. Let n be g(3). Let t = 11 + 14. Let a = -12 + t. What is the highest common factor of n and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 234, 331, 428, 525?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 5810 and -0.2.\nAnswer: 5809.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -350183, -2\/9?\nAnswer: -350183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 484 in 1, 3\/5, 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -38*o + 42*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2650568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16612992 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*c = -99, -w - c - 33 = c. Let i be 4\/(-6) - (-77)\/w. Let u be (i - (3 + -106))*6300. Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**4 + 537*t**3 - 39*t - 20.\nAnswer: 48*t**2 + 3222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70016487785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-168)*3\/((-45)\/40).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*v - 34*v - 147. Let q = 15 - 1. Calculate the highest common factor of v and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44.85 - 3\nAnswer: -47.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*(-31)\/(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/11))\/(((h*h**(-4)*h)\/h)\/h))**(-2\/15) assuming h is positive.\nAnswer: h**(-116\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-17)\/(-2) - 1)*12\/18. Solve f*q - 4 = 2*t + 9, q + 19 = -5*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2442 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9128288332 to the power of 1\/2, to the nearest integer?\nAnswer: 95542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 + 65*n**4 + 400*n**3 - 2860*n**2 + 4960*n - 2560 = 0.\nAnswer: -8, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + ((sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 1)) + -3 + (sqrt(1584) - ((sqrt(1584) - (-1 + sqrt(1584))) + sqrt(1584))*2))*3)**2)*5.\nAnswer: -6440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 18*z = 4*p, 5*z = -p - 11. Is 2\/5491 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 1102427819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**8\/168 + s**7\/175 - s**6\/150 + s**2 + 17. Let m(p) be the second derivative of l(p). Factor m(t).\nAnswer: 2*t**3*(t + 1)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010002121211121 + -21?\nAnswer: -1010002121211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.67775ml to litres.\nAnswer: 0.00767775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:56 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2387908 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16635 is divided by 3727?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -288.9 + 273.7. Are f and -4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2226 and 5076246.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*r - 14, -6 = 5*l - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7954212 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1258989 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z - 2*z + 0*z)*(-3*z + z - 2*z + (-z - z + 0*z)*(0 + 0 + 1) - 2*z + 0*z + 4*z) in the form v + n*z**2 + s*z and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58975756 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s**2*w**2 + 4*s**2 - 162595*s*w**2 - 1711*s*w + 2*s + w + 2 wrt w?\nAnswer: 12*s**2 - 325190*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1056)\/(-528)*4\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 230769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1362 + -1362. Solve -3*l - 3*w - 5 + 2 = n, -5*w + 30 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 4*t**2 + 2*t + 3. Let b be g(-4). Suppose -1 = 2*d + m, d + 3 = -38*m + 37*m. Put d, 3, b, 1 in decreasing order.\nAnswer: 3, d, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2244 (b) 0.5 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414728 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 + 4*s**2 - 76 - 180)*(5*s - 4*s - 2*s) to the form x*s + t*s**2 + r*s**3 + n and give x.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-388)\/20 + (-6)\/10. Let t = k - -40. Suppose 6*i - t = 4. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906*n - 2812 - 11380 = 1210 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7850292913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkiidykijkdlj. Give prob of picking 1 k, 1 d, and 1 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 - 10*p + 8. Let v = -1 + 7. Calculate the lowest common multiple of j(v) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from {f: 7, d: 11, p: 1}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 408 - (3 - 5)*(-9)\/6. Let g = h + -289. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 + 10*o - 6. Let d be x(-6). Let w = d + -30. Determine l so that 25*l**5 + w*l**4 + 5*l**3 - 6*l**5 + 4*l**2 + 7*l**3 - 15*l**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 409.0949 days?\nAnswer: 9818.2776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let h be j(9). Let u be 0\/(h\/3 + 2). Suppose -2*c = -0*c - 6. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.2 (b) -0.69 (c) 49660 (d) 1.9 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 94400000 to the nearest one million.\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66 - 69) + 0 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**2 + f**2 - 7 + 9 + 2*f)*(2 - 2 + f).\nAnswer: -8*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 10*w**2 + 22*w + 2. Let x(m) = 8*m**2 + 262*m - 263. Let s be x(1). Give d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18816 and 91\/576.\nAnswer: 56448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46160, 184052, 413902, 735734, 1149572, 1655440?\nAnswer: 2253362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*f - 5*c, 5*c = 2*f + 2*c + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (691 - 5828 - 2932)*(-3*j**3 + 3*j**3 - j**4) in the form y*j**3 + t*j + c + b*j**4 + r*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3420)\/1720 - ((-4)\/(-2) - 4). Which is the closest to 1? (a) -2\/5 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246985405 >= 1246985406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2114, 2049, 1874, 1541, 1002?\n\"Answer: -8*r**3 - 7*r**2 + 12*r + 2117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7888 and 3112512?\nAnswer: 52912704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 7, -10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 + 3. Is h(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 = d, -4*d + 1 = 5*k + 11. Suppose -5*z = -k - 3. Let s = 2 + -5. What is the nearest to s in 3, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 0 + 2\/13*q**4 + 346\/13*q**2 + 348\/13*q**3 = 0. What is q?\nAnswer: -173, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h - 1. Suppose -2*m = 4*n + 6, -m + 4*n + 9 + 0 = 0. Let j be w(m). Let b = j + -2. Let k(s) = s**3 - 5*s**2 + 5*s - 5. What is k(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:19 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449104 is divided by 485?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9009 divided by -819.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1479 + 3506. Suppose 7*v = -627 + o. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 5*p**4 + p**3 - 5*p**2.\nAnswer: -p**2*(p - 5)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 30*h + 8. Let t be (-5)\/((-60)\/184) + (-4)\/(-6). Suppose 6*g + t = 64. List the prime factors of o(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - y. Suppose 4 = -2*i + 4*m - 4, i = 3*m - 7. Let d(n) = -n + 1. Let h(s) = i*d(s) - 2*w(s). Find f, given that h(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 24, -1, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - u)*(21 - 2*u**2 - 29*u - 43*u + 65*u).\nAnswer: 4*u**3 + 14*u**2 - 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b7aa27 (base 13) in base 16?\nAnswer: 8b623c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2730 = 5*x, 2*x = -2*x - 2*g + 2160. Suppose -c + 0*f + 5*f + 13 = 0, -3*f = 2*c. Suppose c*o - 337 = x. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 702 = -11*s + 6*s. Solve -106 = -17*d + s for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1648297*j**2*u**3 - 28*j**2*u**2 - j**2 - 5*j + 2*u**2 - 43*u + 57280 wrt u?\nAnswer: -9889782*j**2*u - 56*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -2, -3 in decreasing order.\nAnswer: 5, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c1 (base 13) in base 6?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*n - 27. Calculate the remainder when 9 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195510728 divided by 556.\nAnswer: 351638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(255))\/sqrt(5))\/(sqrt(432) + (sqrt(432) - 5*(sqrt(432) + sqrt(432)*4 + sqrt(432)))))**2.\nAnswer: 17\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 35*r**2 - 13*r - 68. Let b be u(17). Let g be 1\/(-3)*5\/2. Which is greater: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 + 5*u**3\/3 - 4*u**2 + 4*u - 12. Let m be g(-6). Suppose 12*l = m*l - 124. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -4 - 0\/4. Is 8 a factor of 297\/18 - 1\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1212 - 2422 - 2338 = 0. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 95*a**2 - 46*a**2 - 60*a**2 - 5 + 78*a - 73*a. Let u(b) = 60*b**2 - 28*b + 28. Calculate -5*u(o) - 28*x(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022033 - -202?\nAnswer: 1022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1980267*d**3*n**2 - d**3*n + 16*d**2*n**4 + 959*d*n - 2*d - 237*n wrt n?\nAnswer: -3960534*d**3 + 192*d**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7 + 20*c - 5 - 34*c - 11 + 12*c. Let y(h) = 6*h + 26. Calculate 10*g(i) + 3*y(i).\nAnswer: -2*i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6695 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 1377*m - 113172613*m**2 + 113172616*m**2 - 2 - m**3 to u*m**2 + y*m**3 + v*m + f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/36 - 7*q**4\/108 - q**3\/27 + 27*q. What is a in t(a) = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 21 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/5 of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5659 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4470208 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3146.33mg to tonnes.\nAnswer: 0.00000314633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -30. What is the biggest value in o, 2, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5238)\/261 - -14) + 6?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 35 + 92)*(3*u - 3*u - 2*u) + (0 + 0 - 1)*(-2*u - 7*u + u) to t + z*u and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 0*m + 0*m. Let d be 20\/15 + (-4)\/3. Let p(g) = -g + g + g + g + d. What is p(t(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1428\/952)\/(5*(-27)\/(-3)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -796*n. Let y(j) = 330*j**2. Give m(y(o)).\nAnswer: -262680*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + (91 - 37) + 42 - (-1 + 10 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*s**3 - 5*s**3 - 9*s**3 - 3*s**2 + 2*s**4 + s**4 + 3*s.\nAnswer: 3*s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(2 + 14\/(-6)). Solve -j*u - 4 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27954985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(((n\/(n**(-6\/11)*n))\/n)\/n)\/n)*n)\/((n\/(n**3*n)*n)\/n) assuming n is positive.\nAnswer: n**(71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c + 42. Let d(v) = 9379*v. Give k(d(t)).\nAnswer: 28137*t + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 3*d**2 - 6*d - 5. Calculate r(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -17, -10, 17, 70, 155?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2050*t + 2050*t - 4092*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*r + 5 - 7 = 7*f - 11, -r = -4*f + 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -15*p + 122. Suppose -5*u + r + 3 = -4*u, -5*r - p = 4*u. Which is bigger: -6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -32. List the prime factors of 3 + (-50)\/q + 2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, -31, -15, -1, 8 in decreasing order.\nAnswer: 8, -1, -5, -15, -20, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**4 + 1950699*r**2 + 4022259*r wrt r.\nAnswer: -24*r**2 + 3901398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0096 - 0.4416. Let l = k + -1.568. Which is the nearest to 3? (a) l (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05654, -5, -3.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*c - 9*c - 4*r, -r = 4*c + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 24. Let g be j(13). Suppose 2\/5*z**g + 0*z - 2\/5 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2824621 (base 11) to base 4.\nAnswer: -102210031011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:38 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruk when three letters picked without replacement from kurkykuuku?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.3 - -8.3. What is the third biggest value in 0.3, n, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1313*f - 199296 = -1337*f. Calculate the greatest common divisor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3811*g + 11419*g + 12 - 3803*g - 3821*g in the form q + x*g and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*a. Let b(y) = -a + 1 + 2*y. Let k be b(2). Solve 5*i - i - k = 0, -3 = -4*n + 5*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5 = 2*i, i - 20 = 2*h - i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 11:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -850*12855.\nAnswer: -10926750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -89420999.9 rounded to the nearest one hundred thousand?\nAnswer: -89400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*q**2*s**3 - 12*q**2*s**2 + 106*q**2 - 2*q*s wrt s.\nAnswer: 78*q**2*s - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-196)*(-2)\/5*-2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*1\/49 + (-55340)\/(-35). What is the highest common factor of a and 744?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8196, -24, 2 in descending order.\nAnswer: 8196, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o. Suppose -34 - 18 = -26*b. Let x(d) be the second derivative of 0*d**2 + 0 + b*d - 1\/6*d**3. Determine m(x(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 1 + 3 + 21*a - 1 in the form p + o*a and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 8*t = 75. Let v(j) be the first derivative of -5 + 7\/2*j**2 - t*j. What is the first derivative of v(l) wrt l?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Let l = -2.5 + 2.2. Which is the nearest to -2\/7? (a) r (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2*1) + 1. Suppose -j - 2*s + 5 = 1, j - 2*s - 20 = 0. Let c be 6\/j*(-2 + 10). Solve c = l + g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10659 - -2313040\/217. Calculate the common denominator of p and 99\/2.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900666 divided by -300222.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tht. Give prob of sequence tt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 3*g + 6. Let x be j(3). Solve 2*l + 4*n - x*n = -6, -3*l = -4*n + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(343)*1*-6 - (5 + sqrt(343) + sqrt(343) + -2)))**2 + 3.\nAnswer: 3024*sqrt(7) + 197652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y = 59*y - 12. Let s be (28\/12 + y)*(-90)\/(-6). Let f be ((-5)\/2)\/(s\/8). Solve 4*d - f*d - 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*d + 26*d + 29*d - 222*d**2.\nAnswer: -222*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 5*h + 1. Let l be v(6). Let b = 6 - l. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -7 - -3) + (4 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u**2 + 8. Let w be y(6). Let s be 2\/79 + 964\/(-38078). Put w, 5, s in descending order.\nAnswer: w, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**6\/120 - o**5\/60 - 19*o**2. Let r be p(2). Suppose 0 = -14*s + 8*s + 30. Solve 4*x - 3*x = 4, -r*h = s*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 624609679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 852 and 1228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 - 9*m**2 - 8*m**2 + (2*m - m - 2*m)*(-2*m - 3*m + 7*m) - 3*m + 3*m - 2*m**2 - 7 + 6*m**2 + 7 + (m - 2*m + 3*m)*(-m - 5*m - m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = t - 12, 4*t - 116 = -2*r - 122 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6)*-2*(-24 + -9). Let a(j) = 8*j + 163. Let t be a(o). Is -99 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 27237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738 bigger than 582.49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197 - 191. Let m(w) = 365*w + 95. Is m(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 m, and 1 u when four letters picked without replacement from mmmmmumbmummmbmbm?\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 2. Suppose 3*k = -v + 19. Suppose 1 = k*z - 19. Sort 2, 5, z in ascending order.\nAnswer: 2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 42*w. Let b(h) = -21*h + 11. Let v(s) = 0 + 19*s - 39*s + 16*s + 2. Let i(f) = 2*b(f) - 11*v(f). Give i(c(y)).\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 + ((0 - 6) + -2 - (-1190 + 1159))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141027 is divided by 10073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16826937 is divided by 14696.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -473 - -713. Calculate the greatest common factor of 816 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 10*q + 1890. Is -187 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -4, 10, 40, 92, 172?\n\"Answer: s**3 - s**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/4321?\nAnswer: -1\/4321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59120 is divided by 413.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1162, 2324, 3498, 4690, 5906?\n\"Answer: n**3 + 1155*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 304132 + 0?\nAnswer: 304132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.47408kg in nanograms?\nAnswer: 63474080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2)*(-81*d**2 + 205*d**2 + 143*d**2) - 2*d**2 + 5*d**2 - 2*d**2 in the form v + a*d + h*d**2 and give h.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g + 1. Let k(r) = r**2 - r - 1. Let n(q) = 4*k(q) + 3*l(q). Let v = 2 + -1. What is the remainder when v is divided by n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 576?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) -0.09 (c) 2\/7 (d) 10 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1)*d))**(4\/31)\/(d**(5\/2)\/(d\/d**(-2\/9))))**12 assuming d is positive.\nAnswer: d**(-1282\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 27. Let s be j(11). Let r(w) = w + 1. Let h(i) = 2*i**3 + i**2 - 6*i - 6. Determine s*r(y) + h(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 3*b - 520. Calculate the highest common factor of 65 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/(-56))\/((-2)\/28). Calculate the highest common factor of k and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -23. What is the fourth biggest value in -1, v, -4, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*w**2 + 20541*w + 1093440.\nAnswer: 3*(w + 67)*(21*w + 5440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51545800 is divided by 162.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 121*k**2 + 526*k + 526. Suppose -5*s - 3*l + 304 = -6*l, -2*s + 4*l = -116. Calculate the remainder when b(-1) is divided by s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -920, -1919, -3280?\nAnswer: -5003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0434 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**7\/42 - n**4\/6 + 7*n. What is the third derivative of o(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 11*g**2 - 10*g + 54. Let f be k(-11). Suppose 0*x + 3*x = 615. Suppose -f = -4*w + 2*a + 3*a, 5*w - x = -a. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/6 - r**2 - 209*r\/6 + 7.\nAnswer: (r - 7)*(r + 6)*(5*r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/114 and 32\/3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 2. Let a(j) = j + 2. Let y(s) = 4*a(s) + 3*v(s). Calculate y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 13. Let x(u) = 5*u - 14. Let n(k) = -4*d(k) - 3*x(k). Determine n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**2 + 46*y + 26. Calculate the smallest common multiple of 225 and w(7).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 162 = 4*q, 5*q = -n - 47 + 131. Find the first derivative of 6*w**2 - 5*w**2 + 35*w**2 - 3*w - n - 15*w**2 wrt w.\nAnswer: 42*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0*z**2 + 0 - 1\/3*z**3 - 4*z. Let u(b) = 1 - 1 + b**2. What is q(u(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -0.2. Let c = -4.6 + f. Let l = 8 + c. What is the nearest to -2 in l, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooocc. Give prob of sequence cooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/39 < -1\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 7. Let f be c(-6). Let h = 16 - 14. Let s(y) = 0*y + h*y + 1 + 8*y. Give s(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206 and 6798.\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/(15\/15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 225, 2 in descending order.\nAnswer: 225, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -45. Suppose l - z*l = -40. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 4. Let o be d(5). Suppose 0 = 3*h - 2*h, 0 = -2*v - 5*h. Suppose -2*w + w + 15 = 5*l, -4*w = -5*l - 10. Sort o, v, w in descending order.\nAnswer: w, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(18) - (6*(-1 + sqrt(2)))**2) + (5 + (sqrt(24)\/sqrt(3) - sqrt(8))\/sqrt(4)*-6)**2.\nAnswer: -83 + 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8376258?\nAnswer: 2, 3, 11, 126913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**3 + 3*q**2 + 7*q. Let z(m) = 3*m**3 + 2*m**2 + 4*m. Let a(j) = -4*t(j) + 9*z(j). Let v be a(7). Is v\/35 + (-109)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1)*x)**(6\/17)*(x\/(x\/x**0))**(-41) assuming x is positive.\nAnswer: x**(12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25630, -22044, -16068, -7702, 3054, 16200, 31736?\n\"Answer: 1195*q**2 + q - 26826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2\/5 + 34*y\/5 + 24\/5 = 0. What is y?\nAnswer: -2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:06 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-2 - 1 + 2)*(58*x**4 + 65*x**4 - 9*x**4).\nAnswer: -228*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4859, 4888, 4937, 5006, 5095, 5204?\nAnswer: 5333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 7 in descending order.\nAnswer: 7, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.2 (c) 1\/4 (d) -0.47 (e) 0.3 (f) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 1, r: 1, o: 3, z: 1, m: 9}. Give prob of sequence amoa.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1305.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.1. Let o = z + 0.2. Let a = 0.99 + 0.01. What is the closest to 0 in o, 3, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012243236 rounded to 4 decimal places?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18723*f**2*l**2 + 2826*f**2 + f*l - 2*f - l**2 + 2*l wrt l?\nAnswer: 37446*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/4 - 27\/10. Let l(a) = 3 - 4*a + 10*a + a + a**2 - 10*a. Let f be l(3). What is the nearest to 1 in 2, s, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1053*o - 425*o - 1003*o + 2 - 484*o.\nAnswer: -2965*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*(d*d\/(d**(2\/17)*d)*d)\/d)**(-43) assuming d is positive.\nAnswer: d**(-645\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 2:00 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Let c(m) = -13*m - 41. Let o(h) = 36*h + 121. Let d(l) = 11*c(l) + 4*o(l). Let j be d(-27). What is the second biggest value in g, j, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*n**2 - 125*n**2 + 50*n**2 + 26*n**2.\nAnswer: -158*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.766599 rounded to three dps?\nAnswer: 0.767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2\/99)*f)\/f**(-1\/41))\/(f*f\/((f**(-1\/6)*f)\/f)*f*f**(-2\/15)) assuming f is positive.\nAnswer: f**(-1183\/40590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-17.1.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = -16. Is g less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -7\/6*d**3 + 1\/20*d**5 + 0 - 7*d + 7\/12*d**4 - 5\/2*d**2. Let k be (-20)\/(-70) + (0 - (-116)\/(-14)). Give p(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**2 - 3159080*z - 3159075 = 0.\nAnswer: -631815, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from nvfvv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*g - 13*g**2 + 14*g**2 + 32*g**3 - 33*g**3 - g**4 + (0*g**3 + 12*g**4 + 0*g**3)*(-2 + 1 + 2).\nAnswer: 11*g**4 - g**3 + g**2 - 50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 2. What is r(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.82*-1805.\nAnswer: 61045.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -298+-1860892\nAnswer: -1861190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -755*p**3 + 174*p**2 + 180*p + 677.\nAnswer: -4530*p + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49513.05l to millilitres.\nAnswer: 49513050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.9, -3\/11, -6\/7, 0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 614 - -127 - (-1)\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**3 + x**2 + 2*x + 1. Let w be q(-1). Let c = w - 6. Suppose 26 = z + 2*z + c*u, 0 = 2*u + 8. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (183\/(-976))\/(4\/(32\/(-6)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 6. Let u be k(4). Let d(j) = 54*j**2 - 6*j - 4. Let p be d(u). Suppose -43 = 4*m - 123. Calculate the highest common factor of p and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*j - 33*j - 6*j**2 + 52*j**2 to y*j + r + h*j**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10871893 to the nearest 100000.\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 452.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491388815 is divided by 2078.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 = -60. Suppose 0 = -a + l + 3. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21186 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 13*s + 33. Let v be u(4). Are -32 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79098656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -216 >= -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 - 2*i**2 + 0*i**2)*(-2*i + 3*i + 2*i - 2).\nAnswer: -21*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m - m)*(0 + 18 + 4 + 17) as j + c*m and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*q = -46, -q = -3*f + 4*f - 26. Suppose -f*m + 7*m + 11016 = 0. Suppose -26*s + m = -23*s. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171612 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/3, -1937, -179.\nAnswer: -1937, -179, -2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 6*z**2 - z + 3. Calculate q(3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwokoccup. Give prob of sequence ou.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -41.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 138*m**2 + 267*m + 95. Let j be a(67). What is the greatest common factor of j and 5712?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146 and -31?\nAnswer: -4526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*s + 5550 = 42*s + 5949 + 10885 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6050*s*z**4 - s*z + 19*s - z**5 + 2*z + 12 wrt z?\nAnswer: -72600*s*z**2 - 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103400252 (base 6) to base 12.\nAnswer: -753088","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Solve 12*t - 2833692 + 2833128 = 0 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 666980 + 92330 = 0. What is q rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38683\/70 + 3785\/7. Calculate the common denominator of 77\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 7*y**7\/10 - y**6\/60 + 19*y**5\/20 + y**4\/12 + 77*y**2. What is the third derivative of w(a) wrt a?\nAnswer: 3528*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 7}. Give prob of picking 2 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 4*b + 6. Let y be j(4). Suppose 15 + 473 = 8*d. Let g = d - y. Calculate the smallest common multiple of 1 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + a2ab78?\nAnswer: a2ab7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -5*k**7\/7 - 3*k**5 - k**3\/3 + 22*k - 116. Find the third derivative of n(c) wrt c.\nAnswer: -600*c**3 - 360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 less than 233.5?\nAnswer: -59.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/5)\/a*a*a)**(-1)*a\/a**(-8)*a*a**(-8) assuming a is positive.\nAnswer: a**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1044, -2090, -3136?\nAnswer: -4182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w - 1. Let k(y) = 63*y**3 - 2*y - 41. Let i(d) = k(d) - 2*x(d). Differentiate i(b) wrt b.\nAnswer: 183*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25838272 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -95, -153, -211, -269?\n\"Answer: -58*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2*(-48)\/24)\/(((-748)\/(-165))\/34).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4473207 or 42?\nAnswer: 4473207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/4))**(-30)\/(i**(5\/2)*i\/((i*i**(-7))\/i)))**(-30) assuming i is positive.\nAnswer: i**990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by ((-675)\/20)\/5*-4?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2))\/((l\/(l\/(l\/(l*l\/((l\/(l\/l**28))\/l)*l))*l)*l)\/l*l)*l**(-4\/5)\/l**(-11))**(-14) assuming l is positive.\nAnswer: l**(826\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 188, 300, 432, 590, 780?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j + 1. Calculate h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*o**4\/3 + 1628*o**3\/3 + 544*o**2\/3 + 16*o.\nAnswer: 4*o*(o + 3)*(11*o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-21)*(-6)\/(-16)*4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32246, 64497, 96748, 128999, 161250?\n\"Answer: 32251*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - 28 - 9) + -20 + -17 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 972, 4 in descending order.\nAnswer: 972, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*v + 3016 = -3152 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1260642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/7 + 0 + -1. Suppose 0*g + 5*g = t + 207, 456 = -b*t - 4*g. Let h be t\/(-9) + 3\/9. Solve -l = 4*l + h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-78))\/((-3)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*v + 3*y + 447, 0 = -v - 4*y + 83. Let w = 57 - v. Let b be (-217)\/w + 1\/(-6). Solve 3*m - 17 + b = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1089\/2 + 12*r**2 + 33\/4*r - 3\/4*r**3.\nAnswer: -3*(r - 11)**2*(r + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/322)\/((-832)\/9568)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/1020 + 23*n**5\/102 + 239*n**4\/68 + 363*n**3\/17 + 1874*n**2. Factor p(w).\nAnswer: -2*(w - 121)*(w + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 177 - 103 - 97 - 4*l. Let b(m) = -m**2. Determine a(b(x)).\nAnswer: 4*x**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.11 - 5.59. Let t = o - -31. Round t to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - 2*x**2 + 1. Let a be w(1). Let s(z) be the first derivative of -z**4\/4 - z**3 + 3*z**2 + 3*z + 5. Determine s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9338.4 and -3.\nAnswer: 28015.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 4. Let b be h(0). Sort b, 1, 2 in decreasing order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 6*k - 7. Let g(a) = a**3 - a**2. Let f be g(1). Suppose f*c + c = -7. Let r be x(c). Put r, -5, -4 in increasing order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 94971*g + 3274. Let r be b(6). Round r to the nearest 10000.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 6*b**2 + 5. Let z be g(6). Let s(c) = 11 - 16 + z + 5*c. Let u(n) = 3*n. Let h(v) = 2*v. Let k(a) = 8*h(a) - 5*u(a). Calculate k(s(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 89?\nAnswer: 7\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2 + -5*-4*sqrt(567))*4)**2 + -3.\nAnswer: 11520*sqrt(7) + 3628857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/55*-517)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1920 = 32*o, 78*m = 77*m - 5*o - 300 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - (26 - 5))\/(-6). Sort -2, 0.3, q in descending order.\nAnswer: q, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y + 36. Let b be r(0). Let d = 18 - b. What is the units digit of (6\/4)\/((-3)\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - -36. Let i be d\/20 + 1\/(10\/(-4)). Suppose 3 = -i*s - 5*l + 2*l, -4*l - 28 = -2*s. What is the closest to 0 in 2\/3, 5, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -12 + -1 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzgzqzggq. Give prob of picking 1 g and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983847 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7509, -30015, -67531, -120057, -187593?\n\"Answer: -7505*n**2 + 9*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 20*m - 3. What is q(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8360 - -9287. Solve 899 = 7*u + q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 20*v - 120 = 0. Suppose -10*j + 5 = v. What is the nearest to 7 in -1\/3, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n - 0*n. Suppose 4*w = 11 - 31, h = -2*w + n. Calculate the highest common factor of 28 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*-919724\nAnswer: -2759172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 229122752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6303600494.\nAnswer: 2, 3151800247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 2*v + 3. Let t(f) = 1. Let w be (5 - 0)*(2 - 1). Determine w*t(m) - l(m).\nAnswer: -m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 4*s + 4. Suppose -u = -6*u + 20. Let v(r) = -2*r - 5*r + 2*r**2 + 4*r - u*r - 7. Determine 10*l(n) + 6*v(n).\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - 2 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 219352277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -4, 23, 5, 0.2, -26, -53?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(((-12)\/(-59))\/(-2)) and -57\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 523778785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*w - 23. Let k = 0 + w. Suppose -4*b - 5*u = -216, -5*b + 4*u - 8 = -196. What is the smallest common multiple of b and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1275 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 9. Let d be (2 - (-4 + 7))*0. Suppose d = -h - 1. Put 5, h, k in decreasing order.\nAnswer: 5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by -563.\nAnswer: 63\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7072445*m - m**2 - 1 + 3536188*m + 3536210*m.\nAnswer: -m**2 - 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - 3 - 0) + (1 - 14).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7658 - -16521.2342. Is t > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4 (c) -0.07 (d) -3817 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719 + 2845. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 49\/6 of a week?\nAnswer: 82320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose -14 - 11 = h*i. Put -3, -4, i in descending order.\nAnswer: -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414853?\nAnswer: 3, 7, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14615 + 13.98?\nAnswer: 14628.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 less than -1.9?\nAnswer: -2.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 78811.49 centimeters in meters?\nAnswer: 788.1149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + -4 - 3*sqrt(2)*2 - (sqrt(72) + 3 + sqrt(72) + 3)**2) + 0.\nAnswer: -329 - 149*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*-2*2\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 249\/52 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*i*x + 12*c**2*i - 2*c**2 + 2225*c*x - 85*i*x + 254*i + 18*x wrt i.\nAnswer: c**2*x + 12*c**2 - 85*x + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/4243 and 58\/9.\nAnswer: 38187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 11*q. Suppose v + q*v - 37 = 0. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1337 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 160524\/(-65520)*(3\/14)\/(3\/12)\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a\/(a\/(a\/((a*a\/(a*a*a\/(a*a**6)*a*a))\/a))*a)*(a*a**(-7\/6)\/a)\/(a*a*((a**(3\/5)*a)\/a)\/a*a*a*a))**(2\/51) assuming a is positive.\nAnswer: a**(-383\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 117173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 13 - 1. Let o be -1 - (p + 0 + 0). Let b(r) = 1 - 6 - 4*r + 2. Determine b(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6896 and 26722.\nAnswer: 213776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 2. Let y(q) be the first derivative of 22*q**3\/3 - 105. Determine m(y(r)).\nAnswer: -22*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 10*w + 2. Let m(x) = -25*x**4 + 36*x**3 + 620*x**2 + 200*x - 8. Let s(c) = m(c) + 4*z(c). Factor s(v).\nAnswer: -5*v*(v - 6)*(v + 4)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477 minus 3?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*l + 171*l + 48*l**2 + (-4*l + 0*l + 2*l)*(2*l + 2*l - 5*l))*(-2*l**2 + 5*l - 5*l)*(-l + 4*l - 2*l).\nAnswer: -100*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1457 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5248524250.\nAnswer: 2, 5, 20994097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 9*r + 357 = -4*z, -22 = -2*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 3*b - 1. Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12654805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18*(-1 - -2) - 2. Suppose 0 = -0*q + 2*q - 16. Suppose -q = 2*i - 18. Solve i*s - g = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*a - 3246 = 31*a + 3948 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 120 = 2*l. Suppose 2*i - 4*i + l = 0. Suppose -4*k = 2*h - 24, 28 - 10 = 4*k - h. What is the highest common divisor of i and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1309, -1445, -1613, -1813, -2045, -2309, -2605?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-12) - (-4)\/1. Suppose i*g - 11694 = -3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 502 or -1474274?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 30 = 2*y. Suppose -y = -5*k - w, -4*k - 5*w + 11 = -4*w. Solve -o = 0, 3*u - u + k*o = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1261, -1243, -1223, -1207, -1201, -1211?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 439 - 461 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 15696*m**4 + 15676*m**4 - 2 - 7*m**2 to y*m**3 + v + b*m + z*m**4 + j*m**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-9) - (-2)\/6. Let h(t) be the third derivative of t**5\/60 - t**4\/4 + t**3\/3 - 6*t**2. Let l be h(q). Solve l = 4*w - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46824 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2887685\/256 + 11280. Find the common denominator of a and -87\/104.\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1062*n + 779*n - 671*n + 922*n + 209*n to x + b*n and give b.\nAnswer: 2301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 428 minutes after 11:13 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3220 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 1620*a\/7 + 9792\/7.\nAnswer: -2*(a - 6)*(a + 816)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-18))\/((-4)\/150). Suppose -50 = 27*v - p*v. Which is bigger: v or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2262 by -24.\nAnswer: 377\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.61 + 0.04. Let c = -0.08 - 0.52. Let z = a - c. What is the second biggest value in z, -0.1, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 2, e: 1, y: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(1210)*6)\/(4*sqrt(54)\/sqrt(3) + (2*sqrt(2592) - sqrt(2592))).\nAnswer: 33*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142\/605 - 20\/121. Sort -5, -5\/2, r, 1.\nAnswer: -5, -5\/2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/v*v*v\/(v**(-1)*v))\/(((v*v\/(v\/(v**(-1)\/v))*v)\/v)\/v)**(-1\/3) assuming v is positive.\nAnswer: v**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*j**2*u**3*v**2 - 2*j**2*u**3*v + 3*j**2*u + 370*j**2 + 5901*j*u**3*v**2 - 2*j*u**3 - 11*u**3*v + 117*u**2 wrt v.\nAnswer: 158*j**2*u**3 + 11802*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = -4. Let s = d - -7. What is the units digit of (s + 42)*3\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (12 - (-15 - (-41 - -82))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {f: 16, l: 4}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 227419, 1817578, 6133729, 14538868, 28395991, 49068094, 77918173?\n\"Answer: 227166*y**3 - 3*y + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -29. Suppose -s = -2*c + 14 + 7, c = -x*s + 3. Suppose -12*d + c*d = -90. What is the smallest common multiple of d and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p + 8 = 0. Suppose -4*t + w = 5*w, -p = -4*t - 2*w. What is the second derivative of h - 2*h + 0*h**2 - 2*h**t wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 9502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520 + 2664 = -268*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 996060329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 44*n**6\/3 - 291*n**2\/2 - 31. Find the second derivative of y(u) wrt u.\nAnswer: 1760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.12 + 36.62. What is the nearest to -3 in 23, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 11 = i, 2*i = q + 3*q - 12. Let l(m) be the second derivative of -m**4\/12 + m**3 - 2*m**2 + 19*m. Calculate l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 2 + -153 + 181 + 27 + -3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 20*u**2 + 24. What is the lowest common multiple of 54 and g(20)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(1\/14)))\/(q\/(q*q\/q**7)) assuming q is positive.\nAnswer: q**(-83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1278 divide 2196882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31510411 (base 7) to base 8.\nAnswer: 12150346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10421*k**3 - 408*k**2 - 68*k + 76891. Let t(b) = 453*b**3 - 18*b**2 - 3*b + 3343. Let m(i) = 3*g(i) - 68*t(i). Differentiate m(h) wrt h.\nAnswer: 1377*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 131*q - 51. What is the remainder when 239 is divided by w(1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -72.46. Let s = p - 4.46. Which is the nearest to 0? (a) -2 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1203 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 62. What is the remainder when 22 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11*t - 38. Let l(u) = -u + 12. Let v be l(6). What is the remainder when (-27)\/v*(-22)\/3 is divided by q(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 160 = 30*o. What is the remainder when 6077 is divided by o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.55 + -0.6. Let a = -0.07 - t. Let j = a + 0.0199978. Round j to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -141600 - 3?\nAnswer: -141603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104116 take away -424.3?\nAnswer: 424.404116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 38 - 18*g**4 + (-g + 2*g - 4*g)*(-522*g**2 + 7*g**3 + 514*g**2 + g - 3*g**3) to the form p*g**3 + v*g + x*g**4 + s + a*g**2 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 13 - ((-13)\/39)\/((-2)\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.6, -23, -0.2, 15\/8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280.9337kg to grams.\nAnswer: 280933.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*4*20\/16. Suppose -m*h = 6 + 4. Let g be 0\/(h*(-2)\/(-2)). Solve 4*p - 4 = -g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3239?\nAnswer: 3\/3239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 5*x + 20. Let u be -268 - (x - (-1 - 1)). Let o = -177 - u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.1. Let v be (-6)\/(-15) - (64\/20)\/4. What is the closest to f in -2\/19, -5, v?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29106 (base 15) in base 7?\nAnswer: -1056264","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*w + 0*w = -28, 3*w + 86 = 4*q. What is the remainder when 59 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179685827?\nAnswer: 29, 31, 199873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -13010300?\nAnswer: 13010230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 3*k**2 - 5*k - 7. Let p(i) = -i**3 + 2*i**2 + 5*i + 7. Let g(b) = -6*m(b) - 7*p(b). Let v be (3 - -2)\/((-1)\/1). Determine g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 1. Let j(b) = b + 5. Let a be j(-7). Let i be (-2)\/(a - (-3 - -2)). Does 9 divide t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/(7\/(-4) + 3). Let z be (2\/(-5))\/(3\/(-15)). Let v = z - 0. Solve v*o = -a*h + 6, -h = 2*o - 3*h + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 10*k**2 + 5*k - 7. Let t(z) = z. Let i(n) = -l(n) - 5*t(n). Let y(m) = -5*m**3 - 142*m**2 - 56*m + 9. Let g be y(-28). Calculate i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15628497, 15628495, 15628493, 15628491?\n\"Answer: -2*f + 15628499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13205901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 5 = -4. Let j be ((-1)\/3)\/(4\/(-12)). Suppose -j = -2*p - 5. Which is the biggest value? (a) -1\/5 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 + -122. What is the remainder when o is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 409899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512424033 is divided by 6466.\nAnswer: 6465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001 + -22221100120?\nAnswer: -22221110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(sqrt(5) + -2) + 3)**2 - ((sqrt(320) + 5 + sqrt(320)*2)**2 + -4))*3 + -4.\nAnswer: -8653 - 702*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 4*d + 315. Let i be (84\/8)\/(-7)*d. Let h = -686 - -692. What is the highest common factor of h and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-1 + 34\/(-14))\/(344\/(-3612))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/6 + 973361*d\/3 + 947431636321\/6 = 0.\nAnswer: -973361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13224*x + 13211*x - 39658*x + 13222*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - l + 22, 2*y + y + 26 = 2*l. Let r be 6\/3 - 27\/y*2. Suppose 0 = 2*a + r - 31. Solve 2 = -3*b - 2*f - 0*f, -b = 3*f + a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = 3. Is 1555\/t + (-5)\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 919 = 2*q - 1196, -z + q = -54. What is the smallest common multiple of z and 1115?\nAnswer: 12265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160302467 is divided by 16030245?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3310*b*h**4 - 2*b*h**3 + b*h**2 + b + 567*h**5 + 518434*h**2 wrt h?\nAnswer: 79440*b*h - 12*b + 34020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*q**3 - 35*q**2 + 2*q + 16102 wrt q.\nAnswer: 33*q**2 - 70*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -3*m. Let f(i) be the third derivative of 1\/8*i**4 - 1\/30*i**5 + i**2 + m*i + 0*i**3 + 0. What is the second derivative of f(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -3*d, -d - n = 2*n + 1. Suppose -43*h = -557 + 41. Suppose -3*o = -h, -d*m + 86 = o + o. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 16 - -2 - (-10 - -6) - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351113?\nAnswer: 7, 50159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**2 + 32*b**2 - 6*b**2 - 5*b**2. Let o(i) = 3*i. Calculate t(o(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -21 - 6*m**2 + 7*m**2 + 6*m - 6*m. Let b be u(0). Let n be 36\/b - (-1 + -1). What is the biggest value in 0.05, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3.7, 3.8, -160?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v - 57 = 0. Let y = v - 23. Put -3, -2, y in descending order.\nAnswer: -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - -3645156?\nAnswer: 3645222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 184949003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*g + 48. Let s(m) = -m**3 + 8*m**2 + m - 3. Let r be s(g). Suppose r*l - 105 + 40 = 0. What is the remainder when 101 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1176 + -1176.00002774. Round a to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2338180 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = -1634 + 1691 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3124*v**2 - 3*v + 4. Suppose -2*q - 8 = 2*r, 2*q + 8 = -2*r + 4*q. Let o be a(r). Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 30 = 5*a, -30 = -4*a + 2*p + 8 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 10*o - 10. Solve o = 5*v - 32 + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9572.009ml in litres?\nAnswer: 9.572009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:42 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/322*(3968\/(-155))\/32?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 530178898 and -0.03?\nAnswer: 530178898.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48537 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*u = -49, -77 = -3*t - 3*u + 70. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181547*t - 181801*t - 2540 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-14) + (-14)\/4. Suppose -x + 3*q = 8, -x - 2*q + 13 - 1 = 0. Put z, -6, x in ascending order.\nAnswer: -6, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 14 + 1. Suppose -s*u + 2*u = -1. Let v = 14 + u. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 5*c**2 - 5*c - 5. Let i(f) = -2*f**3 - 4*f**2 - 4*f - 4. Let u(y) = -2*y**2 - 16*y - 5. Let k be u(-8). Determine k*i(t) + 4*s(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 2 = 102 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 23*g + 113. Let m be p(-5). Does 25 divide (-170)\/(-2)*m\/((-2)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/7 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 145226 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = u - 4*a, -3*u - 4*a - 3 = -5. Solve u = 4*c - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -13*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**3*u**2 - d**3*u + 10086264*d**3 + 1741164*d**2 - 13*u**2 wrt d?\nAnswer: -36*u**2 - 6*u + 60517584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 3*u = 340. Suppose 6 = -14*r + u. Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -3\/5*v**3 + 27\/10*v**2 + 0 - 3*v + 1\/20*v**4. Suppose o(y) = 0. What is y?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16233 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -87. Which is the biggest value? (a) 5 (b) p (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1)*5 + 2. Let a = 10 + u. Solve a*y - 12 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211169553 less than -1115?\nAnswer: -211170668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + c + 0*c + 9 = 0, 2*c - 12 = -3*a. Suppose -a*i + 3804 = 30. What are the prime factors of i?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4270?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.5, -36, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 16 + 26 + -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10*w**3 + w**3 + 8*w**3 + 3*w**2 + 4 + 4*w + w**2 - w. Let s be ((-10)\/3)\/(8\/(-12)). Calculate i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.315 - -0.30766. What is b rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2. Suppose -5*r + 7 = -3. Let y be 50\/16 - (-5)\/(-40). Let a(k) = 4*k**r - 2*k**2 - y*k**2. Give b(a(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 27 = 2*b, -39 = -6*b + 2*b - t. Let o be (-6)\/b - 39\/(-45). Let n = -107 - -532\/5. Sort o, n, 0.3 in ascending order.\nAnswer: n, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/10)\/(16\/40). Solve -h = -5*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q - 11. Let c(f) = 27*f + 2. Let s(g) = 469*g + 35. Let z(r) = -35*c(r) + 2*s(r). Determine z(j(o)).\nAnswer: -63*o + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4950 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b - b**5 + (3 - 4 - 1)*(11*b**3 + 2*b**5 - 11*b**3).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 55. Let w(m) = -25*m. Determine w(a(l)).\nAnswer: 100*l**2 - 1375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - ((25 - 69) + -141 - -9).\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -5\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4347547.1999999 + 4347547. Let y = 0 + -0.2. Let m = y - a. Round m to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 6*s + 14*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 9 + 8. Let f be 5*(-3)\/(-15)*n. Solve y + 25 = -3*g + 6, -g + y - f = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from ssfjsjsgsxqj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1445 + -1102. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2339 divided by 3.\nAnswer: 2339\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 332*n - 313*n - 218633. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 7*d - 3. Let c be n(-6). Let p be 1\/(c + 74\/(-25)). Suppose -3*v = 2*v - p. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 1606990194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-2)*(9 - 13). Let y be 12\/w - (-19)\/7. Suppose 3*q = -4*d + 145, 245 = y*q + 2*q + 5*d. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61460)\/(-560) - 110 - (-7)\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u. Let i(q) = -q - 64*q**3 + q**2 + 2*q + 65*q**3. Calculate b(c) - i(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t + 8 = 3*y, -2*t - 22 = -5*y. Let w(q) = -q**2 + 4*q + 1. Let z be w(y). What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 + 6048416*d\/9 - 4572917013632\/9.\nAnswer: -2*(d - 1512104)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250722573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 100. What is the remainder when ((-128)\/(-24))\/(2\/45) is divided by (-10)\/2 + (h - 23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = 1169007 - 1169703 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 5. Let a(r) = -7*r + 19. Let z(l) = -6*a(l) + 22*p(l). Let b be -2*(10\/4)\/1. Calculate z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 + 151. Let i be (-1)\/(-3)*(2 + 4). Solve -4*r + 3*a - 6 = -29, -i*r + n*a = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 6, j: 2, i: 2, h: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-396)\/330*((-120)\/(-162)*15)\/((-10)\/(-15))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/66, 4\/43, -4, -2\/15, 12.\nAnswer: -4, -2\/15, 4\/43, 17\/66, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -28 + 12. Let r(l) = 2*l**2 - l - 1. Let k be r(-1). Suppose w*i - 27 = -3*t, -3*i + 0*i + k*t = 1. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bcd55 - 164?\nAnswer: -bceb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*r + 460 = 484, 5*w = -4*r - 38 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.32 + 10.32. Let c = -93129 - -93118.99944. Let g = c + v. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + d**2 - d**2 + (2*d**2 + 4*d - 4*d)*(4 + 3 - 5) + 0*d**2 - 5*d**2 + 14*d**2 + (6*d + 1 - 4*d - 3*d)*(-3*d - 4*d + 5*d).\nAnswer: 18*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73391627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n + 115. Let h(q) = 2*q. Let d(m) = -2*h(m) + r(m). Is d(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/2 - 5*b**3\/3 - 3*b**2. Suppose 5*w - 5*l + 21 = 56, -3*w - l = -21. Let u(k) = 8*k - 7. What is w*u(v) - 5*j(v)?\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 4. Suppose 25*s - 2222 + 322 = 0. Suppose -4*f = -2*z - 22, 9 = z - 73*f + s*f. Let q(k) = -4*k - 9. Determine z*q(d) + 5*v(d).\nAnswer: 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/12)\/(4\/6). Suppose -k + 2 = -1. Let f(c) = -k*c - t + 4 - 4. What is f(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 5 + -5 - (-3 + -4 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-12) - (-1)\/(4\/9). Calculate the remainder when 117 is divided by (a - 3 - -37)\/((-9)\/(-6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -67521 (c) -4\/1941\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 - 207*v**2 - 167*v - 11354. Calculate m(-69).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 = 1. Let o be ((-3)\/2)\/((-2)\/u). Solve -2*z + 1 + o = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 21*v**2 - 21*v - 18. Let g be f(-20). Suppose 3 = g*o - 5*z - 58, o = 4*z + 29. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4055 + -4275. Which is greater: -437\/2 or m?\nAnswer: -437\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 3*o**3 + 0*o**3)*(-6674*o + 13050*o - 7651*o).\nAnswer: -1275*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*(-342)\/(-57)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 6:50 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334.3 * 11.2.\nAnswer: -3744.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -15565102?\nAnswer: 15565103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 2. Let i be u(2). Let l(f) = f**3 - 5*f**2 + 3. Let p be l(5). Suppose 0 = -m - p + i. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(-4\/5))\/h)\/(h*h**15)*h**(10\/3)\/h**(1\/4) assuming h is positive.\nAnswer: h**(-763\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/19255, -5, 2\/15 in decreasing order.\nAnswer: 2\/15, 4\/19255, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, -428, -2\/77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 3, p: 7, y: 1, d: 1}. What is prob of sequence zp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11196 (base 10) to base 6.\nAnswer: -123500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -84 and -32.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6387)\/5)\/3 + (-84)\/(-105). Is (-1 - 86)*(q\/15 + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38273 and 0.2.\nAnswer: 38273.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (119*c - 55 - 33 + 91)*(0*c**3 - 11*c**3 + 5*c**3) to u*c**3 + a*c**4 + b*c**2 + o*c + k and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 1608?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + u + 3)*(-2*u**2 + 0*u**2 + 5*u**2) + 0*u**3 + 0*u**3 + 6*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61925 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371.7 - -0.85.\nAnswer: -370.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855*(-180)\/(9 - 29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/2*((-8)\/(-18) - (-1826)\/(-747))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a + 29 - 29 + (-21 - 16 + 69)*(-3 + 1 + 3*a - a).\nAnswer: 69*a - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 160572 and -2.\nAnswer: 160570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 818 + -43352\/53. Let f = 77\/636 - d. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -336. Let n = f - 177. Let i be ((-2)\/6)\/((-8)\/n). Is 1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0468 and -0.1.\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 529*q - 1. Let g be v(1). What is the remainder when (-6)\/(-21) + g\/14 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14762 divided by -505.\nAnswer: -14762\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 759751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 102 = -8*d. Let k be 11\/2 + 2\/4. What is the greatest common factor of k and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15974227 or 0?\nAnswer: -2\/15974227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 + (-14)\/9)*(-368 - -392))\/((-4)\/6).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 360 = 794 + 1141. Calculate the remainder when 467 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 101570.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 17.78510481842.\nAnswer: 13.78510481842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**2 - 15144*g**3 + 30223*g**3 - 15077*g**3.\nAnswer: 2*g**3 + 26*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8710*i - 43560. Determine q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -165014.978 and 1.\nAnswer: -165014.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 152*i**5 - 104*i**2 + 7. Let o(r) = -3*r**5 - r**2 + 1. Let d(x) = -7*o(x) + w(x). Find the third derivative of d(a) wrt a.\nAnswer: 10380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p. Let d be (-98)\/343 - 122\/14. Let f = d + 8. Let u(y) = y. Give f*u(x) - w(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146219 + -85218. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5129*u + 6. Let j(p) = 1279*p - 1. What is 2*g(a) + 9*j(a)?\nAnswer: 1253*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:26 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m. Let y(g) = g**2 - 14*g + 18. Let o be y(33). Let p = o - 648. Let n(f) = 24*f. Calculate p*n(c) + 21*x(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 10. Let k(l) = -l**3 + 6*l**2 - 5*l. Let b be k(s). Suppose -3*y - 7 = 8. Is y < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 27805\/19614?\nAnswer: 27805\/19614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 367*m**3 - 368*m**3 - m + 2*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*y**4 - 7 - 14 + 121*y - 120*y - 20*y**4 wrt y.\nAnswer: -104*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -159*a**2 + 9*a - 5. Let u be t(1). Is -153 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(209)*1*-3)\/(sqrt(110)\/(sqrt(40)\/sqrt(4))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w**2)\/((w**3\/w)\/(w\/w**(-1\/4)*w))*(w**5\/(w*w\/(w\/w**3)*w))**26 assuming w is positive.\nAnswer: w**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148454 to the power of 1\/2, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9 - -1)*1782\/132?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a year in months?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(108) + 5 + sqrt(108) + 2)*2.\nAnswer: 18 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-295)\/(-15) - 19 - (-1)\/6. Let f(p) be the second derivative of -1\/5*p**2 - 29*p - 2\/3*p**3 - b*p**4 + 0. What is j in f(j) = 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, d: 6}. Give prob of sequence idi.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/10 - g**4\/4 - g**3\/3 + g**2\/2 - 4*g. Let d be (2 + 9\/(-6))*-12. Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1071 by 17.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -79 and -0.066740536941.\nAnswer: -79.066740536941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11630901*o**2 + 23261800*o**2 - 11630905*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 2*d + 3. Let r be c(-2). Find the first derivative of a**4 - 6 + 0*a**4 + r wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - j + 3 + (-1 - 1 + 4)*(-j + 3*j - 4*j) + (-2*j - j + 4*j)*(3 - 2 + 0).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1268638 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = 11. Suppose 0 = -45*s + 19 + 52 + 19. Sort m, 0, s in ascending order.\nAnswer: 0, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - t**3 + 0*t**3 + 3*t**3 + (-3*t**2 + 5*t**2 + 0*t**2)*(0 + 3*t + 0) + 1281*t + 449*t**3 - 1281*t.\nAnswer: 457*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(190) + -1*sqrt(190) - sqrt(190)) + -3*sqrt(190)*-5 + sqrt(190))\/(((sqrt(10) - 4*sqrt(10))*1 - sqrt(10))*-1) + 0.\nAnswer: 19*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s - 13. Let f(x) = -1. Let p be 10\/(-15)*((-117)\/2)\/(-3). Let r(m) = p*f(m) + j(m). Let o(g) = g. Calculate r(o(k)).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x - 5*x + 45. Suppose s - 70 = -5*b + 2*b, 78 = 3*b + x*s. Suppose 14 = -2*f + b. Solve -1 = u - f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6*a**2 + 3*a + 22. Let u be v(4). Suppose 67 = 5*k - u*l + l, l + 28 = 2*k. What is the common denominator of 79\/54 and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492276 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*p - 134*p - 837*p to the form i + v*p and give v.\nAnswer: -1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 221*q - 45. Let t(h) = -16 - 6 + 77*h + 34*h. Let r(c) = 5*t(c) - 3*u(c). Is r(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4218853740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1716, 4, -4099 in descending order.\nAnswer: 1716, 4, -4099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 2. Let a be c(4). Let m(f) = 2*f + 4. Let v be m(a). Let d = 14 + v. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(363)*2*4 + 1*(sqrt(363) + 0) + -3 + 0)**2.\nAnswer: 396*sqrt(3) + 29407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 23*j + 112. Let s be t(0). Is (642\/8 + -1)\/(14\/s) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46270636 or 0.3?\nAnswer: -46270636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 - 0 - (0 + -4 + 7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -1\/6*y**3 + 0 + 0*y - 8*y**2 + 1\/3*y**4. What is k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82936251689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1464, -2245, -3540, -5343, -7648?\nAnswer: -10449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 28 = 4*t, -6*o + 24 = 2*t - o. Suppose 3*b = -t*b + 25. Suppose -14 = s + b*z, z = -s + 2 + 4. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (22 + -12))*2\/(-186)*-2\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/28)\/(y*y*y**(-1\/4)) assuming y is positive.\nAnswer: y**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*k - 376*k + 3 = 3*g, 0 = -3*g + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -268310, -268303, -268292, -268277, -268258, -268235, -268208?\n\"Answer: 2*k**2 + k - 268313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 8}. What is prob of picking 2 f and 1 w?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - sqrt(72)*-1)\/(sqrt(864)*-1) + -3.\nAnswer: -3 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-5)\/((-105)\/(-28)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119.9544 + 0.0456. Let z = l - 120.5. Which is the closest to 2? (a) z (b) -1\/3 (c) -5 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 + 3*r + 4. Let l be (-4)\/(-24) - 5\/30. Suppose 2*h = -5*n - l - 7, 2 = -2*n - h. What is the tens digit of d(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 2440*g**3 - 7332*g**2 - 7336*g - 2446.\nAnswer: 2*(g - 1223)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:15 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + m. Let h(l) be the first derivative of 3*l**4\/4 - 4*l**2 + 154. Determine 2*h(y) + 14*i(y).\nAnswer: -8*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3720307?\nAnswer: 491, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/((((-12321)\/518)\/111)\/((-36)\/(-154)))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-26 + 3 + -12) - (-35 + -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 330*p - 9066. Determine w(-189).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from yooo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/28039?\nAnswer: -8\/28039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 65. Let w be r\/(-28) - 402\/(-8). Which is greater: w or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(4287 - 192) - 46\/234.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 17\nAnswer: -50\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/6224637?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 9:43 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = -8 + 48. Solve -2 = -3*b - h*a, 2*b + 2*a + 2*a - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1028485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80508962.\nAnswer: 2, 40254481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125772 = -338*n - 918*n - 82*n for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-19)\/((-114)\/72))\/4. Let z = 2 - 0. Sort w, z, 4 in decreasing order.\nAnswer: 4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.007 (b) -1\/5 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 4. Let r be s(-3). Let c be (32\/(-6))\/(4\/(-12)). Suppose 5*u - u = -c. Sort 2, r, u in decreasing order.\nAnswer: r, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20371424 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 6*y**2 + 6*y + 9. Let f be p(7). Suppose -5*z - 3*m + 2295 = f*m, 4*z - 1832 = -3*m. What are the prime factors of z?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/((-107)\/1284). Solve g + s = 0, -c*s - 14 = -3*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -990? (a) -6 (b) 8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = -11. Suppose -w + b*o = -0*o - 78, -4*w = -5*o - 312. Suppose 0 = -5*v + 167 - 37. Calculate the highest common divisor of w and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 562282.7 to the nearest 100.\nAnswer: 562300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 222. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*i - 2, 3*i - 6 + 2 = 4*z. Is (8 + 13)*((-425)\/(-3) + z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -158886, -158887, -158888, -158889, -158890?\n\"Answer: -g - 158885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6644)\/21593)\/((-4)\/(-234)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-5) + 27\/(-45). Let l be b\/(-4 + 10)*-3. What is the greatest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*i + 76 + 8 = 0, 0 = -4*v - 4*i + 108. Suppose 2 = -4*p - 2*a + v, -2*p + a + 21 = 0. Solve -p = 5*z - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wee when three letters picked without replacement from eeewweewee.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9099, -4 in descending order.\nAnswer: 9099, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7642*n + 7664*n = 572 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -m + d, 839*m + 13 = 843*m + 3*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 107163.\nAnswer: 107163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 - 20 = 0. Suppose y*f - 3*f = -234000. Round f to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4210154*j**2 + 718722*j**2 - 1613146*j**2 - 458306*j**2.\nAnswer: -5562884*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 25*f - 4. Suppose -9*a = 256 - 103. Let w be r(a). Is -140 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)\/(u\/(u*u*u**12))*u**(-23)\/(u*(u\/(u*u\/(u*((u*u**(9\/7))\/u*u)\/u*u*u)))\/u))**(4\/3) assuming u is positive.\nAnswer: u**(-652\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -5*r + 2*l + 3, -r + 3*l = -42. Let z be (-2)\/(-13) + 32545\/299. Let u = -65 + z. Calculate the greatest common factor of r and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5204\/2735 - -3\/1094. Let w = -206 - -197. Calculate the common denominator of 6\/w + 1 + (-9)\/(-21) and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -7*o + 4*o - 4*z, 3*o - 9 = 2*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102892 is divided by 23668.\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 37\/2 of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1905899 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -23)*400\/(-12). Suppose 0 = -4*a - 228 + p. What is the greatest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2, 5*u + 24 + 34 = 4*p. Let d(y) = 85*y**3 + 1. Let n be d(1). Suppose -n + 392 = 2*x. Calculate the greatest common divisor of p and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*u - 51. Suppose -i - u = -2*i. Let w = 54 - i. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 47\/((-799)\/510).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 22 - 30. Suppose -136 = -v*a + 4*m, 5*m - 103 = -3*a + a. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885320?\nAnswer: 2, 5, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*u = -2*u - 10, 4*d - 5*u = 25. Let a be 1\/((1 - d)*7\/119). Solve -12 = -a*o + 20*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 920347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -38*t - 3. Let h(m) = 13*m + 1. Let o(y) = -2*g(y) - 6*h(y). Let k(w) = 306*w**2. What is o(k(i))?\nAnswer: -612*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -7*b - 296. Let n = b + 95. Which is greater: n or -2\/161?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -0.23.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 67, 72, 77, 82?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402718?\nAnswer: 2, 201359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f - 5*f. What is the third biggest value in -0.4, f, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*-9302\nAnswer: 2139.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20607611 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 1\/6*y**4 - 3\/2*y**2 + 0 + 0*y**3 + 4*y. Let q(s) = s. Calculate q(g(m)).\nAnswer: 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25999 + -25998.9. Which is the nearest to -1? (a) 2\/309 (b) -0.2 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 4*w**2 - w - 1. Let z be r(2). Suppose -z*m = -1 - 19. Calculate the greatest common factor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.6614 litres to millilitres.\nAnswer: 57661.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 6 - 6, 2*r = -4*p + 63726. What are the prime factors of p?\nAnswer: 3, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n**(-3)*(n**(-2\/9))**33)**(2\/9) assuming n is positive.\nAnswer: n**(-134\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 7966 and 7963 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -5. Suppose 0 = u + 4*m + 15, -4*u = 2*m - 6*m. Sort r, 4, u in descending order.\nAnswer: 4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2984688 divided by -648\nAnswer: -4606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)*k**(-14\/9)*((k**3*k)\/k*k)\/(k\/k**17) assuming k is positive.\nAnswer: k**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3826137 and 63.\nAnswer: 11478411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27947.2 years in decades?\nAnswer: 2794.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101001000101 (base 2) in base 14?\nAnswer: -13541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 191 + 4 = 5*c, 3*b + 37 = c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 8 (b) -0.2 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -51. Calculate the remainder when 4 + a - (-324)\/9 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103223 (base 7) to base 2.\nAnswer: -100001000110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/6 (b) -1\/5 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -3, -1, 6.9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2466*u**3 - 96177*u**2 - 266445*u - 324 = 0.\nAnswer: -36, -3, -1\/822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -3\/7*n**5 + 0*n + 3\/14*n**2 + 5 - 2\/7*n**6 + 9\/28*n**4 + 5\/7*n**3. Find y such that v(y) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101057 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: 3066637 (base 9) to base 11\nAnswer: a1a101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v - 25. Let f(n) = 2*n**2 + 3*n. Let d(s) = 4*s**2 + 6*s. Let j(l) = v*f(l) - 3*d(l). Find the second derivative of j(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:01 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11327 is divided by 2826.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**3\/6 - 4*i**2 + 16*i. Let s be j(-10). Let b be ((s\/(-4))\/(-9) + 1)*358. What is b rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 189945.\nAnswer: 1\/63315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*6 + -3.\nAnswer: -3 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from sssosossmhsshs.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.49 - -8.49. Which is the nearest to 1\/2? (a) 0.2 (b) 30 (c) g (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z**2)*(13 + 2*z - 13 + (2 - 6 + 2)*(-3 + 9*z + 3) - z + 2*z - 2*z).\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 9)\/2 - (-31707)\/9?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 31. Let x = 32 + -28. Suppose -x*b = -2*a - 200, -b + 37 = -a - n. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1138\nAnswer: 2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13014398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 + 0 + 4 + 1 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 0*u**2 - 10711 + 154*u**3 - 10715 + 21426.\nAnswer: 154*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-5)\/(-90) + 4\/36). Let l be 1\/((-4 + 2)\/788). Let a be (1 - l\/n)\/((-28)\/(-1024800)). What is a rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111487.\nAnswer: 111487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 1 + 0*i**2 + 0*i**2 - 6*i**2 + 5*i + i**3. Let u be d(4). Suppose -5*t + u*q + 59 = 0, 2 + 7 = -3*q. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 16844*a + 16854*a - 2 - 33691*a.\nAnswer: 7*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/50 + n**4\/60 - n**3\/6 + n**2\/5 + 6*n. Factor f(t).\nAnswer: (t - 1)*(t + 2)*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14565 + 25214. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o**4 - 192*o**3 - 10082*o**2 + 12*o + 630 = 0 for o.\nAnswer: -15, -1\/4, 1\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6)*(-2 - 3890\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 0, -0.7, -0.2, 0.2 in decreasing order.\nAnswer: 55, 0.2, 0, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-8)*4\/(-20). Let i = 6.04 + -6. Let h = -0.06 - i. Which is greater: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -51 (b) -2 (c) 8.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 149 = 3*l + 314, l = -3*j - 158. Let i = 369 + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5712434 is divided by 21315?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2119\/70 + -367\/10. What is the common denominator of x and -37\/31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33553.5824 rounded to the nearest one hundred?\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 13 - 4\/3*m**3 + 0*m - 1\/12*m**4 - 2\/3*m**2 + 4\/5*m**5 - 2\/9*m**6. Suppose k(l) = 0. What is l?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127896.7077 - -127801.7. Let k = 95 + m. Round k to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**4\/12 - 3*q**2\/2 + 5*q. Let u(r) = 1. Let f(l) = g(l) - 2*u(l). Differentiate f(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -3)\/((-3)\/13). Let u = 15 - k. Suppose 5*a = -u + 12. Solve 0*i + 4 = -a*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 3, c: 1, o: 5}. What is prob of sequence co?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 2*x - 4560 = 0. Suppose -321 - 415 = -47*v + v. What is the highest common factor of v and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/3 + 3933*l**2\/2 - 300*l - 19. Let o(z) = 2*z**2. Determine y(o(m)).\nAnswer: 4*m**2 + 3933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 41*d**2 + 86*d - 47. Give c(43).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 19 + 35*r - 31 + 5*r + 2*r + 2*r + (r - r + 2*r)*(-2 + 1 + 0) - 4*r + 2*r - r.\nAnswer: 39*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1 - 1 + 0. Let s(t) = t + 1. Give -2*s(v) - z(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 284.2119674 + -99.9495936. Let q = 53.2623856 - a. Let f = q + 131. What is f rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13570.92 to the nearest one hundred.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 - 20 + 2*l)*(-41*l - 168*l + 288*l + 1094*l) to the form u*l**2 + t*l + s and give u.\nAnswer: 2346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 3*b**2 + 2. Let s(j) = 9*j**3 - 16*j**2 + 11. Let u = -7097 + 7099. Calculate u*s(x) - 11*v(x).\nAnswer: -4*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39968 + 1598817\/40. Calculate the common denominator of u and 127\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 5. Let g(n) = 14*n + 15. Let r(b) = -4*g(b) - 11*k(b). Let i(x) = -2*x**2 + 3*x + 2. Let z be i(-1). What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 4.8, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 565 = 9*v. List the prime factors of v.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -12, -18, -28, -42?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 10*i**2 + 20*i - 2. Let k be ((-5)\/1 + 2)\/(10\/20). Calculate the remainder when 33 is divided by p(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = -6. Let a be ((-4)\/z)\/((-4)\/78). Let i be 66 + (-1 + -4 - -4). What is the highest common factor of i and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767453, -1534908, -2302363?\nAnswer: -3069818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*k = 222, -4*k - 4 = a - 56. Suppose -3*d + a = 5*d. Suppose -3*j = -d*j + 524. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 47718418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1*9\/6). Suppose 4*d - c*w - 8 = 0, d - 6*w + 3*w + 8 = 0. Find the first derivative of 6*n**d - 70*n**2 + 70*n**2 + 14 wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -61. Suppose -14*q = -i*q + 32. What is the highest common factor of q and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/4))**(-14))**(-2\/5) assuming y is positive.\nAnswer: y**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11591.2 - 322.672\nAnswer: 11268.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27802 or 27865?\nAnswer: 27802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249\/506 + 2\/253. Which is smaller: 8\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f*q*s**2 - 118*f*q*s - 2401*f*s**2 + 4*f*s - 12*f wrt s.\nAnswer: 30*f*q - 4802*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27539 + 27534. Which is the third smallest value? (a) -4\/9 (b) -22 (c) 3 (d) q (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50462 divided by -34.\nAnswer: 25231\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178, 182, 186, 190, 194?\n\"Answer: 4*t + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13395336 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -58, -134, -272, -490, -806, -1238?\n\"Answer: -3*i**3 - 4*i**2 + i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by 6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225 - -225. Suppose -m - 8*m - 36 = h. What is the biggest value in m, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 575643, 1151560, 1727477, 2303394?\nAnswer: 2879311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttshkthsrthhkthg. Give prob of sequence ks.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1094 - -1707. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let v(w) = 13*w**2 + 4. Let g(r) = 40*r**2 + 11. Let m(t) = 4*g(t) - 11*v(t). Calculate m(x(u)).\nAnswer: 68*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 1 - 1 + (3*s - 2*s + 0*s)*(1 - 2 - 1) - s + 2*s - 2*s as d*s + b and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rirr when four letters picked without replacement from {i: 7, r: 5}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - m**3 + 1 + 13*m - 10*m - 5*m**2 + 13*m**2 - 6*m + 24*m**2 to v*m**4 + n*m**3 + k*m**2 + w + f*m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21b6 (base 13) to base 6.\nAnswer: 33452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*s + 6, 0 = 2*j + 3*s - 311 + 314. Suppose -3*t = -t + 24. Let v be ((-3)\/(-2))\/(t\/(-40)). Solve 0 = -2*u - v*h - 24, -3*h + 4 = j*u + 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 5) to base 2.\nAnswer: -1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.3 (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 + 4 + (-1 - 4). Suppose 0 = -l - w + 15. Solve 0 = -7*n + 2*n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1864?\nAnswer: -1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187442, 187422, 187404, 187388, 187374, 187362?\nAnswer: 187352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 320355?\nAnswer: 320352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 78311993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*-1)\/((-8)\/24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374240 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9))**(-42))**(-22) assuming q is positive.\nAnswer: q**(-8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. What is the tens digit of -2 + z - (0 - 47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -269678 (b) -0.034 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46511 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/5 + 68*m**3 - 14106*m**2\/5 - 5848*m - 14792\/5 = 0. What is m?\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -270*c - 1615. Let o be a(-6). Put -7, -5, 18, o in decreasing order.\nAnswer: 18, o, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - -0.72. Let p = 16 + -19.8. Let u = p + i. Which is the third smallest value? (a) 0 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -111 + -1b29f?\nAnswer: -1b3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -2*v**7\/7 + 5*v**3\/3 + 2. What is the third derivative of s(y) wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 1:19 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -1097\/34?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 k when three letters picked without replacement from {p: 5, k: 1, y: 2, g: 1, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4.2. Let l = 0.1 + 0.1. Let h = -0.04 - -5.04. What is the closest to l in v, -0.3, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from tltttlttltt?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.55 in 6, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 7*v**2 + 7*v - 2. Let n be h(6). Suppose 5*o - 3*o + 18 = -5*p, 12 = -n*o + 2*p. Is 6 a factor of ((-6)\/o)\/(1\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654490 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -419.\nAnswer: -46.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 8720504?\nAnswer: 95925544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5016125*c**6 - 1421512*c**2 - 1 wrt c.\nAnswer: -601935000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*k**2 + 1166*k**2 + 0*k**3 - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9*n + 5. Does 23 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0 + 10 = 0. Suppose s*g = 3*g - 89. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, 3, 26, 67, 132, 227, 358?\n\"Answer: f**3 + 4*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2643 = 60774\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 160 - 1042. What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -811*b + 3049. What is n(3)?\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -8 - (-17 + 3 - (1 + -17) - -35)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12707*w - 673464. Give i(53).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**2\/2 + 29. Let u(q) = 2*q - 37. What is u(r(w))?\nAnswer: 2*w - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7096289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1192.57 + 1190. What is a rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 27 = 3*z, p - 6*p = 2*z + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Suppose 0 = -5*b - 2*p - 182, b + 11 = 5*p - 20. Let r be 2 + b\/14 - (-39)\/7. Solve 0 = c*w - r*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1777*p**2 + 744*p**2 + 751*p**2 + 280*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1025762?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 4*o - 3*o)*(-4 + 1 + 2)*(4 - 4 + 3*o) in the form i*o + c + y*o**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1261*c + 1272*c - 327547. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 94*b + 2197. What is p(41)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72398025 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30\/7 + -113\/28. Factor 1\/2*v**2 + 0 - 1\/2*v**4 - o*v + 1\/4*v**5 + 0*v**3.\nAnswer: v*(v - 1)**3*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuyuuuuuuuuuuuuuu?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.599234 months in centuries?\nAnswer: 0.006332695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(-1*(sqrt(6) + sqrt(6) + sqrt(24)))*-3 - (sqrt(65)\/(-1*sqrt(180)) + -2).\nAnswer: 2 + 11*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}