diff --git "a/data/dm_maths/full_data_1/10640_11255.jsonl" "b/data/dm_maths/full_data_1/10640_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10640_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 4*n + 24 = 7*n. Let z = 221 - 157. Suppose 0 = -3*a + 7*a - z. Solve 2*x = n, -j + 5*j = -x - a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 770 = -812. Let d be 20\/6*(i + 440\/50). Solve -5*n + 5*k + 10 = 0, 3*n = n + 3*k + d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a - a**2 + 1800*a + 77*a + 606*a - a**2 to the form d + u*a**2 + q*a and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 3630 - b**3 - 3632 + 20*b**4 to y*b + r*b**3 + z + f*b**2 + u*b**4 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 1\/3, 0.7, -16 in decreasing order.\nAnswer: 0.7, 1\/3, 0.01, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (225 - 144) + -85 + (-1 - 0) + 0 + 52\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(1\/(3\/6)). Let f be z + (-14)\/(-2) - 2. Solve -4 = -g, -5*r - f*g = -r - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98381441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/680 + (-3)\/(-25)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.042 - 44.182. Let x = -41 - i. What is x rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 114603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 2132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225577\/14260 < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 1. Let b(x) = 4*x**2 - 7*x - 5. Let c(u) = -b(u) + 3*f(u). Let c(r) = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 6. Let n be (-14)\/(-10) + 22\/(-55). Let v be 2 + n - 10\/2. Is y at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubuqssbbbjb. Give prob of sequence bs.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d. Suppose d = -4*a - a + 7805. Suppose 0 = -4*t - a - 1199. Round t to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -959 + 6179. List the prime factors of y.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*n - 671 = -132*n + 33. Is 4\/11 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(12) - (sqrt(12) + sqrt(12)*2)) + sqrt(12)) + (1*sqrt(130) + sqrt(130))\/sqrt(10) + (-4*(1 + (sqrt(13) - sqrt(13)*1)))**2.\nAnswer: sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11737 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*f + 1683 = 0, -4*n - 1515 = f + 150. Let t = n + 417. Which is smaller: t or 314?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let f(l) = 4*l. Let b be f(z). Solve -4 = -2*x + b*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858 is divided by 414.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(5 - (0 + -9)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = -3. Suppose -h*t + 4*m + 135 = 0, -5*m + 42 = 4*t - 107. Let r = 169 - 78. Calculate the remainder when r is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b - 40. Let f = 12 + b. What are the prime factors of 18\/f*24\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9 + 1 - 3 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*d + 19. Differentiate 5*r + 3 + 26*r - 6 - d with respect to r.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13069.963534 - 13070. What is o rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 17 + 5. Let y = 1390 + -1393. What is the closest to k in 4, -1, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 74, -216, 4 in ascending order.\nAnswer: -216, 3, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1010, 1005, 988, 953, 894?\n\"Answer: -h**3 + 2*h + 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/5 (c) 4\/315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 134. Suppose 3*p = 11 - 2. Find f, given that 40*f**3 + 6*f - z*f**4 - 17*f**3 - 29*f**p + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3904*c + 1391*c - 74*c - 478*c + 4789*c in the form z*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7238, 14060, 20876, 27686, 34490, 41288, 48080?\nAnswer: 54866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.9 + 57. Let d = 15.6 + -16. Which is the closest to z? (a) -1 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -287, -430, -573, -716?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 346 = 6*w - 5*w, 5*w - 164 = -2*z. Is z at most 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5)*g)**(-5\/14))**36*(g**(-2\/7))**38\/(((g\/(g\/(g*g*g\/(g\/g**0))))\/g)\/g*g*g\/g**(2\/9)) assuming g is positive.\nAnswer: g**(-1282\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -452.\nAnswer: 5\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13284, 26544, 39768, 52950, 66084, 79164, 92184?\n\"Answer: -q**3 - 12*q**2 + 13303*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 4*j**2 + 17*j + 6. Let n be y(-4). Let l = 0 - -4. Suppose -620 = -4*d + n*m, -148 = -3*d + l*m + 312. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373 + 372. Let y = -1 - -6. Which is the closest to j? (a) -0.03 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1\/19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let t(r) = -2*r**2. Let m(a) = -4*t(a) - 7*v(a). Let z(j) be the third derivative of -j**4\/12 + j**2. Give m(z(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2253 - 2248 - 2*v + 3*v. Suppose -5*s + 4 = 4*u + 13, 11 = -3*s - u. What is z(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19990 and -3.\nAnswer: -59970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.62548 - -0.06248. Let v = 2.86 + h. Round v to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (14 - 12 - 5) + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24013096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q**(2\/17)*q**(2\/7)\/q**(1\/3))\/(q**(-1\/30)*q**4*q**(-5)) assuming q is positive.\nAnswer: q**(6073\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert 57.40031l to millilitres.\nAnswer: 57400.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, e: 7, p: 1, a: 2}. What is prob of picking 1 p, 2 a, and 1 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-7896)*-12)\/(((-108)\/16)\/(-9))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26057905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/284 and 4*395\/180*24\/(-64).\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4560 and 45600.\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/(x**(2\/5)\/x))\/x)*x*(x*x**(2\/7))\/x*x\/(x**(-4\/9)*x)*x**(-4)*(x\/(((x*x*x**1*x)\/x)\/x))\/x*x\/x**4*x*x**5*x**(2\/5) assuming x is positive.\nAnswer: x**(-148\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p**2 - 172*p. Let i(m) = -111*m**2 + 1203*m. Let q(g) = 2*i(g) + 15*t(g). Factor q(r).\nAnswer: 3*r*(r - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11496)\/(-312) + (-2)\/(-13) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3351 - 2413. Let y = g + 2118. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (6 + -8)) + 5 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240 - 40*z**3 + 240 + (2*z**3 + 3*z**3 - 2*z**3)*(0 - 4 - 2) + (-3*z**2 + 2*z**2 - z**2)*(-5*z + 2*z + 5*z).\nAnswer: -62*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8 + 3 - t - 6*t**2 + 0 - 8. Let l(d) = -4*d**2 - d - 9. Calculate -5*f(w) + 7*l(w).\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64649647333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18388)\/(-20) + (-16)\/40 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324486.4 rounded to the nearest one thousand?\nAnswer: -324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 19*n - 3. Let v be u(11). Suppose -5*a + v = -722. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -460340 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607829319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(-15*w + 2*w - 4*w) + w + 0 + 0 + (0*w - 2*w + 4*w)*(2 - 5 + 2) in the form x + f*w and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 2081 = -2060 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 356*r - 14644. Let l be j(-151). Determine a, given that -8\/11*a + 0 + 8\/11*a**2 + 10\/11*a**4 + 26\/11*a**l = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123462340, -123462333, -123462322, -123462307, -123462288, -123462265?\nAnswer: -123462238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000419864038 rounded to 7 decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -38. Suppose -w*j = -j - 130. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 0, 3*a - 2*o + 7*o - 664 = 0. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -1057*j**3\/6 + 2*j + 629. Let a(b) = -2*b. What is m(a(d))?\nAnswer: 2114*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2244 divided by 6\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/53)*f**(-28))\/((f**(1\/53)*f)\/f*f**(-28)))**(-11) assuming f is positive.\nAnswer: f**(-594\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.09204mm to kilometers.\nAnswer: 0.00000109204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325 - 182. Let p be 243\/(-3) - -2*1. Let o = v + p. Calculate the remainder when o is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*p**3 + 209*p**3 + 278*p**3.\nAnswer: 872*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*a + 9*a. Suppose 4*s - 21 = n - 264, 4*n + a*s = 1014. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 277 + -107. Suppose 39*i - 337 = v. Solve -2*f = -i + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 - -83?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -115*j - 8. List the prime factors of m(-2).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -132, -3, 2, 1 in ascending order.\nAnswer: -132, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4145 + -20?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*i - 0*i. Suppose -i = -3*j - 0*s - 3*s, -3*j - 5*s = -21. Let p(c) = -2*c. Let a be p(2). Sort j, -3, a.\nAnswer: a, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -5004?\nAnswer: -4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1371 and 465978.\nAnswer: 212951946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 r when four letters picked without replacement from {r: 2, e: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -2, -1\/5, -32.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1655442058453 + -0.5\nAnswer: 1655442058452.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*h + 1 - 35, -2*h = 4*i - 20. Calculate the remainder when i is divided by 9\/2 + (-1)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 979943 = -5*c, 5*c - 979941 = 152*j - 150*j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 29011466?\nAnswer: 23209172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*a**2 - 21*a**3 + 469*a**2 - 4*a**3 - 160*a**2 - 165*a**2.\nAnswer: -25*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -3*x - 4*c, -x - 35 = 5*c + 13. Is -48 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10812a63 - 3?\nAnswer: -10812a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176723078 to the power of 1\/2, to the nearest integer?\nAnswer: 13294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5214)\/553)\/((-2)\/14) is divided by 53.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12710 divided by 155.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -122 in decreasing order.\nAnswer: -1, -12, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3. Let n(d) = -d**2 - 1. Let p(a) = -2*a**3 - 8*a**2 - 10. Let k(v) = -18*n(v) + 2*p(v). Give 5*b(w) + k(w).\nAnswer: w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2061900 and 111012.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 364897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 222*y**2 - y + 1111. What is l(222)?\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140\/6 - (-1)\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5700 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/30 and 117\/290.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -6.1892, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 7*g = -4. Let f = -3 + g. What is the nearest to 0 in f, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2098821515.\nAnswer: 5, 7, 59966329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*c - 44, 793*d - 2*c = 792*d + 22 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 26*p**2 - 44*p + 16. Is s(24) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 5*r**6\/6 + 4*r**5 + 25*r**4\/4 + 10*r**3\/3 + 7. Find y, given that g(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/12)\/((-2)\/120). Suppose 5*l + 7*d + 30 = 5*d, -5*d + 25 = 0. Calculate the common denominator of (-10)\/l*(-260)\/f and 83\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(21) + (sqrt(42)\/sqrt(2) - sqrt(21))))\/sqrt(7).\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 358684 and 358684?\nAnswer: 358684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -5*s - 225. Solve 6*p + s = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-20))\/(3\/(-1))*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 5 + (2 + -14 - -27).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:43 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8165\/2556 - (-91)\/(-28).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99511860 divided by -1085.\nAnswer: -91716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.75048 - 0.28048. What is the second smallest value in 0.03, m, 2, -4\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3147\/5 + 628. Put t, 0.4, -2\/3 in decreasing order.\nAnswer: 0.4, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1756 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -176870.1 rounded to the nearest 100?\nAnswer: -176900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4640*t - 1554422. Determine g(335).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 176*o - 99. What is the remainder when n(23) is divided by 66?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 280795*u**3 - 194.\nAnswer: 280795*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/106 and 53\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-13 - -7) + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1647 + 5429 = j - 3*x, 18920 = 5*j - 5*x. Let g be ((-2)\/4)\/((-1)\/10970). Let c = g - j. What is c rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(104) - 4*sqrt(104) - sqrt(104)))\/(sqrt(56)\/(2*sqrt(7))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395878556.\nAnswer: 2, 31, 47, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88073739 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -190, -375, -562, -757, -966, -1195?\n\"Answer: -p**3 + 5*p**2 - 193*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/195 (b) 3\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -593*b**5\/5 - 837*b**4\/8 + 10390*b**2. What is the second derivative of o(j) wrt j?\nAnswer: -14232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2671 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495 divided by 170.\nAnswer: 99\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from aqalajqjajoa?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j + 8688 = 33*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1476*c + 5953 - 11815 = 20706 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.92179 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 209015189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 30\/(-4))*6\/(-9). Let j = 0 + l. Which is the biggest value? (a) 1 (b) -2\/9 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -78*r**3 - 75*r**2 - 363*r - 420. Let h(q) = 5*q**3 + q**2 + 4*q + 2. Let m(v) = -15*h(v) - i(v). Factor m(d).\nAnswer: 3*(d + 2)*(d + 5)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 9?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140380 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4272*f - 4275*f + 3*r + 128 = -8545*f, f - 3*r - 70 = 0 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 73 = -5*j, -2*t + 0 = j - 69. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 - 191. What is the remainder when 274 is divided by g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let l be (-56)\/(-21)*(-3)\/(-2). Let b(c) be the third derivative of 1\/24*c**l + 0*c**3 + 2*c**2 + 0*c + 0. Give b(p(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z + 1. Give u(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvyuvnxnddd. Give prob of picking 1 d, 1 u, and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + 6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10928 + 11428. What is the smallest common multiple of s and 16?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-52) - (-64)\/416?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15116 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -17*m**3 + 10*m**2 - 8*m + 4. Let u(x) = -33*x**3 + 18*x**2 - 16*x + 7. What is 7*s(c) - 4*u(c)?\nAnswer: 13*c**3 - 2*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -38 - ((-9728)\/(-1280) - -29)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6947\/13 + 537. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 8*g + 23. Let h be u(-10). Sort h, 1, 4 in increasing order.\nAnswer: 1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/27 - -11\/27. Let t(q) be the second derivative of v*q**4 + 0 + 0*q**3 - 3*q + 0*q**2. Let o(b) = -2*b**2. Calculate t(o(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 93 - 38) + -7 - -44.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*t - 42*t - 140*t - 4*t - 88*t - 65*t.\nAnswer: -264*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/55 - (-21 - (-4050)\/198).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 43. Determine a(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 407*d - 414*d. Let b(m) = m**3 - m + 9. Let g be b(0). Let f be d\/(4 - 3) + g. What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232 = -2*k + 20*k + 1124 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -132 (c) 3 (d) -48 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246 + 371. Let o(d) = d**2 - 4*d - 46. Suppose 0 = 10*n - 16 - 104. Let m be o(n). Calculate the greatest common factor of x and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.252 and -1140.86?\nAnswer: 287.49672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1*f)\/f)\/f**(-4))\/((f*f\/(f**(-1\/8)*f*f))\/f*f\/(f*f*f\/f**(-4\/7))) assuming f is positive.\nAnswer: f**(473\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-250)\/(-15)*((-69)\/(-15) + -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49964770 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1395*h**2 + h - 1562*h**2 + 0*h.\nAnswer: -2957*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 263450 + -406630. What is c rounded to the nearest one thousand?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 33 = 2*b + 5*y, -5*b + 15 = y. Suppose -b*g = -4*f - 4, 10*f + 11 = -g + 5*f. Put -25, -4, g in increasing order.\nAnswer: -25, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*v**3 - 29 - v**2 - 39*v**3 + 12*v**2 + 56*v**3 + 2*v**6 wrt v?\nAnswer: 240*v**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6194*r + 1 - 22640*r + 6396*r in the form j + g*r and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = -3*r. Suppose -4*j + 4 = -2*j, -2 = 4*z + 5*j. Is 13 a factor of (z + 5)*r + 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 65)\/7 + -9. Let h(k) = 10*k**2 + 3*k + 1. Determine h(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322692 = 28*a + 88304. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11, 203, -43, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-78)\/(-8) + 12\/48. Let c(w) = w**3 - 11*w**2 + 11*w - 15. Let q be c(s). Let d = -15 + q. Which is smaller: -18 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (-52)\/(-16). What are the prime factors of ((-27)\/6 - w)*-46?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.021942 + 0.022. What is i rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2609152331.\nAnswer: 3463, 753437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1304 + -613. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44340)\/35)\/(-5 + (-35)\/(-10)). Let i = 846 - k. Factor 12\/7 + 2\/7*u**3 - 4\/7*u**2 - i*u.\nAnswer: 2*(u - 3)*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**3 - 7*k**3 + 10*k**3 + (0*k + 0*k - 2*k)*(-53*k**2 + 3*k**2 + 5*k**2).\nAnswer: 99*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -658 + 1109. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aa (base 11) to base 14\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. What is the closest to 0.1 in -5, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnmmnnmnnmnmnnnnnm. Give prob of picking 2 m.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 3 = -4*r. Let h be -6*(-3 + 10\/(-2)). Suppose -2*p + 5*p - h = -3*o, o + r*p = 24. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*y + 49, f + 2*y = -0 + 2. What is the second derivative of -f*g**3 + g**3 + 5*g**3 + 2*g wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 41000. Let m be f(0). What is m rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6374 + 6373. Which is the closest to 0.1? (a) -0.4 (b) 56 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y**2 - 7*y + 13. Let k be j(9). Suppose -f - 23 = -k. Suppose 0*w - 5*b + 25 = -2*w, -10 = -2*w - 2*b. Put w, 5, f in increasing order.\nAnswer: w, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375409681 to the power of 1\/2, to the nearest integer?\nAnswer: 19375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 0 = n - 1, -8*i = -40*n + 45*n + 51 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*p*q*z**3 - b*p*q - 2*b*p*z**2 - 8*b*p*z + b*q*z - 88*b*z**4 - 3*b*z**2 - 429*b*z + 78*p*q*z**3 + 10*p*q*z**2 wrt z.\nAnswer: -18*b*p*q - 2112*b*z + 468*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-2 + 2*sqrt(56)*1)\/(sqrt(24)\/(sqrt(6)\/sqrt(2)) - (sqrt(200) - (sqrt(200) - 2*sqrt(200)))).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lab when three letters picked without replacement from ulbar.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/659 - -2654\/5931. Let c = -1\/64 - 113\/960. Let z be (-14)\/(-12) - 2\/4. What is the nearest to z in a, 3\/5, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*7\/35*(-2)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 110 + (2*-3 - -4) - 4. Suppose -102*v + y*v = 6. Solve v*q = -b + 5, -2 = -q - 5*b - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + 0.76528429\nAnswer: 0.64528429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4176, 16900, 38172, 67986, 106336, 153216, 208620, 272542?\n\"Answer: -t**3 + 4280*t**2 - 109*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11249*z. Let s(h) = -97685*h. What is s(t(g))?\nAnswer: -1098858565*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 16*o**2 - 2969*o + 390. Determine k(-47).\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:39 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 39803324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -4*h - h - 32. Solve 4*q + h*k + 7 = 1, -5*q = k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum 41665 and -42451.\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 149*a**3 - a**2 - 1. Let n be m(2). Suppose -17*g - n = -7392. What are the prime factors of g?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/3 - 27\/3. Let c = l - -21. Find the third derivative of 327*v**3 - c*v**2 + 11*v**5 - 327*v**3 wrt v.\nAnswer: 660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 + 52*o - 104. What is n(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -38, -89, -192, -365, -626, -993?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6774083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-2)*48\/72\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 43*h + 189. Determine x(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40760116 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-4)\/(-54 + -2))\/((-3)\/(-21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/3228470 and -83\/1785?\nAnswer: 9685410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127, 140, 151, 160, 167, 172, 175?\n\"Answer: -m**2 + 16*m + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -58. Suppose 0 = -5*k + 94 - 299. Let b = k + g. Solve 5*j + 2*d = 17, -2*j + 0 = -2*d - b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28594541, 28594569, 28594597, 28594625, 28594653, 28594681?\n\"Answer: 28*s + 28594513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8782705 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111100111001000101010 (base 2) to base 3\nAnswer: 10202101001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 26591*k + 707081281\/2.\nAnswer: (k + 26591)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*v**4 - 364*v**3 - 4772*v**2 + 27404*v + 20280 = 0. Calculate v.\nAnswer: -13, -2\/3, 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 3 = -11*s. Let b = -1 - -2. Let k = -1 + b. Solve k = 5*q - s*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210804 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 6, j: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033.279ml in litres?\nAnswer: 4.033279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/10)\/(4\/(-20)). Suppose -m = -3*u - 132, 3*m + 3*u - 367 = -31. What is the units digit of (-2)\/(-8) - m\/n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:59 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -2. Let v = y - 2.5. Let w = 3.5 + v. Which is the third smallest value? (a) -1\/5 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:32 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 3 in decreasing order.\nAnswer: 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 207, 4, -0.05, 12\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139718539 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 117*q**3 + 4*q**2 - 23*q + 30. Let p be m(-6). Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-406)\/(-253750)*15*(-14)\/(-21).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 12*w**2 + 9. Let g be t(12). What is the common denominator of 23\/44 and (-24)\/(1 - g)*(-89)\/216?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55914, 111838, 167764, 223692, 279622, 335554, 391488?\n\"Answer: q**2 + 55921*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*((-850)\/(-18) - (-6)\/(-27)) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (-1 + sqrt(171)))*1)**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16014433?\nAnswer: 3803, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -670, -3548, -8352, -15082?\n\"Answer: -963*k**2 + 11*k + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 6*u**3 - 18*u**3.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z**5 - 222159*z**4 + 1365312*z**3 + 5157468*z**2 - 14947248*z + 1898112 = 0 for z.\nAnswer: -4943, -4, 2\/15, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 360151579 - 0.4\nAnswer: 360151578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51835 or -52128?\nAnswer: -51835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2784362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(2448) + sqrt(2448) + sqrt(2448))**2*-4.\nAnswer: -352576 + 2304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**3 - 6*c**3 - 3*c**3 + (-7 + 7 + 2*c)*(0 + 0 - 2*c)*(-4*c - 16*c + 8*c).\nAnswer: 47*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28006, 27939, 27816, 27601, 27258, 26751, 26044?\nAnswer: 25101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 5*a + 3. Let b = -3 - -4. Suppose 3*v + 16 = b. What is j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 smaller than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -210 - -1?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + -1*(5 + (sqrt(396) - sqrt(396)*-1 - sqrt(396) - sqrt(396))**2 - (0 + sqrt(1584) + 5)**2)).\nAnswer: 480*sqrt(11) + 6416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -336, 5, -5.\nAnswer: -336, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -531 + 761. Suppose 3*w - 722 + q = 0. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 4) + (-2 - -30). Let k = c - 18. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63927477 rounded to three dps?\nAnswer: 0.639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 29. Which is the fourth smallest value? (a) -3 (b) -2\/11 (c) w (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*v = 7*l + 39, -5*v + 15 + 0 = 545*l - 540*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1011001000110 (base 2) to base 4\nAnswer: -1121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8, 5, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1223034 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 72*m**3 - 3*m**2 - 9*m + 18. What is the units digit of w(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/120 - 3*r**5\/20 - r**4\/24 + r**3\/6 + 27*r**2. Determine n(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/9)*a**3)\/((a\/(((a\/(((a*a**(-3\/7))\/a)\/a))\/a)\/a)*a*a)\/a**(1\/2)))\/((a*a*a**(1\/4))**32*(a\/a**(2\/5))**(-3\/5)) assuming a is positive.\nAnswer: a**(-218891\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*i**3 - 12\/7*i**2 - 2\/7*i + 12\/7.\nAnswer: 2*(i - 6)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 15 = 337. Calculate the remainder when 130 is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270619 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 16*f + 2*d + 28 = 21*f, 1036 = 2*f - 58*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 t when three letters picked without replacement from ftjppwjwwjjy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30504 and 62309504.\nAnswer: 10168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6725460712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/24 + 6)*9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 + -290. Let z be (36\/81)\/(8\/t). Factor -4\/3*q - 2*q**3 + 0 + 2\/3*q**5 - z*q**4 + 10\/3*q**2.\nAnswer: 2*q*(q - 1)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 49 - 43, p = -2*a + 7. Factor 0 + 0*c - 6\/5*c**2 + 3\/5*c**p.\nAnswer: 3*c**2*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 4*c + 1. Let m be i(-3). Suppose 2*v + m = 3*x + 39, v + 2 = 0. Let u = 6 - x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-5*n - n + 0*n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**4 - 2*m. Let n(h) = h**4 - 11*h**3 + 3*h**2 - 10*h. Let j(o) = -n(o) + 5*z(o). Let j(q) = 0. What is q?\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 10 - 11 = 0. Let s(d) be the first derivative of 0*d + 2\/3*d**p + 0*d**2 + 3. Let l(z) = 5*z. Determine s(l(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 + 15*x**3 + 180*x**2 - 540*x = 0. What is x?\nAnswer: -6, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 139026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l*q**2 - 2*l*q - 769*l + 31*q wrt q.\nAnswer: 6*l*q - 2*l + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 1. What is f(15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -20 (b) 11 (c) -0.2 (d) 93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**3 - 2*v + 2*v)*(-4 + 3 + 5)*(-163*v + 333*v + 441*v - 2).\nAnswer: -14664*v**4 + 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5029 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1584 - 1580. Let u = 605 + -608. Let z(o) = -5*o - 11. Let h(w) = w + 1. Let n(y) = -4*h(y) - z(y). Let g(v) = v + 6. Determine p*g(m) + u*n(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*o**2*x + 10*n**2*o*x**3 + n*o**2 - n*o*x + 2*n*x**3 - 12*o**2*x**3 wrt n.\nAnswer: -2*o**2*x + 20*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y = 91*y + 24*y + 1508 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 9 = -28*a + 3 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/120 + h**5\/15 - h**3 - 4*h**2. Let m be (-4 - -10)*(-1)\/(-2). Let x be s(m). Sort -1, x, -2 in descending order.\nAnswer: x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112934\/7 + 112940\/7. Factor 18\/7*n + 24 - s*n**2.\nAnswer: -6*(n - 7)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/2 of a litre in millilitres?\nAnswer: 24500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-10) - -1)*30. Let r be ((110\/20)\/(-11))\/(1\/(-6)). Solve 4*a - 12 + 35 = -v, -r*a - l = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*n - 106*n - 12. Let u(q) be the first derivative of q**4\/4 - 7*q**3\/3 + 3*q**2 - 3*q + 1. Determine u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4854 + -1238143.82?\nAnswer: -1238143.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1091 + -141?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + 36. Suppose -5*t = -4*n + f, 7*t + 20 = 4*t + 5*n. Let u be ((-2)\/(-10))\/((-6)\/t). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2161016 (base 9) to base 13\nAnswer: -318bca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = -57*v + 804204. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 3:03 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n + 6*n**2 + 12*n)*(n**2 - 5*n**2 + 3*n**2) - 2*n**3 + 2*n**3 + 2*n**4 + (6*n - 3*n + 0*n)*(4*n**2 - 4*n**2 + n**3).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*w = 40, 0*u - 4*w + 48 = 4*u. Solve -3*l - u = 4*i + 2*l, -4*i + 2*l = 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/7 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 688 + -685. Which is the closest to 2\/5? (a) 0 (b) t (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 59. Let s = z - -33. What is the smallest value in -3, -0.03, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36565 by -71.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2, 32, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 87. Suppose 0 = -k + 3*t + 27, -31 = 2*k - u*k + 4*t. Calculate the lowest common multiple of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 15. Let y(o) = -7*o - 15. Let b(g) = d(g) - y(g). Let t(l) = -9*l**2 - 2. Let n(q) = -28*q**2 - 7. Let w(m) = 2*n(m) - 7*t(m). Calculate w(b(c)).\nAnswer: 448*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15*g + 1209 = 0. Suppose 0*x = x + 2*a + 23, 4*x + 87 = -3*a. Find the common denominator of 4 + g\/x + -1 and -68\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2*a + 8, a + 25 = -y + 29 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*r - 28*r - 3280 = -92*r + 102*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -678093 or 8?\nAnswer: -678093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**4 + 157. Let r(j) = 6*j**4 + 470. Let u(p) = 8*l(p) - 3*r(p). What is the first derivative of u(t) wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 108 - 184 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(-6 + 5 - 4) - 4 + 5 - 2)*(-2*z + 2*z - 2*z**2).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -1\/2*k**2 - 25\/2*k - 33 = 0?\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 84*f - 403. What is g(-24)?\nAnswer: -2419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.1, -0.1, 3 in decreasing order.\nAnswer: 3, 0.1, -0.1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*i**3 + 1)*(-14 - 6 - 1).\nAnswer: -63*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*r - 25, 15 = -7*s + 10*s. Let z(v) = -r - 13 + v + 8. Let j be z(8). Let p(q) = -14*q**3 + q**2 - 1. Determine p(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 5*h**2 + 3*h - 4. Let m be o(-4). What is the derivative of m*w**4 - 1 + 4*w**2 - 2*w**4 - 4*w**2 wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3410 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 928b72 (base 12) to base 15\nAnswer: 30566e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*y + 30*y - 4424112 = y. Is 66 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3690262 + 3690324 - (-1 + 0 - -2 - (0 - -15)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:17 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8902 - 8886. Solve -l + x - 5 = 0, l + o*x = 13*x + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147082 (base 10) in base 8?\nAnswer: -4300312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 335046da - -1?\nAnswer: 335046db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1001100110101011110?\nAnswer: -1001100110101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-6)\/(2 + 1). Suppose 2*p + s = j + 2*j, -5*j = -3*p - 3. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 69 + -1 + 31\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 + 3*2\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -47. Let p = v - -10. Which is the second smallest value? (a) -0.1 (b) 13 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -6. Let n = 128 - 105.4. Let h = -23 + n. Sort -2, u, h in ascending order.\nAnswer: u, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4*-74 + 22\/(22\/9). Sort 2, v, -5, -1, 1\/28.\nAnswer: v, -5, -1, 1\/28, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 + 5*c + 10. What is p(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -816 - -820. Solve -3*u = 3*m + 9, -h*m - 4*u - 11 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 414*s**3 - s + 413*s**3.\nAnswer: -s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -121*x**3 - 22*x + 22. Let a(t) = 27*t**3 + 5*t - 5. Calculate -22*a(c) - 5*d(c).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -1. Let c = r + -4. What is the remainder when 11 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3962467.5 - 3962297.49921. Let z = p + -170. What is z rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**2 - 8. Let b(y) = -y**2 + 1. Suppose -4*c = -5*g + 4, c - g = -6*g + 24. Suppose 4*x + n - 5 = 0, -n = -c*x - 0 + 3. Determine x*a(p) + 6*b(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*b + 80 = 0, 2*b = -1786124 + 1786152 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 108, 2 in increasing order.\nAnswer: -9, 2, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -57) + -3 - (0 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/15))**27 assuming p is positive.\nAnswer: p**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is aa7 (base 15) in base 3?\nAnswer: 10022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 276510?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 168, 164, 158, 150?\n\"Answer: -t**2 - t + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34879293*g**3 - 1028599*g + 38?\nAnswer: -209275758*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*v - 8460 = -227*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 154.99. What is z rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 16*l**2 + 6 + (-4*l + l + 4*l)*(-l - 2 + 2) in the form k*l + f*l**2 + w and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/11)*d*d*d**(-14)*(d*d**(6\/13)*d)\/d**(-2\/9) assuming d is positive.\nAnswer: d**(-12224\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425 less than 35319.035?\nAnswer: 30894.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.6320944 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 321270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.1 years to decades.\nAnswer: 6.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25826599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*f, -559*f = 6*x - 572*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, 4, 5486 in ascending order.\nAnswer: 0, 4, 17, 5486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 - 44374*j**3 + 489816349*j**2 + 54283157940*j + 1496487356100.\nAnswer: (j - 22242)**2*(j + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 12*c + 158 - 78)*(-2 + 3 - 2).\nAnswer: -12*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - -108. Suppose -2*j - 5*u + 87 - 10 = 0, -5*u = -3*j + f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 101*o**8\/112 + 47*o**4\/12 + o**3\/3 - 34*o**2. Find the second derivative of m(c) wrt c.\nAnswer: 6060*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 7*m**2 + 8*m + 3. Let n be t(-5). Suppose 5 = -p + n. What is the lowest common multiple of p and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o = 36*o + 4*w - 22, 2*o = -w + 10. Suppose 4*d = -d + 15. Solve 5*q - d*m = 17, o = 3*q - m - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*b*j**3*w**2 - 80*b*j**3*w - 2*b*j**2 + b*j*w**2 - 10*b*w**2 - 2*j**3 wrt w.\nAnswer: 70*b*j**3 + 2*b*j - 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 352211115 (base 6) in base 4?\nAnswer: 120332313113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 - -10)) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(228))\/sqrt(4) + sqrt(627)\/(sqrt(22)\/sqrt(2)))*1)\/(sqrt(363) + sqrt(363)*1*2 - -1*sqrt(363)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2 + 4*h - 2. Let x(m) = 3*m - 18*m + 5*m + 7*m - 36. Let i be x(-11). Is 3 a factor of k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 11 (b) -79 (c) 2\/3 (d) -1 (e) 5\/24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/17 (b) -22.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -505*p**3*x + 2*p**3 - 3*p**2*x - 24*p**2 + x wrt p.\nAnswer: -3030*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - 1 - (-44 - -22 - -25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*o*r**3 - 4*c**3*o*r**2 + 2*c**2*o*r**2 + 441*c*o*r**3 + c*r - 4*o*r**2 wrt r?\nAnswer: 12*c**3*o + 2646*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7312 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.0558476\nAnswer: -0.4558476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*f + 177 = 774 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z - 36*z = -1080 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -459\nAnswer: -4\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptt when three letters picked without replacement from mtpoto.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 10:00 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 2 z when four letters picked without replacement from uzzzucvzzzuuvz.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 2*k**2 + 0*k**2 + 25826*k - 25831*k.\nAnswer: 5*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2314 >= -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/12 - 37\/84. Let h = 5 + -4. Let w be -2*(-2 + (-2 - -2)). What is the closest to h in 2, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2\/2 + n - 585. Let m(v) = 282 - 260 + 12*v + 12*v. Calculate 4*m(t) - 88*o(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(4 + -2 + 2 + (sqrt(1331) - (1 + sqrt(1331))) + -1))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 665.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:16 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 27 = -3*d, 122 = -4*d + 138 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 - 201. Let r(q) = 3*q**3 + 21*q**2 - 5*q - 9. Let w be r(i). Sort w, -1, -5.\nAnswer: -5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3146, -601\/2 in decreasing order.\nAnswer: -0.4, -601\/2, -3146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 35. Let b(w) = 3*w**2. Determine b(j(u)).\nAnswer: 3*u**2 + 210*u + 3675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-13))\/(v\/(v\/(v**(-1\/6)*v))))**(1\/21) assuming v is positive.\nAnswer: v**(-71\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 24 + 36 = 5*z, 2*x + z - 20 = 0. Let c be (-5*x\/(-20))\/13. Are c and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (918312\/(-765310))\/3 + -36*(-13)\/1170. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29233254?\nAnswer: 2, 3, 103, 47303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0\/(-9 + 11 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*l)*(-4*l - 7 + 7) - l**2 - 2*l**2 + 4*l**2)*(1 + 0 + 0).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i - 3*m - 12 = 0, 3*m = -4*i - 30. Let s be i*(-4)\/(-16)*4. Let u(a) = a**3 + 5*a**2 - 5*a + 7. What is u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.1, 0, -5, -10, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*w - 8*w**2 - 11*w**2 + 20*w**2)*(0*w - 2*w - 12*w) as t*w + l*w**3 + g + k*w**2 and give k.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881 = -35*r + 496 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g - 11. Let b(f) = 5*f**3 - 2*f**2 + 2*f - 2. Let a(r) = 11*r**3 - 5*r**2 + 5*r - 5. Give g*b(q) + 2*a(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u**2 + 5*u + 2. Let i(a) = -502 + 1023 + 2*a - 520 + 8*a**2. Determine -5*i(t) + 2*n(t).\nAnswer: -10*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 - 2*f + 1\/6*f**3 + 1\/2*f**2. Determine k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 5*h - 2*h - 3*h)*(-113 + 175*h + 113)*(0 + 0 - 2*h).\nAnswer: -700*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 17*t**2 + 17*t + 27. Let c be k(18). Suppose 2*f = -3*r + 3366, -4*r + 4488 = -c*f + 12*f. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -354.2 + 354. Which is the closest to 2? (a) 2 (b) 6 (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i**(-9))**(-22) assuming i is positive.\nAnswer: i**330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11208*k = -11197*k + 22486*k + 8262 for k.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 527 - 500. Solve 3*z - 3 = 3*u - 0, 3*z = -3*u + m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -21*a - 198. Suppose 5*v = -4*o + 50 + a, 20 = -4*v. Let x(q) = -19*q - 17. Let j be x(-8). Calculate the highest common divisor of o and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 43. Let i = -43.2 + j. Round i to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*o - 51*o + 4*c - 70536, -105849 = -3*o + 3*c. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 - -234. Let z = -2 + 6. Suppose -q = -4*m - 20, -3*m = 3*q - z - 116. What is the least common multiple of q and x?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d - 275. What is the remainder when w(-111) is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 > 3465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-573)\/2*(3\/9 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.47 (b) -0.6 (c) 1\/3 (d) -5 (e) -1\/7 (f) -1 (g) -0.096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43920 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*h - 35*h + 117*h.\nAnswer: 184*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -724*s + 1444*s + 76*s**3 - 720*s + (2 + 0 - 1)*(-s**3 + 0 + 0) to the form v*s**3 + u*s + j + w*s**2 and give v.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 7*u - 5. Let v be t(-5). Let f = 49.7 - 53. Let o = 3.8 + f. Which is the third biggest value? (a) o (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1036305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25572920 and 33670.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2 + 10*j + 28 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16159 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9069*-2.937.\nAnswer: 26635.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29996 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/8)\/((-14)\/(-8)). Let i = -571 - -569. Which is the smallest value? (a) i (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - -85. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) 19 (c) -3 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2035*y + 54947. Let j be d(-27). Solve -8\/3*w + 0 - 4\/9*w**j = 0 for w.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30686105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/(k*(k\/(k*k**(7\/9)\/k*k))\/k*k))\/k)\/k*((k**(10\/3)*k*k*k)\/k)\/k)\/(((k*k*k*k\/(k*k*k\/k**30*k*k))\/k)\/(k*k**(-26\/5))) assuming k is positive.\nAnswer: k**(-1219\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - 1 = -22*a, q = -3*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 208, 508, 1082, 2020?\n\"Answer: 15*a**3 + 2*a**2 + 5*a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 - 11120413120?\nAnswer: -11120413011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4 + 3 - (-3)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163795 divided by -46.\nAnswer: -163795\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6990609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 120*d**2 + 146*d + 3238. Give m(-119).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + ((-5)\/3)\/1. Suppose -3*i + 70 - 47 = -4*g, -28 = -4*i + 4*g. What is the closest to p in -1\/4, -1, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -52*i**2 + 7. Let v(b) = -44006*b. What is v(n(m))?\nAnswer: 2288312*m**2 - 308042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044253313 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i**5 + 267*i**4 - 216*i**3 - 276*i**2 = 0. Calculate i.\nAnswer: -2\/3, 0, 2, 23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 3 = -3*r - 14*s, 2*s + 5 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b - 3*b + 3*b)*(20 - 9 + 3) + (0 + 1 - 4)*(2*b + 0*b + 0*b) + 5*b + 0*b - 2*b)*(-3*b - b**2 + 5*b + 0*b**2).\nAnswer: 17*b**3 - 34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/17)*j\/((j\/j**3*j*j)\/j)*(j**3)**11)**(-4\/15) assuming j is positive.\nAnswer: j**(-792\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -66, -161, -330, -597?\n\"Answer: -4*k**3 - k**2 - 14*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22659, -44750, -66841, -88932, -111023?\n\"Answer: -22091*q - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3536294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/7169, 0.5, -2\/3 in descending order.\nAnswer: 0.5, -1\/7169, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -8 - (28 + -62 + 47)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165\/203 - -7\/29. Let v = -254.5 - -254.1. Which is the third biggest value? (a) -114 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 12*l + 2. Let g(s) = -s - 1. Let u(w) = 6*g(w) + m(w). Let i be u(9). Let z = i - -45. What is the least common multiple of 24 and z?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2 + 4*h + 4. What is the remainder when s(-3) is divided by (11 + -10)\/(11\/154)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 19*c**2. Let s(n) = n**3 + 2*n + 4. Let a be s(0). Let q(o) = -3*o - a*o - 4*o + 13*o. Calculate j(q(p)).\nAnswer: 76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 379 + 97. Let w be (-19)\/(133\/80) - 3\/(-7). Let b be 4\/(-16) + 3\/12*w. What is the smallest value in b, 4, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**3 + 1416*d**2 - 37*d + 2. Let s(u) = -3*u**3 - 8*u**2 + 1. Let m(z) = l(z) - 3*s(z). Find the second derivative of m(t) wrt t.\nAnswer: -12*t + 2880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.92 + -2.22. What is the closest to -4\/15 in b, 3, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2882003 + 2689365 = 2*k - 4*q, -k - q = -2785678. Let s = 1933680 - k. What is s rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -1.5118?\nAnswer: 98.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7952563 a multiple of 499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-3))\/(112\/84)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**2 - 38*i - 287. Give a(-8).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3868, 3861, 3854, 3847, 3840, 3833?\nAnswer: 3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 3*z**5 - 4*z**5 + (-3*z**2 + 2*z**3 + 3*z**2)*(2*z**2 + 10*z**2 + 4*z**2) - 148*z**5 - 186*z**5 + 22 - 22.\nAnswer: -305*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96655.\nAnswer: 5, 13, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjggjjgj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*u - u + u)*(-1 + 2*u**3 + 1) + 520*u**4 - 1030*u**4 + 526*u**4.\nAnswer: 20*u**4 - 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1031.033 + -1032. Let w = l - -0.047. Let f = -0.08 + w. Which is the second biggest value? (a) f (b) 2\/15 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(9\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 18, 47, 1, 2 in descending order.\nAnswer: 47, 18, 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*o**2 + 137*o**4 + 164*o**4 + 6*o**2 - 3*o - 1121 - 2*o**2 wrt o?\nAnswer: 1204*o**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18595.4 - -0.72462.\nAnswer: -18594.67538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 11 + 77 + 6*t + (-5 + 3 - 1)*(-t - 4*t + 3*t) in the form f*t + v and give v.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0613488 + 0.0146?\nAnswer: 0.0759488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -47430545745+0.6\nAnswer: -47430545744.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = 2*c + 3*c, 3*c + 3 = -3*a. Let s(r) = -r**2 + 21. Is 21 a factor of s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153302008 or -153302009?\nAnswer: -153302009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:02 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30446 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = b - 2*w - 11, -3*b + 31 = -4*w. Suppose 9 + b = 9*z. Solve -4*r = g, r + 11 = 2*g - z*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s + 0*s)*(-1 - 2 + 2) + 0*s**2 + s**2 + s**2 + (-3*s + 4*s + s)*(3*s + 3*s - 5*s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 23. Suppose -v*z = -19 + 7. Suppose z*s - s = 10. What is the lowest common multiple of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 1b?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/21 - -10\/21. Let w = -6 - -10. What is the third smallest value in -2, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (17 - (-10 + 28))*(0 - 20)*-2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2864 - -4.\nAnswer: 3.7136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -476? (a) -5 (b) -1.6 (c) 59 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1944) + sqrt(54))\/sqrt(6))\/(-3*sqrt(48)*5).\nAnswer: 29*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*v + 17894 = 4*z, 0 = 3*v + 9. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82.3 - 474.3. Let f = -392.6 - s. Which is the second smallest value? (a) f (b) 0.1 (c) -0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -37*s**5\/60 - 174*s**2. Let m(d) = 5*d**2. Give n(m(w)).\nAnswer: -925*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = -39 - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - 0) + -10 + 16 + 88 + -55.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -1114*v**5\/5 + 1042*v - 1125. Differentiate s(g) wrt g.\nAnswer: -4456*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-360))\/(156\/27)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3162*s + 63251 = 9497 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2800.015 + -2807. Let p = r - -7. Let w = p + -0.015108. What is w rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 17.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8427 - -8422. Put p, -4, -14, -22 in increasing order.\nAnswer: -22, -14, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6 (b) -2\/23 (c) 1\/5 (d) -1\/2 (e) -1\/4 (f) 4 (g) 3\/679\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 2\/15 (c) 366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**2 - 17*s**2 + 24*s**2.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4054 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*h - 19928 = 42*h - 19248 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 = 4*v + 12*v. What is the remainder when v is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4 = o. Let a be (-1 + 11)\/((1\/o)\/3). Let w be (-2)\/6 - a\/(-9). Solve -4*k = q + 22, -k = 8*q - w*q + 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:07 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*s - 774*s - 36168 = 569*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 4. Give c(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/45)\/(3\/190). Let v = w - 33. Let u = -30 + v. What is the remainder when 51 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-6)\/9 + 285. Suppose 77 + n = 5*p. Let s be (-10)\/(-45) + 38\/p. Which is the smallest value? (a) -2 (b) s (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8371 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56765 is divided by 158.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s. Let r be 1 + -18 - (-3)\/3. Let q = r - -6. Let n(o) = 3*o**2 + 3*o. Let j(g) = q*p(g) - 4*n(g). What is f in j(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**3 + 3*d**2 - 10*d + 55. Let n(j) = -2*j**3 - j**2 + 3*j - 18. Determine 7*n(l) + 2*u(l).\nAnswer: -2*l**3 - l**2 + l - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 17*n = q + 290, -4*q = -8. Let k be (7 - n\/(-40))*20\/(-24). What is the nearest to k in 23, -2\/15, -2\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13705594 divided by 39958\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5 = -60*p - 3*m + 5, 24 = 2*p - 4*m + 64 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 + 2412*w + 26577. Give a(-11).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/13))\/a)\/a*a**(-2\/7)*((a**(1\/4)*a)\/a)**(-13) assuming a is positive.\nAnswer: a**(-1595\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:31 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.19096 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*w - 8 - 5)*(2 - 66 - 33 - 17 - 19) in the form n + o*w and give n.\nAnswer: 1995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d + 148. What is the remainder when i(-37) is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) -5 (c) 1\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*c + 24 = 0, 4*j - 26 = 5*c + 9. Solve 8*a = j*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -689, -687, -683, -677?\n\"Answer: o**2 - o - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2183.91 months?\nAnswer: 1.819925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.18 and -186\/43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {f: 3, i: 1, x: 4, d: 3, k: 6, m: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m - 92 = 0. Let n = m - -33. Suppose -n - 23 = -3*i. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16909 - -16954. Solve 63*x + p = -459 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/4 - 4460*l**3 + 29837400*l**2 - 88716536000*l + 98918937640000.\nAnswer: (l - 4460)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:39 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -639275 divided by -5\nAnswer: 127855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 37*k + 18*k + 19*k. Let j(o) be the second derivative of -o**4\/3 - 5*o. Give j(z(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+6.1172573\nAnswer: 5.9172573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004125 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 4*o - 209*o**2 + 433*o**2 - 223*o**2 as s + m*o**2 + q*o and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 23*o - 17. Let z be d(-7). What is the nearest to z in 3, -1, -3.79?\nAnswer: -3.79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c - 88*c**2 - 1816*c**2 - 10*c - 1009*c**2 to z*c + o + q*c**2 and give q.\nAnswer: -2913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -2\/5, -2\/501?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 5 - 0 - -6 - (-42 + 102).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 755640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-10)\/8) - -7. Let k(d) = 2 + 2 - d + p*d - 8. Let f be k(3). What is the greatest common factor of 16 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -2885, -6548, -11677, -18272, -26333, -35860?\nAnswer: -46853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -868 + 1232. Calculate the greatest common factor of 112 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -23*k**2 + 524*k - 1954. Determine b(17).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -75. Suppose -3*h = -4*u + r + 100, 3*u - 5*h = 91. Let t = u + -12. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let x(m) = -m. Let o be 14\/(-63) - (-40)\/18. Let d(u) = 14*u - 3*u + 2 - 2*u - o*u. Let k(q) = d(q) + 4*x(q). Determine 4*a(p) + k(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -144498.23 rounded to the nearest 1000?\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66356, 66354, 66350, 66344, 66336, 66326?\n\"Answer: -u**2 + u + 66356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let k = -1.9 + j. Let p = 1.9 + k. Is 0.1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -353*i**2 - 23249*i + 23250. Calculate y(1).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20376 divided by 10500?\nAnswer: -1698\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((3600\/125)\/48)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33288 and 45552?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:07 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-15)*(-6)\/(-4). Suppose 4*m - x*n - 27 = 13, -5 = 2*m + 3*n. Find the second derivative of 0*d**5 + 2*d + 2*d - 3*d**m - 6*d wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.82 + -2. Let q = a - 0.02. What is the second biggest value in 6, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - -1074791571.9.\nAnswer: 1074791607.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43704682 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 279971192 to the power of 1\/2, to the nearest integer?\nAnswer: 16732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2 + 5. Suppose s - 5*b = 25, 15 = 7*s - 2*s - 3*b. Let v be g(s). Calculate the remainder when 34 is divided by (36\/15 - 0)*v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*w = -75*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9.7908*0.9\nAnswer: 8.81172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890516?\nAnswer: 2, 3, 157543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 9. Let q be 178\/w - (-8)\/24. Suppose -3*d - 1 + 37 = 0. Calculate the highest common divisor of q and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/70 - 1804\/(-7). Round u to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {a: 2, z: 2, f: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 18*g + 78. Is v(-12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5552740741 to the nearest 1000000.\nAnswer: 5553000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 29*t + 4. Let n be o(0). Suppose 4*l - 5*w + 53 = 0, 5*l - 3*w + 45 = -5. What is the smallest common multiple of 9 and l\/(-4)*(-3)\/((-3)\/n)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-315)\/(-60) - (-1 + 20\/16). Suppose 4*x - 3*a + 103 = 0, 10*x - g*x + 5*a + 120 = 0. Which is smaller: -1.5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 12*k**2 - 12*k + 18. Let d be q(-13). Let f be (130\/4)\/d*2. What is the greatest common factor of f and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*m - 25 = -0*m, -3*d - 15 = -3*m. Suppose 4*c - 3*c - 2 = d. What is the third derivative of c*i**4 + i**2 + 0*i**4 + i**2 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2686508113?\nAnswer: 17, 73, 317, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8 - 12, 4*v - 5*w = -155. Let q be ((2 - 5) + v\/(-15))*-66. What is the highest common divisor of q and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17314511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 6*s - 32, -2*s - u + 11 = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3672.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012714 to 4 dps.\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:42 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -3 + (-2 - (36 - -13))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22901\/7 + 3271. What is the third biggest value in 5\/3, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10191771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.4. Suppose 197 = -2*r - 5*v + 43, 0 = 3*r - 2*v + 250. Let u = 497\/6 + r. Sort u, x, 2 in increasing order.\nAnswer: x, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 308*d - 305*d = -44, 5*v - d + 93 = 0 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 796649 divided by -1559.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 + 1.92. Let o = 0 - s. Sort o, 41, 2\/9 in descending order.\nAnswer: 41, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 0. Let k = -245 - -245.171. Let d = -0.331 + k. Put -5\/6, i, d in ascending order.\nAnswer: i, -5\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4596 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than or equal to -30878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from ddjmmmdjmjmmmmmd.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 100*t - 1394. Calculate l(22).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485900849 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/(7197\/64773)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 1)*(24*k - 86*k + 25*k) to the form o + f*k and give f.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2232 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1976374 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 467\/277 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.86 + -2.04. Which is the second smallest value? (a) l (b) 3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = -y - 5, -m + 2*y = -5. Let q = m - -5. Suppose -w - 46 = -q*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -m - 5*p, 16*m + 2*p = 15*m - 16 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -p + 2*p. Calculate the remainder when -3*p\/18 + 22 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -27*r + 165. Let u be k(6). Suppose 3*w = 3*v - 105, 0 = -2*v - u*v - 4*w + 211. What is the greatest common factor of v and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 1 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -109*r**3 + r**2 + 6*r + 5. Let q be y(-1). Let l = q + -46. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/5 (c) 1\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 5*z**3 + 0*z**2 + z**2)*(0*z + 2*z - 3*z)*(-3 + 2*z + 3).\nAnswer: -2*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 72. Suppose c*i = -5*t + 15, -t + 3*i + 6 = t. Suppose 136997 = q - 3*a, 2*a - 274005 = -2*q - t*a. Round q to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21456*t + 21699*t - 3513 - 2319 = 0 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/70 and 13\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -312 - -529. Suppose -167 = -4*i - 3*r + 137, -3*i = 5*r - o. What are the prime factors of i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 1 + 5*r**2 - 1 - r**3 + 1 + 2*r**2. Let g be o(6). Suppose 0 = 3*j + 3*i - 39, -5*j + 34 = 3*i - g. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = -4*a, -d - 30 = -6*d - 4*a. Let m(h) = h + 22. Let r be m(d). What is the greatest common factor of r and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 31) + -2 + (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 l when four letters picked without replacement from hlllhllhlhhllhhhlhlh?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2116*b**4 - 1051?\nAnswer: -8464*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 768*p\/5 + 73728\/5.\nAnswer: 2*(p - 192)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -37, -51, -39, 17, 135, 333?\n\"Answer: 3*x**3 - 14*x**2 - x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -5, -0.09, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/3 (b) 29 (c) -0.3 (d) 5 (e) -1 (f) 128 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i**2*k*l**2 - 2*i**2*k*q - 870*i**2 + 751*i*l*q - k*l - 2*l wrt l?\nAnswer: 8*i**2*k*l + 751*i*q - k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 5 + 5 + (-3 + 3 - 2)*(2*z**3 + 2 - 2) + z**2 + 3*z**3 - z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/109 (b) -5 (c) 131 (d) 0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 2 (d) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 9. Let i = -3 - r. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 43. Let o be k(14). Let m = o + -110. Solve -f = -5*t - 0*f + 27, -m*t + 5*f + 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16789288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -32, -61, -100, -149, -208, -277?\n\"Answer: -5*r**2 - 4*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = 5*y, -4*y - 548*j - 16 = -553*j. What is the second smallest value in -3\/5, 4, y, 63\/16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109, 210, 307, 400, 489?\n\"Answer: -2*j**2 + 107*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:00 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55002039 to the nearest integer?\nAnswer: 7416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*c - 93. Suppose -7*k = -97 - c. Suppose 0 = -27*j + k*j + 1002. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1*3\/(-9). Factor -2\/3*n + 4\/3*n**3 + 0*n**4 + 0*n**2 + 0 - s*n**5.\nAnswer: -2*n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*k + 8 + 7, -4*k = 12. Let v = -3 - -7. Let g = p - v. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - r - 102, -i + 5*i = r + 82. Suppose 79*h = 77*h + i. Suppose 0 = h*n - 711 - 339. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*l + 906486 = 3*l. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w**4 - 73\/3*w**3 - 2\/7*w**7 + 0*w**5 + 28 + 0*w**2 - 29\/6*w**6 + 0*w. What is the third derivative of i(j) wrt j?\nAnswer: -240*j**3 - 1740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3276*g**3*m - 3*g**2*m - 82*g**2 + 2*g*m wrt g?\nAnswer: -19656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 3*s**2 - 4*s + 2. Let w be b(-4). Suppose w = 5*g - 23. Solve -g*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + -114?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.439088.\nAnswer: 0.0439088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 3236913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -q, d - 3*d + 3*q = 15. Suppose d = 2*c - 10. What is the third derivative of n**2 + n**2 + n**2 - c*n**3 wrt n?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226316747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyykykyyyyykyy. Give prob of picking 1 y and 2 k.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0.3, -2\/3, -3, -2\/13 in descending order.\nAnswer: 31, 0.3, -2\/13, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -304*y - 12097. What is o(-39)?\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2355 + -1598. Find the second derivative of 11*t + 35*t**2 + 1512 - 752 - 3*t**4 - g wrt t.\nAnswer: -36*t**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7038, 14159, 21366, 28659?\nAnswer: 36038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 577970535 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1000*t. Let u be y(5). What is u rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4607 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24642, -24645, -24648, -24651, -24654, -24657?\nAnswer: -24660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*j - 8320 = 0, -19*w + 24*w - 41642 = j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from viyyyviviiyvvii?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-4 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**2 - 19406773*t + 60870679 wrt t?\nAnswer: -2*t - 19406773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z - 7*z. Let m = -10 - -7. Put m, -1, z, 3 in descending order.\nAnswer: 3, z, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1 (c) 1\/6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t - 4. Let o be x(7). Let n = o + -217. Suppose -g - g + n = 0. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -810, -1, -18, 4, -2, 5 in descending order.\nAnswer: 5, 4, -1, -2, -18, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (11 + 15 + -12)) + 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3051 and 13701.\nAnswer: 13933917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445 is divided by 329?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/(-165))\/(1\/22*-2). Suppose -3*p - 23*b - 66 = -18*b, 0 = 5*p + q*b + 91. Let o(i) = i**2 + 17*i - 6. Calculate o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:07 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -866352 or -866371?\nAnswer: -866371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 15*g**2 - 15*g + 914. Give r(6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 56 + 207 - 52 - 54 - 13*c**2 as d*c**2 + u + x*c and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3712380 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/110 and 71\/1540.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/3 + 10\/(-30). Differentiate -p + 0*p + 2*p - j*p - 9 with respect to p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 - 354 = -u. Solve -5*f = -3*f + u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(198))\/sqrt(9))\/(sqrt(44)*-1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(500))*-5 - ((0 + sqrt(125))**2 + 4 + sqrt(5)*-2).\nAnswer: -119 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -73, -26, 75, 230, 439?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/3 + a**4\/3 - 5*a**3\/3 + a**2.\nAnswer: a**2*(a - 1)**2*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6183, -12377, -18571, -24765, -30959, -37153?\n\"Answer: -6194*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96451138.1 + -712.\nAnswer: -96451850.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t**2. Let h(y) be the third derivative of y**4\/12 + y**2 + 17*y. What is x(h(m))?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.3, 51, 0.9, -0.01, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)\/b)\/b*b**(-10)\/b*b\/(((b\/b**(2\/33))\/b)\/b)*b\/b**16 assuming b is positive.\nAnswer: b**(-4181\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 2*y)*(-2*y + 2*y + 2*y) + (18 + 6*y - 9*y + 5*y)*(2*y - 3 + 3).\nAnswer: 6*y**2 + 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - ((-5 - -2) + -1 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196923?\nAnswer: 3, 41, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 28*p - 4. Let i be b(8). Calculate the greatest common factor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 287493392 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -14\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7325 + -7335. Let c(a) be the second derivative of -a**4\/12 - a**3 + a**2\/2 + a. Determine c(n).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:06 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 20*c**2 + 68*c + 758. Give b(-24).\nAnswer: 1430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**4 + 3*g - 4. Let v(y) = y - 1. Suppose 3 = -4*c - 1. Let d(t) = c*x(t) + 3*v(t). What is the derivative of d(q) wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/20*72714\/15. Let a = b + -1220. Find the common denominator of 37\/6 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.258027579 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -789994*g**3 - 1506929 wrt g.\nAnswer: -2369982*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*y**2 - 605*y - 368*y**3 + 34*y**2 - 105*y**3 - 49*y wrt y?\nAnswer: -2838*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i. Let o(m) = m**3 - m**2 - m - 68. Let u be o(i). Let k = u - -101. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -48. Let y(h) = 8*h - 2. Let j be y(6). Let i = j - p. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.077 - -139.077. Let w = 139.00201 - m. What is w rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/105 - h**6\/3 + 74*h**5\/15 - 52*h**4\/3 + 74*h**2 + 22. Solve z(k) = 0.\nAnswer: -26, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z + 9. Let h(r) = 6*r - 5. Let c(b) = 7*h(b) + 4*w(b). Let a(o) be the second derivative of o**3\/6 + o. What is 4*a(j) + c(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {t: 3, n: 3, y: 1, h: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 38. Let r = p + -35. Find the second derivative of -19*m**r - 15 - 8 - 20*m + 23 wrt m.\nAnswer: -380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 3*a**4 - a**4 + (15*a**2 - 38*a**2 + 15*a**2)*(a**2 - 4*a**2 + a**2) + (18*a**2 - 6*a**2 - 8*a**2)*(3*a - a**2 - 3*a).\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, i: 4, f: 3}. Give prob of picking 3 i.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = -93 + 525. Calculate the highest common factor of w and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22566 divided by -6?\nAnswer: 3761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 583, 5, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 647\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -97, 2028 in decreasing order.\nAnswer: 2028, -0.4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 16) to base 9.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201112 + 1000?\nAnswer: 202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/2)\/f))\/f**(-1))\/((f**(-2)*f*f)\/f)**(-18\/11) assuming f is positive.\nAnswer: f**(41\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, d: 2, e: 3}. Give prob of sequence ccc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 11*m**2 + 0*m**2 - m**2 + 19*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w + 9. Suppose 0 = -w*l + 2 + 7. Suppose 3*n + l = d + 7, 0 = -5*n + d + 6. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(3*h + h - 2*h) - 118*h + 35 - 28 + 104*h to the form s*h + m and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 25)\/(3\/(-3)). Suppose -i = -3*t - 0*t. Is 2*t\/6 - -13 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11*d = 5*x + 6275, d - 1231 = -11*x. Is 179 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 11) to base 8.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1202?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 1. Put 24, -0.3, u in decreasing order.\nAnswer: 24, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wccw when four letters picked without replacement from {w: 7, e: 6, u: 1, c: 5}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130548647 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.79 + 2.79. Let y = -1 - -1. Which is the nearest to y? (a) -2\/7 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 2, 0, -2, 5, -14, 8 in ascending order.\nAnswer: -99, -14, -2, 0, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1920 or -1921?\nAnswer: -1920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnetmvmmmtmgttmmnme. Give prob of sequence vvt.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9)*(-20)\/(20\/(-4))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -1241*f**6\/60 - f**5\/6 + f**4\/24 + 2*f**3\/3 - 7*f**2. Let b be a(4). What is b rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1193649\/64 + -18652. Calculate the common denominator of 83\/80 and l.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - -2 - (-1 - 29) - 38.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13202 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 1775 = 3*w + q, -4*w = -4*q - 2372. What are the prime factors of w?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -27.808251464?\nAnswer: 33.808251464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3)\/((-9)\/(-2)). Let o = -8.3 + 7.28. Let u = -0.02 - o. Sort u, -0.2, j in increasing order.\nAnswer: -0.2, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250123 times 0.0485?\nAnswer: 12130.9655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12 - (-1527)\/(-18). Let p be -2 - -1 - (156 - 3). Let i = j - p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -33614*i**3 - 4116*i**2 - 168*i - 16\/7 = 0.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 5. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) -2\/7 (c) -1 (d) 3 (e) -20 (f) -0.6 (g) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-69979)\/35 + (-2)\/(-5). Let r be (-3 + y - -3) + -1. Round r to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(115 + -65 - 28)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*c - 87 = -4*q + 153*c, -c + 51 = 2*q. Solve -n - 20 = -4*d, -q = d + 5*n - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2\/23, 5\/3 in increasing order.\nAnswer: -13, 2\/23, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 8*d**3 - 466*d**2 + 6844*d - 1682 = 0.\nAnswer: 1\/4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (138\/(-4))\/((-4)\/24) - 0. Let y be -1 - 0 - 0 - -24. Calculate the greatest common factor of y and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11777*s**2 - 66*s + 125*s - 59*s - 2582*s**2.\nAnswer: -14359*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/87 (b) 0.02 (c) -47 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 13*p + 4. Let a(x) = -2*x**2 + 12*x + 3. Let h(m) = -2*a(m) + 3*l(m). Let z be h(8). Put z, 1, -3 in decreasing order.\nAnswer: 1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.79 + -0.21. What is the closest to 2 in 2\/7, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31f208 - 1?\nAnswer: -31f209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 4*o - 1. Let f be v(-5). Suppose f*n = 7*n - 12. Solve d - 5 = -n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(209328\/126)*(12\/90)\/((-4)\/20).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*y + 1275*y + 445*y - 30873 - 120447 = 0 for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 2. Let m = -93 + 104. Is u(m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617673233.\nAnswer: 29, 31, 71, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:08 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**11\/(g**2*g) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4003*b**6 - 4*b**2 + 1851 wrt b.\nAnswer: -480360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2785 + -2785.3. Suppose 5*r - r = 4. Which is the fourth smallest value? (a) 2 (b) y (c) 5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 196, -4, -5 in decreasing order.\nAnswer: 196, 7, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/14)\/(1*-11))\/(8\/(-4))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 12*k + 20*k - 2056*k**3.\nAnswer: -2056*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148 + 68. Let g = 122 - a. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9920 and 571640.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*i**3 + 472860*h*i**3 + 39*i**3 + 13010*i**2 with respect to h.\nAnswer: 2*h*i**3 + 472860*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 73\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 2. Let d be y(-4). Let q(n) = -2*n + d - 3 - 1. Give q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -27. Let n(i) = -i + 7. Let q be n(o). Let v(b) = -6*b**3 + 3*b**2 - 2*b. Let u(p) = -17*p**3 + 8*p**2 - 6*p. Calculate q*u(r) + 11*v(r).\nAnswer: 2*r**3 + r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46\/3 + -15. Let d = 404\/7 + -367\/14. Let u = -32 + d. Which is the second smallest value? (a) q (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31106 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 3:48 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 402 and 10888304?\nAnswer: 32664912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4228291, -4228293, -4228295, -4228297?\n\"Answer: -2*m - 4228289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from uypwuywuppluuju?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5908651, 5908650, 5908649, 5908648?\nAnswer: 5908647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.015? (a) 0.3 (b) 12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.3. Let c(x) = x**2 - x - 1. Let k be c(3). What is the nearest to -3 in k, z, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1700)*-5 + sqrt(1700))**2 + (-3 + sqrt(1700) + 4)**2 + (1 + 2*(sqrt(1700) + (-1 + sqrt(1700))*6))**2.\nAnswer: -3060*sqrt(17) + 948722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 42 = 3*z - 6, -15 = 5*o. Let u(i) = -z*i + 22*i - 23 + 69*i**2 - 10*i - 66*i**2. Let x(n) = n. Give u(x(f)).\nAnswer: 3*f**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 - 2275\/11. Let o = -0.28462 + -0.01538. Which is the second smallest value? (a) 4 (b) o (c) l (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 51*g + 227*g - 4050 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 173 - 169.96. Let l = p - 0.04. Which is the biggest value? (a) -0.2 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-2\/15)*x*x))\/x)**(-27)\/(x*x**(6\/5)*x*x**15) assuming x is positive.\nAnswer: x**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 553783*0.12\nAnswer: 66453.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + -5 + (1 + sqrt(1573))*1 + 5))**2.\nAnswer: -1584*sqrt(13) + 56772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/37170 and -157\/13864410.\nAnswer: 13864410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02917934 rounded to five dps?\nAnswer: 0.02918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + g + 94 = 0, -71 - 77 = 3*m + 5*g. Let w be (-6)\/8 - m\/8. Solve 0 + 3 = -3*f, -w*u - 5*f = 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1279, 2125, 2955, 3763, 4543, 5289?\n\"Answer: -s**3 - 2*s**2 + 859*s + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 3.468?\nAnswer: -3.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4914704*f = 4914478*f + 17628 for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 5*q + 6. Let j be a(-6). Let k be (j + -6)*(-4)\/6. Let u be k\/16 - (-1520001)\/(-4). What is u rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/222096 and 15\/476.\nAnswer: 3775632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15)*5\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzqqrrqzczq. Give prob of picking 2 q and 2 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (-62 - -64)) + 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/((-5)\/50). Let j(o) = -i*o**2 + o + 0*o**2 + 4*o + 8 + 4*o**2. Determine j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 5:15 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1.1. Let z = 0.37 - 0.07. Let m = z - 0.5. Which is the biggest value? (a) -1 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -354.\nAnswer: -1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1093*h**4 - 151*h**3 + 1568852*h**2?\nAnswer: 26232*h - 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -610 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.061.\nAnswer: 0.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*n + 42. Let o(q) = -53*q**2 + 5*q - n*q + 32*q**2. Let p(x) = x. What is p(o(i))?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + k + 77 = 0, -4*d = 4*k + 175032 - 175104 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x\/((x\/x**(-1\/5))\/x))))\/x**(1\/3))\/(x**(-2\/3))**(-3\/2)*(x\/(x\/(x**(-5)*x*x*x*x)))\/x**(-6\/7)*x\/((x\/(x\/x**2))\/x)*x**(2\/3) assuming x is positive.\nAnswer: x**(104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/5400)\/(136\/(-11900)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 0.16, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.74121 decades to months.\nAnswer: 3448.9452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7424368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75742 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 706*p - 13117. Calculate l(18).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-1035)\/(-69))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -35*h - 10. Let y(w) = 10*w**2 + 7*w + 9. Let o be y(h). Let m = 284 + o. What is the highest common divisor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.2 - -119. Let o = v + -63. What is the second biggest value in 1\/5, o, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 0.1?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100245905423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 90186825 divided by -9993\nAnswer: -9025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7*1029\/441.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2947\/1684)\/(70\/32)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1128.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4195.\nAnswer: 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/18 and -50\/2523.\nAnswer: 15138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)*q)\/(q**33\/q) assuming q is positive.\nAnswer: q**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40490558.\nAnswer: 2, 19, 557, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**4*s + 193*l**3*s + 104*l*s - 3*l + 2*s - 7 wrt l.\nAnswer: 36*l**2*s + 1158*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (315\/2970*-9)\/((-6)\/(-4))\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -211*l - 3. Let s(f) = 2*f. Calculate s(a(g)).\nAnswer: -422*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/20 - 7*v**4\/12 + v**3\/6 + 9*v**2\/2 + 2*v. Let f be g(7). Let i = f + 1. What is the highest common factor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -221 + 23. Let u(m) = -2*m**3 + 21*m**2 + 26*m + 10. What is the hundreds digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10193280, 10193262, 10193244, 10193226, 10193208, 10193190?\nAnswer: 10193172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13025 or -21\/295?\nAnswer: -21\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11644985?\nAnswer: 5, 11, 211727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 80511*d**4 - 540128169*d**3 - 540208683*d**2.\nAnswer: -3*d**2*(d - 13419)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/51 + 0 + (-74)\/111.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 100. Let i(q) = -q**3 + q + 1. Let s(n) = -3*n**3 - 5*n**2 + 5*n - 4. Let y(d) = v*i(d) + s(d). Calculate y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 - -195. Let k(l) = -4*l - 16. Let s be k(-4). Solve s + 6 = y*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 39, 0.51, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yycc when four letters picked without replacement from ycyyyyyycyccc?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 - -271. Let n = s + -76. Let y(t) = -t**2 - 106*t + 126. Let i be y(-107). Calculate the highest common divisor of n and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*k = -51*k - 24*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4207 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-4) - 1\/4. Let l(t) = 5*t - 9. Let v(z) = -2*z + 5. Let c(p) = 3*l(p) + 5*v(p). What are the prime factors of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.9 + 20.9. Let z = -154 + 158.92. Let h = z - -0.08. What is the second smallest value in l, -4, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 16 + 28 - 398*h - 2 + h + 2 + (-3*h + 0*h + h)*(1 + 1 + 0).\nAnswer: -401*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**2 + 203*b - 1607. What is g(19)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 937950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*n**4 - 30*n**2*s**2 - 3*s**2 + s - 333 wrt n?\nAnswer: 72*n**3 - 60*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 + 1758. Suppose -7*b - 8*b = -14*b - 15. What is the greatest common factor of b and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 3*v + 5. Let a be w(1). Let x(t) = -2*t - 7. Let y be x(-5). Solve a*j + 15 = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738749243 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 11*w + 2*w + 13*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v = 45*v + 86. Let m = v - -83. Let y be 18\/(-261)*(-5 - m). Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3197043 is divided by 127880?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 2*k**2 - 4*k + 2. Determine o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 - 8456*j**2 + 8444*j + 16904 = 0.\nAnswer: -1, 2, 2113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 82.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5, -3, 3, -9, -260.\nAnswer: -260, -9, -3, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**11\/n*n*n*n*n\/(n\/(n**(-3\/10)*n))*n*(n\/n**3)**(-42) assuming n is positive.\nAnswer: n**(987\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and -1688.27?\nAnswer: -2532.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6 - (-85)\/(-6). Let m be (-10)\/c + 6\/21. What is the units digit of (-6)\/12*-34*m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1444*-70944.\nAnswer: 10244.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 29 = -3*i - p, 37 = 2*i + 5*p. Suppose 4*s - i - 2 = 0. Solve -4*u = t + 4*t - 33, s*u - 14 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 116. What is y(-45)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 6. Let k(u) = 5*u + 7. Let p(c) = -c**2 + 6*c - 7. Let i be p(6). Give i*s(l) - 6*k(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9037 rounded to the nearest 100?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27606 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -9 (b) -1 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-51))\/((-20)\/(-60)))\/((-3)\/(-3))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q. Let p be i(-1). What is the smallest common multiple of 6 and (p\/14)\/(5\/35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 35*w**3\/2 + w**2 + 1405*w. Let y(v) = -v**2. Give l(y(s)).\nAnswer: -105*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -167\/3?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, e: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/45968985 and 13\/1665.\nAnswer: 45968985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 567640235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(0 + sqrt(1728) + (sqrt(144)*-1)\/sqrt(3))*-1)**2 + 5.\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*t = -28 - 1, 0 = -2*h - t - 14. Let w = 11 + h. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 7. Suppose -3*y = 3*w + 2*w, y - 2*w = -11. Give q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 0.3134 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.029 (b) -2\/1359 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2. Let r(i) = 735*i. Determine d(r(h)).\nAnswer: -540225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mccm when four letters picked without replacement from cmcmmmmccmcmmcmmcmm?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124743 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*v - 3*d, 8*v - 3 - 83 = 2*d for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from lllliljij.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006234622 to seven dps.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - 4?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 8*l - 7. Let z = 20 + -26. Let t be h(z). Suppose -t*a = y + 14, -5*a + 0*a + 3*y = 18. Sort -0.5, a, 0.5.\nAnswer: a, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 13*g**2 - 13*g - 14. Let c be w(14). Sort -2, c, 4, 1 in increasing order.\nAnswer: -2, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - 35 = 21*b - 5*u, 1 = 3*b - 2*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15757 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 7. Let d be f(-6). Let y be d + -3 - (2 + -3). Let w = -3 + 2. Which is the nearest to w? (a) y (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4797, -6, 5, -7\/6 in ascending order.\nAnswer: -4797, -6, -7\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 560\/98 - (-2)\/7. Let v(w) = 4*w**2 - w + 3. Let c(d) = -9*d**2 + d - 6. Let z(r) = j*c(r) + 14*v(r). What is h in z(h) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.6 and -0.8307951.\nAnswer: -3.4307951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -129. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1964 and 4354679?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31\/(-62)*2*12\/(-22). Which is the nearest to 2\/13? (a) f (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796052.315 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, -1473, 8 in descending order.\nAnswer: 8, -2, -17, -1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9454\/775 - -284\/25. What is the common denominator of p and -54\/7?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6*3\/(-2). Suppose -10*d + 60 = f*d. Is -3 - (-8933 + 3)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1020732 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257918233 to the nearest integer?\nAnswer: 16060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*8*3\/(-126). Which is smaller: r or 122?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 12) in base 15?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -24. Let o(m) = 5*m**2 + 6*m. Let f(k) = -6*k**2 - 7*k. Give g*f(b) + 4*o(b).\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1200*-22045.\nAnswer: 26454000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 + d + 1. Calculate j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 24 - -5 - (-15 + 10 - 3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c16005 + 3?\nAnswer: -1c16002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 183*g**3 - 2*g**2 - g. Is 13 a factor of i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110 and -1329477?\nAnswer: 146242470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -3. Let o = 34.1 - p. Which is the closest to o? (a) 0.4 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586134 (base 10) in base 16?\nAnswer: -8f196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*q - 4*f, -2*q + 4*f + 55 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 60 = 9*x. Suppose 0 = 5*w - 2*w - 219. Calculate the remainder when w is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97 - 2181?\nAnswer: -2268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399 - -413. Let w = 7 + -11. Sort w, u, 1.\nAnswer: w, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -133 (b) 126 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8 - 21 + 184*m - 182*m. Let a be x(4). Let r be 15*((-6)\/a - 4\/5). Solve -r*u + 7*u = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 19. Suppose 2*c + 5*j = 40, 5*c - 6*c - j + 20 = 0. What is the smallest common multiple of x and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80764, 80755, 80746, 80737, 80728, 80719?\n\"Answer: -9*t + 80773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 = 57. Let d = 17 + m. What are the prime factors of d + -2 + -2 + 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 28.9. Let n = 19.5 + b. Let s = n + 8. What is the third smallest value in s, -1, -0.8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -10. Let i = b + -5. Let s(k) = -2*k**3 - k**2 - 4*k - 3. Calculate the remainder when i is divided by s(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 3}. Give prob of sequence vvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3289 (base 11) to base 8\nAnswer: 10354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.088 or 208746?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, -82, -123, -164, -205, -246?\n\"Answer: -41*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 0. Let p = 3.1 + w. Let f be 2\/3 - -1 - 2. Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/66927 and -5\/105171.\nAnswer: 736197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 11300886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 471.0418 hours?\nAnswer: 28262.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98 - 104 - (-2 + 7) - -62\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -415, -851, -1287?\n\"Answer: -436*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29431108.\nAnswer: 2, 7, 151, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004124671 rounded to five dps?\nAnswer: 0.00412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 273500?\nAnswer: 273507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 - -301. Let a = 117.99772 - y. Round a to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31591 is divided by 3847.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = 4*f, -5*p + 2*f + 7 = -3. Solve 7*h - 13 + 20 = p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 10*p - 2*p - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 737371\/4 - 187449. Which is greater: -3105 or x?\nAnswer: -3105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 1868*o = -1873*o - 78 + 95, 2*g + o + 23 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 112\/117, 1\/2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x + 3. Give r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205.5 + 14.5. Let u = f + 191.091. What is u rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3433, 6767, 10103, 13441, 16781?\n\"Answer: w**2 + 3331*w + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/((o*o**14)\/o)))\/o**41)\/((o\/(o**14*o))\/o**29) assuming o is positive.\nAnswer: o**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -9.2?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/12 + t**2\/2 - 10*t + 6. Let r(x) be the first derivative of j(x). Suppose r(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a8 (base 11) to base 10.\nAnswer: -965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 5) + 1450050546\/105 - (-2)\/(-10). What is h rounded to the nearest 100000?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 110, -0.3, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2090*w = -41251 - 4729 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 734 and 98562988?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/6 (b) 1 (c) 8 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/2 - (-7)\/14. Let a(i) = 3 - n*i + 4 - 6. Calculate the least common multiple of 8 and a(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -266 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 21. Let p be o(-10). Let v(l) = -11*l**3 - l + 1. Let x be v(p). Let u(t) = t**3 + 12*t**2 + 12*t + 12. What is the units digit of u(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11878 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: Factor -2*g**2\/3 - 4735942*g\/3 + 1578648.\nAnswer: -2*(g - 1)*(g + 2367972)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((4 - 9) + 3). Solve c*o + 0 = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 - 159. Let s = 288 + a. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - 6. Let i = b + 97. Calculate the remainder when 44 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33, 56, 79, 102, 125, 148?\n\"Answer: 23*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*l - 639 = 0, -3*l = 2*m - 388 + 85. Let f = 253 - m. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.5 and 682615.\nAnswer: -14676222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94864 by 98.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + 3 - 1 - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 6, -76, 1 in decreasing order.\nAnswer: 6, 1, 0, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Solve x*v - 2*v - 5 = 5*r, 3*r = 2*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j*m*n - 3*j*m - j*n + 3*m + 84*n wrt j.\nAnswer: 7*m*n - 3*m - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and 0.78.\nAnswer: -31.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3704827*r - 25090872?\nAnswer: -3704827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*q - 14225 = 17527 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/60 - o**4\/8 + o**3\/3 - 2*o**2. Let j(m) be the first derivative of u(m). Differentiate j(h) with respect to h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccaacaacctcccct. What is prob of picking 1 c and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/20)\/((-12)\/(-40)). What is the second derivative of -119*w**2 + 97*w**2 - 304*w - 185*w**i - 106*w**2 wrt w?\nAnswer: -626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v - 4, 8 = 5*r - 3*v. Let c(y) = 1. Let i(j) = -j**2 + 7*j - 5. Let o(n) = r*i(n) - c(n). Give o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q - 7. Suppose -o + i + 2 = 4*i, 3*i = -4*o + 8. Suppose o*j = 4 + 10. What is the remainder when f(j) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 12. Let z be 8*(-2)\/(-4) - 9. What is the tens digit of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*f - 19*f - 16*f + 5 + 45*f to j + m*f and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/120 - j**5\/60 + j**3\/3 + j**2. Let h be c(0). Suppose -2 = -2*i + 2*d, i - d = -h*i + 9. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yex when three letters picked without replacement from {x: 3, y: 2, e: 2, m: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 7814, 12.7 in ascending order.\nAnswer: -21, 12.7, 7814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 50*z**5\/3 + 1565*z**4\/3 + 3353*z**3\/3 + 494*z**2\/3 - 820*z\/3 - 232\/3 = 0.\nAnswer: -29, -2, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23, -6.4, 1\/2, -2\/11, -3\/8?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v - 29. Let l be (-1)\/(-4)*(6 - (-12 + 6)). Suppose 5*p = 2*m - 2, 0*p - 2*m = l*p - 2. Give f(p).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46354, 92743, 139132?\nAnswer: 185521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11091*u - 66651. Give n(6).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.248 - 1.248. Let x = -0.09 - 3.91. Sort -1\/6, x, -0.5, z in increasing order.\nAnswer: x, z, -0.5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4\/11)*n)\/n)\/(n\/n**(-21)) assuming n is positive.\nAnswer: n**(-235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*n + 2*r, 66 = 3*n - 2*r - 61. Suppose n = 9*t - 4*t - i, -i = -2*t + 17. Solve 4*w - 4 = t*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 448 + -438. Solve -2*i - t = -4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 9010, 0.5, 127.1 in ascending order.\nAnswer: -4\/5, 0.5, 127.1, 9010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)\/v)\/v)**(1\/20) assuming v is positive.\nAnswer: v**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 14 = 2*d. Suppose 4*i - 27 - d = 0. Calculate the least common multiple of i and (760\/608)\/(2\/8) + 16 + 0.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/14826570 and -13\/44479710?\nAnswer: 44479710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779 + 955 + 6526 = 295*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4146?\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Let q be 2\/3*42\/(-4). Let z(p) = 4*p - 7. Let u(t) = -5*t - 4 + 8*t - 1. What is c*z(j) + q*u(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*z)*(-3*z + z + 4*z) + 5*z**2 - 9*z**2 - 23*z**2 - 5*z**2 - 3*z - z - 6*z**2 + 4*z.\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4177606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8381, 8383, 8385, 8387, 8389, 8391?\nAnswer: 8393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045248 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 861*l**2 + 8613*l + 30 = 0.\nAnswer: -10, -1\/287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 6\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29790 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a factor of 38466433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 800, 785, 766, 743, 716?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/6*(-99)\/(-44). Suppose -d = -m*d + 100. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 15, -8, -49, -114, -209, -340?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 5:58 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 4939*l**6\/30 + 118*l**3\/3 - l**2\/2 + 53*l - 20. Find the second derivative of p(s) wrt s.\nAnswer: 59268*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3259, -3399, -3539, -3679, -3819, -3959?\nAnswer: -4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 596336*l**2 - 95490560*l - 3820646400.\nAnswer: 4*(l - 149244)*(l + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*w + 20, 5*w - 16 - 9 = -2*h. Suppose m - 19 = 5*o, -3*o = h*m - 5*o - 72. Solve -2*y + m = -6*n + n, -2*y = 2*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/19)*h)**33*(h\/(h**(-2\/5)\/h))\/((h*h*h**19)\/h))**(-1\/2) assuming h is positive.\nAnswer: h**(-1133\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 43, -3, 146, 0.1, -497?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jog when three letters picked without replacement from gccomijggmci.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {m: 3, c: 5, e: 1, o: 4}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**5 - 156167*f**4 + 53173510*f**2 wrt f?\nAnswer: 720*f**2 - 3748008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72572 at most as big as 943452\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sac when three letters picked without replacement from {g: 14, s: 2, c: 2, a: 1}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 + 2*j**2 - j**2)*(49*j**2 - 62*j**2 - 34*j**2) in the form h*j**4 + n + g*j**3 + w*j + x*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c - 20 = 0, 0 = w + c + 5. Let j be 361\/45 + (-4)\/18. Let z = j - 673\/85. Is w greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7018 + 0 - (-6)\/7*(-2912)\/(-624).\nAnswer: 2, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.2 (c) -1.37 (d) 5252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 4*l**5 + 2*l**5 + (l**4 - 2*l**4 - 5*l**4)*(l + 3*l - l + (-1 + l + 1)*(-1 + 0 + 0)).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s. Suppose 0 = -s*a - 4*a. Suppose 5*r + 5*u - 35 = a, 2*r - 4*u - 2 = -0*r. Solve r*v = -6 - 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151198686*s**2 + 45012378*s?\nAnswer: -302397372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3141*a*q**2 + 361662*a + 4*q**2 wrt q.\nAnswer: -6282*a*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 3, e: 1, t: 5, s: 5, l: 5}. Give prob of picking 1 k and 2 s.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183284 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697791 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 + 192. Calculate the highest common factor of w and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1360 and 19189320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/(-160)*10\/40.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - h**2 - 3*h + (3 - 3 - 16*h)*(h - h - 2*h) - 46*h**2 - 48 + 48.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-5)*-1*1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10402242\/166170 - (57 - 1)?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((35\/7)\/15)\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 125. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 22*l - 1109 + 1001 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 20. Suppose -3*m = -9 + 3. Let j be (-1)\/(1 + 1)*0. Sort o, j, m.\nAnswer: j, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 13 = -5. Let v be (p + -4)*(0 - 1). Let t = v + -3. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 7*x**4\/24 - x**3\/6 + 5*x**2. Suppose -7 = -2*i - 3. Suppose 1 + 1 = -2*y - 5*r, 2*y + i = r. What is a(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -494 + 499. Suppose 2*y - q*o = -8*o + 23, 5*o - 13 = 3*y. Let c(d) = -3*d + 17. Let p(z) = z - 6. Calculate y*c(w) + 11*p(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1, -42 = -2*t - 4*n - 4. Suppose 0 = -3*r + 3*x, -3*r - x - 3*x + t = 0. Suppose 0 = -2*m - 2*m + r*c + 2891, -2*m = -c - 1443. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 4*g**2 - 11*g**2 - 7)*(-7 + 7 + 6 + 3*g).\nAnswer: -12*g**3 - 24*g**2 - 21*g - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 63093*y - 63093*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/14, -5, -2\/3, -3\/16, 0.67, 13?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26\/255015 or -1?\nAnswer: 26\/255015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 7)*(0 - 1). Suppose 128 = -0*l + 5*l + 4*g, 0 = -g + h. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q - 5*q. Let x = -1 - q. Do 1 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/2, 0.011, -2, 3?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {n: 4, b: 4, e: 4, z: 6}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1748 - 1740. Solve 3*o + 8 = d, 4*o = l*o - d + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761.8601 days to milliseconds.\nAnswer: 65824712640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 2*t + 40*t**3 - 76 + 76 - 41*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 10 - 9*a)*(-37*a + 104*a + 53*a).\nAnswer: -1080*a**2 + 120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 12. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/8)\/(-1))\/((30\/28)\/5)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bc3e08 - 2?\nAnswer: bc3e06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = d - 64 + 60, -4*z = d - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 42 = -10*r. Let m = r + 203. What are the prime factors of m?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 125*v**3 + 95*v**2 + 585*v + 360.\nAnswer: 5*(v - 24)*(v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - 175?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let z(f) = -2*f**2 + 7*f + 3. Let s(d) = -a(d) - z(d). Let o be s(8). Solve 4*m + 0*m + 4*j + 4 = 0, m + 3*j = -o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**5\/240 + h**4\/48 - 7*h**2\/2 + 19. Let b(z) be the second derivative of v(z). Let b(w) = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/7, 1\/12, -1584, -4, 3 in decreasing order.\nAnswer: 3, 1\/12, -1\/7, -1\/4, -4, -1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + s**2 - 2*s**2 + (27*s - 20*s + 3*s)*(0*s + s - 2*s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 46. Solve d - 4*l - 16 = r, 4*d - 2*l = -0*d + 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (-92)\/23.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(11)*-2 + sqrt(11) - sqrt(11)) + sqrt(11))*-4 - (-4*-2*sqrt(11) - ((sqrt(44) + sqrt(44)*2)\/sqrt(4) + sqrt(11))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/560 or -63051?\nAnswer: -63051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146398 is divided by 200.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -316.7, -5.3, 0 in descending order.\nAnswer: 4, 0, -5.3, -316.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9234 and 8?\nAnswer: 36936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 42. Calculate the smallest common multiple of 12 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/80 and 47\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20402*o**3 + 28255 with respect to o.\nAnswer: 61206*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 > 2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -0*f, 2*o - 10 = 2*f. Let i = -1.7 + 1.3. Which is the third biggest value? (a) i (b) o (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3218 - 1162. What are the prime factors of k?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*r - 4 = 0, -22*v + 17*v - 141 = -58*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n + 200. Let r be ((-32)\/n)\/(4\/(-30)). What is the units digit of (-39)\/r + 2\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g)\/(g\/(g**(4\/9)*g))*g**8\/g*g*g*(g*g\/(g**(-1\/3)\/g))\/g assuming g is positive.\nAnswer: g**(185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3 - 6. Suppose 2*i - 48 = -0*i. What is the remainder when i is divided by 15\/1 - (1 + b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768208 + 4352061 - 1096286 = 43*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.96 + 0.6. Let l = c - -0.62. Let p = l - 2.180119. What is p rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/120 - 3*y**3\/2 - 11*y**2. Let m(j) be the first derivative of z(j). Calculate m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s + 2*s + 2 - 7. Let g(b) = -b**2 + 4*b - 5. Let i be g(4). Let u be q(i). Sort -3, u, -2 in ascending order.\nAnswer: -3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17 - -18)*(-1)\/(-3). What is the closest to -2\/3 in 1\/8, n, 2\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + m - 5, 5*b = 2*b + 5*m + 21. Suppose -y + 3*y - 210 = -2*p, -2*p + b*y = -230. Calculate the highest common divisor of p and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 2:25 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13820*l - 6941*l - 6912*l.\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:23 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109296 = -1661*b + 419*b for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = 27. Let z be (y\/4)\/(3\/(-12)). Let f(o) = -o**2 - 11*o - 8. What is the units digit of f(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2515, 2487, 2471, 2473, 2499, 2555, 2647?\n\"Answer: y**3 - 35*y + 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -85*v**2. Let q(w) = -232 + 478 - 246 + 4*w**2. Determine x(q(z)).\nAnswer: -1360*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014485 to seven dps.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 64*h**2 + 20*h + 3. Let k(i) = -i**2 - 4*i - 1. Let y(o) = -5*k(o) - p(o). Let g(d) = 2*d**2. Determine y(g(z)).\nAnswer: -236*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7941634?\nAnswer: 2, 71, 55927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**9*x)\/(x*x**(-2\/19)*x) assuming x is positive.\nAnswer: x**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)*(-9)\/(-18) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009448 rounded to six dps?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:22 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/4588 and -133\/18877326.\nAnswer: 37754652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.166445 weeks in nanoseconds?\nAnswer: 3729465936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -805 - -804.511. Let u = t + 0.49. Round u to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/3*(-1 + -2). Let s be (2\/4)\/((-2)\/w). Let h(d) = -d**2 - 5*d - 3. Let o be h(s). Calculate the greatest common divisor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -164*y - 1. Let g be z(-1). Suppose 0 + 3 = -o, -3*f + 2*o - 315 = 0. Let i = g + f. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 + 136464*r - 68234*r - 8*r**3 - 68230*r - 50*r**3.\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 78, 38, -38, -162?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 219*k - 5270. What is t(48)?\nAnswer: 2938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Let w = h - -1. Let i(q) be the second derivative of -5*q**3\/6 + q**2\/2 - 6*q - 15. Let y(t) = -6*t + 2. What is w*i(o) - 3*y(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442652 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10603*h**2 + 48*h - 4. Let s(o) = -31808*o**2 - 128*o + 10. Calculate -8*l(j) - 3*s(j).\nAnswer: 10600*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 5 = 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 206*i - 1615. Calculate o(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + sqrt(77)*1 - sqrt(77))*-6)\/sqrt(7).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 26*c**2 + 72*c - 67. Determine y(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275 - 3\/(-12)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91121160 by -12.\nAnswer: 7593430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4713 + 37849. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489823, 979639, 1469455?\nAnswer: 1959271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 4*u**2 + 3*u + 2. Let i be k(3). Let m(n) = 2*n + 3 - 2*n + 2*n - 4*n**2 - n**3 + n**i. What is the units digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 88\/220 - ((-12)\/(-10))\/2. Let x = 47 + -87. Which is the second smallest value? (a) o (b) -5\/2 (c) x (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/150 and 169\/42.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2 + 3*p + 2*p - 1. List the prime factors of q(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4281 + 7327. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3*u**2 + 15*l**3*u - 130*l**3 - 7*l**2*u**2 + 2*l**2*u - 1080 wrt l.\nAnswer: 18*u**2 + 90*u - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49161916 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k. Let r = -3 + -3. Let y = r + 7. Sort y, -4, k in decreasing order.\nAnswer: y, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2455.59868 - -0.19868. Round t to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*d**4 - 9*d**3 - 2278*d**2 wrt d?\nAnswer: -2664*d - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = 5*a - 6*o - 40, -32 = -5*a - 3*o. Let n(m) = -m**2 + m + 17. Let v be n(a). Solve 3*p + 2*s + 5 + v = 0, 2*p + s = -5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4068.36058 rounded to 0 decimal places?\nAnswer: -4068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + p - p**2 + 0*p + 2*p**2)*(-505 + 505 - 210*p**2).\nAnswer: 210*p**5 - 210*p**4 - 210*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 17*v**2 + 17*v - 18. Determine a(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 10:18 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15510.704 and -0.3.\nAnswer: -4653.2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, 0, 16.\nAnswer: -4, -3, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 86, 124, 176?\n\"Answer: 7*a**2 + 3*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 16 = -2*k, -5*k + 86*z + 167 + 541 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -463572.52057 - -0.62?\nAnswer: -463571.90057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2 + 3. Let s = -71 + 77. Let g(o) = o**2 - 1. Give s*g(p) + 2*d(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287*n**5 - 4*n**3 + 32*n**2 + 4*n**3 - 318*n**5 wrt n?\nAnswer: -1860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = 815. Let x = v - 167. Let b = 1721\/6 - 286. Sort 5\/4, x, b in increasing order.\nAnswer: x, b, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63\/5, -2, -0.2, 1\/4, -7, 5.\nAnswer: -63\/5, -7, -2, -0.2, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 1. Determine n(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2005668 divided by -6\nAnswer: -334278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/8, 5, 0.4, 14001?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*n + 14*n = 58*n - 9184 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089859.\nAnswer: 19, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r + 24. Let m = r + 70\/3. Let t = -4 - 0. Which is the third smallest value? (a) m (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) -11 (b) 5 (c) 3 (d) -660 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**3 - 3*s + 6. Let a(b) = b**3 - b + 1. Calculate -6*a(q) + p(q).\nAnswer: 2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*d - 15 = 0, -4*f + 9 = -4*d - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 15 - 2*g - 1\/12*g**4 + 0*g**3 + 0*g**2. Let b(u) = 151*u**2. Determine b(f(l)).\nAnswer: 151*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a**3\/11 + 2*a**2\/11 - 118. Factor s(t).\nAnswer: -2*t*(3*t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206416488 and 888.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/5? (a) 2 (b) 1\/378 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27\/36*2\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (439725\/(-82))\/75*(-12)\/39?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/222176 and -47\/888704?\nAnswer: 888704","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 14493 + -14490. Let o = 6 - 4. What is the nearest to o in m, 0.01, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubub. Give prob of picking 2 b and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/6*2\/(0 + -2) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -563248.\nAnswer: -5\/80464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - -3) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 x when four letters picked without replacement from wwwwwwxxwwwww.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57150 or 514351\/9?\nAnswer: 514351\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -3, -5, -52 in descending order.\nAnswer: 1, -2, -3, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/7 - 93*h**4\/7 - 783*h**3\/7 - 2295*h**2\/7 - 324*h = 0.\nAnswer: -84, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 9*k - 12. Calculate r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108566451 or 108566446?\nAnswer: 108566451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-2)\/(x*x**(-1)*x)**(-7\/4)*(x\/x**(2\/5))**(-38)\/(x**(2\/5)\/(x**(-2\/23)\/x)) assuming x is positive.\nAnswer: x**(-9447\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 6:59 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 13, 0.122, -0.5, 0?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1375 = u + g, u + 2*u - 3*g = 4143. Let k = u + -233. List the prime factors of k.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 437385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 76, 83, 92, 103, 116, 131?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -3*i + 4, 14 = -28*m + 27*m + 2*i. Sort m, -91, 11.\nAnswer: -91, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2017 and 0.4.\nAnswer: -806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25727939?\nAnswer: 523, 49193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9017 (base 11) in base 4?\nAnswer: -2323131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*z + 5*y + 70, 5*y + 57 = z. Suppose b + 4*i = -0*b + 38, -5*b + 100 = 2*i. Calculate the highest common divisor of b and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -824291\/24 + 34351. Find the common denominator of -77\/54 and b.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3*y + 3*y)*(5 - 5 - 2*y) - 1006*y**2 + 265*y**3 + 1006*y**2.\nAnswer: 269*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26149*j**6 - 3*j**2 - 9*j - 88.\nAnswer: -3137880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b + 2*b**2)*(b - 4*b + b) - 256*b**3 + 237*b**3 - 5520*b**3 in the form n*b**2 + v + u*b**3 + i*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*t + 786, -153 = t + 4*m - 2*m. Calculate the remainder when 153 is divided by -4 - (-120)\/35 - t\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*u + 373, 157 = 3*u - 3*n - 122. Let g = u - 371\/4. Which is the nearest to -1? (a) 3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((423\/18)\/(-2 + 4))\/((-3)\/(-12)). Calculate the greatest common factor of 1457 and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/9 + 1152\/81. What is the second derivative of 3*q**5 + 12*q**4 - 2*q**2 + 33*q - 26*q**4 + p*q**4 wrt q?\nAnswer: 60*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3233 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1. Let i(u) = 2*u - 8. Let g(t) = 8*c(t) - i(t). Let b(l) = 172*l**2 - 85*l**2 - 77*l**2. What is g(b(j))?\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(3*i - i - 4*i)*(3 + 12 - 1).\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (747\/(-1245))\/((-4)\/10*(108\/30)\/(-6))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 2, -2, -11 in increasing order.\nAnswer: -11, -2, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 120*q + 17054. Give g(-58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2040871500 to the nearest 1000000.\nAnswer: 2041000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, 2\/7, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 12, -4*x + 5*h + 97 = -3*x. Let v = -36947\/320 + 247\/64. Let u = x + v. Sort -4, u, 0.3.\nAnswer: -4, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*h + 3*f + 4980 = 0, f + 4*f + 44 + 30 = h for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 less than or equal to 15.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z**3 - z. Let f(m) = -5*m**3 + 4*m**2 - m - 2. Suppose -4*k - 14 = q, 5*q + 3*k + 30 = 11. What is the remainder when f(q) is divided by t(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/20 and -41\/75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1350\/(-36)*1376\/(-3). Round n to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, -0.1, 5, -2, -308?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 20*w - 9. Let u = -149 - -144. Let h(t) = -10*t + 5. Determine u*h(l) - 3*p(l).\nAnswer: -10*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 + -1)\/(-4))\/(2\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142.79527 + -8.19153. Let b = s - -151. What is b rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -1\/6, -23, 1\/4, -23\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k. Let c(f) = -4*f - 25. Let d = -35 + 25. Let q be c(d). Solve k = j + 2*j - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1226*i**3*s**3 + 3*i**2 + 13*i*s**3 wrt i?\nAnswer: -7356*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -9*l**4\/4 - l**2\/2 + 26*l. Find the first derivative of y(h) wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 120015476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 97 + (-9 - -5) - (44 - 36).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1001 and 30121?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + (-11 - -8) - -48) + -12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23031402, 46062807, 69094214, 92125623, 115157034, 138188447?\n\"Answer: i**2 + 23031402*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2*2)\/(sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2))*-6))\/((sqrt(1152) - -2*sqrt(1152)*2) + sqrt(1152) - -2*(2*sqrt(1152) - sqrt(1152))).\nAnswer: sqrt(3)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 53*w**2 - 44*w + 464. Give a(-52).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - z + 19. Determine a(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 22*u**3 + u**2 - u. Let h be q(1). Let w be (6 - 2) + -2 + 3. Suppose w*x + h = 117. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 439528300 to the nearest one million.\nAnswer: 440000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 5\/18, -2, 5.\nAnswer: -4, -2, 0.2, 5\/18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8513378 years to decades.\nAnswer: 0.08513378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(17)*2*2)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j - 5. Let g(i) = -6*i + 3. Let v(q) = 5*g(q) + 3*p(q). Let x(u) be the first derivative of u**2\/2 - 22. Calculate v(x(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 220*j**2 + 1694*j - 382. Determine n(-212).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 3\/4 in decreasing order.\nAnswer: 9, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 19*t**2 + 25*t - 41. Let a(r) = -3*r**3 - 39*r**2 + 51*r - 82. Let j(h) = 2*a(h) - 5*c(h). What are the prime factors of j(14)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, 2, 15 in decreasing order.\nAnswer: 15, 2, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, c: 2}. Give prob of picking 1 c and 1 n.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c + 1. Let o be p(1). Let q = o - 1. Suppose 1 = 2*s - 3*d - 21, q = -3*s + 2*d + 28. Solve s = z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36315 divided by 12105.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:12 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 207, 409, 611, 813, 1015?\n\"Answer: 202*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 5:05 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -1*85\/34*2?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:07 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 - 91*r - 225. Give t(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w*w**19)\/w)\/w)\/w**(-1\/10)*((w\/(w\/w**(-2\/3))*w)\/w)**(8\/9) assuming w is positive.\nAnswer: w**(5267\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 17*g = 55. Suppose 0 = 3*p - 9, -534 = -g*j + 2*j + 2*p. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebeeqbbllbverbllb. Give prob of sequence qbe.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 + 3*p. Let z(s) = -16*s**2 + 6*s. Determine 9*u(n) - 4*z(n).\nAnswer: -8*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1422 and 632.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 16 = 3*b - 19, -3*i + 3*b = -3. Let o(h) = 4*h - 2*h**2 + 2*h**2 + 2*h**2. Determine o(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-153))\/((-2)\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76a + 0?\nAnswer: -76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 201?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -371*w - 217 + 117 + 96 to q + k*w and give k.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1, 0.5, 385?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*p + 2638*p - 1319*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*g - 8, -2*g = a - 0*a - 6. Suppose 0 = -3*r - a*r + 100. Let i = 43\/2 - r. Which is smaller: 0.1 or i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - 10*q + 10. Let x(a) = -a**2 + a - 1. Suppose 4*y - 94 = 198. Let f = y + -65. Give f*x(v) + z(v).\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25638, -25763, -25892, -26025?\nAnswer: -26162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*x = 11, 20 = 6*b - 2*b + 4*x. Let v(g) = 8*g + 8. Let s(m) = m + 1. Let c(l) = -2*s(l) + v(l). Let w(k) = -11*k - 11. What is b*c(h) + 4*w(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 + y. Let c(v) be the first derivative of v**5\/60 + 106*v**3\/3 - 41. Let a(z) be the third derivative of c(z). What is a(j(w))?\nAnswer: 8*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22092 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:10 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -28*a**3 + 23*a**2 - 25*a + 5. Let s(n) = -n**3 - n**2 - 5*n + 1. What is -m(i) + 5*s(i)?\nAnswer: 23*i**3 - 28*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 844893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005323771 to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {q: 1, l: 2, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45054 = 2825*t + 42521 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-9)*v*v**(-3\/2))\/(v*v**(-2\/3)*v)**(-2\/19) assuming v is positive.\nAnswer: v**(-839\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-35))\/((-24)\/120)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - w + 6. What is x(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/13 + 894*w**4\/13 - 14688*w**3\/13 + 59264*w**2\/13.\nAnswer: 2*w**2*(w - 8)**2*(w + 463)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.735359 nanograms?\nAnswer: 0.000008735359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15*-7\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*i = 1162375 - 1207035 for i.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 3*h**2 - 2*h**2. Suppose -5*c + 4*u + 208 = -0*c, 4*c - 191 = -5*u. Let m(t) = 12*t - c*t + 4*t. Determine m(d(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23482 by 59.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-24)\/6 + 10 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922906 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5635 and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + (-1*sqrt(432)*6 + sqrt(36)\/(sqrt(15)\/(-2*sqrt(5)) + sqrt(3)))*1))**2.\nAnswer: -1224*sqrt(3) + 124857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*p**2*v**2 + 16*p**2*v + 5*p**2 + 657*p*v - 262*v**2 wrt p?\nAnswer: 432*v**2 + 32*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -83. Let s(w) = -2*w**3 - 14*w**2 + 2*w + 16. Let v be s(b). Determine j so that -1\/3*j**v + 0 + 1\/3*j**3 - 1\/3*j + 1\/3*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 4*d + 3*d - d + 0*d + (-1 + 1 - d)*(3 + 1 - 3))*(-7 - 13 + 5).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25272, -50543, -75816, -101091, -126368?\n\"Answer: -b**2 - 25268*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78*z**2 - 90*z + 38549?\nAnswer: -156*z - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 1)\/((-2)\/8). Let i = -6 + r. Suppose -5*j = 3*v - i, 0 = -3*v + 2*j - 3*j + 14. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let q(p) = 4*p**2 - 10*p + 12. Let a(i) = q(i) - 2*r(i). Give a(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.785539cm to micrometers.\nAnswer: 57855.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121330 (base 4) in base 3?\nAnswer: -2021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = k + 4*q + 2, -2 = 3*k + q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 5*i**2 + 5*i - 3. Let h be d(-6). Suppose -5*w = -h*y + 77, -2*w = -0*w + 8. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16075*n**3 - 13*n**2 + 10514478?\nAnswer: -48225*n**2 - 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7203, 7205, 7207, 7209, 7211?\nAnswer: 7213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t**2 + 11*t. Let o(v) = v**2 + v. Let x = -80 + 36. Let d(l) = x*o(l) + 4*j(l). Let i(m) = -2*m**2. Determine i(d(u)).\nAnswer: -1568*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-3) + 0\/(-1). Let k(f) be the third derivative of f**6\/120 - f**5\/15 - f**4\/6 - f**3\/2 + 101*f**2. Let t be k(p). Solve t = -w - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 3, -87?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/15*((-77)\/14 + 4) - -3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12886 and 8500.\nAnswer: 3221500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - i - 4 + i + (-2 + 1 - 1)*(-3*i - 4*i + 5*i).\nAnswer: 3*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*d + 88 - 375, -4*k - 148 = -2*d. What is the remainder when d is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -3*j + 8*x - 7*x, -5*x + 102 = 2*j. What is the common denominator of 1051\/(-184) - (-4)\/j and -85\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*v**2\/4 - 87381*v\/8 + 788859\/8 = 0. Calculate v.\nAnswer: -29217\/10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -13.886, 0, 0.2?\nAnswer: -13.886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 + 4*j + 3. Let y be x(-3). Let t be (3 - y) + -2 + -10. Sort -2, t, 1 in increasing order.\nAnswer: t, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 947*n**4 + 1184*n**4 - 426*n**4 + (3*n - 2*n - 2*n)*(-4*n**3 + 5*n**3 - 4*n**3).\nAnswer: 1708*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w. Let k(t) = -2*t**2 - 8*t - 6. Let b(c) = -a(c) + k(c). Give b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000125832 rounded to seven decimal places?\nAnswer: -0.0001258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*n + 162, 121*n + p = 126*n - 381. What is the greatest common divisor of 105 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(-112)\/210.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-9)*(-18)\/(-12) - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 0, 422, -4, -1, 3 in descending order.\nAnswer: 422, 12, 3, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + 2*sqrt(2299) + sqrt(2299).\nAnswer: -6 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 1. Let v = 50 - 44. Let k = v - -11. What is the least common multiple of a(k) and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 7*r + 333. Give v(-12).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 9*j**2 + 11*j - 9. Let h be 6*(5\/2 - 3). Let w be 3*10\/6 - h. List the prime factors of p(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 2*u + 24 - 305 + 39 + 69.\nAnswer: 2*u - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -866117, -866113, -866093, -866051, -865981, -865877, -865733?\nAnswer: -865543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 36*v - 19. Let k be l(17). Is 30 a factor of (-3)\/((-15)\/(-1)) + 1353\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Let l be (1\/2)\/((-6)\/(-12)). Suppose 0*b + l = b. Let p(w) = -w**3. Let k(m) = 2*m**3 + 1. Calculate b*k(r) + v*p(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -371*v - 4440. Let r be h(-12). Solve 19*y + 5*x = 22*y - 30, 4*x = -r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 38*y + 57 + 71 = 0, 0 = -4*s + 5*y - 0*y - 28 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-15) + (-2)\/3. Solve 5*t - f = -27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -15513?\nAnswer: 15512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, z: 2, k: 6, u: 5, v: 2}. What is prob of picking 1 k and 1 h?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -19b?\nAnswer: -19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 31. Find the second derivative of 4051*s + 0*s**2 + r*s**2 - 3913*s wrt s.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m - x, 0 = 2*m - 3*m + x + 3. Let t(v) be the third derivative of v**4\/24 + v**3\/3 + 40*v**2 - 2*v. What is t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + 0.04. Let f = 70315\/4 + -17579. Which is the nearest to v? (a) f (b) 1\/9 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, p: 4, d: 1, j: 4, x: 1, v: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45524 rounded to two dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-11 - 0) + (283 - 269)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**3 - 18*g**2 + 15*g - 59. Calculate j(5).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**2 - 4*c**2 - 3*c**2 + (-c**2 + c**2 - c**2)*(1 + 1 - 4))*(2 - 2*c**2 + 3*c**2 - 4) as q*c + z*c**4 + p*c**3 + l*c**2 + d and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83198 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 19*u - 4. Let y(n) = -256*n**2 + 4*n. Give w(y(m)).\nAnswer: -4864*m**2 + 76*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 35, 40, 45?\n\"Answer: 5*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -4 (b) 19 (c) -5 (d) -119.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 31 = 7. Calculate the highest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = -311*g + 323*g. Solve 0 = -3*v - 66 + g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + (-1)\/(-2). Let j(c) = -c**3 + c**2 - 8. Calculate j(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*x + 17269, 34523 = -18*k + 20*k - 5*x. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6641 is divided by 1938.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9 + 2)*(4 - 1 + i**4 - 7).\nAnswer: 13*i**4 - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p - 39. Let g be n(-7). Solve 0*z + z - 1 = -m, -3*z + m - g = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74042 (base 10) in base 8?\nAnswer: 220472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 65\/(-39) + (-4)\/12. Let o be 5 - ((-5)\/35)\/(w\/77). Let p = -3.91 - 0.09. Which is the second biggest value? (a) o (b) -11 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14127162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1, -1.5, 2, -0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7258*c**5 + 2069*c wrt c.\nAnswer: -145160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:10 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32448 + -32430. Let b(x) be the third derivative of -x**4\/8 + 59*x**3\/6 + 7*x**2. Give b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193185 is divided by 3372.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/113, -2, -5\/2, -3?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**7\/14 + 3*n**6\/10 + 3*n**5\/20 - 3*n**4\/4 - n**3 + 21*n. Suppose t(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1158*i**2*k**2 - 2*i**2*k + 3*i**2 + 73094*i*k**2 - 5*i*k + 1340*i - k + 7 wrt k.\nAnswer: 2316*i**2 + 146188*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*n + 59. Suppose -3*z + n = 2*z. What is the remainder when 46 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*p - 11 = 25, -5*m - 5*p = -50. Suppose 1 = -m*x + 41. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611216.\nAnswer: 2, 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/896)\/((-45)\/(-60)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -505e - 4?\nAnswer: -5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 282.\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:23 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 4*j)*((-5 + 5 - 6)*(9*j**3 - 4*j + 4*j) + j**2 + 3*j**3 - j**2) + (0 + j**2 + 0)*(-2*j**2 - 3*j + 3*j).\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - 2.5. Let y = 13.3 - z. Which is the third biggest value? (a) y (b) -4 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -21. Let b(x) = x**3 - x**2 + 6*x + 3. Let t be b(3). What is the highest common factor of w and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v + r = 47*v + 4, -2*v + 3*r - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (-4)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -852 divided by -142.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4 + 6 = -2*o, 21 = 4*v + 5*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7861*l = 3860*l + 3853*l - 11840 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2974660*q - 11481525?\nAnswer: 2974660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63236 + 43069. Round y to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 18175 - 15287 + 3042. Calculate the remainder when y is divided by 148.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:43 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(2 + sqrt(2592)*-2)*-4 + 4)**2.\nAnswer: -11520*sqrt(2) + 663652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 86. Let a be g(21). Suppose p = -a*y + 4188, 5*y + 4*p + 0*p = 10467. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/7 of a week?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25313247 is divided by 1808087?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:21 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 2*x**2 + 2*x - 1. Let j = -4 - -6. Let w be a(j). Find the third derivative of -14 + w*z**6 - z**2 + 14 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1*-4 - sqrt(85) - (sqrt(85) + (sqrt(85)*1 - sqrt(85)))*3)\/((sqrt(25)\/(sqrt(15)\/sqrt(3) + sqrt(5)) + sqrt(5))*3).\nAnswer: -16*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -1.95. Let i = 3535532 - 3535530.000001. Let j = i - p. What is j rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2204 + 2204. Let g(t) be the first derivative of 2 + 0*t + 9\/4*t**4 + t**3 + y*t**2. Factor g(x).\nAnswer: 3*x**2*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (16 + (-21 - -19) - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404 (base 10) to base 5.\nAnswer: -21104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*r = 0, -5*r + 4 - 18 = -2*t. Suppose 2*c = -3*m - 2*c - t, 2 = -c. Solve -m*o - 8 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 4*(-3)\/(-6). Suppose 36*b + 12 = 32*b, 15 = 2*v - 5*b. Solve v*w = -a*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 31*b + 198. Let d be v(-16). Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36540*n + 73063*n - 36530*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 7 - w**4 - w - 6 + 3*w**4 + 3*w - 5*w**2 to the form l*w**4 + k + d*w + h*w**2 + y*w**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206966 is divided by 1651?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -14*k + 13*k + 22, -3*n - 10 = 2*k. Solve 6*j + u = 10 + 18, -k*j + 12 = 4*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 99\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 579393 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*o - 287*o = 467*o + 540 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = -4*o - 36, 3*m - 82 = -o. Let k(t) = -m + t + 28 + 0*t. Let c(s) = -6*s**2 + 13. Calculate c(k(p)).\nAnswer: -6*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6 - (-72)\/(-108). Let j(s) be the third derivative of 0 - 2\/21*s**7 - 1\/6*s**6 + 3*s**5 - 27*s**z + 0*s**4 + 1\/84*s**8 - 72*s**3 + 0*s. Factor j(y).\nAnswer: 4*(y - 3)**3*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9552*l - 26. Let v(f) = -9551*f - 21. What is 4*i(r) - 5*v(r)?\nAnswer: 9547*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*y - 39*y**2 - 31*y + 79*y as v + l*y**2 + c*y and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 571, 633, 695, 757, 819, 881?\n\"Answer: 62*f + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 224, 340, 454?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47938.95 weeks in microseconds?\nAnswer: 28993476960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 392700 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. Let h be (3 - (1 - -2))\/i. Let k(l) = -6*l**3 - 2*l - 1. Let p be k(-1). Solve -2*b - 4*s + 9*s + 18 = h, -p = -b + 2*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from skssskskssss?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422776617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t**3 - 17*t**2 + 8*t + 4. Let f(r) = -17*r**3 + 18*r**2 - 10*r - 5. What is 4*f(j) + 5*l(j)?\nAnswer: 17*j**3 - 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5803 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-16 + 53 - 89)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2313*a + 487. What are the prime factors of l(-9)?\nAnswer: 2, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062151765 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**3 - 194526*w**2 + 10364*w + 43.\nAnswer: -30*w - 389052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87*871\/(-93264)*2\/(-13).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*y + 4*y + 16, -3*d - y + 3 = 0. Suppose 9*k = d*k. Is k > -2\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -187, -368, -541, -706, -863, -1012?\n\"Answer: 4*q**2 - 193*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: c9bb (base 16) to base 3\nAnswer: 2121211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 268\/1161199 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/15144 and -115\/1248?\nAnswer: 787488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(2\/23)\/(((s*s**(1\/2))\/s)\/(s*s**(-12))) assuming s is positive.\nAnswer: s**(-525\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 3ac5?\nAnswer: -3ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -205, -189, -157, -103, -21?\n\"Answer: r**3 + 2*r**2 + 3*r - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, -41 in descending order.\nAnswer: 7, 6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - (15 - -110)) + -1 + 13?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 0*f + 3*f**2 - 3*f - 3*f. What is the least common multiple of n(-3) and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40689 + -9454. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13396545?\nAnswer: 3, 5, 41, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by -67.\nAnswer: -139\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -717, -1437, -2157, -2877?\n\"Answer: -720*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -14. Suppose d*c = 2*c. Suppose c = -p + 2, -354 - 244 = -2*r + 2*p. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.36362mg in tonnes?\nAnswer: 0.00000000336362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*z**5 + 2*z**4 - 26*z**3 + 14*z - 17 wrt z?\nAnswer: -320*z**3 + 24*z**2 - 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p**(-1\/5)*p)\/(p\/(p\/p**(-2\/11))))**(-38))**23)**(-3\/13) assuming p is positive.\nAnswer: p**(430008\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -1\/30*j**5 + 6*j**2 + 0 + 5\/6*j**3 - 1\/24*j**4 + 0*j. Let d(b) = -2*b**2 - b + 6. Calculate 4*d(y) - 5*f(y).\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.6*927.\nAnswer: 12607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-41)\/(-2)*(-3 - -1). Let m = h - -41. Factor -4\/7*j**3 - 2\/7*j**4 + 2\/7*j**2 + 4\/7*j + m.\nAnswer: -2*j*(j - 1)*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 6, 4 in descending order.\nAnswer: 6, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + k**2. Let h(z) = 398*z**3 - 4*z**2 + 99*z + 1. Let d(i) = h(i) + 4*o(i). What is the second derivative of d(q) wrt q?\nAnswer: 2340*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1652, -3240, -4768, -6230, -7620, -8932, -10160?\nAnswer: -11298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 2971540?\nAnswer: 11886160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7760 - 5540. List the prime factors of b.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 398 - 48. Let n = 349.9 - g. Which is the closest to 0.1? (a) n (b) -1\/4 (c) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 131. Suppose 0 = 5*z + 7 + s, 5*w + 4*z - 108 = 0. What is the remainder when 94 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.63440747 * 1.\nAnswer: -0.63440747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 - 2. Suppose 119 + 61 = -5*s. Let f be (-2)\/8 + (-25)\/s. Which is the nearest to p? (a) 3 (b) f (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*h)*(8 + 1 + 30) - 2*h + 3 + 0*h + 3*h.\nAnswer: 157*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 27. Suppose l - y = -4*v + 3, 0 = -5*l + 3*v + 35. Solve 3*t = t + 8, q - l = -t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 - 8*w**2 - 8*w + 2. Let z be -3*(20\/(-4) - -4) - -18. Suppose -z*r - 6 = -23*r. Let f(m) = 2*m**3 - 3*m**2 - 3*m + 1. Give r*o(j) - 8*f(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 606040605 - 20?\nAnswer: 606040555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13013 * -51.\nAnswer: -663663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1754.9 + -11563086?\nAnswer: -11564840.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313633.\nAnswer: 17, 19, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17866018 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q + 68 - 33 - 35.\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 7098960*b**3 + 7098956*b**2.\nAnswer: 4*b**2*(b - 1774739)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 4*l - 322. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-5) + 3*(-8)\/120\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c + 137. Let x be g(7). Suppose 28*f - 20148 = -x*f. List the prime factors of f.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289410 and 2310.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3505 + -1958. What are the prime factors of r?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 14, 289, -1, 3.\nAnswer: -1, 1\/4, 3, 14, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Suppose -2*l + 23 = 3. Suppose -5*i = -0 + l. What is the closest to -0.1 in i, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 492685215 divided by -15\nAnswer: -32845681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/23992 (b) 0.01 (c) -1\/6 (d) 0.4 (e) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m*y**5 - m*y**3 + 4*m*y**2 + 6*y**2 wrt y?\nAnswer: 360*m*y**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*12\/5)\/(510\/(-18)*51\/425)?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7935 is divided by 516.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:13 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 17800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.357 (b) 2\/11 (c) 4\/11 (d) 0.12 (e) -31 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzezzzezezz.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -42*a + 1017. Give d(24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 439557\/266 + -3305\/2. Let h be 0 + -3 + (-21905)\/(-1330). Let q = y - h. Calculate the common denominator of -57\/2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 21 - 37*i**2 + 8 - 14*i**2 - 17*i**2 as p*i + w*i**2 + n and give w.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43960842 by 14653614.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6603 and 154659.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6. Suppose y = -0*i + 2*i - 12. Calculate the least common multiple of 11 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p - 112. Give y(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2*j + 1\/2*j**2 + 203 - 1\/3*j**3. Give p(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155350650 divided by -42\nAnswer: 3698825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-21)*2*7. Let c = p - -14. Calculate the remainder when 29 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/134388 and -40\/3.\nAnswer: 134388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.974519 tonnes to grams.\nAnswer: 974519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m**2 - 97*m - 2. Let x be f(8). Let y(i) = 2*i - 6. Determine y(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 4*a + 5. Let q be u(4). Let x(s) be the second derivative of -s**4\/12 + 7*s**3\/6 + s**2 - s. Is x(q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h**2 + 2*h)*(23*h**2 + 332*h**2 - 12*h**2 + 63*h**2).\nAnswer: 812*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-7 - 2)) + -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = -w - n, -3*n + 9 = 0. Let t = -8 + w. Let q = t + 4. What is the least common multiple of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345235 is divided by 79?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 30*p - 98. Suppose 426*s = 427*s - 33. Let z be j(s). Which is bigger: -1\/25 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Suppose 20 = 4*y - 80. Let r = -123\/5 + y. Is v >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**5 - 3187*i**3*s**2 - 54*i**2*s**2 + 86*i*s**2 wrt i?\nAnswer: -180*i**2 - 19122*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/3 - 1414*r**4\/3 + 93070*r**3\/3 - 1040786*r**2\/3 + 1215536*r - 899160 = 0.\nAnswer: 1, 6, 59, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -19*z - 11296. Is 27 a factor of (-7)\/(70\/15) - z\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2327*w = -2333*w + 678. Are 115 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10221001 + -2002?\nAnswer: -10223003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/3444)\/((-5)\/(-3)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.8 - 11. Let h = f + -5.8. Let g be (21\/18)\/(-7)*4. Which is the nearest to g? (a) h (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 440 = -2*l - 1360, -p = -2*l - 236. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a tonne in kilograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 13*z = 9*z + 6*z + 36, 36*z = -3*i + 42*z + 60 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204001506 divided by -1878.\nAnswer: -108627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 3*u**2 + 0*u**2 + u**2 - 3*u**2 + u**2 + (u + 2*u - 5*u)*(0*u + 2*u - 4*u) + 2*u**2 + 3*u**2 - 6*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g + 20 = 0. Which is greater: -14\/3 or g?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1 + (-2)\/(-2). Sort -2, o, 1.\nAnswer: -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110001110000001 - -11?\nAnswer: -100110001101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 + -1 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 - 300702?\nAnswer: -300636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + u**2 - 1 + u - 1 - 3*u. Calculate the remainder when v(9) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 2:46 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 183 + g**2 - 5 - 178 + 3*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssjjujj. What is prob of picking 1 u and 2 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -59. Let l = 11 - o. Let t = -21 - l. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 29. Suppose 0 = -t*d + 15 + 13. Suppose d*q - 55 = -3*m, -2*q - q + 45 = m. What is the least common multiple of 2 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -24, -64, -122, -198, -292?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rumoooooouruoruio. Give prob of sequence romu.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = -17. Suppose -d*g = g + 5. Let m = -34397.04 - -34397. Is m at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 4:11 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234523, 234671, 234819, 234967, 235115, 235263?\nAnswer: 235411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 11 = 2*c - 4*m - 26, -m = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.341 - -0.059. What is the nearest to -2 in -2\/3, y, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3744647 is divided by 1814.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67 or 2648\/39?\nAnswer: 2648\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p - 1. Let d(r) be the first derivative of 0*r - 1\/2*r**2 - 17. What is 2*d(l) + u(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -10 + 22. Let n(y) = -11*y**3 - 3*y**2 - 2*y - 2. What is the units digit of n(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235 (base 7) to base 11\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (4 - ((18 - 1) + 8 + -4))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159976 greater than 159974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -4. Let w = -238 - -241. Suppose 2*d - 6*d + 7 = -k, 16 = -4*k + 4*d. What is the closest to w in q, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 674663.6419313 + -671762.64211. Let f = k - 2901. Round f to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 + -0.51. Let k be 2*(-1 + -1)\/12. Let i = 4 - 6. Put f, k, i in descending order.\nAnswer: f, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 298 and 8430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0148 rounded to one decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**20)*f)\/f*f*f)\/(f\/f**(-6\/17)))\/((f\/(f\/(f**(-18)*f)))\/(f**13*f)) assuming f is positive.\nAnswer: f**(878\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -47*a**5 - 148569*a**4 - 117485548*a**3 - 122032876*a**2 + 229681440*a + 9985600 = 0.\nAnswer: -1580, -2, -2\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6120)\/(1271\/(-43214))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 50 = -11*b. Suppose b*f - 363 = -353. Let y be -4*(0 - 3\/(-4)). Sort f, 5, y in increasing order.\nAnswer: y, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1 + -13)\/252\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2774052664771+0.4\nAnswer: -2774052664770.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyeyeyy. Give prob of sequence eyye.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -612, 3, 58 in ascending order.\nAnswer: -612, 3, 13, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:05 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/13 in 1\/34, -1, 1\/7?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31570 and 22548442.\nAnswer: 1240164310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/2))**13*d**11*d**(-1\/14))**(3\/11) assuming d is positive.\nAnswer: d**(912\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 108489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:25 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Suppose 0*o - 2*w = -2*o + 4, -3*o = w + 2. Suppose 2 = 2*t - o. Sort i, t, 5 in increasing order.\nAnswer: i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + q - 2*q**2 - 3)*((-2*q + 7*q + 0*q)*(0 + 0 + 2*q) + 3*q**2 - 3*q**2 - 2*q**2).\nAnswer: -16*q**4 + 8*q**3 - 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -27430?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = v - 210, 5*v - 148 + 21 = -2*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/19, -13, -1\/7, 39\/20, 1, -1\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12611.36 weeks in hours?\nAnswer: 2118708.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)\/((-23 + 5)\/6). Let t = -33\/58 - -2\/29. Is t < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 41, -149, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -15. Let m be -4*((-25)\/20 - (-8)\/4). Let f be -4*m\/6 - (-5 - -4). Solve -f*h = i - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -386.925 to 0 decimal places.\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1478210428 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2068145 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.006 and 949041.5.\nAnswer: 949041.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 9*d + 8 = 0. Suppose -3*z + d = 2. Is 327 + z - (-10 - -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -9\/5, 422\/89, 0, -1 in increasing order.\nAnswer: -9\/5, -1, -3\/4, 0, 422\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from yyykksycckiygyscks.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 10*w**2 - 7*w - 12. Let v be i(9). Let c = 6 + -12. Let q be c*(-2 - v\/(-4)). Solve 0 = 3*n + 3*x - q, 0*x = -n - 5*x - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 6*l**2 - 5*l - 9. Suppose 3*o - x - 22 = -o, 6 = 2*o + 2*x. Suppose 0 = o*r - 20 - 15. Let b be n(r). Solve 3 = -b*k + 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*i - 20, -3*t = -5*i + 8 + 12. Suppose -4*c + c + 168 = t. Calculate the remainder when c is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -1.3.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 345 + -143. List the prime factors of s.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + -3 + 22)\/(-9 - (-263)\/29) is divided by 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 2, s: 1, p: 3, b: 3, i: 3}. What is prob of sequence qp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - 65 - ((-2 - 8) + 7) - -8.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4434232 is divided by 972.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5477057, 5477072, 5477087?\nAnswer: 5477102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19742689\/423 - 46673. Let d = 24997\/1692 - w. Find the common denominator of d and 146\/6*6\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*o - 7446 = -103*o - 208*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 3 = 4*m. Suppose m*t + 20 = 0, 2*d - t - 6 = -5*t. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -15) + -20 + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77261139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 184962539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(((v*v**1*v)\/v)\/v)*v*v)\/v)**20*(v**1)**(-2\/31))\/(v**3*(v\/((v\/(v*v**(6\/11)\/v))\/v))\/v*(v\/v**0)**25) assuming v is positive.\nAnswer: v**(3884\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Let o(x) = -3*x - 43340. What is c(o(j))?\nAnswer: 6*j + 86680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1235 + -397.7.\nAnswer: -1632.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 4293040.\nAnswer: 7\/4293040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 2, w: 1, j: 2, n: 1}. Give prob of sequence vv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5270 a factor of 101837480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z + 1. Calculate the common denominator of (-10)\/(-70)*(34 - 3) and d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -22. Let w = q + -4. Suppose -7*r + 660 = -w*r. What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*j + 0 + 4*j - 3*j - 3*j - 5*j + 2*j + 5*j + (1 - 4 + 1)*(-2 - 2*j + 2) + j - j + j + (-3*j + 3*j + 2*j)*(-6 + 4 + 1) + 39*j - 53*j - 58*j.\nAnswer: -67*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o - 4*s - 10, 0 = 4*o - 3*s + 55. Let j be 56\/(-10)*o\/4. What is the greatest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 8*p**2 + 5*p - 11. Let t be i(-7). Suppose 2*m + 4*f + 16 = 0, -t*f = -m + 1 - 4. What are the prime factors of 2*41 - (m + -1 - -4)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + b**2)*(4*b**3 - 2*b**3 - b**3) + 16 - 15*b**4 - 33 + b**5 + 18.\nAnswer: 2*b**5 - 15*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2373*b**2 + 4179*b**3 + 4719*b**2 - 2353*b**2 - 1328*b**2 wrt b?\nAnswer: 25074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 19*k**2 - 2222*k + 16514. What is j(8)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/2)\/(16\/88))\/(2\/(-8))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 - 12*g + 12. Let j be c(2). Find q such that j + 0*q + 1\/8*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2418 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*x - 194, x + 3*v + 47 = -1. Let b = x + 65. Let l be ((-6)\/7)\/b - (-403)\/91. Solve -l*u - j + 17 = 0, -4*u - 5*j + 27 = -2*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - 6*n + 26. Let g be r(9). Let b = -274 + g. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238699216*x**5 - 1295182296*x?\nAnswer: 4773984320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276.924*8.\nAnswer: -2215.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3266705*c**2*f**3 - 2*c**2*f + 19*c*f**2 + 27349*f**2 wrt f?\nAnswer: -19600230*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25283645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12*u - 26. Let y = 110 + -112. Let m be k(y). Let r(n) = -10*n**2 - 11*n + 21. Let h(v) = -v - 3 + 2*v**2 - 1 + 3*v. What is m*r(w) - 11*h(w)?\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-66) - (-291)\/33. Solve k = -3*c + 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/7 + 40*y\/7 = 0. What is y?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*w = 26804, 0 = -j + 5*j - 5*w - 26804. Let x = j - 12223. Let g = -3051 - x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 288, -2\/9, 0.03, 2\/7, -19.6?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 157*a + 46. Let y be t(5). What are the prime factors of 3\/(9\/y) + 1?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l + 6202*l - 1056*l + 1796*l.\nAnswer: 6917*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 104*k - 809. Let y be l(24). Calculate the greatest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094.9 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - (476\/21 - 12). What is the closest to 0.08 in -17.6, w, -0.5, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 22, 29?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 27*r + 114. Let q be t(22). Let c(f) = 11*f**2 - 6*f - 8. List the prime factors of c(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, s: 2, h: 5}. Give prob of sequence sr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -516, -1157, -2054, -3207?\nAnswer: -4616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(45)\/(sqrt(27)\/sqrt(3)).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvqqhq. What is prob of picking 1 q and 1 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17325024 divided by -69024?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2 - 4 + 6*u + u**2 + 5. Let i = 3 - 12. What is the tens digit of q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*s = -2831*s + 6561 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/4)\/(207\/52 + -4). Let z = x + -72. Differentiate 6 - 4 - 40*m + 24*m - z*m wrt m.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210731424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103326208 to the power of 1\/2, to the nearest integer?\nAnswer: 33216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 - 8 + 4 + a + 3)*(0*a - a + 0*a) to the form x*a**2 + i*a + c + z*a**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 5*q - 123. Let n be (q\/6)\/((-9)\/135). Let h(z) = -z**2 - 5*z + 4. Determine h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 11*q**2 - q. Let v(s) = -2*s**2 - 1. Let r(k) = c(k) - 3*v(k). Determine r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 9:44 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 18*u - 56. Calculate the smallest common multiple of (147\/u)\/7 + (-87)\/(-4) and 8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2\/11, -0.1, -34, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2\/2 - 2853*d - 1838403\/2 = 0.\nAnswer: -1491, -411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 68*w - 15*w - 9*w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 6*p - 162. What is f(16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:54 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(432)*-1 - sqrt(3)) + (sqrt(448) - (sqrt(448) - -2*sqrt(448)*-5))**2.\nAnswer: -sqrt(7)\/13 + 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 5. Let a(w) be the second derivative of -11*w + 2*w**2 + 0 - 1\/6*w**3. Let g(q) = 3*q**3 + q. Let u be g(-1). Calculate u*a(x) + 3*p(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140899552*u**4 - 172616431*u**2.\nAnswer: 3381589248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1478 and 1152101.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a38653 (base 11) in base 2?\nAnswer: 110010110101101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:34 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0 + 1\/60*x**5 + x**2 + 2\/3*x**3 - 1\/6*x**4 + 0*x. Suppose g(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrxr when four letters picked without replacement from xrxxoxoxrr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18b6 - -3?\nAnswer: 18b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 6) to base 8.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-18)*(-2)\/33?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*c + 2*c**2 - 49*c - 415*c**4 - 3*c**2 - 1172*c**4 wrt c.\nAnswer: -38088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x + x**2 + 5*x - 2*x + 2 + 5*x. Let j(i) = 3*i - 2. Let p be j(-4). Let y be l(p). Solve y*a - 1 = 3*h, 2*a = -0*a - 2*h + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 323230, 323228, 323226?\n\"Answer: -2*j + 323232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:29 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Let v = -15 - -26. Suppose 0 = -2*x + 4*y + 16, 4*x + 4*y + v = -5. Which is the closest to x? (a) i (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + ((-36)\/(-15))\/(10\/(-25)). Sort b, -64, -3, 4 in ascending order.\nAnswer: -64, -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746677343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80) + 5*sqrt(30)\/sqrt(6) + (sqrt(20)\/(sqrt(324)\/sqrt(9)))**2*5.\nAnswer: 34\/9 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 + 1 - -1) - (-40 + 28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -115 and -172918422917?\nAnswer: 172918422802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = -3*d - 6, -4*n = 4*d + 16. What is the closest to 2\/11 in 0.02, d, -2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2)\/((-6)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.34. Let y = 171 - 171.5. Put r, 0.4, y in decreasing order.\nAnswer: 0.4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -21. Calculate the least common multiple of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 11*t**4 - 385*t**3 + 4175*t**2 - 10500*t.\nAnswer: t*(t - 21)*(t - 5)**2*(t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -10)*(-682)\/220. Suppose -3*m + 46 = 5*v, -3*m + p - 1 = 3*v. Calculate the highest common factor of v and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000703 to seven dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - -2) - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 578096 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + (-2)\/4. Suppose r = -t + h, t + 3*h - 2 = 3*t. Let m = 8 - t. Calculate the greatest common divisor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n + 14. Suppose -1 = 4*x + n. Let f(m) = -5*m. Does 5 divide f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of -3*(4\/(-2) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(2 - (-16)\/(-12)). Suppose -4*s = -k*s - 14. Let u be (-40)\/s*70\/(-4). What is the highest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.36 and 2.424.\nAnswer: -0.87264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/3 (b) -17\/5 (c) 49 (d) 0.1 (e) 0 (f) 83 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m\/(m*m*m*m*(m\/(m\/m**(2\/91))*m)\/m*m))\/m))*(m**(-1\/19)\/m)\/m)\/(m**(11\/4))**(1\/6) assuming m is positive.\nAnswer: m**(-312587\/41496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 360456.\nAnswer: -1\/30038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -198258728 to the nearest 1000000.\nAnswer: -198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12388887487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let h(r) = -8*r + 2*r + 0*r + 4*r. Calculate s(h(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*f**2 - 7*f - 12*f**2 + 17*f to the form b*f**2 + m + t*f and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*n = 7*m - 4, 0 = 5*m + 3*n + 2. Let k(y) be the first derivative of -1\/3*y**3 + 0*y - 2 - 3\/2*y**4 + 0*y**2. What is k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -3.24.\nAnswer: 4.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1151 (c) -8 (d) 4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 8*r**2 + 3*r + 11. Let m(z) = -2*z**2 + 3*z - 8. Let p be m(0). Determine h(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j**2 + 2*j**2 - 5*j)*(3*j - 14 + 14).\nAnswer: 9*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9221670 is divided by 399?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*o = -16*o + 1880. Solve -r + o = -12*k + 7*k, r = 2*k + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11018, -22059, -33100?\n\"Answer: -11041*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4)*q)\/q*q\/(q**(-2\/11)*q*q*q)*q\/((q\/(q\/q**(-8\/7)))\/q)*q\/(q*q\/(q*q**6)))\/((q*q**(-1))**(-47)\/(q**(-2\/5))**(-9\/14)) assuming q is positive.\nAnswer: q**(252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 23*s + 3. Let u(k) = -34*k - 5. Give -8*b(c) - 5*u(c).\nAnswer: -14*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 4 - 3 - 3)*(-13 - 784464*x + 1568945*x + 6*x**3 - 784475*x) as d*x + n*x**3 + a + i*x**4 + h*x**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1170 and 182430?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -25. Let p = 14 - u. Let n = -25 - -29. What is the third biggest value in p, 3, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + 4 + -1885)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 34*r**3 + 0*r**3.\nAnswer: -39*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.89 + 4.98. Let g = z + -0.09. Let c = g + -3. Are 1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16460 - 6477. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003282 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {i: 1, s: 14, c: 2}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 17*m - 12. Suppose 3*j = 5*j + 32. Let k be f(j). Suppose o - 2*z - k = 0, -2*o - 4*z + 51 = 11. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/8 - 6*v**3 - 22*v**2. Let x be g(12). Calculate the lowest common multiple of 18 and 2*(-15)\/(x + -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320637797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 2215 = -5515. What is the greatest common divisor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 405 + 638. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15554804*q*r + 23388265*q wrt r?\nAnswer: 15554804*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*x + 18, -s - 34 = -5*x - 3*s. Suppose x*g + 20 = g. Let m be (g\/(-16))\/(7\/8). What is the third smallest value in 3\/2, -0.2, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.064 from -2359850.\nAnswer: -2359849.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6439085625 to the nearest integer?\nAnswer: 80244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5\/7 - 6306*d**4\/7 - 2718*d**3 + 284194*d**2\/7 - 486096*d\/7 + 227232\/7 = 0.\nAnswer: -9, 1, 4, 3156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 4.99. Let t = 7117\/45 - 798\/5. Let i = t + 118\/63. What is the second smallest value in d, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + 22\/8. Let k(u) be the third derivative of -u**4\/24 - 2*u**3\/3 - 91*u**2. Calculate k(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2114)\/175 + 12 - (-98)\/1850. Let k = -23 + 24. Do k and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66938714 and 964?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 15 + 102. Let r = s - 36. What is the remainder when 4 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, -237, -528, -935?\n\"Answer: -58*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 309*n + 97 + 123 - 331*n. Let m be a(10). What is i in m*i + 32*i**3 + 0 - 16\/3*i**2 - 28*i**4 - 196\/3*i**5 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 5:07 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0908 + 456.0908. Let q = 456.0000291 - m. Round q to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 20*g + 2*g + 3*g - 9*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -117657.\nAnswer: -117659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(204))\/sqrt(12))**2 + -4 + -3*(-2 + sqrt(17)).\nAnswer: -3*sqrt(17) + 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 45*w - 223. Let c be t(19). Sort -16, 2, c, -1, -5 in decreasing order.\nAnswer: c, 2, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.2, -0.3, -0.043, 0.1, 4, 2\/31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4870588 (base 9) in base 14?\nAnswer: 4cba9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7308 + -5945. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 32 + 53 = 3*t, 0 = 4*t - 3*n - 2. Solve -5*z + 16 = -4*i, 14*i = 13*i + t*z - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/((-174)\/261).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -186*(29 + 1050\/(-36)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1345612253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:24 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 61850?\nAnswer: -61849.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382756 - -1165.\nAnswer: -381591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12796 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohuhuuhhhkkovhhnkhh. Give prob of sequence ouvo.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1002688276?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*x - 22, -5*x - 18*h + 25 = -23*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 380 - 378. Put j, 0, -0.4 in decreasing order.\nAnswer: j, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = -3*a + 9*a. Suppose u + 5*x - a = 0, -3*u + 400 = -4*x + 55. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/25*(-956217132055)\/(-696). Let r = -109910019 + p. Let y = r + 41\/87. What is the common denominator of y and -119\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o\/(o**0\/o)*o))\/((o\/(o*o**(4\/3)*o))\/(((o**(1\/2)*o)\/o)\/o))*(o**5\/o**0)**(-6\/7) assuming o is positive.\nAnswer: o**(-103\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52374 is divided by 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 62?\nAnswer: 5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:37 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1338 greater than or equal to 2421\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*v - 140*v - 206*v.\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.072, -4, 5 in ascending order.\nAnswer: -4, -0.072, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - -1*3*sqrt(114)) + sqrt(114))\/sqrt(6).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -133?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48396 and 49728?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61074.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23171 + 23392. Which is the closest to -0.1? (a) -0.02 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.84 + 0.66. Is u > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/143 - 587\/715. Let a be 8\/6*2\/(128\/(-18)). Sort 1\/3, a, g.\nAnswer: g, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-4)\/(-14) - -2. Put 5, -3\/11, v in increasing order.\nAnswer: v, -3\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110257705123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 4*r. Suppose -3*s - 5 = s + b, -r*b = 2*s + 15. Suppose -2*c + 2 = -s*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 87 + 103 + 67)*(-5*h**3 + 2*h**3 - h**3).\nAnswer: -856*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(4*sqrt(816) + sqrt(816)) + sqrt(816))*-2)\/(-3*sqrt(3)*-5 + (sqrt(33) - sqrt(99)\/sqrt(3))\/sqrt(11)).\nAnswer: -128*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**3\/3 + 3*c**2 + 7*c - 10. Let y(d) be the first derivative of n(d). What is y(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9964311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -5 - (-75 - -93)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 29 + -43 - 24 - (1 - -50).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 235 = 403. What is the smallest common multiple of ((-6)\/(-1))\/((-12)\/(-32)) and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 201 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2*y**(-13))\/(y\/(y**3*y))**(-20))**(-17) assuming y is positive.\nAnswer: y**1207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**2 + 3*h + 1. Suppose -4*f - 15 = i, 2*i + 25 = -3*i + 5*f. Let k = i + 5. What is the remainder when d(k) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110011 (base 2) in base 15?\nAnswer: 50e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254 by 2.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -90651.8 less than -21777?\nAnswer: 68874.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -4, -124, -388, -844, -1540?\nAnswer: -2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 42*c**2 + 81*c - 45. Let f be y(40). Let o(t) = -2*t**3 - 4*t**2 - 11*t - 83. What is the hundreds digit of o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 31090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**5*b*b**(2\/7))\/(b**3\/b**(-4))*b**(2\/7)*((b**(-3)*b)\/b)\/b*(b\/b**(-1))**2 assuming b is positive.\nAnswer: b**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c + 182 = 5*t, 5*t + 3*c = 174. Solve g - 24 = -6*o + 2*o, 0 = 4*o + 4*g - t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5841 - 5?\nAnswer: -5846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 10326.\nAnswer: 258150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 308 = 88. Let s(h) = -h**2 - h + 135. Let d be s(p). Solve d = -7*i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 36 + 375)*(-5*d**2 + 3*d**2 + d**2 + (-2 - 3 + 4)*(-2*d**2 + d**2 + 3*d**2)).\nAnswer: -1038*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-316)\/53 + (-2516)\/66674?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2877177 and 447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 24*c**5 - 12*c**2 + 49*c + 6. Let i(j) = -49*j**5 + 26*j**2 - 99*j - 13. Let f(p) = -13*h(p) - 6*i(p). What is the second derivative of f(g) wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*o + 24 - 19, o - 10 = 3*u. Suppose -11 = v - 2*v - 4*j, 0 = 2*v + 5*j - 19. Let t = o + v. Solve -t*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/14)\/(11\/(1078\/364)). Let w = -3.48 - -0.58. Let r = 3 + w. Which is the second smallest value? (a) r (b) -1 (c) 0.3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-40)*(-30)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1156*l + 68182. Determine q(59).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = s - 6. Let m be ((-72)\/s)\/((-6)\/189). Is 8 a factor of m\/(-2)*3\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*x = -3067 - 9581 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12918.727+-0.5\nAnswer: -12919.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*z - 352 = 0, -2*z + 680 = -5*a + 233. Let w = a - -149. Calculate the remainder when w\/(-8)*((-4)\/(-5))\/(-1) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2 + 20099130*x - 33664585563075 = 0.\nAnswer: 3349855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 11 + 83 = 0. Is (-2061)\/g + 5\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y. Let d(c) = 11 - 3 - c - 8. What is n(d(x))?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppk when three letters picked without replacement from {p: 2, k: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*o*s**2*x + 2*f*o*x**2 - 2*f*s**3*x - 3*f*s**2*x**2 - f*s**2 - 4*o*s**3*x**2 + 20*o*s**3*x - 13*o*s**2*x + 2*s wrt s?\nAnswer: -12*f*x - 24*o*x**2 + 120*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-4)\/(-20))\/(90\/50).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-70)*9650\/(-4246)*77\/(-35).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 75*r = 5 - 785 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48718 divided by -14?\nAnswer: 24359\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 3. Let x be f(-4). Let i = -16365 + 16373. Solve -i - 2 = -x*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2646 is divided by 94?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -59*d + 250. Let a(i) = -2*i - 4. Let b be a(-3). Solve d*y = -b - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-104340)\/(-666))\/((-2)\/(-630)).\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*y = -23505, -5*w - 9*y = -12*y + 23503. What is w rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7 - 5. Find the first derivative of -q*y - y - 5 + 1 wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50.77 and 0.2?\nAnswer: 10.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 5\/4, 184 in decreasing order.\nAnswer: 184, 5, 5\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 497 + -495. Solve -3 = c*v - 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*r - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - (-69)\/(-15))\/(2\/40). Let f(z) = j*z - 2*z - 4*z. Let n(y) = 2*y**2. Calculate f(n(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 0 (c) 4\/5 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/292972290 and 197\/92430.\nAnswer: 878916870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -558*j + 557*j - 3*x, -4*j - 26 = 6*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 2*g)*(-109 - 155 - 260 + 72).\nAnswer: -452*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1102 divided by -746.\nAnswer: 551\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 1. Let h(y) = y**2 + 11*y - 4. Let p(v) = -h(v) - 4*t(v). Let a be p(-8). Let w = a - -1. Calculate the highest common divisor of 2 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67 or -17?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.993913 - -0.009?\nAnswer: 7.002913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49645135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35718063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w + 3*w)*((-w - w - w)*(-1 - 5 + 1) - 393*w - 724*w + 1372*w).\nAnswer: 270*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193409?\nAnswer: 17, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16923 + -16922.33. Which is the fourth biggest value? (a) 2 (b) -0.4 (c) -2\/17 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + o + 3 = 0, 4*j + 12*o - 7*o + 21 = 0. Put 0, -10, -39, j in decreasing order.\nAnswer: j, 0, -10, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 26 + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-10))\/((-4)\/20). Let g = -8 + y. Suppose 2*i + b - 314 = g, i + 2*i - 5*b = 471. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/9 and 47\/4637.\nAnswer: 41733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 8*h**2 - 2*h - 3. Let z be (4\/3)\/(7\/21). Suppose 0 = -z*g + 3*u + 37, 5*g - 1 - 28 = -2*u. What is the remainder when n(-8) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 4*w + 25*w. Let n(g) = -2*g**2. Calculate n(k(h)).\nAnswer: -1152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594564297 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*r - 2671 = -884*r + 6324 - 1141 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and 1376?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7539 - -7541. Let h be (-3)\/((-1 - -4)\/(-3)). Let y be (-1)\/2 - 1\/6. What is the nearest to 0.1 in h, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*x - 889 = 0, 9*x - 8*x = 3*i - 1317. What is the remainder when i is divided by 121?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 836 = 2629. Is 69 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i - i - 3*i + 9*i to the form j*i + u and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.4 - -23. What is the second smallest value in p, 5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (53 + -55) - 41.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -2\/15 (c) 136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - (-6 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 7?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3151?\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.1. Suppose -25 = -5*t, 6*q - 3*q + 5*t = 22. Which is bigger: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - 4*h + 2*h)*(0 + 1 - 3) + (-3*h + 0*h + h)*(2 + 1 - 5) - h - h + h)*(2*h**2 - 3*h**2 + 9*h**2).\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2 + 268*n - 8978 = 0. Calculate n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, -3619, 141, 10, 0.4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -0.26 (c) -17 (d) -4 (e) -5 (f) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445530.6 litres in millilitres?\nAnswer: 445530600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*k - 3*k**3 - 102*k - 284*k + 5*k**3.\nAnswer: 2*k**3 - 592*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169522254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 7. Let w be (0\/y - 7)\/1. Let z(r) = -r - 2. Determine z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2019, 2015, 2011, 2007, 2003, 1999?\nAnswer: 1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 + -75. Calculate the remainder when 31 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/8 and 61\/5346338.\nAnswer: 21385352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**3 + 0*j**3 - 2*j**3)*(-1 + 1 - 2*j)*(293 - 1569 + 29) as b + f*j**4 + a*j**3 + m*j + p*j**2 and give f.\nAnswer: 4988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - 4. Let n be (1\/j + 0)*5. Let r = 0.1 + -1.1. Put -1\/5, r, n in descending order.\nAnswer: -1\/5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0179 and 7920?\nAnswer: 7920.0179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2051 divided by -1?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 4*k + 7*k)*(70*k - 8*k + 17*k)*(79*k - 162*k + 14*k) to a*k**3 + w*k + f*k**2 + j and give a.\nAnswer: -43608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13433442 + 141304?\nAnswer: 14130301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 733591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -117, -210, -303?\n\"Answer: -93*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*n - 1 - 19 = 0, 3*t - n = 10. Let o(m) be the first derivative of -t*m - 70*m**2 - 12 + 2*m + 73*m**2 - m**3. What is q in o(q) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 136699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -70, 3 in descending order.\nAnswer: 7, 3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - -11. Suppose 4*s - m = -5*k, -1 = 3*k - 5*s - 4. Suppose -14 = -2*u + k. What is the greatest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124871082 and 420.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 9*u**2 + 21*u + 33. Let g be d(-3). Let q = -0.66 - -0.6. What is the closest to q in g, -0.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 18 = -y, 2*z + 11*y - 10*y + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(3 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 1 + 18 + -2. Let r(l) = -4 + 3 - y*l + 20*l. List the prime factors of r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/63)\/((-82)\/(-1845)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -30, 0.1, 4, -4, 161 in decreasing order.\nAnswer: 161, 4, 0.1, -2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 87 = -127 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/(-10)*28\/(784\/14)*5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2353*x - 376*x - 15 - 1 - 2 + 16 to the form p + q*x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 26. Is 20 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m**2 - m + 1. Let a = -194 + 195. Let n(i) = 9*i**3 + 85*i**2 + 83*i - 27. Let q(k) = a*n(k) - 5*o(k). Factor q(h).\nAnswer: 2*(h + 2)*(h + 4)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -125. Suppose -4*n - 3*z + 46 = -i, 0 = n + 5*z - 16. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41970599*k**2 + 71200313 wrt k?\nAnswer: 83941198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43194 and 20032.\nAnswer: 1382208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 3*(sqrt(75)*2 + sqrt(75)) + -4.\nAnswer: -4 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j + 455. Let d(i) = 2*i + 229. What is -10*d(m) + 6*p(m)?\nAnswer: -2*m + 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:41 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/60 + 3)\/((-27741)\/(-10568))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300120300 - 120123?\nAnswer: 300000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111000 + 101?\nAnswer: -100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/232167 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 253 - 460. Let w = d - -207.1. Which is smaller: 155 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 46152*i**3 + 3764556*i**2.\nAnswer: -4*i**2*(i - 11619)*(i + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 11*w**2 - 222*w - 2465. Give o(-15).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -161*h**2 - 23*h - 23. Let a(k) = 36*k**2 + 5*k + 5. Let c(x) = -23*a(x) - 5*m(x). Let q(d) = -d**2. Give q(c(g)).\nAnswer: -529*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*z - 8, 6*a + 40 = a + 2*z. Let y(f) = f**3 + 7*f**2 - 7*f - 2. Let x be y(a). What is the units digit of (x\/4)\/(-5)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1.2. Suppose 0 = 5*z - f - 14, 5*z + f + f - 17 = 0. Suppose -18 + 6 = 3*y + 3*x, z*y + 4*x + 16 = 0. Sort -0.1, y, k in descending order.\nAnswer: k, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164171 is divided by 14920?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 - 5*m**2 - m. Let g be ((-36)\/(-45))\/(4\/(-20)*1). Let b(v) = -3*v**3 + 4*v**2 + v. What is g*r(l) - 5*b(l)?\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 18. Calculate the lowest common multiple of 12 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -446596553*n**2*w**2 + 20703921*n**2*w wrt w.\nAnswer: -893193106*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124225*o + 124209*o + 16. Which is smaller: 79\/82 or o?\nAnswer: 79\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101\/90 + 9\/10. Put -2, -0.2, 0, k in descending order.\nAnswer: 0, -0.2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 112 = 7*b. Let k be (-5 + 6)*14\/1. What is the highest common divisor of k and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -12*i**2 + 10*i + 5. Let v(d) = -18*d**2 + 14*d + 8. What is 8*o(h) - 5*v(h)?\nAnswer: -6*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2049*m**2 + 20*m. Let i(y) = -5*y**2. Calculate f(i(p)).\nAnswer: -51225*p**4 - 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 + -5 - -7) + 7 + -17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let t(d) = 225*d. Let s(o) = -o. Let p(f) = 15*s(f) - t(f). Determine h(p(n)).\nAnswer: -57600*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 36*c. Let p(y) = y. Give p(n(o)).\nAnswer: -4*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144171624*i**3 - 10*i**2 - 875591?\nAnswer: 865029744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3038\/13 (b) 21 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0*z**3 + 6*z**2 - 3 + 6*z**2 + 11*z + z**3 + 4. Let c be r(-11). Let y(n) = 8*n + 2. Let j be y(c). Calculate the highest common divisor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 29*s**2 - 39*s + 100. What is the tens digit of p(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/4 or -3568?\nAnswer: -3568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -554169 and -554243 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 257408836?\nAnswer: 1544453016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 2*s**5\/5 + 8*s**3\/3 + 1. Find the third derivative of t(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (8 + -15 - -18) - (-3 - 4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -477.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -625, -939?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 35*c - 4. Let o(d) = d**2 - 18*d - 2. Calculate 7*o(j) - 3*w(j).\nAnswer: j**2 - 21*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53369\/1953 - -886\/31. Find the common denominator of -11\/117 and p.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s + 12723 = 14462 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4554.429l?\nAnswer: 4554429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301.2 - -306.2. Put 11, 7, j in ascending order.\nAnswer: j, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 7:26 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 30.07. Let p = -0.23 + l. Let f = 3 + -5. What is the smallest value in p, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 - -1) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21192+0.131867\nAnswer: 21192.131867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 8:30 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 8 = -9*m - 6*l, 0 = l - 3. Solve 3*d = -g + 2*g + 1, m = -2*g + 4*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43690, 87561, 131434, 175309?\n\"Answer: w**2 + 43868*w - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.818063 rounded to 3 decimal places?\nAnswer: -2.818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) - (-90)\/21. Let i be 0\/(-3) - f\/(-4). Sort 0, i, -1.\nAnswer: -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1536\/(-48)*1\/2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 2*n + 1. Suppose -j + 14 = -m + 2*j, -5 = -j. Determine f(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*10\/(-250)*10\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*o - 2*c, -40 = 4*o - 6*c + 2*c. Suppose 0 = 3*z + 9, 4*b = z + 7 + 8. Sort -2, b, o in decreasing order.\nAnswer: b, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m + h - 9, 3*h = -m - 8. Let b(g) = -g**3 + 8*g**2 - 7*g + 4. Calculate the lowest common multiple of b(m) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8709, 35083, 79121, 140823?\nAnswer: 220189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 38 + 37)*(40*g + 37*g - 80*g + 11).\nAnswer: -174*g + 638","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 1. Let p be d(-5). Let g be (p\/3 - 5)*-3. Suppose -g*c + 42 = -22. What is the smallest common multiple of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -103. Suppose 16 - 4 = x*k. What is the highest common divisor of k and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30756 = 30971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16478 and 856?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 7, q: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -656*b**2. Let d(g) = -23600*g. Calculate a(d(l)).\nAnswer: -365365760000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -44 - 82*(-184)\/(-1680)\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094 (base 11) in base 3?\nAnswer: 102002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*a - 7008 - 3157 + 4057 = 5197 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.5, 11, -2\/21, 1.322, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i**2 + 10*i + 7. Suppose -38 + 17 = -3*s. Let y(k) = -6*k**2 + 3*k + 2. What is s*y(o) - 2*b(o)?\nAnswer: -6*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 342501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1001 - -1005. Solve -5*t + 1 = 3*b, 5*b = 9*b - k*t - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(588)*2*-4)\/(1*sqrt(12)*4))\/(sqrt(28)\/(sqrt(4)*2) + (sqrt(21)*2)\/sqrt(3)))**2.\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4794? (a) -5 (b) -1 (c) 1\/2 (d) -3\/4 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 39, 92, 197, 372, 635, 1004, 1497?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 961*u**5 - 118699*u**4 + 2712471*u**3 + 1394227*u**2 - 1253392*u + 184512 = 0.\nAnswer: -1, 8\/31, 31, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/130494 and 73\/174.\nAnswer: 3784326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllyllyyll. Give prob of picking 3 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-45)\/(g*g*g\/(g**(-10)*g)*g**(-10)) assuming g is positive.\nAnswer: g**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11751, -1 in descending order.\nAnswer: 11751, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837 + 341 + 340 + 156 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/65 and ((-3104)\/(-26))\/8*(-2)\/40.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -145*17\/255.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27986\/13 + 447731\/208. What is the common denominator of z and -55\/34?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2 + 21*b - 2. Let d(j) = -4*j**2 + 10*j - 1. Let o(s) = -13*d(s) + 6*i(s). Let p(c) = -3*c**2 + 3*c. Give -2*o(m) - 3*p(m).\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 + -0.13. Round a to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 33\/18 - 13\/78. Solve z = 4*k + 12, k + 2*k + 34 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4341*a + 75054 = -2554*a for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 105044132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -9. Put n, -0.07, -1\/2 in increasing order.\nAnswer: n, -1\/2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 12*b**2 + 32*b - 8. Suppose -22*d + 17*d + 30 = 0, -t - 24 = -3*d. Calculate g(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3431726*n**4 + 1752473.\nAnswer: 13726904*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 + 2 - 1). Let h = -8 - -10. Solve -y*j + h*j = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/60 + 11*y**4\/6 - 25*y**3\/3 + 42*y. Let b(p) be the second derivative of c(p). Let v(h) = 2*h**2. Calculate b(v(m)).\nAnswer: 4*m**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795455.\nAnswer: 5, 23, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39858, 39890, 39974, 40134, 40394, 40778, 41310, 42014?\nAnswer: 42914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2*d**6\/15 - d**5\/5 - 2*d**4 + 8*d**3\/3 + 16*d**2 + 86*d. Factor b(o).\nAnswer: 4*(o - 2)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzzqzxqxrznr. Give prob of sequence qnqx.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 252268701 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 4060*i**3\/3 + i**2 + 42*i - 4839. Find the second derivative of t(l) wrt l.\nAnswer: 8120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/32934 greater than -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174206116*v**3 + 146097974?\nAnswer: -522618348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94089097 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8*c = -700. Let z = 150 + c. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Suppose -j*b + 12 - 86 = -s, -64 = -s - b. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-20))\/(3 + (-153)\/48). What is the second biggest value in -1\/3, s, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166726.1043ms in weeks?\nAnswer: 0.00027567146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 16576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75829*h**3 + 75820*h**3 - 151660*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l. Let i(y) = -y**2 + 7*y + 10. Let v be i(7). Suppose v*q = 14*q + 64. Let x(w) = w. Let p = 11 + -14. Give p*b(n) + q*x(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*z - 588, 3*t - 4 = z - 314. Let m = -298 + z. Which is smaller: m or -1\/30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190197*q**2 + 111417*q.\nAnswer: -380394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24841*c**4 + 24462*c**2?\nAnswer: -596184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 6*i + 33. Let u be s(-9). Let z be -234 + u - (15\/(-5) + 2). Is z at least as big as -227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-40)\/60)\/(4\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-206940)\/(-15920) + 0 + -13. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 595\/(-70)*3\/(-357).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 - -11 - (-79 - (-10 + -13))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 1 - 1)*(5009*b**4 + 9748*b**4 - 5078*b**4).\nAnswer: -19358*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 5249 = -5039 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10*o - 8. Let i be l(2). What is the nearest to 0.2 in -3\/2, i, -3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 196*t + 10867. What is k(242)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3665*n - 2*n**3 + 3665*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -85?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.338 + -0.04.\nAnswer: 0.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (39\/182)\/(4\/14)*4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6*2 + (-32)\/(-6). Suppose -o*z - 4 = -29. Suppose -x + 22 = -z. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 3*l**2 + 4*l + 5. Let o be i(-4). Sort -5, 0.86, o, 7.\nAnswer: -5, 0.86, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64545542 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*25)\/((-9)\/(-9 - -18)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y - 11122 + 8098 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/16 - (-63975)\/20. Round r to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -27*u + 175. What is the remainder when x(-10) is divided by 443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 2193 - 1311. Let l = -843 + k. Solve -40*x = -l*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 3 + 3)*(-j + 2*j**2 + j) - 21*j**5 - 2*j - 18 + 18 + 2*j**5 + 3*j**5 - 3*j**5.\nAnswer: -23*j**5 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 5*r + 8. Let j be w(-2). Suppose -45 = -2*v + 225. Suppose -4*d = -i - v, j*i - i = 25. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16314 and 0.6.\nAnswer: -0.097884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125901318.\nAnswer: 2, 3, 71, 479, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3)*9 - -1*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*(-1 + sqrt(3)))**2)*5 - ((-1 + sqrt(3) + 2 - (1*sqrt(6))\/sqrt(2))**2 + -1).\nAnswer: -10*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -23 + -8 + -21 - -34?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-1 - s**3 + 1) + (-s - 1 + 1)*(4 - 4 - 3*s**2) to the form a + v*s**3 + f*s + q*s**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15204 is divided by 5043.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39824)\/54758)\/((-112)\/22)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1475503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7 = -34. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + u**2 - 2*u**3)*(2 + 2 - 2)*(0*u - 2*u + 3*u).\nAnswer: -4*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 438846 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.82176267 rounded to three dps?\nAnswer: -63.822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -563\/1581 + 12\/527. Let k(z) = 9*z**3 + z**2 + z + 1. Let j be k(-1). Which is the closest to i? (a) 0.4 (b) j (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 636049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(3 + 0 + (-13842)\/(-5)). Suppose -17*m + w = -39778. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {e: 1, j: 4, h: 5, i: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854 and 288979082?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130013 (base 4) in base 9?\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*m = -0*w + 147, -w = -m + 57. Let j = w + 71. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -772167.\nAnswer: -5\/772167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -131330?\nAnswer: 131332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 163*p - 20019. What is y(127)?\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2 + -2)*3. Let y be -3*u\/27*6. Let t be 2 + -4 - (-10)\/y. Which is the second biggest value? (a) 1 (b) -5\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*o = -2, -4*q - 3*o = -q - 6. Suppose -249 = -a - q*a. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13253 - -17585. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5886407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/15 + (-432)\/90.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001810551 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s - 12. Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -375, -377?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17776 is divided by 117?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 10:22 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 26 = 2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8209475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 9*a - 1. Let o be p(5). Suppose 553 = -1610*f + 1617*f. Let h = o + f. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965284 is divided by 96413.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-2 + 1)*3. Let u be y\/14 - (-30)\/7. Let o = u + 1. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + (-51)\/9)*-3. What is the second smallest value in x, 1.469, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*f + 2*f - 4*f)*(0 - 4 + 2) + 49*f + 1398 - 1398)*(-12*f + 12*f + 6*f**2) to the form v + w*f**3 + l*f + u*f**2 and give w.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*n = -5*t + 34, -64 = -5*t + 4*n. Let l be -3*(-15 + 1)\/2. Let d be (-4)\/(-3) + 182\/l. Solve r - 4*q + t = 3*r, d = 2*r + 3*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)*1 - sqrt(392))*-5)\/(sqrt(512)\/sqrt(8) + sqrt(24)\/sqrt(54)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*(l\/(l**(-1\/4)*l)*l)\/l)))**(-36)*l**8*l**5*l assuming l is positive.\nAnswer: l**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = -11. Which is the second biggest value? (a) 5 (b) 0 (c) 2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a84e9d6 - 4?\nAnswer: -a84e9da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus -3987?\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 - 284*m**2 - 464*m + 142. Determine s(-93).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.61811 millilitres to litres.\nAnswer: 0.02761811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3889 - 3905. Sort -1, 0, 1, d.\nAnswer: d, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 8}. Give prob of picking 4 u.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 14. Suppose -p - 2079 = 20*p. Let c = -111 - p. Give i(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let c(n) = 3*n**2 + 2*n + 1. Let y be c(-1). Let q be (-10640)\/(-336) + 2\/(-3). Suppose -s - 2*w = w + 22, -y*w = 3*s + q. What is i(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 10*o**2 - 10*o + 9. What are the prime factors of f(8)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2806 + -0.0236. Let v = 0.043 + x. Let y be ((-1)\/(-6))\/((-4)\/18). Which is the nearest to -2\/9? (a) y (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 14*q - 9*q. Let j = 98 - q. Solve 5*b - 7 = -z, -2*z - b + j = 3*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 548.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3067042 = 524274. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456060 and 319242.\nAnswer: 3192420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - -22. Does 71 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 >= -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.198 - -0.002. Which is the second biggest value? (a) 9 (b) 0.7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 419587885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 + 332*z**3 + 15572*z**2 + 152512*z - 880704 = 0. Calculate z.\nAnswer: -278, -36, -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 5*q + 13*q)*(2 + 6*q**2 - 23*q + 11*q + 18*q) as r*q + p*q**2 + t + v*q**3 and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)\/(c**6*c))\/((c\/c**(2\/19))\/(c\/(c*c**3))) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 329444 not equal to 4282776\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -50.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16520 + 19733.4. Round g to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*c**2 + 64*c**2 + 80*c**2.\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*c - 846, t - 5*t - 663 = -3*c. Does 14 divide (3\/(27\/t))\/(3\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 954 divide 816222366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30281 and -0.1?\nAnswer: 3028.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 461927 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112.3 - -126. Let t = a - 13.6757. What is t rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122.71 - -124. Let g = k + -1.28831. What is g rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 22.2698, -0.5, -2, -3\/13, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, i: 6}. What is prob of sequence pppp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 19\/1823 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35743 to 2 dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13 - 25*y - 11*y - 4*y. Let w be t(-5). Suppose -3*h - w = -2*c, -3*c - h = 2*h - 297. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -536*s + 536*s + 23*s**2 + (-5*s + 3*s + 0*s)*(s + 3*s - s) + 4*s**2 + 0*s**2 - 3*s**2 - 2 + 3*s**2 + 2 as l*s**2 + v*s + a and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 16. Let h be (u\/(-38))\/((-3)\/2). Let w = 10149.9 - 10150. Sort 4, h, w.\nAnswer: h, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 u, and 1 t when four letters picked without replacement from {t: 4, g: 5, z: 1, r: 4, f: 1, u: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 66*t - 225.\nAnswer: 3*(t - 25)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = 0, -3*v = -v - 2*n - 819104. Suppose 0 = -5*y - 5*p + 4900020, 2*y - 1550437 - v = 2*p. Round y to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 38*s**2 + 13263*s + 492114. Give t(-37).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (1 - -2) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1807*w**2 + w**3 + 1807*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 134 - (-2 - (-1 - 0)). Let z = l - -34. Let s(x) = 5*x - 2. What is the remainder when z is divided by s(9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 300*i**2 - 16699860*i + 232404436683.\nAnswer: 3*(10*i - 278331)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f - 16*f + 19*f to u*f + b and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 548248566 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187393 - -187392.999917977. What is j rounded to 6 decimal places?\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(81)*-2)\/(sqrt(3) + sqrt(108)*-3).\nAnswer: -36*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-473*o + 1 + 283*o - 1 + 1476*o)*(-3 + o + 0*o - 2*o) to the form m*o**2 + t*o + l and give m.\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 436038584 a multiple of 463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 26*u - 28 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/198 - (-3)\/27*-8. Put -2, -4\/3, i in decreasing order.\nAnswer: i, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 495. Let c = j - -434.7. What is c rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 246 + 27 = 5*d, -66 = -d - 3*z. What is the remainder when 212 is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -37. Let z = g - -17.5. Let p = z - 2.534. What is p rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 5*b**8\/336 + 208*b**7\/21 + 9591*b**6\/4 + 656914*b**5\/3 - 13428095*b**4\/24 + b**2 + 441. Suppose y(w) = 0. Calculate w.\nAnswer: -139, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86467539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -32?\nAnswer: -117\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37262 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -203. Suppose -4*x + 344 + 181 = -k, -x - 5*k = -q. Suppose 12*t - 90 - 54 = 0. What is the highest common factor of t and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192847 is divided by 345?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let d = 6 + 2. Let g = d - -3. Let i(b) = g*b + 2*b + 4*b - 8*b. What is i(v(p))?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5 + 5 + 71*x - 26*x - 35*x. Let w(g) = -3 + 3 - 4*g**2. Give w(b(i)).\nAnswer: -400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d - 218251 = 52*d. 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 18258 is divided by 134?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 2. Let v(k) = k - 2. Let s be v(p). Suppose s*b = -y + 12, -2*y - 3 = -5*b + 3. Solve -2*z - 16 = -b*c, 5*c + 4*z - 2*z = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 136*h - 279*h + 126*h. Solve 0 = -4*i - 3*z + 1, z = -4*i + 6 + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -44298\nAnswer: 1\/7383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -402, -413, -428, -447, -470, -497?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -29b58?\nAnswer: 29b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 3111?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398405.1 millennia in months?\nAnswer: 4780861200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/103, 13, -357 in descending order.\nAnswer: 13, -2\/103, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w**2 + 5*w - 3. Let b(j) = 17*j**2 + 4*j - 2. Determine 5*b(h) - 4*u(h).\nAnswer: 13*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*p**2 - 10*p**2 + 18*p**2 + 0.\nAnswer: 17*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + (-17 - (9 + -31) - (0 - -6)) + -3.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 775 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/3283 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39.9 * 47\nAnswer: -1875.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*s - 7 + 2, 0 = -5*i - 5*s + 25. Suppose i*h = 22 + 23. Solve -5*c + 2*c - 3*a - h = 0, -5*c + 2*a - 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-9)\/225*(-1)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 4368 and 0.6.\nAnswer: 4368.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -17 - -17 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**7\/840 + m**6\/480 - m**5\/120 + m**2\/2 - 22*m + 59. Let p(s) be the second derivative of i(s). Factor p(j).\nAnswer: j**2*(j - 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**3 - 2*q - q**2 + 5*q**3 - q**2 + 0*q**2 as z*q**2 + o*q**3 + r*q + j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 0.01284685.\nAnswer: -0.08715315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 31*t - 210 = 0. Let g = 348\/5 - t. Which is smaller: 13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*v - 4*k, -3*k - 2*k = 3*v - 34 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 21 = -6*l. Suppose 4*u = x - 220, -l*u + 1025 = 5*x + u. Calculate the greatest common divisor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.92 + -0.08. Let d = 1597.3 - 1597. Sort 0, 2\/5, b, d in decreasing order.\nAnswer: 2\/5, d, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 99.\nAnswer: -19\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 323435 - 323427 = -a, 6*i - i + 4*a = -32 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 - -120.43. Let y = b + -0.1. Let l = -0.6766 - y. What is l rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1622701082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 10:57 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -403, -397, -391, -385?\n\"Answer: 6*v - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/19)\/(2\/(16\/4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182822*i**2 - 45703*i**2 - 45704*i**2 - 45704*i**2 - 45713*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 66342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -261646 times 5\nAnswer: -1308230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/7 + 1716*s**2\/7 - 734445*s\/7 - 1475762\/7 = 0. Calculate s.\nAnswer: -2, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331330 + 10?\nAnswer: -331320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 8:53 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 = 76. Let b be (-216)\/(-162)*(-9)\/2. What is the least common multiple of g and (53 - 25)*(-3)\/b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6803 is divided by 162?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 48*s**2 + 23*s - 7. Let m(g) = 26*g**2 + 13*g - 4. Let h(r) = -7*m(r) + 4*o(r). Let a(l) = -30*l**2 + 47*l**2 - 22*l**2. Give a(h(z)).\nAnswer: -500*z**4 - 100*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a + 1196160 = -43*a. Is 112 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -26. Suppose 0 = -u + 1 + v. What is the first derivative of 7 + 3*z**u + 7*z - 7*z wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2632*v - 1789 + 9146 = -4354 + 1183 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 390 = 3*p - 5*p, -2*p + 386 = -5*z. Let r = -8 + p. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*j - 3*d, 5*j + 3*d = 8*d + 35. Let k = 0.01 + 1.69. Let u = k - 4.7. Which is the smallest value? (a) 2\/3 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2354\/41 + 80217\/1435. Calculate the common denominator of k and 79\/50 + (-4)\/10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0 (c) 2\/41 (d) 0.11 (e) -11\/72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(170)\/(1*sqrt(360)))**2 + ((1 + sqrt(272) - sqrt(272))*-3 + 3)**2.\nAnswer: -4*sqrt(17)\/3 + 593\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 5*k**2 + 5*k - 16. Let l be z(-6). Let n be 2\/((-6 + 1)\/(l\/4)). Calculate the greatest common divisor of 9 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/120751 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184449 is divided by 120.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(1\/5)*k))\/k)\/k*k)**20\/((k\/k**(-1\/5))\/k)**(1\/13))**30 assuming k is positive.\nAnswer: k**(-9366\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.23 + 0.23. Let j = -16247.13 - -16182. Let h = j - m. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128923 - -1*(-3)\/(-6)*264\/(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 81 + 2*t**2 + 1096*t + 43 + 34 to the form w + n*t**2 + d*t and give d.\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26857*k**2 - 27264*k**2 + 54127*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1\/3 - 6314\/(-6). Let q = k + -242. Let r be (-1 + (-3)\/(-15))\/((-3)\/q). Calculate the greatest common factor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.04, 0.5, -0.3, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*k - 0*v + 5*v, -v = k + 4. Let h(o) = 7*o**3 - 3*o + 14*o**3 - 2*o**2 + 4*o. Is h(k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 1, v: 1, x: 1, i: 2, h: 1}. Give prob of sequence hvwx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 416 and 8147516.\nAnswer: 65180128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 a when three letters picked without replacement from gxagnaaiqxinxg.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5 and -31\/658.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/37409 or 1?\nAnswer: -1\/37409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + o - 2 + (0 + 5*o + 0)*(42 - 22 - 7)*(-5 + 0 + 3) in the form t + y*o and give y.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -8656*j**3\/3 - 207*j**2 + 10*j + 11978. Find the second derivative of u(l) wrt l.\nAnswer: -17312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -40*c**3 - 68*c**2 - 11*c + 33. Let q(b) = -10*b**3 - 17*b**2 - 3*b + 9. Give 3*f(x) - 11*q(x).\nAnswer: -10*x**3 - 17*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644869 is divided by 46062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -96705 divided by -5?\nAnswer: 19341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1222121210 (base 3) to base 16\nAnswer: 98b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 451 = 414. Let l = d + -174. Let x(m) be the third derivative of -m**5\/12 - m**3\/6 + m**2. Let s(u) = -u**2. Calculate l*x(i) + 4*s(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14000 and 480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:17 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1012000?\nAnswer: 1011323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24 - 12\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:29 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + 11110100000100?\nAnswer: 11110100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 2065362?\nAnswer: 20653620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5742*a**3 - 2*a**2 - 7*a - 6. Let r be u(-1). Let l = r - -1520. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/3165905 and 67\/3270.\nAnswer: 18995430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31747578 and 1452798.\nAnswer: 11262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31806 - 4?\nAnswer: -3180a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Suppose l*v - 2*v - 3*a - 27 = 0, 3*a = -5*v + 15. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0 + 0)*(-y**3 - 4*y**3 - 2*y**3).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105*((-2140)\/(-15))\/2?\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 30*b**3 + 13*b**2 + 4*b + 31. Let m(n) = -19*n**3 - 7*n**2 - 3*n - 16. What is -5*m(i) - 3*p(i)?\nAnswer: 5*i**3 - 4*i**2 + 3*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15 and 0.167863.\nAnswer: 0.317863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*z - 68, 4*g = g - z - 41. Let y be (-2 - (-6 + 3))*(g - -14). Solve 0 = 5*r - y*c + 5, -6 = -2*r + 3*c + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/10 (b) -1\/4 (c) 18.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfffmfmffmfmmmff. Give prob of picking 3 f.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2136*h**3 + 2156*h**3 + 21*h**4 - 26*h**2 + 33*h**2 + 1 to w*h**3 + z*h + s*h**2 + u*h**4 + i and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*a + 291 - 79, -3*v + 2*a = -322. Suppose 0 = -100*s + v*s - 72. Calculate the greatest common factor of s and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 74*g**2 + 2*g. Let d be t(2). Suppose 0 = -z + j + 451, -4*j = 5*z + 1215 - 3425. Suppose 2*b - d - z = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*d*q**5 - 7*d*q**2 - 405153*q**4 + 93495*q**2 - 1 wrt q?\nAnswer: 1980*d*q**2 - 9723672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - -0.3. Let r = 6 + j. Which is the second biggest value? (a) r (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.64982 minutes to nanoseconds.\nAnswer: 2798989200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 = -10*f. Suppose 18 = f*j + 2*x, -j + 5*x - 5 = 2*j. Solve 0*d = j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34.01 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8478.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 - 123*f**3 - f**2 - 6.\nAnswer: 240*f**3 - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/9 + 13 - (-425)\/102\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1. Let g(f) = -4 - 2 - 3*f + 15*f + 7. Let u(l) = g(l) + 6*x(l). What are the prime factors of u(5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fho when three letters picked without replacement from {i: 1, h: 1, o: 4, l: 3, f: 6, c: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*t**2 - t**3 - 538*t**2 - 44*t**2 + 2*t**3.\nAnswer: t**3 - 734*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3241 + 3241.2. Let j(w) = w**2 - 4*w - 4. Let o be j(4). Put -3, z, o in descending order.\nAnswer: z, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + -0.11. Let u = 1044.1382 - 1044. Let i = d + u. What is i rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47597 = -3*j - 33*h + 38*h, 2*j + 5*h = 31748. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 40*w**2 - w - 1. Let b be u(-1). Is b\/30 - 148\/(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 652*y**3 - 704*y**2 + 7872*y.\nAnswer: 4*y*(y - 164)*(y - 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 5*j**2 + 7*j + 6. Let v be u(-5). Let f be (0 - -3 - v) + -3. Let c = f + -14. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 195?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 - 5*a + 3. Let m be l(-5). Suppose 0 = -s - 5, 4*o - m*s = -0*o - 8453. Let z = o - -3058. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**3 + 6 + 0*a**3 - 49 + 25 + 18.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1658 + -6?\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -120151?\nAnswer: 120150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j + 9*j + 4 - 19*j. Suppose -5*u = -u - 4. Let v = 2 + u. Give o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 9*c**2 - 4*c + 20. Let o be (2 - (-20)\/4)\/(-5*(-3)\/(-15)). Calculate q(o).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-630)\/20)\/21*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 of a microgram in nanograms?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - -51 - (-11 + (-2 - -11))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*a + 2 + 4, -4*r = -4*a. Let z(i) = -16*i + 18 - 19 - 6. Let d(s) = -5*s - 2. Calculate a*z(l) - 7*d(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6\/7*y**2 - 2\/7*y**4 + 0 - 8\/7*y**3 = 0. Calculate y.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 + 8*s + 2. Let i be w(6). Suppose -4*f + 2 = -i. Find the second derivative of j**f + 16*j - 14*j + 0*j**4 wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/5 - 14*y**3 + 912*y**2\/5 - 5248*y\/5 + 11264\/5.\nAnswer: 2*(y - 11)*(y - 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 202011020102201?\nAnswer: -202011020102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-6)*159*322\/418117?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6505? (a) 4 (b) -1\/17 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 9:33 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 106, 333, 708, 1225, 1878, 2661, 3568, 4593?\n\"Answer: -j**3 + 80*j**2 - 6*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:20 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3464*q - 983*q + 76911 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (6 - 2)*-2. Solve -2*l - v + 4*v = 1, -3*l + g = 4*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2143994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45504 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: Simplify (3 + sqrt(10)\/sqrt(2) + -2)**2.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 2616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 8*z**2 - z - 72. Give h(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 + 149*w\/2 = 0. What is w?\nAnswer: 0, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -10. Let w be 106*s\/4*(-12)\/6. Find the third derivative of -29*u - 24*u - 12*u**2 + w*u - 4*u**3 wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.6548699473 + 7803.\nAnswer: 7810.6548699473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 + m**2 - m. What is a(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/5))**33)**(2\/9))**(4\/23) assuming q is positive.\nAnswer: q**(-176\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, 0.61, -2, -20, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(13\/(-91))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4. Let o = -1 - c. Calculate the lowest common multiple of 12 and (-1)\/(o\/80*2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 3. Let n(j) = 42*j - 1. What is the units digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/90 and -95\/22368?\nAnswer: 335520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 5*u**2 - 7*u - 3. Suppose -4*m - 36 = -3*y, -3*m + m = -5*y + 32. Let t be d(m). Let o be -4 + 12\/16 + t. Which is bigger: o or -4\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353 is divided by 482?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11640, 12271, 12902?\nAnswer: 13533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 96217*b\/2.\nAnswer: b*(b - 96217)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 bigger than 2323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14 and -85.2?\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, f: 4, z: 3}. Give prob of picking 3 f and 1 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 3*t**5\/20 - 31*t**4\/2 + 121*t**3\/2 - 90*t**2 + 316*t + 3. Factor l(a).\nAnswer: 3*(a - 60)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/5 - 8*h**2\/5 - 8*h + 96\/5 = 0.\nAnswer: -4, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 51 (b) -3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.4, -0.12, -4, -16 in descending order.\nAnswer: 20, 0.4, -0.12, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2849369975 by 5.\nAnswer: -569873995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 728009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 2*c**2 + 8*c + 14. What is b(-6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 409 = -3*y, -2*j + j = -2*y - 105. Let l = -43 + j. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 - -267. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12 - ((-10727)\/510 + 20))\/((-111)\/2960)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w**2 - 51*w + 6. What is the lowest common multiple of 88 and s(-5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 - (-4 + 4 + -3). Which is the nearest to 0? (a) 5 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24058922?\nAnswer: 2, 29, 414809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -612, -887, -1142, -1377, -1592?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x, 3*p - 17 = 2*p - 3*x. Suppose 0 = -p*u - 5*q + 80, -6*u + 98 = -u - q. Suppose u = 4*b + 3. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -2, -1303 in descending order.\nAnswer: -2, -60, -1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 4*a - 4*a)*(0 - 1 + 3)*(5*a - 6*a - 9*a).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let h(l) = -l + 10. Let j be h(7). Let f(m) be the first derivative of 6 - j - 13*m**2 + 14*m**2. What is f(n(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgmmuemummummemmmgu. What is prob of picking 1 e and 1 g?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 - n - 24. Give v(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 13 + 3*n**3)*(-33*n - 242 + 242) to x*n**3 + v + b*n**4 + q*n + c*n**2 and give b.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-7) - 3*2\/(-21). Let h(f) = -w - 2 - 2*f**2 - 3*f**2 + 4*f + 4*f**2. Determine h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 + 5*w + 2. What is the remainder when -1 - 26*(-3)\/6 is divided by y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**8\/60 - 41*k**7\/840 + 7*k**6\/90 - k**5\/30 - 2*k**3\/3 + 3. Let r(o) be the third derivative of q(o). Factor r(y).\nAnswer: -y*(y + 2)*(4*y - 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -76*m + 120. Solve -7 = 3*r + m*o, 3*o - 4*o = -4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 3*k**2 + 13*k - 1. Suppose 55 = -8*s - 9. Let q be j(s). Let x = 348 - q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 422*t - 1271. What is b(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/24 - 7\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 5*n**2 + n - 7. Let c be o(5). Let g = c + 5. Suppose 2*d - g*d = -3*k + 2051, -2*d = -2*k + 1362. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-10)*(-14)\/(-48) - 1\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1223 (base 5) to base 4\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from mrxmr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -36*d. Let r(m) = 4*m. Let l(g) = 28*r(g) + 3*u(g). Let q(w) = -3*w**2. Give l(q(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.671893 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-27))\/(44\/(-6)). Which is the second biggest value? (a) i (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433*v - 1494*v = -244 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94300*d + 96045*d - 73290 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v. Suppose -126*k - 10 = -128*k. Let x(y) be the third derivative of k*y**2 + 0 + 0*y**3 + 1\/24*y**4 + 0*y. What is j(x(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-12 - -16 - 6). Let x(i) be the third derivative of 1\/12*i**4 + r*i + 0*i**3 + 0 + 18*i**2. Let c(w) = -5*w**2 - 1. Calculate c(x(j)).\nAnswer: -20*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1300)*-2 - sqrt(1300)) - (sqrt(1300) - (-2 + sqrt(1300)))*-5)**2*-5*2.\nAnswer: -1873000 + 24000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25181146.\nAnswer: 2, 67, 113, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, 60, 1 in decreasing order.\nAnswer: 60, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10070781183 - 10070781183 + 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 6, 3\/8, 389?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 11 - 2*t**4 + 25*t + 512*t**5 - 72*t + 27*t + 22*t wrt t?\nAnswer: 10240*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -12*m - 42, -4*v + 44 = -1290*m + 1286*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 7. Let r(a) = 2*a + 7. Calculate 4*q(k) - 3*r(k).\nAnswer: -2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 1:45 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 8:11 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 + 155. Let f be (18\/g)\/((-2)\/(-36)). Which is greater: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-54))\/(9\/(-270)). Solve v*b = 23*b - 91 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -10*v + 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -381276 or -381232?\nAnswer: -381276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c - 2*s + 16, -5*s - 30 = -5*c. Let r = -5 + c. What is the least common multiple of r and (-148)\/(-15) - (-42)\/315?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z. Suppose -7*m - 57 = 27. Let c be 1\/4 - (117\/m + -2). Solve -c = 3*t - z*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 61*j**2 + 172*j + 119. Let p be r(58). Solve -4*z = -p*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388998729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + m - 4*m + 17)*(-167*m**3 + 50*m**3 - 181*m**3) - 3*m**4 + 0*m**4 + 5*m**4.\nAnswer: 896*m**4 - 298*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose -s + t*s + 3*j + 19 = 0, -4*j = -2*s + 12. Let m be (-58)\/s + (-6)\/12. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/210 - 363*k**5\/20 - 427*k**4\/8 - 838*k**2. Find the second derivative of n(u) wrt u.\nAnswer: -12*u**2 - 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-4*sqrt(1584)*-2 + (sqrt(1584) - ((sqrt(1584) - (2*sqrt(1584) + sqrt(1584)))*2 - sqrt(1584)) - (-1*sqrt(1584) + sqrt(1584))*-4))*-1 + -3)**2.\nAnswer: -144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -19 + 8 - ((2 - 7) + -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141855 = -21*v - 10143. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -449*m**5 - 1316*m**2?\nAnswer: -26940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/120 + q**5\/60 + q**4\/24 + q**3\/2 - 20*q**2. Let u be j(0). Let v = 34 - u. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 337340000 to the nearest 1000000.\nAnswer: 337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2746, 5488, 8222, 10948, 13666?\nAnswer: 16376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10*-3 + -1. Let j = -21 - -85\/4. Let k be ((162\/(-48))\/3)\/((-12)\/(-16)). Which is the closest to -0.1? (a) j (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77648 rounded to the nearest one thousand?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = 2*v + 71. Let z = -62 + v. Is z a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00506744 to four decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**2 + 0*p**2 + 2*p**2 + (-p + 3 - 3)*(-2*p + 1 - 1) - p**2 - 5*p + 4 + 7*p - p to t + v*p**2 + z*p and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -6\/5 (c) 4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -152227947743+0.7\nAnswer: -152227947742.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6410498987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-5 - -4)*2). Let c(i) = i**3 + i**2 + 2. Let a be c(r). Suppose 0 = -t + a - 0. Solve -j + 6 = t*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17382 + -6954. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 10 (c) 2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 418.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -54 (b) -132 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**4\/4 + 10*k**3\/3 + 3*k**2 + 16*k. List the prime factors of n(-8).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12. Let j = 3 - m. Calculate the remainder when 0 - (-6)\/9*15 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7730676g in nanograms?\nAnswer: 773067600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -42*s**2 - s + 124*s**2 - 42*s**2 - 39*s**2 + 1. Let u(n) = -n**3 + 5*n**2 - 2*n + 5. Calculate 5*o(k) - u(k).\nAnswer: k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1893979*m + 20*m**2 + 1893813*m - 3787792*m.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**7\/14 - 59*c**6\/30 - 2*c**4\/3 + c**3\/3 + 27*c**2\/2 + 6763*c. What is the third derivative of v(t) wrt t?\nAnswer: 180*t**2 - 1416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((-5 + sqrt(17) + sqrt(612)*-1 + sqrt(17))**2 - (-4 + sqrt(17) + 0 + 4)).\nAnswer: -5346 - 702*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1110000011111001110011?\nAnswer: 1110000011111001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r - 18. Let t be a(-6). Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 4, l: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(2\/11)*x)\/x)*x**1)\/(x**(1\/4)*((x**(4\/3)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(79\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1044)\/(-8)*33*(-34)\/(-5049)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 90 = -8*l. Solve -2*s = -5*b - l, 6 = 2*s - b - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 378*s**2 - 9 - 401*s**2.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82950522?\nAnswer: 2, 3, 37, 491, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248865 is divided by 669.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601243 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166492, -166498, -166504, -166510, -166516?\nAnswer: -166522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*g = 26, -9 = 2*w - 3*g + 14. Let a(n) = n**3 + 2*n**2 + n + 1. Let k be a(-2). Find the common denominator of (w\/6)\/(k\/7) and 113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 155*j**4\/2 + 31*j**3 + 40*j - 6. What is the second derivative of g(s) wrt s?\nAnswer: 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93192 and 22103448?\nAnswer: 243137928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2580*w. Let m(r) = -r. Give 6*k(i) + 14190*m(i).\nAnswer: 1290*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 129*t + 4. Let s(o) = 43*o + 1. Let i(l) = 4*d(l) - 11*s(l). Let c be i(-3). Let v = c - -335. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 2\/9, 106, 3 in decreasing order.\nAnswer: 106, 3, 2\/9, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h. Let o(d) = -28*d**2 - 2*d + 5. What is -i(m) + o(m)?\nAnswer: -29*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 + 20.4. Let l = 16 - g. What is the closest to -0.1 in 5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1 + 1 - 3 + b + 0. Let a be x(5). Suppose -a*j + 0*g + g = -7, -5*g = -15. Sort 0, -2, j.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -39*f + 89. Let z be v(6). Let b = z - -195. What is the smallest common multiple of 5 and b?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 3*h - 2. Let f(q) = q**3 + 16*q**2 + 17*q + 34. Let t = 88 - 163. Let w = -90 - t. Let j be f(w). Calculate s(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 56 - 114 = 0. Suppose r = 3*k - 1, -2*r = -0*r + 4*k - 38. Let j = a - r. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:55 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2\/3)\/((-15)\/20).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11\/(o*(o*o\/(o\/(o*o**(-1)))*o)\/o))\/(o*o**(-2\/3)*o)**40 assuming o is positive.\nAnswer: o**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = -8. What is the remainder when ((-180)\/(-16))\/(1\/l) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*c**2 - 9 + 54*c - 2 - 98*c + 41*c to the form w + m*c + g*c**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 30*v + 31. Let x be n(20). What is the greatest common factor of 33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 1211849242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**4 + 3*i - 2. Let k(t) = 2 + 3*t**4 + 0*t - 2*t - 3*t**4 + 7*t**4. Let y(u) = -6*k(u) - 4*l(u). Differentiate y(j) wrt j.\nAnswer: -72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + (2*sqrt(171) - sqrt(171))*3 + sqrt(171))*-2)\/(5*(2*sqrt(441) + sqrt(441))*3).\nAnswer: 4*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 1. Let n(z) = 2*z**3 + 4*z - 2. Let k be 315\/450 + 6\/20. Give k*n(g) - 2*t(g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 93*l**2 - 34*l - 55. Let p(d) = -46*d**2 + 16*d + 27. Let g(m) = 3*o(m) + 5*p(m). What are the prime factors of g(-4)?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrddrrrr. What is prob of sequence rd?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/13, 0.35, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5630*a + 2184 = 5903*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13 = -4. Suppose 0 = -4*n + 3*j - 15, -5*n - 4*j = -10 - 10. Suppose -3*s = -n*s - 9. Solve -2*p = c + 3, -3 = s*p - 2*c - v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22846 + 22846.00031207. Round j to 6 decimal places.\nAnswer: 0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.55725us in days?\nAnswer: 0.000000006916171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 4 + 4.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 6 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 1\/2*p**4 - 3*p - 2 - p**3 - 3\/2*p**2. What are the prime factors of x(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 10*f = -11*h + 33 - 5, f = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*z - 5761990, 4*z - 10*c + 13*c - 4609606 = 0. Round z to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -74. Let p(n) = 53*n**2 + 8*n - 32. Is p(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.019 + -0.119. Which is the closest to -1? (a) 0.2 (b) z (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 6*x**2 - 6*x - 24. Let n(a) = -a**3 - a**2 - a. Let p(k) = -6*n(k) + w(k). What is the first derivative of p(q) wrt q?\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (10 - (-14 + 13)) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.8 - 46. Let t = v + 3.2. Let h = 73.2 + -73. What is the closest to 1\/3 in 5, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05272900177 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 570, 662, 828, 1068?\n\"Answer: 37*m**2 - 19*m + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -a + 5*o, 8 = -3*a + 2*a - 3*o. Let k(h) = 3*h + 3. Let c(d) = 16*d + 16. Let f(y) = 2*c(y) - 11*k(y). Let u(z) = -5*z - 8. Give a*u(w) - 6*f(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 - 18*b - 12. Let s be n(-8). Let q = s - 76. Let f be q\/(-2 - -4 - 3). What is the highest common factor of 56 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z - 26. Let p(m) = -14 - 11 + 0 - 19 + 53 - 3*m. What is -17*p(a) - 6*x(a)?\nAnswer: 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 - 22 = 0. Calculate the remainder when 2\/2*9 + -2 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -715*s**5 - s**2 + 25*s wrt s.\nAnswer: -42900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/24)\/1*2262\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -149*m**2\/2 - 196*m + 26. What is the first derivative of a(h) wrt h?\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*-1*sqrt(28)\/sqrt(4)*-1 + (-5*5*2*(sqrt(175)*-1 + sqrt(7)))**2.\nAnswer: 20*sqrt(7) + 280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -4783?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/694550 and -82\/3125475?\nAnswer: 6250950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767387215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.099 - -0.099. Which is smaller: t or 190?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611673203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -2440321242?\nAnswer: -2440321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 239762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from gonnoouccccnncgnunnu?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eset when four letters picked without replacement from {y: 1, s: 1, a: 1, e: 2, t: 1, m: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 46. Suppose 2*x + q = -0. Let g = -7 + 7.1. Which is the nearest to g? (a) x (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/36)\/((-3)\/8). Let 2*d - 4\/3 - 2\/3*d**o = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -41. Sort b, -0.5, -2\/7 in decreasing order.\nAnswer: b, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139362 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*h**3 + 4*h**2 + 3*h**2 - 7*h**2.\nAnswer: 115*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -83 and -0.915?\nAnswer: 82.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 37055 (base 10) to base 16\nAnswer: 90bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -74*h + 249 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1208 - -1245. Calculate the remainder when 84 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.081 * 1.5.\nAnswer: -0.1215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713662531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -304.\nAnswer: -21\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5000770554 to the nearest integer?\nAnswer: 70716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 - 0.22. Suppose 6*w - 7*w + 105 = 0. Let m be -3*56\/w*2\/4. Which is the closest to o? (a) m (b) 3\/11 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -495, -462, -441, -438, -459, -510, -597, -726?\n\"Answer: -a**3 + 40*a - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w*w**(-9\/2)))*w)*w*w\/(w*(w**(-3)\/w*w)\/w*w))\/((w*w*w**6)\/w**(-2)))\/(w**(4\/9)*(w**(1\/7)*w*w)\/w*(w\/w**(1\/2))**(-4\/11)) assuming w is positive.\nAnswer: w**(-5413\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/7 (b) -1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwkwwwwwwwwwwww.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.238 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*n + 10 = 0, -f - 4*n = -5*f + 8. Find the second derivative of -4*u + u - u - u**5 + f*u wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/(-15))\/((-10*((-234)\/(-90))\/(-13))\/18).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2. Let r(n) = -6*n - 4*n - n. Determine r(g(k)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + -5 + -6 + -1 + 454 + -2. What is the smallest value in -3, a, 2\/11, -0.3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + s - 19 = 0, -v + 5*s - 49 = 2*v. Let y = 21 + v. Let j(w) = -w**2 + w. Let q(h) = 2*h**2 - h. Give y*q(a) - 3*j(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrr when three letters picked without replacement from {a: 3, w: 2, r: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-8) + (-5)\/(-2). Suppose -2*t = 3*w - w, -5*t = 4*w. Let g = t + 0. Solve -3*u + 8 - c = g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -7\/3*q**3 + 1\/24*q**4 - 11*q**2 + 0*q + 0. Let g(o) = -o**2 - o. Let h be g(0). What is m(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 161*j + 755. Let f be o(-5). Solve -3*v - 9 = -8*g + 10*g, f = -g - 4*v - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -39. Suppose -3*r + 2*w = 4*w + 86, -3*r - 3*w = 84. Let a = 76 + r. Calculate the remainder when a is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:41 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*a**2 - 3*a**3 + a + 4 + 24*a**2 - 1 in the form m + d*a + f*a**3 + v*a**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 14*j**2 - 14*j - 12. Let n be m(15). Solve 6 + 0 = -n*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 t when three letters picked without replacement from tttttititiii?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -512 + 236. Let m = w - -428. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.13 and 4478688.\nAnswer: 4478688.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676255 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**5\/19 + 58*p**4\/19 + 26*p**3\/19 - 28*p**2\/19 = 0.\nAnswer: -14, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/91)\/(78\/91).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 13*d + 12 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -996975 to the nearest one thousand.\nAnswer: -997000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58207193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:12 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o = 22*o - 47*o + 117 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1043455.73 from -436032.\nAnswer: 607423.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*d + 70 = 0, 4*n - 6*n - 3*d + 24 = 0. Solve f + n = 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:04 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 9*z**2 + 7. Let o be l(-9). Let u = 9 + -8. Let d be -1 + 4 + u + -2. Solve 10 = o*a - d*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.241 + 20.741. Let n = 0.24 + 0.86. Which is the closest to 4? (a) -4 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*4\/(-48))\/(-2*9\/324)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*l**2*q**2 + 1672611*c**2*l*q**2 - 2*c - 4*l**2*q**2 - 92245*l**2 wrt c?\nAnswer: -2*l**2*q**2 + 3345222*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyveyyyre. What is prob of sequence eyr?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.09 (b) 3\/8 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 28\/3. Let c*s + 0 - 1\/3*s**2 + 1\/3*s**4 - 1\/3*s**3 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 + 960*w**4 + 58975*w**3 + 1168560*w**2 + 2786940*w - 4015440 = 0. What is w?\nAnswer: -78, -33, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 2135*u**2 + 948373*u - 2813. Calculate z(-1405).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 196*h**3 - 388*h**2.\nAnswer: -h**2*(h - 194)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102122 - -21012?\nAnswer: -12011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 32105865?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/191? (a) -4\/3 (b) -13 (c) 75 (d) 0.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162697587 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/2 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 923063 and 2416.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584040143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129224 is divided by 64035.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1012100 to the nearest 10000.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**7\/15 - 29*g**6\/30 + 481*g**5\/30 + 172*g**4\/3 + 52*g**3 - 39*g**2 + 15*g. Let l(i) = 0. What is i?\nAnswer: -13, -1, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*j + 12, 0 = -5*h + 2*h + 5*j + 7. Suppose -1134*p + 178*p - 463*p + 2789 + 49 = 0. Solve -p*v = 2*v + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80798 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047456983 rounded to 5 decimal places?\nAnswer: -0.04746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37.1 * 3\nAnswer: -111.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/4 + 18265411*q\/4 + 1826541\/2.\nAnswer: (q + 3653082)*(5*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = -4*k + 10, 2*c + 16 = 3*k. Let b(w) = 2*w**2 + 3*w + 5. What is b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/112*4)\/((-1)\/(-4)). Let m = -1 - -2. Let f = -3 + m. Which is the closest to 0.1? (a) l (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(-3 + -6*(sqrt(176) + -1 + sqrt(176) + -1)))**2.\nAnswer: -1248*sqrt(11) + 25513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -h - 18, 0 = -0*h + 5*h + 5. Let o = 109 - 219\/2. Which is bigger: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + c**2 + c - 2. Let b(r) = -3*r**3 + 5*r**2 + 4*r - 9. Let j(h) = -b(h) + 4*y(h). Let i be 2\/(-6) - (-32)\/24. Give j(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*v - 267*v + 57316 = 291*v - 23*v for v.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = -38*f, 18*n - 13*n = 2*f - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*b = -1 + 4, -3*n - 4*b = 0. Solve 45 = -n*z + 5*u, 3*z + u = -z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 521219 and 2368?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8) - 3\/(-4). Suppose -2*n - 3*n + d - 10 = w, -n - d = -4. What is the tens digit of ((-3)\/n)\/(-1) + 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 11*d**2 + 19*d + 8. Let w be g(9). Let q(m) = -5 + 3*m**2 + 9 - m**2 - w*m + 8. Does 9 divide q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0 (c) 3\/4 (d) -14\/9 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5374395 by 3.\nAnswer: -1791465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-2)\/18). Let y be (p*1\/33)\/(-1). Suppose -g + 4 + 2 = s, 13 = -2*s + 3*g. Is s bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:53 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-4\/3)*b*b)\/(b*b*b*b*b**(-10)*b*b*b) assuming b is positive.\nAnswer: b**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-9)\/24). Suppose -h = -3*h - l. What is the units digit of h*(-1 + 3)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 56) + 49 + 1 + 0 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36005 and 4180.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d - 19. What is f(-9)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*h = -31, 4*r - h - 11 = 8. Let s be r + -5 + 2\/5. Suppose d = 2*d - 1. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.851272mm in micrometers?\nAnswer: 1851.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbdbxvvaxan. What is prob of sequence bva?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 7. Let b = -0.3 + -0.2. Let f = b - 3.5. Sort h, 2\/15, f.\nAnswer: f, h, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/60 + 3*p**4\/8 + p**3 + 3*p**2. Let v(x) be the first derivative of q(x). What is the derivative of v(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(1 + 28\/(-16)). Put 1, s, -2 in descending order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 103*t**2 + 287*t + 2. Give c(-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 - -11 - ((1 - -6) + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -112. What is the hundreds digit of 201\/6*6\/w*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-668)\/(-660))\/(3\/30). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10242 + 10247.009. Let t = 9 + -4. Let m = t - d. What is m rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423469481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**21\/g*g)**(-1\/12)\/((g**26*g)\/((g\/(g*g**(16\/9)))\/g)))**38 assuming g is positive.\nAnswer: g**(-10811\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) 7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*c - 28 - 2, 286 = 10*h - 18*c + 318 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21286910.\nAnswer: 2, 5, 1019, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 1, o: 1, j: 1, x: 2}. What is prob of sequence xjk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33344?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*d. Let v(z) = 9*z**3 - 1. What is the least common multiple of v(d) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**2 - 713. Let b(a) be the third derivative of -a**4\/8 - 5*a**2. What is u(b(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-5)))\/(t*t*t*t*t**(-5)*t))\/(t*t*t**(2\/15)*t*t\/t**0) assuming t is positive.\nAnswer: t**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + c - 5 + 7 = 0, 0 = -5*b + 2*c + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqkf when four letters picked without replacement from rkddqkdkfqddqkd?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1019*i - 1039*i + 159*i + 12*i in the form a*i + s and give a.\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*k + 1, 3*n + 7*k - 4 = 8*k. Sort 8, n, 2 in ascending order.\nAnswer: n, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 96*c + 29 - 673 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 240*j - 8316. Let b be i(-42). Is -3208 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51327799, -51327791, -51327771, -51327733, -51327671?\nAnswer: -51327579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -19773\/10?\nAnswer: -19773\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/9 + (-124)\/(-12). Let w(s) = 20*s + 11. Let r be w(k). Suppose 2*i - i - r = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14979*c**4*r**3*t**2 + 4*c**4*r**3 - 3*c**2*r**3 - 184*c**2*r**2*t - 2*c**2*r*t + 5*c*r*t**2 - 2*t**2 wrt c?\nAnswer: 359496*c*r**3*t**2 + 96*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**4 - 4*q**2 - 71*q*z**2 - 412*z**2 wrt q?\nAnswer: 12*q**3 - 8*q - 71*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1887799528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3 + 5 + 10*t - 3 - 4. Calculate y(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6. Let b(m) be the second derivative of m**5\/20 + 2*m**4\/3 - 4*m**3\/3 + 9*m**2\/2 + m. Suppose -6*i = 150 - 96. Let d be b(i). Give a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f - 14. Calculate w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/30 - g**3 - 2*g**2. Let l(v) be the first derivative of -v**2 - 664. What is l(u(k))?\nAnswer: 4*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008241348 to 5 decimal places.\nAnswer: -0.00824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 4*z. Let k be o(4). Let u(l) = 33*l - k*l + 1 + 0. Let t(i) = 6*i + 5. Give 3*t(s) - 15*u(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -833936 by -208484.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1526.4, -18, -228, 4?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and 1473288934561.\nAnswer: 1473288934600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6 - 2)*0. Let k = m + -3. What is the remainder when 24 is divided by 64\/12 + 0 + k\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*v + 43*v**3 - 75*v + (-3*v - 4*v + 4*v)*(v**2 - v**2 - 2*v**2) - 4*v**3 + v**3 + v**3.\nAnswer: 47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*v - 8*v**5 - 11*v - 11*v + (-192*v**3 - 44*v**3 + 10*v**3)*(-2*v**2 + 0 + 0).\nAnswer: 444*v**5 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140.9 + -141. Let r be 48\/(-160)*8\/6. Let w = 0.02 - 1.02. What is the nearest to j in r, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13211\/(-1188) - -10) + (-1)\/(-2) and -113\/470?\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -106 - (-4750 - -4723)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x + 12. Let u(n) = -3*n - 3. Let a(p) = 2*g(p) + 9*u(p). What is the units digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 1 + (-5 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69748599 is divided by 669.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h**2 - 75*h - 99 = 0.\nAnswer: -1, 33\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:23 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 4, 5, -1, -345 in increasing order.\nAnswer: -345, -1, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(567))**2 - (sqrt(7) + (sqrt(448) - (sqrt(448)*-2 + sqrt(448) + sqrt(448)))**2) - ((sqrt(35)*-2 - sqrt(35))*2)\/sqrt(5))*5.\nAnswer: -65*sqrt(7) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((81\/2)\/3)\/(113\/(3616\/(-16)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/18 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.877888l in millilitres?\nAnswer: 6877.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -225, -236, -247, -258?\n\"Answer: -11*z - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - 0) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 33. Let u be t(9). Let m = -60 - u. Solve x = -m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 13.5. Let f = -1.1 + k. Suppose 0 = 159*j - 171*j + 24. Which is the nearest to j? (a) -2 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -4. Let q be (-224)\/(-40) - (-6)\/(-10). Suppose -q*h = -v*l, 3*l + 4*h - 23 = 12. Let x(b) = b + 2. Calculate x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 1:10 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.3049 - 0.0049. Let q = 30 - k. Let y = q + 0.29907. What is y rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -508.9 + 503.9. What is the second biggest value in -0.5, 3, 0.06, k, -1.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*h**3 + 968*h**2*t**2 + 20*t**2 - t - 857 with respect to h.\nAnswer: 60*h**2 + 1936*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 837880662 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hks when three letters picked without replacement from {l: 2, k: 4, h: 3, s: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l**3 - 2 + 22*l**3 - l**2 - 9*l**3 + 30*l to the form t*l**3 + j*l**2 + z + x*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 125*g - 2341. Let l be d(23). What is the second biggest value in l, 20, -1, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 768801*x + 197018325867\/2.\nAnswer: 3*(x + 256267)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-20) + 319\/4. Let m be (-2215)\/28 + 6\/(-8). Let y = m + w. Sort -0.4, y, -1.\nAnswer: -1, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4372318?\nAnswer: 2, 19, 115061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70312.914ns in days?\nAnswer: 0.000000000813806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000452253311 rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187 - -191. Solve a*y = -4*o + 4, 5*y - 5 = -2*o + 2*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 38, 51, 70, 95, 126, 163?\n\"Answer: 3*b**2 - 2*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 32 - 1)*(4*s + 5 - 5) - 4*s - 5*s - 11*s in the form y + r*s and give r.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1869 - 0.4.\nAnswer: 1868.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + (3 - -1). Suppose g + 60 = i*w, -45 = -3*w + 6*g - 2*g. What are the prime factors of (16\/(-10))\/((-6)\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 5.945 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 = 1. Let g = 3.5 - 3. What is the nearest to 0 in g, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -62, -30, 14, 76, 162, 278, 430, 624?\n\"Answer: v**3 + 25*v - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1326573*o**3 - 11*o + 40555660?\nAnswer: -3979719*o**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 i when three letters picked without replacement from {i: 10, j: 1, v: 7}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 42. Suppose -2*q + 4 = -d, 2*q + 5*d - 22 = -2*q. Suppose m - q*m = -8. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 7. Suppose 0 = 2*g + k + 3. Let y be 495\/(-125) + (-4)\/100. Sort -5, y, g.\nAnswer: -5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5451, -6859, -8267?\n\"Answer: -1408*z - 4043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.4620084 to 2 dps.\nAnswer: 32.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 4*q - 2*q + 1. Let i(z) = -2*z**3 - 2*z**2 + 3*z - 3. Let u(x) = -3*a(x) - i(x). Factor u(p).\nAnswer: 2*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*k + 6 = 0, -21 + 23 = k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - z + 20 = 0, -t - 4*z + 20 = 0. Solve -5 = t*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10492.\nAnswer: 2, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/36 - 86\/(-18). Suppose -c*w + 17 = -2*w + 4*p, -w = p - 5. What is the units digit of ((-2)\/(-3))\/(2\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*w - w - 36, 0 = 3*w + 6. Let r = 3644.3 - 3649.3. Which is the third biggest value? (a) 0.3 (b) m (c) 5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 2. Let w be (-4)\/(-14) + 6\/(-21). Suppose i + o = -w. Sort 0, -3, i in ascending order.\nAnswer: -3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/42 and 19\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 2\/(-3)*-6. Sort 17, 1, l in decreasing order.\nAnswer: 17, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*q - 7*q - 1, 8 = 4*x + 4*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*d + (1 + 1 - 4)*(727*d - 359*d - 366*d + 1404).\nAnswer: -2*d - 2808","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 884*z**4 - 817*z.\nAnswer: 10608*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 468 + -464. Let s(m) = 54*m - 24. Let q be s(y). Is q > 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744487340.5 rounded to the nearest 100000?\nAnswer: 744500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 13) to base 16.\nAnswer: -5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 7. Let i be s(-10). Let n = 14 + i. Let t be (1 + 3\/n)\/(-1). Solve 3*k + t*k - 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 10126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 29*u - 8126 = 24*u, 5*q = -3*u + 13570. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 902215683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufxifiuffuk. Give prob of sequence fi.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 + 3*s**4 - 92521*s**2 + 2*s - 353794 wrt s.\nAnswer: -20*s**3 + 36*s**2 - 185042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 625271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -10e9d2?\nAnswer: 10e9d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z + 262. Let y be p(-43). Suppose -5*h - 11*j = -7*j - 26, j - 23 = -y*h. Solve 5 = k + h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 639*m**2 - 4*m**4 + 2*m - 5*m - 155*m**6 + 1786*m**2 + 5*m - 4208*m**2 wrt m?\nAnswer: -18600*m**3 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/7 + 123*y**3 - 179775*y**2\/7 - 2083037*y\/7 = 0. Calculate y.\nAnswer: -11, 0, 409, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -1, -6, 4, 2\/7?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -955.2042011?\nAnswer: -961.2042011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22 (b) -0.5 (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7138919 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 6. Suppose 0 = -2*m - s*m - 36. Does 9 divide (-83)\/(-9) + 2\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -54, 4, 2\/177, 3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16339 + 30714. Let o = y - 201147\/14. Calculate the common denominator of 18\/(-33) + 8897\/(-770) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(125)*-4 + -5)**2 + ((sqrt(5) - sqrt(15)\/sqrt(3))*-2 - sqrt(135)\/sqrt(3))**2.\nAnswer: -1000*sqrt(5) + 50070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 6*sqrt(171)*1)\/(sqrt(324)*1).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(5103))**2 + sqrt(3087) + sqrt(3087) + 2.\nAnswer: 42*sqrt(7) + 45929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/(5\/2930) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + q**4 - 6*q**4 + (-q**3 + 2*q**3 + q**3)*(-q + 2*q - 2*q) + q + q**4 - q + (-3 - 7 + 1)*(5*q**4 + 3*q**4 - 3*q**4).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 59380877?\nAnswer: -59380876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/5 + 2*b**2 - 12*b\/5 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 3*s - 13, -649 = 4*b - 4*s - 653 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2577\/(-9))\/((-3)\/9) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026663.\nAnswer: 3, 11, 53, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/5 - 58526*o**3\/5 - 46816*o**2 - 234072*o\/5.\nAnswer: -2*o*(o + 2)**2*(o + 29259)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/847 - -44879\/5082. Find the common denominator of v and ((-2)\/5)\/(20\/1925).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*1*-5)\/(sqrt(22)\/sqrt(2)*2) + 4.\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*z + 8*z + 5*k, -4*k + 20 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4b (base 12) in base 10?\nAnswer: -1499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44327240 divided by 11081810?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + 11. Let c = w - 344. Let v = c + 260. What is v rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/44 - (-291)\/(-33). Is 28 a factor of (-221)\/(-3) - (-6)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -4, -114, 4 in decreasing order.\nAnswer: 4, 0, -4, -7, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 - 3*t - 4. Let z be w(-3). Is z - -2 - 3*-53 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270915.2 millennia in centuries?\nAnswer: 2709152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3288153.725 to the nearest ten thousand.\nAnswer: 3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/4 - 38*j**3 - 90*j. Factor x(r).\nAnswer: -3*r*(r + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 22. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*u + 24 = -0, -f = u + 3. Solve 3*l = -2 - f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and 1.1?\nAnswer: -69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 14, 5, 3, 1 in descending order.\nAnswer: 14, 10, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 10, 19, 32?\n\"Answer: 2*v**2 - v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 - 146*i**4 - 146*i**3 + 2610*i**2 + 2214*i - 7992 = 0 for i.\nAnswer: -3, 3\/2, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**3 + 7*m**2 + 3*m + 2. Let j = -29 + 89. Let f(p) = -5*p**3 + 0*p**3 - p + j - 61 - 3*p**2. What is 3*d(l) + 7*f(l)?\nAnswer: -2*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l)**(-35)\/(l*l**(-1))**(-16\/9)*l**2\/(l*l*l*l**(-2\/13))*(l*(l\/(l\/l**(-2))*l*l)\/l)\/(l*l**(-3)) assuming l is positive.\nAnswer: l**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6604 - 6592. Solve -2*j + 22 = 5*a, -t*a + 9*a = j - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**3 + 11*u**2 - 7*u - 8. Let a(x) = 3*x**3 + 5*x**2 - 3*x - 4. Let s(w) = -5*a(w) + 2*f(w). Let n be s(-3). Solve y + 2 = -n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 + 3*k + 5 + k**3 + 7 - 9. Let g be x(-5). Is (-8610)\/g - 2\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:08 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*z = 343, 3*u - 4*z - 1332 = -u. Suppose -u = -3*o + 4*v, 4*o - 6*v - 438 = -v. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4\/5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m**2 - 154*m + 8. Is 25 a factor of g(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71273 and 286176.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 12789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/40 + q**5\/10 - 2*q**2. Factor z(n).\nAnswer: -3*n**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2, 3 in descending order.\nAnswer: 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**3\/6 + 7*j**2\/2 - 7*j. Let p be w(6). What is the greatest common divisor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 7*q - 182*q**2 - 38*q**2 - 1 - 70*q**2.\nAnswer: -290*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 5*a - 19 = 0, -11 = 1707*t - 1704*t - 4*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/3 - 1826*z + 5479\/3 = 0. What is z?\nAnswer: -5479, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1\/5, 4\/11, -1\/14916, -1\/3, -1\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(4 + 2289\/(-573))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2709065 milligrams?\nAnswer: 0.0002709065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 23*y**2. Let h = 34 - 34. Let v(j) = h*j**2 + 9*j**2 - 10*j**2. Determine b(v(s)).\nAnswer: 23*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 13 = 4*q + 2*o, -o = -4*q + 42. Suppose 0 = 6*g - g + q. Is g greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 + 5*a**2 - 6*a - 13. Suppose 4*f - c - 2 + 29 = 0, 0 = -4*f + 3*c - 33. Is l(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7096*g - 4746 wrt g?\nAnswer: 7096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0829 (base 12) in base 9?\nAnswer: -378456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 3*b**2 - 2*b**2)*(-1361 - 121 - 78 + 165 - 456).\nAnswer: 1851*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 23412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x - 110 - 230. What is the thousands digit of 1076 - -5*(-8)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239 by 1.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/20 - 5*x**4\/12 - x**2\/2 - 12*x. Calculate g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98.36 + 102. Let i = 1.36 + g. What is the closest to i in -4\/7, -0.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 596.177 - 596. Let k = u + -0.158. What is k rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/15 (b) 1\/191 (c) -0.2 (d) 1\/5 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11110010122021101?\nAnswer: 11110010122021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Let u(p) be the second derivative of 3*p**5\/20 - 7*p**4\/4 - 17*p**3\/2 - 27*p**2\/2 - 1342*p. Factor u(h).\nAnswer: 3*(h - 9)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*q - 21, -10 = 3*v - 1. Let w(g) = q*g - 6*g + 2 + 12*g. List the prime factors of w(2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/3 - 2184*l**2 + 43934*l - 125248\/3 = 0 for l.\nAnswer: -3296, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.1 - 5. Let i = 2 - 1. What is the second smallest value in i, 3, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 9*x**2 - 2*x + 22. Let d be r(9). Suppose 8 = 2*m + d. Suppose -95 = -0*s - 3*s - m*c, 0 = 2*s - 4*c - 74. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9401.74l to millilitres.\nAnswer: 9401740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-40)*-4)\/((-390)\/(-624))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-164)\/372414)\/(8\/125862). Let k = a - 3\/8867. Find the common denominator of k and 4 - (3 + (-84)\/(-32)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-21)*(-546)\/26.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 2*i + 3. Let r be u(0). Solve -f + 4*c - 11 = 0, -r*f - 2*c = -6*f - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:38 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**3 - 5*w**2 - w + 2. Let y(t) = 49*t**3 + 40*t**2 + 8*t - 17. Let f(z) = -51*s(z) - 6*y(z). Determine g so that f(g) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*z**4 - 13*z**3 - 228.\nAnswer: -92*z**3 - 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:57 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*t - 138*t + 192*t.\nAnswer: 425*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13151212?\nAnswer: 2, 3287803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 880, 1320, 1760, 2200?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 18*j**2 + 4*j - 67. Let g be z(18). Let n = 0.05 - 0.55. What is the fourth biggest value in g, n, -4, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*s + 6 = 0, -3*n + 0*n + s + 6 = 0. Suppose n*r + 4 = -0. Sort 2, 1, r, 5 in descending order.\nAnswer: 5, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6383 and 34.6.\nAnswer: 220851.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**3\/f))*f*(f**(-3\/10)\/f)\/f)**42*(f\/((f\/((f*f**(-3))\/f))\/f))\/f**(-7)*f**(-1)\/(f*f\/f**(-5)) assuming f is positive.\nAnswer: f**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351131 and 2796.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 11*h**2 + 49. Is 2 a factor of f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 (base 10) in base 6?\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297440960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14*j. Let c(n) = -4*n**2 + 248862*n - 3. Give c(x(w)).\nAnswer: -784*w**2 - 3484068*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((23\/230)\/(1\/6))\/((-9)\/(-5))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/22 and -37\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26914 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -98*n - 3. Let k(w) = -w + 10. Determine -i(c) - k(c).\nAnswer: 99*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13254 - 13188 + 2*w + 26561.\nAnswer: 2*w + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.2 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.59 + 0.41. What is the third smallest value in g, -0.5, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*o - 2*o, -3*o + 2319 = 3*v. Suppose 12*n = 6*n + v. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13265, -26527, -39783, -53033, -66277, -79515, -92747?\n\"Answer: 3*b**2 - 13271*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78566*z - 78559*z - 43498 = 0. What is the highest common factor of 39 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 181?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -11, -7, -71, -139, 3 in ascending order.\nAnswer: -139, -71, -11, -7, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - 16*z. Let a be b(-4). Suppose -35*j + a*j + 7220 = 0. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 4, a: 2, y: 3, x: 1}. What is prob of picking 1 a and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 656237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 7. Calculate the remainder when 37 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 12 = 2*u. Let a(d) be the second derivative of d**2 - 1\/12*d**4 + 0 - d + 1\/6*d**3. Give a(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 + 127. Let f = d - -51. Solve f = -3*j + 14 - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/((-80262)\/1755)*(-42)\/(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 6.6. Let i = p - -7. Suppose 24 = -4*o - 4*m, 5*o + 2*m + 36 = 12. Which is the third biggest value? (a) 0 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 1. Let y(o) = -3*o + 1. Suppose -p + 5 = 2. Suppose 0 = 5*u - p*s - 3, 2*s - 1 = 3*u - 3. Suppose u = 2*z + 4 + 4. What is z*y(r) + 5*l(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3896\/3 + -1298. What is the closest to 1 in c, -0.17, 2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51259 (base 10) to base 3.\nAnswer: 2121022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*l**2 + 11159*l + 55*l**2 + 38*l**2 - 11159*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516173.2 decades to years.\nAnswer: 5161732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 7*c**2 + 7*c - 9. Let n be i(3). Let l be n + 8\/(-4)*-1. Solve -4*u - l*q = 27, 5*u + 2*q + 32 = 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(52\/44 - 1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*p - 4*p - 19*p + 22*p - 1)*(-19 + 42 + 18) in the form m*p + n and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 112\/32*(-48)\/(-28). Suppose u*w = 12*w. Solve -2\/7*d**3 + 0 + 0*d**2 + 1\/7*d**5 + w*d**4 + 1\/7*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -1.8.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -47*f**2 - 716*f - 165. Let t(w) = 120*w**2 + 1792*w + 412. Let p(n) = 5*t(n) + 12*x(n). Factor p(v).\nAnswer: 4*(v + 10)*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**22))\/(b\/b**(-3\/13)) assuming b is positive.\nAnswer: b**(270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/39 - 60\/(-585). Which is the fourth biggest value? (a) 8\/7 (b) 1 (c) 0.8 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 35*s**2 + 55*s - 22. Is m(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/3 + 43608*z = 0.\nAnswer: -65412, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(2\/(-3)))\/(-1). Let s(a) = -9*a**2 - 5*a - 4. Let z(g) = 8*g**2 + 4*g + 3. Let y(v) = m*s(v) - 4*z(v). Suppose -8 = -5*t - 3. What is y(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 2 (c) 0.2 (d) 0.1 (e) -101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccczzcccczu. What is prob of picking 2 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 4*z - 8. Determine h(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -165, -8350?\nAnswer: -8350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/5 at most -73\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205764834?\nAnswer: 2, 3, 11, 61, 51109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762934525?\nAnswer: 5, 11, 83, 77237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) - 8\/(-32). Let x be (-4)\/(-10) + (-6)\/(-10). Which is bigger: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2 + 6 - 12) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-33) + 4\/(-22). Let l(j) = j**3 + j**2 + j - 11. Let z be l(o). Let k be 14\/8 + z\/(-44). Is 4 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9390 divide 1508484720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 12*c**3 - 4*c**3 - c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j**4 + 11359*j**3 + 2401359*j**2 - 277912999*j + 4334111470 = 0. Calculate j.\nAnswer: -559, 19, 730\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -m + 8868, 4*d - 14767 - 29573 = -5*m. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217206 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7767.8 - 7768. Let g = 166 - 494\/3. Suppose -6*y + 2*y + 25 = 5*b, y = 5*b - 25. Put g, l, -5, b in decreasing order.\nAnswer: b, g, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 9. Let p(f) = 2*f - 7. Let q be p(6). Suppose -k = -q*o + 436 - 9, -3*o = -m*k - 261. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z**2 + 8*z + 2. Let p be 19\/3 + 4\/6. Let t be x(p). Solve -2*q = -10, 4*q - 11 = 4*i + t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 1. Let g be 4\/3*(4 + 2). Suppose -2*x + g = 2*x. Let f(i) = -i**2 + 0*i**x - 2*i**2 + 4*i**2. Calculate -2*a(s) + 5*f(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.035+-166\nAnswer: -165.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14952 and 282493743?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2.55?\nAnswer: -0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-25)\/(-50))\/((-14)\/(-12) + -1). Suppose h*g - 6*g - 5*f - 13 = 0, f + 11 = -2*g. Let u(b) = -b - 5. Let j be u(10). Is g less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233 a factor of 16553229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69206, 142373, 215540, 288707?\nAnswer: 361874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*s + 12, 5*s + 7 = 2*m + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3218474327?\nAnswer: 227, 14178301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 + 4*k. Let m be n(4). Let w = -482\/5 + m. Which is the closest to -2\/5? (a) -1\/4 (b) 2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 9251746?\nAnswer: 27755238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/42 + u**3\/21 + 2*u**2\/7 - 19*u. Factor l(g).\nAnswer: -2*(g - 2)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q - 6 = -2*j, q = 0. Let s be -3 + j + 3 + 12. Suppose 3*f + s = 2*y, 0*f + 24 = 5*y - 3*f. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198\/(-6)*((0 - -3) + -12)?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79616 - 79615.999860134. Round q to 6 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417 divided by -139?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*c + 4*p, 3*c - 7*c = -5*p - 167. Let l be 28*(-92)\/c*-3. Let i = l + -113. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(19)*1 + -4 - (sqrt(931) + 0 - sqrt(19)) - ((sqrt(266)*-1)\/sqrt(7))\/sqrt(2)))*4)**2.\nAnswer: 384*sqrt(19) + 5008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 1 - 2*s - 1811*s**2 + 1813*s**2 - 4*s**4 as p*s**4 + f*s**2 + q + o*s**3 + y*s and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**21)**(-7\/12))**1 assuming r is positive.\nAnswer: r**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993094907 a multiple of 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159912*m**3*r**3 + 17*m**3*r**2 - 9*m**2*r**3 - 11*m**2*r + 2*r - 4 wrt r?\nAnswer: 959472*m**3 - 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 10. Let x(w) = w**3 + 12*w**2 - 15*w - 12. Let z be x(-13). Does 14 divide g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m. Let s(t) = 2*t. Let y(b) = 3*i(b) - 5*s(b). Let x = -112 + 111. Let k(j) = 6*j. Calculate x*k(f) - 2*y(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 + 0 = 0. Suppose -g = 5*b - 35, -g + 7 = b - c*g. Let q be -8*(2\/(-4) - 0). Solve 2*s = j + b, -q*s = 2*j + j + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 38*n**2 + 79*n - 40.\nAnswer: -(n - 1)**2*(n + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-3)\/(-6) + 4\/(-8) - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -688*d + 931. Is 127 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215.5206 millennia to years.\nAnswer: 215520.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1 + 2*w - 12. Does 14 divide x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**5 + 3*s**5 + 2*s**5 + (-s + 5*s - 2*s)*(2*s**4 + 0*s**4 - s**4) - 5*s**2 - 9*s**5 + 5*s**2.\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let u = -6 + d. Is -2 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1.5, -1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 730 - 5?\nAnswer: 72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 262 - 20. Suppose 0 = -3*g - 2*s + 90, g + 0*g + 4*s = 20. What is the remainder when l is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3652\/95 - 1422\/19. Let w = o - -1057\/30. Is 0 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*q - 34, -124 = q - 130. Let z(g) be the third derivative of 2\/3*g**4 + 0*g - 8\/3*g**3 - 21*g**r + 0 - 1\/15*g**5. Let z(o) = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022120 - 22?\nAnswer: -1022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 3512*c\/3 - 3514\/3.\nAnswer: 2*(c - 1757)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -22*z**3 + 12*z**2 + 38*z - 15. Is i(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.0245, 2\/3, 219, 29?\nAnswer: -0.0245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50*(2 - -1)\/(-3))\/(-1). Let v be 30\/g - 3\/(-5) - -181. Let z = 5971\/33 - v. Is z < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/5? (a) -2\/7 (b) 1225 (c) 0.5 (d) 0 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104 minus -0.375?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -26386.\nAnswer: -15\/26386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 22*i + 16. Let z(l) = -2*l - 77. Let t be z(-28). Let x be c(t). Let q = 3 + -5. Sort q, -10, x.\nAnswer: -10, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*k - 35 = 0, k = 3*f - 8*f + 29. Let u(d) be the third derivative of -d**5\/60 + d**4\/4 + d**3 + 2*d**2. Determine u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912771 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: Work out 2521 * 59348.\nAnswer: 149616308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*l + 1554, -7838 = -5*u - 7*l + 9*l. Does 43 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:55 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -3)*2\/(-6). Let p(s) = 3*s**3 - 2*s + 1. Let g be p(1). Let c be 234\/(-540) - g\/(-6). Is y < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 10 (c) -2\/341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y + 111. Determine v(-18).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/2 - 2*l**4 + 5*l**2 + l\/2 - 3 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/16)\/(3\/(-8)*19).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1282, -2\/7, 122, -3 in decreasing order.\nAnswer: 1282, 122, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*-3*sqrt(252)*-1 - 3*((2 + sqrt(252) + sqrt(252))**2 + -1)).\nAnswer: -18198 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 7*v**2 + 13*v + 1. List the prime factors of y(7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.423 rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8429*a - 128134*a - 32874*a.\nAnswer: -169437*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105861 and 798?\nAnswer: 4022718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*z + 7, 3*u + 5847 = 3*z. Let m = u + 3609. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/21540 and 47\/8257.\nAnswer: 495420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.95. Let k = 2.05 - p. Let f be 3\/(-10) - (-1)\/(-2). What is the closest to 0 in f, k, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 31*i**2 - 4*i - 8 + 30*i**2. Give n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 0.4, -22, 2\/1149?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a*a\/(a*a*a**(-1)*a)*a*a)\/a)**(3\/23)*(a*a**(1\/3)*a)**(2\/23) assuming a is positive.\nAnswer: a**(41\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = -2*c. Suppose u + 4*g = 16, 4*g + 0*g - c = -2*u. Let p = 619\/8 - 77. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 10*u + 11. Let a be 9\/(-6)*16\/(-12). Suppose a*s = -s + 33. Let t be z(s). Solve 6*m + 12 = -4*l + 2*m, 2*l - 4*m - 18 = t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28753?\nAnswer: 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*(-200)\/(-15). Let o = i - -13. Let q(p) = p**3 + 10*p**2 + 10*p + 8. Is q(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34 and 0.57.\nAnswer: 34.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffozzcczz. What is prob of picking 2 c and 1 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 443+-75751.97339\nAnswer: -75308.97339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 21. Suppose -3*m - 6 = -m + 4*d, -m - 5*d - s = 0. Solve -4*l + l - m = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 3, h: 1, g: 1, u: 1}. Give prob of picking 1 g, 1 j, and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 1:47 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 4 = 38 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12094, 12094, 12090, 12082, 12070, 12054?\nAnswer: 12034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172829498 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-343)\/(-252) + 8\/(-6). Let o(t) be the third derivative of -2*t**2 - g*t**4 + 0*t**3 + 1\/315*t**7 + 0*t - 1\/60*t**6 + 1\/30*t**5 + 0. Factor o(i).\nAnswer: 2*i*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 3, 0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*((f\/(f\/f**(-5)))\/f)\/f)**(-2\/25)*(f*f\/(f*(f\/(f*f*f*(f\/((f\/(f*f**(2\/7)))\/f))\/f*f))\/f)*f)**(-37)*(f*f\/(f*f\/f**0))\/f**(-6) assuming f is positive.\nAnswer: f**(-46083\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 2*w + 1. Let m be g(2). Let k be (m\/3)\/(1\/3). Let t(n) = -13*n - 5. Let j(c) = -7*c - 3. Let l(f) = 7*j(f) - 4*t(f). Give l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/5906208 and -121\/1428.\nAnswer: 5906208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -128*m - 117 - 14\/3*m**3 + 2*m**2. Differentiate x(y) with respect to y.\nAnswer: -28*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = -q + 1, 4*q + 20 = -3*d. Suppose -3*y - 4*h - 10 = 7, -y + 4*h + 21 = d. Solve 14 = -3*r - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - j - 11 = -3*j, 11 = -4*g - j. Suppose 2*p + 9 = 3*d, 0 = -0*d - d - 3*p - 8. Calculate the remainder when (-259)\/g + d\/(-3) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, -24, -333, 0, 5 in decreasing order.\nAnswer: 5, 0, -3, -24, -26, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(33)*1*5)\/((sqrt(77) - 3*sqrt(77))\/sqrt(7)) - (4 + (sqrt(54)\/(sqrt(6) + 1*sqrt(6)) - sqrt(9))\/sqrt(3))*-4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**21)**(-3\/13)*(a\/((a*a**19*a)\/a))\/(a*a*a**(-7\/8)*a*a*a) assuming a is positive.\nAnswer: a**(-2909\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2 - 44699*r + 3. Let b(m) = 19*m. Determine b(a(k)).\nAnswer: -114*k**2 - 849281*k + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -945, -2111, -3735, -5811, -8333, -11295, -14691?\nAnswer: -18515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2. Let o(r) = r + 3. Let k be o(-5). Let b(g) = -g**3 + g**2 - g + 1. Let t(f) = k*j(f) + b(f). Factor t(u).\nAnswer: (u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 15535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644910909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 12 = 54*g - 59*g, 10*w + 52 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296836 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: Sort -5\/24, 5, -5, 11, 0.3, -0.4 in descending order.\nAnswer: 11, 5, 0.3, -5\/24, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3)*-2*5\/50\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -11. Let y(n) = 0*n + l*n - 6*n**2 - 4*n**3 + 3*n**3 + 2*n**3 + 4. Let p be y(5). Let u(q) = 2*q**2 - q - 1. What is u(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4072*x**3 - 18491*x**2.\nAnswer: -24432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.45. Let m = -78 - 197. Let i = m - -270. Which is the second smallest value? (a) 1 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -5*w**3\/3 - 355*w**2\/2 - 1020*w + 4344. Determine j so that o(j) = 0.\nAnswer: -68, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(1584))**2 - (sqrt(66)\/(sqrt(96)*-3))**2.\nAnswer: 228085\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2 + 46810*d + 78693675 = 0.\nAnswer: -1455, 10817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 85*l. Let p(q) = -108*q + 13. Let i(u) = -50*u + 6. Let r(z) = -13*i(z) + 6*p(z). What is r(w(y))?\nAnswer: -2*y**2 + 170*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 7\/5) + 560\/(-100). Let v be 1\/(-4 - 27\/y). Solve -v = 3*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-12)\/(-54) + 4\/18.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1788.0757*-7.\nAnswer: -12516.5299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2 (c) -11 (d) 0.06 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 611, 1204, 1793, 2384, 2983?\n\"Answer: g**3 - 8*g**2 + 610*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 3*i + 2. Let p be y(-2). Suppose -2*q + 6*q = p*n + 2679992, 0 = q - 4*n - 669992. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 5*t)*(t - 2 + 2) + t**2 + 4 - 1 - 6.\nAnswer: -t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {w: 4, f: 11, u: 3}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 - 2108*a + 555458 = 0. Calculate a.\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/((147\/(-14))\/7)*609\/21721\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-8)\/12*(-6 + 5))\/(-2)) + 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 4*w + 3*w**2 - 4*w**2 + w**2 as p*w + l*w**2 + m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*i + 302*i - 1656 = -299*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 68 + 108 = -17*u. Let b(i) = i**2 + 9*i + 29. What is b(u)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3 and -41878.0757.\nAnswer: -41879.3757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2)*b)**(-7\/8))**(-20)*(b\/(b\/b**(-3\/11))*b*b**(-8)\/b*b)**39 assuming b is positive.\nAnswer: b**(-2350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - q**2 - 3*q**2 + (1 + 4 - 6)*(-1 + 1 - 2*q**2) + 3*q**2 + 2*q**2 - 4*q**2 + 513 - 12794 + 1379 - 3*q**2 - 3500 as o + g*q**2 + t*q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 18*b + 26. Let d(y) = y**3 - 12*y**2 - 4*y + 30. Let i be d(12). Let j be g(i). What is the highest common factor of j and 520?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 + (10 - 13)*4. Sort 3, 9, i, -3.\nAnswer: -3, i, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -13*g**2 + g - 1. Let w(f) = 117*f**2 - 17*f + 9. What is -w(m) - 8*z(m)?\nAnswer: -13*m**2 + 9*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*f**2 - 54*f**2 + 114*f**2 + (3 + 0 - 2)*(0*f**2 + 4*f**2 - 2*f**2) - f**2 + 3*f**2 - 3*f**2 as g*f + c + n*f**2 and give n.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25808 and 10582?\nAnswer: 273100256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**6\/360 - j**5\/120 - 11*j**4\/12 + 17*j**3\/3 - 3*j**2 + 3*j. Let r(m) be the first derivative of y(m). Calculate r(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 23*w**2 - 254*w - 6. Calculate the lowest common multiple of 1158 and y(-8).\nAnswer: 8106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2218 divide 345941460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 + 2000*f**2 - 194220*f = 0.\nAnswer: 0, 166, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2164937 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(187) + sqrt(187) + (sqrt(187) - sqrt(187)*1))*1 - sqrt(187) - sqrt(187) - -2*sqrt(187)*1))\/(4*1*sqrt(66)\/sqrt(6)*4).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12054 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 8*c + 17 - c**2 - 2*c**3 + 10*c in the form x*c**3 + j*c + r*c**2 + v and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8445 + 8443. Which is greater: r or -169?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 57*t**2 - 58*t - 6268. Calculate z(-57).\nAnswer: -2962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -75. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 415\/519 (b) -2 (c) 14 (d) -0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2167 (base 9) in base 3?\nAnswer: -2012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 137\/6 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {p: 1, q: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19068 + 0?\nAnswer: -19068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/41 and (-8)\/(-20) + (1672\/70)\/(-4).\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(152) + sqrt(152) + -3*sqrt(152) + sqrt(152)))\/(-1*sqrt(800)))**2 - ((sqrt(152)*3 - sqrt(152))*2)\/(4*sqrt(24)\/sqrt(3)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/(42\/24)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.144 - 0.144053. What is d rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -867*s**2 + 3. Let p(f) = -6*f**2. Calculate a(p(q)).\nAnswer: -31212*q**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*i = 97*i + 3075. What are the prime factors of i?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 13\/3)\/((-2)\/(-12)). Let r(v) = -v + v**2 + 2 - 5 + 3*v. Determine r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264028 and 2682.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 4*v + 1. Let h(q) = -q**3 + 5*q**2 - 5*q - 2. Let k = -1 - -5. Let d be h(k). Is g(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - 4) + (4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 17.3. Let u = -4.30006 - k. What is u rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Let p = -5 + 7. Suppose 12 = p*v + 4*g - 8, -5*v + 18 = 2*g. Let b(m) = m**2 - m**2 - v*m**2 + 0*m**2. What is o(b(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0)*(5*h - 3*h + 3*h) - 5*h**2 + 21*h**2 + 45*h**2 - 3*h**2 + 7*h**2 - 3*h**2 + (2*h - 2 + 2)*(2*h + h - 4*h) - 2*h**2 - h**2 + 2*h**2.\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + -1 - (-867 - -927)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31439 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*s + 44, 5*r + 4*s = -s + 75. Let a = -112 - -166. Let w = 68 - a. What is the least common multiple of w and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 1. Let q be 1\/((-1)\/(-3))*2. Let m(v) = 12*v**2 - q - 2*v - 11*v**2 + 6*v. Let f(t) = 3*c(t) + m(t). Calculate f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, w: 3, i: 2}. Give prob of sequence wi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/(-6) - (2\/(-4))\/1. Is (-9 - r) + -1 + 2326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 10, h: 3, u: 3}. Give prob of picking 2 b and 2 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78*((-80)\/4680*65)\/(15\/(-18)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 626246 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505 - 503. Which is the nearest to 3? (a) r (b) -0.11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 190. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - 0.2. Let x = v + 2.34. Let m = x - 1.9006. Round m to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 2016 = 0. Is 56 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7350736, -14701491, -22052264, -29403055, -36753864?\nAnswer: -44104691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 5:05 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -45*l + 821. Let x(h) = -2*h**2 - 9*h + 36. Let p be x(-6). Determine n(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 + 131*t - 510. Calculate the common denominator of r(4) and -55\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 12, u - 2*s - 16 = -27 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -42. Let a = 27.1 + s. What is the closest to 0.1 in a, -23, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*(-445)\/(-89)*1\/(-2).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*v - 1, -4*v + 12 = -5*d - 1. Let b(c) = -2*c - 1. Let o be b(v). Suppose 2*y = 2*a + o*y - 29, -2*y = -6. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u. Let c be (-2)\/5*78270\/192. Let x = -163 - c. Does u = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 3*q**2 + 2*q - 4. Calculate t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r**4 - 4611*r**3 - r**2 + 48664 wrt r.\nAnswer: -20*r**3 - 13833*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6095 by 3.\nAnswer: -6095\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*i - 1228 + 472. What is the least common multiple of 42 and i?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyeywwvyvve. Give prob of sequence ywy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 65*o + 12759. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17640?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -8931\nAnswer: 8931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7+-50688078275\nAnswer: -50688078268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 77 = 4*b + 20, 4 = 4*j. Solve -b = -2*g - 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 + a + 10. What is s(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**3 + 276*l**2 + 760*l - 518. Give s(-43).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = -24. Suppose -2*a = 0, 2*q = -0*q + 5*a + 12. Let r be (18\/(-27))\/((-2)\/q). Sort s, r, 0.5 in ascending order.\nAnswer: s, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*p - 388267 = 0, 485367 = -54*k + 49*k - p. What is k rounded to the nearest 1000?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(76\/(-10) - -7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 12*l**2 - 33*l - 10. Calculate the smallest common multiple of 272 and q(-9).\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**2 + 10*g - 2. What is the hundreds digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87024 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 17 = 4*b - 1, 4*b = -3*y - 9. Let p = 3 + b. Solve p = 5*v - 20, -2*u - 14 = v - 6*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4509 divided by 7\nAnswer: -4509\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2780 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -353\/6 = -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -5 (b) 0.62 (c) -2\/21 (d) -482\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12857 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1181711800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111041136 divided by -79.\nAnswer: 1405584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.609? (a) 0.4 (b) -4 (c) -0.063 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000133395 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32373.2*-0.032.\nAnswer: 1035.9424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/20*(-5)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*t - 16*d + 18*d, 3*t = -4*d + 31. Suppose -9*j - 13549 = -11*j + 3*b, 5*b = -t. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejeeeeeejee. What is prob of picking 4 e?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/((-3)\/(1 - 10)). Let t(d) = d**3 + 5*d**2 - 2*d - 1. Is 2 a factor of t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1108*g + 1989. Is m(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 4777*o**2 + 108793*o - 464. What is c(-23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*p + 698*p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x + 6. Let a(y) = 6*y + 3. Let m(d) = -5*a(d) + 3*s(d). Let c(r) = -r. Let g(o) = -6*c(o) - m(o). Let z = -4 - -6. Give g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*sqrt(132)\/sqrt(300) - -4*(sqrt(11) + (sqrt(11) - (sqrt(22)\/(sqrt(2)*2))**2))).\nAnswer: -11 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/485 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1729*w**2 - 660*w + 1 wrt w?\nAnswer: -3458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 8*u - 7. Let a(j) = -j + 1. Let y be a(4). What is the lowest common multiple of w(y) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2768580304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 6. Suppose -4*p = -3*p - 5. Let u = p - 2. Calculate d(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10010101101001111101001?\nAnswer: -10010101101001111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001011111 - 2?\nAnswer: -20001011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 251 - 251.5. Let i = 17 + -17.09. Which is the nearest to 1\/4? (a) i (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 207\/12 + (-5)\/20. Calculate the greatest common factor of d and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/9 + 1879769*g\/3.\nAnswer: g*(g + 5639307)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - -6 - 68) + (-2 - (-6 + -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:03 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(112)*-1)**2 + 1 - (3 + (sqrt(112) - (sqrt(112)*-1)**2)*-5).\nAnswer: -453 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 7, 5.\nAnswer: -16, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10997 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let j(n) = 541*n. Determine j(f(i)).\nAnswer: -1082*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-357)\/35*(6 + -1). Let x(v) = -4*v**2 - 4*v + 9. Let l be x(4). Let h = j - l. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, 58, 81\/133 in decreasing order.\nAnswer: 58, 81\/133, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.3 - 197523?\nAnswer: -198043.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 62*z. Let x(o) = 6*o**2. Calculate x(f(p)).\nAnswer: 23064*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 take away -3573.33502?\nAnswer: 3546.33502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 23 + 37 + -1 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 31. Calculate the lowest common multiple of r(-11) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.5 (b) 15.6934 (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2814*m**3 - 188*m + 188*m.\nAnswer: 2814*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*a - 3 = 0, 3*o + 23 - 22 = -4*a. What is the highest common divisor of 295 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5652, 4, 6, 5, -27 in decreasing order.\nAnswer: 6, 5, 4, -27, -5652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1029*x**2 - 2*x + 230*x**2 + 232*x**2 - 771 - 1271*x**2 - 794 wrt x.\nAnswer: -3676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412 by -412.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 189 = 14. Let n = -108 + x. Calculate the remainder when n is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 40820925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*j + 20, 8 = 4*w - 2*j - 0*j. Let q = -6 - -10. Suppose 2*g - 31 = 3*c - 9, -4*g + q*c + 44 = w. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-33)\/10626*6.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 12) to base 10\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*p + 369954 = 502*p. Round p to the nearest one hundred.\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 69 - a605?\nAnswer: -a59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -78. Suppose 2*y - 5*w - 149 = n, -13*w + 10*w = -5*y + 382. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9244.521cm?\nAnswer: 0.09244521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, 4, 28, 0 in ascending order.\nAnswer: 0, 9\/5, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 = -6. Factor -i*q**3 + 2*q**4 - 4*q - 2 - 3*q**3 + 9*q**3.\nAnswer: 2*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194860373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w*y**3 + 5*w*y**2 - 2*w*y - 6*y**3 - 462*y wrt w?\nAnswer: 2*y**3 + 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 2*j - 15. Let c(a) = -9*a**2 + 1. Let d be c(1). Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m - w = -11, 10 = -5*m - 4*w. Let x = m - -9. Solve -8\/5*u + 0 - 8\/5*u**2 - 2\/5*u**x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f + 16*f + 12*f + 5*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21321330 - 1321332?\nAnswer: -23303322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1189274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n + 2. Let r(j) = -j**2 - j + 1. Calculate -2*r(m) + y(m).\nAnswer: 3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31742 - -349396\/11. Which is bigger: f or 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33111 + 33110. Let w(n) = n + 1. Let p(r) = 20*r - 6. What is o*p(y) - 4*w(y)?\nAnswer: -24*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 206539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38119 - 76431. Round a to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:53 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 15 = -x, 0 = 2*x - 5*x + 3*z. Calculate the least common multiple of (3\/2)\/((-6)\/(-16)) and (-3)\/(-9) - 65\/x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59388292.\nAnswer: 2, 1607, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2363, 4077, 5791?\n\"Answer: 1714*a + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m + 5. Let p(w) = -5*w - 4. Suppose -2*g - 2*g - 21 = -o, -o = 2*g + 3. Let t(r) = g*p(r) - 5*k(r). Find the first derivative of t(h) wrt h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/27)*m*m**37\/m*m)\/(((m*m\/(m\/((m**(-22\/7)*m)\/m*m*m))*m)\/m)\/(m**(8\/5)*m)) assuming m is positive.\nAnswer: m**(38537\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {t: 4, c: 2, k: 8, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -156446*m**2. Let h(o) = 375*o. Calculate h(l(w)).\nAnswer: -58667250*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(8\/(-16)*4\/344). Calculate the highest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Put 7, -2\/13, u in increasing order.\nAnswer: -2\/13, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 241*t**2 + 2*t - 3. Let d be k(-3). Let f = -6 - -9. Let w be 17500*(d\/7)\/f. What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300) - sqrt(1300))**2 - 2*sqrt(325).\nAnswer: -10*sqrt(13) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*k*r**3 - 4663154*k*r**2 - 5233*r**3 - 3*r**2 - 298*r - 8 wrt k?\nAnswer: 71*r**3 - 4663154*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 + 1 = 0. Let b be (-3)\/7*1 - 0. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f**3 + 26*f**3 + 40*f**3)*(2 + 4 - 3) + (-2*f**2 + 2*f**2 + f**2)*(5*f - 6*f - 5*f).\nAnswer: 138*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.1 - -5. Which is the smallest value? (a) 5 (b) g (c) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*p + 90*p + 51035 = -173*p - 37*p for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 4*q - 13*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 4*b + 20, 3*b = -u - 1 - 6 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0, 13, 2 in descending order.\nAnswer: 28, 13, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1776 and 21?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + 2*u**3 + u**3)*(-5*u**2 + 0*u**2 + u**2) + (-u**4 + u**4 - 2*u**4)*(-u + 7 - 7) + u**5 - 3*u**5 + 4*u**5.\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472.99998983 + 473. What is u rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 44902935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 689 = 3*c + 2*d, -980 = 4*c - 2*d. Let w = 652 + c. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/((-2220)\/74)*(-21)\/(-1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -423, -926, -1621, -2508, -3587?\nAnswer: -4858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 23 - 9 = 0. Suppose -t + 4*t + f*z = 1419, -5*t + 2357 = 4*z. Let k = t + -327. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18223?\nAnswer: 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c - 78*c - 40 = 0. Calculate the smallest common multiple of c and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 64680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6 (b) -0.1 (c) -1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 6 = 0. Let m = 19953\/8 + -2499. What is the common denominator of (-17)\/9 + r\/(-3) and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*l - 28 = 0, 3*v + 9*l - 3 = 12*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4304*i - 181. Is m(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from {b: 7, p: 9}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - y. Let p be 1 - 5\/20*y. Solve 11 = -2*a - 3*q, -p = 2*a + 2*q + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20. Suppose 5*n + 4*i - 65 = p, 5*i = -0*n - 2*n + 9. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*96\/(-128)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*m - 2*m - 39, 4*p = 5*m - 173. Calculate the remainder when 131 is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 736\/(-14) - 30\/70. Does 11 divide (-8 + 7)\/(1\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g. Let f(j) = 57*j**2 - 17*j**2 - 11*j**2 - 24*j**2. Give z(f(t)).\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-81) - (1 - (-10)\/(-8)) - 5024971\/(-44436)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (186 + 199 + 199 - 584 + 71809*g)*(-3*g**2 + 3*g**2 - g**2) in the form t*g**2 + x + n*g + w*g**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 108, -18.\nAnswer: -153, -18, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.578 from -78732764035.\nAnswer: -78732764035.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*-4*(-2 + sqrt(605) + -1 + (sqrt(605) + sqrt(605)*-1)*4))**2 + -2).\nAnswer: -33792*sqrt(5) + 314364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -34, 204, 12, -3 in decreasing order.\nAnswer: 204, 12, 4, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*p - 33, 20 = 2*p + 3*p. Let q(h) = 4*h**2 - 5*h - 3. Let k be q(5). Calculate the greatest common divisor of k and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -636.\nAnswer: -636.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27671950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let k be s(-2). Let z be (1382390\/(-15))\/(k\/18). Let g = z - -509434. What is g rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305.025 - -316. Let i = 0.075 - d. What is i rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*35\/3360 - (-4)\/(-30).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - j**2 - 29*j + 29. What is the remainder when l(-5) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 6) + 49\/(35\/5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(0 + -3) - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 107*a**2 - 4*a + 433. Let x be o(107). Let c(k) be the third derivative of 0 - 3*k**2 - 1\/80*k**x + 1\/4*k**4 - 2*k**3 + 0*k. Factor c(q).\nAnswer: -3*(q - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/92 + (-100781)\/(-1716). Let x = -632\/11 + w. Find the common denominator of x and 16\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + q + 4. Let g be w(-6). Suppose r - 6*r + g = 0. Let c be r\/6 + 2\/(-6). Which is greater: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4671613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -54.4. Let g = f - 34. Round g to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 9*g**2 + 82*g - 742. What is n(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Suppose 0*k - 4*k = -16. Let o(z) = z - 5. Let a be o(k). Is b(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/(-4 + 84\/24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 13 = 5*n - 15, 3*n - 5*o = 20. Is 650 - 3\/(1 - n\/20) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 5 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -136 + -1286 - (4\/(-10))\/((-2)\/30). Which is greater: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 8. Let u(w) = -13*w**3 + 24*w**2 - 16*w + 12. Let p(x) = -3*x**3 + 6*x**2 - 4*x + 3. Let v(k) = -9*p(k) + 2*u(k). Is v(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - 238.1. Let s = w + 8.1000836. Round s to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 4*x + 8 + 12*x + 0*x**2 - x**2. Let z be f(6). Let l = z + -8. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:43 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4873*u**3 + u**2 + 1382*u + 1 wrt u?\nAnswer: 29238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:32 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + v**2 - 163. Let g(t) = t**3 - t**2 + 163. Let p = 27 - 24. Let f(u) = p*b(u) + 4*g(u). Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1629*j**2 - 11*j - 15. Let y(f) = 1628*f**2 + 9*f + 12. Determine 4*d(c) + 5*y(c).\nAnswer: 1624*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -9 + 3 + 1 + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1267 and 39458?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a - 15. Suppose -12 = -2*s + 5*o, -3*s + 0 = -2*o - 18. Is 7 a factor of c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1909 is divided by 393?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 4*f**3 + 13 - 7 + 2*f**2 + 5*f**3 to the form r*f**2 + a*f**3 + g*f + j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 5:28 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -152*y**2 + 10*y. Let h be k(-7). Let v be 1\/(-3)*h\/8. Let n = v + -659\/2. Find the common denominator of -87\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffqff. Give prob of picking 3 f.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)*-2*3\/(-4). What is the smallest value in q, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3920015 and 495.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 10. Let u be 6\/9 + (-6)\/9 - -17. Suppose 21*x - u*x - 52 = 0. Give n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*x - 5 = 7, 8 = -2*x. Calculate the remainder when (f*-1)\/(((-8)\/(-1))\/(-1424)) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -26*l**3 - 21*l**2 - 5*l. Let z(w) = 5*w**3 + 4*w**2 + w. Let h(c) = 2*r(c) + 11*z(c). Let p(d) = d**2 + 18*d - 1. Let a be p(-18). What is h(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36595392 and 5888.\nAnswer: 146381568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7280\/39)\/(-35)*(-21)\/12*(-6)\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*o - k - 28, -2*k = -3*o - 4. Let u be (-20)\/8 - o\/4. What is the tens digit of (-2)\/u*(2 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 486 = -7*t. Is 2\/(-9) + 208938\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 + -3 - -4 - 6. What is the greatest common factor of 136 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -460, -1843, -4148, -7375, -11524, -16595, -22588?\n\"Answer: -461*o**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (376\/(-136) + -3)\/(-3 - -5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6880, -13729, -20570, -27397, -34204, -40985?\nAnswer: -47734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 17. Let a = -624 + 46175\/74. Which is greater: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 157, 5, -96, 1, 0, 63?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/84 and 67\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 17*m + 13. Let h be o(16). Sort 0, 14, h in descending order.\nAnswer: 14, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 149822?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12*r**3 - 32*r**2 - 12. Let n(k) = 2*k**2 + 1. Let y(p) = 8*n(p) + v(p). Find the third derivative of y(m) wrt m.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, a: 9}. What is prob of sequence aa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose -2*p = -0*p - 6. What is the remainder when (-1)\/w + 17\/2 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 14. Suppose 27*j - 20 = 29*j. Let c = 15 + j. Put c, -1, o in decreasing order.\nAnswer: o, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -18. Let x(k) = 6*k**3 - 5*k**2 - 3*k - 2. List the prime factors of x(j).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16234295 and 7.\nAnswer: 16234295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + s**3 - s**3 - s**3 + 2*s)*(-3 - 2*s + 3)*(934 - 34 - 379) in the form p + g*s**3 + m*s**4 + v*s + r*s**2 and give r.\nAnswer: -2084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -116 + 341. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*b + b - 55, 4*d + 5*b = 67. Let k(w) = 6*w**2 + 7*w + 15. Let y be k(-2). Calculate the remainder when y*(-12)\/(-30)*3 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323982, 647924, 971864, 1295802, 1619738, 1943672?\nAnswer: 2267604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*f*y**4 + 2*f*y**3 + 54*f*y**2 + f*y - 196*y**3 - 532*y**2 wrt y?\nAnswer: 1248*f*y + 12*f - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-55)\/(-22)*2*-1. Let p(w) = 59*w + 5. What is the units digit of p(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**6 + 29*i**4 - i**3 - 5*i**2 - 10*i - 2 wrt i.\nAnswer: -480*i**3 + 696*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000397 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004445 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4971\/370 + 190\/37. Find the common denominator of 666\/28 - (-4)\/(-14) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*x**2 + 383*x**2 - 8*x**6 - 487*x**2 - 74*x**5 - 1030*x**2 - 1239*x**2 wrt x.\nAnswer: -960*x**3 - 4440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 30 + (1 - (-1 - 84\/(-9)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -14*t - 7. Let d be u(-10). Suppose 4*k + 305 = s, 2*s + d - 704 = -5*k. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-3) - (5 + 13\/(-3)). Let c = -13\/60 + -1\/12. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22342 - -112402\/5. Let s = m + -140. Which is greater: -1\/5 or s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 83*s + 434. Calculate the remainder when 58 is divided by a(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1979 + -2897. What is the units digit of (m\/36)\/((1\/2)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 639 = 2*u, -t + u - 255 = t. Let v = 132 + t. Which is the closest to v? (a) -0.4 (b) 0.02 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722 = 5*t - 2*x, -3*x = -2*t + t + 147. Suppose 3*u - t = u. What is the highest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1047, 4196, 9465, 16872, 26435, 38172, 52101, 68240?\nAnswer: 86607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**9\/7560 + z**8\/2100 + z**7\/2100 - 2*z**3\/3 + 5*z. Let v(r) be the second derivative of p(r). Factor v(h).\nAnswer: 2*h**3*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:08 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 833*k**5 - 29*k**4 - 4*k**3 + 5*k**2 + 4908 wrt k.\nAnswer: 49980*k**2 - 696*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - -0.13. Suppose -a + 12 = 2*a. Let b(j) = -j + 2. Let y be b(a). Which is bigger: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -3*w**5\/100 - 9*w**4\/4 + 93*w**3\/10 - 141*w**2\/10 - 7*w + 9. Let b(c) = 0. Calculate c.\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/(2160\/14256)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2206744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 1\/8, -123, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1590 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h + 0*h + 4*h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-1 + -108 - (-7 + (-19 - (-18 + 2)))).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 3, j: 7}. What is prob of sequence wiii?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 8:39 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62\/5 in -282, 10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h + 137 = 5*x, 2*h = -x + 34. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 4) to base 15.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -380*o - 404. Let d(b) = -190*b - 227. Calculate 7*d(f) - 4*v(f).\nAnswer: 190*f + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 2:15 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/12 + p**4\/6 - 5*p**2. What is the second derivative of t(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000737329 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 18*k - 17. Let a be m(19). Suppose -a*g + 104 = -142. What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1531*m - 4 - 1 + 3 - 275*m**2 + 1531*m to the form w*m**2 + z*m + o and give w.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 864500 equal to 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 - 1. Let m be s(-1). Let h = -17 + 20. Solve h = o + m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4*4\/5. Let q be 0 + (c - 1) + -4. Let u be q\/4 - 99\/(-4). Solve 5*g + 0*r + r - u = 0, 20 = 5*g + 5*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 9*f**2 + 9*f + 2. Calculate z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-9))\/((-6)\/(-9)). Let k be 185 + x - (-1)\/1. What is k rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 685.7 + -686. Sort -133, 0.5, x.\nAnswer: -133, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 714737 = 71*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5744*f - 2522*f - 5453*f - 13981*f - 101*f as g*f + q and give g.\nAnswer: -27801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22460 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -423*c + 1779. Determine v(4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 72510092 * -0.1\nAnswer: -7251009.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36233 or -36235?\nAnswer: -36235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:24 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 5:47 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 4*n + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 85. Calculate the remainder when (-1)\/(5\/i)*106\/(-3) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d**2 + 375 - 375 - 38*d**2 - 48*d**2.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 19*p**2 - 18*p - 35. Let j be h(-14). What are the prime factors of -8*(j\/(-4))\/(-7)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/78 and 50\/9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 115, -1, -5.\nAnswer: -5, -1, 3, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5207085 divided by 26703\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 481, 0, 2, -1\/4, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 15*s**3 - 97*s**2\/2 - 193*s + 10. Let f(n) be the first derivative of t(n). Find the first derivative of f(z) wrt z.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 2648*b\/3 - 5272.\nAnswer: -2*(b + 6)*(b + 1318)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, o: 2, v: 2, z: 4}. What is prob of picking 2 z, 1 v, and 1 b?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14675401 or -14675404?\nAnswer: -14675404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3532*w - 7085. Determine l(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 20*l - 66 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5 + 402*n**4\/7 + 3020*n**3\/7 + 840*n**2 + 2096*n\/7 - 1152\/7 = 0?\nAnswer: -18, -8, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 56157469\nAnswer: 3\/56157469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*z - 142261789*b + 303165170*z wrt b.\nAnswer: 2*z - 142261789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.318, -1\/2, -12, 1\/7, -3, -2 in descending order.\nAnswer: 1\/7, -0.318, -1\/2, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18794885 is divided by 6646?\nAnswer: 6643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 38*b**2 + 38*b - 45. Determine y(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 3*u**3\/2 + 33*u**2\/2 + 1806*u. What is b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1660 and 15325950?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 4*n**5\/25 - 2*n**4\/5 - 4*n**3\/15 + 4*n**2\/5 + 17. Solve c(h) = 0 for h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11594 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: Which is smaller: -19 or 128?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3266676, -3266728, -3266780, -3266832?\nAnswer: -3266884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4303 + 6427. What is the remainder when h is divided by 703?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -25, -66, -113, -160, -201, -230?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -43. What is the remainder when 71 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, v: 5}. Give prob of sequence ii.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from tgttxxttttttttttt.\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -143, 16, 4, 354, -5 in decreasing order.\nAnswer: 354, 16, 4, 2, -5, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1836603 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - 189\/(-12). Let t be (-3)\/((-2)\/(y\/6)). Suppose -8 = x - 3*x. Solve m - c - 24 = -t*m, -x*m = -c - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57156 - 57143. Suppose 0 = 3*p - 6*p + 3. Put p, 0.1, v in decreasing order.\nAnswer: v, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -50. Suppose -g - i + 228 - 30 = t, 2*i = -4. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -28*k**3 - k**2 - k - 1. Suppose -15*m = -17*m - 2. Calculate f(m).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5237027 to the nearest integer?\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 = -5*t, q - 74 = -2*t - 88 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32003311 + -3221222?\nAnswer: 22122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x + 42*x + 8 = 0. Suppose 2*v - 4*m - 582 = 0, x*v - 5*m - 504 = 82. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + q**3 - 3*q**2 - 2*q**4 - 3*q**4 + 5*q**4 - q**4 + 100 in the form t*q + i*q**3 + m*q**2 + h*q**4 + d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x - 150. What is the remainder when g(34) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((3*3\/(-9))\/1). Suppose -c + 3981 = -4*r, -2*c + f*r = 3*c - 19830. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - y - 68 = 3*y, -25 = 5*y. Let m = 16 - g. Solve m = 4*w - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754991 (base 11) in base 10?\nAnswer: 1207075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2802018*w - 1. What is c(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 12:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 4)\/(-2*(-4)\/(-529544)). What is x rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-26) + (-568)\/(-624) - 72847\/2253.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 3, -0.5, 137\/51, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7930*r**3 + 11*r**2 + 22*r - 22. Let h(a) = -2642*a**3 + 4*a**2 + 8*a - 8. Determine 11*h(s) - 4*x(s).\nAnswer: 2658*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.86 - -0.36. Suppose 4*z - 4*v = v - 20, 0 = -3*z - 5*v + 20. What is the third biggest value in z, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/190)\/((-1*585\/(-247))\/(-3)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 - 2*g - 7. Let j be z(5). Let v = j + 33. Calculate the least common multiple of v and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**9\/756 - y**5\/4 + 6*y**3 + 31*y**2. Let r(l) be the first derivative of n(l). What is the second derivative of r(h) wrt h?\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let q(j) be the second derivative of j**4\/6 - 2*j**2 + 17*j. Determine q(c) + 5*w(c).\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11697 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*y = -1623. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 948 divided by -4.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6808529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 24666507.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 33*c**2 - 15*c + 12*c + 44*c**2 - c**2 to the form v*c**2 + d*c**3 + q + h*c and give v.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 3*g + 2*g + g + 0*g + g + (-2 + 2 + 2)*(g - g - g) - 3 + 3 - 2*g)*(2 + 1 + 0)*(3 - 3 - 2) to the form k*g + h and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -50230 (base 6) in base 16?\nAnswer: -19aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(-17939*y**2 - 14*y + 118 - 17945*y**2 + 35883*y**2).\nAnswer: -2*y**3 - 28*y**2 + 236*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 2*o + 7*o + 9*o + 16*o. Let p(w) = -7*w**2. What is q(p(d))?\nAnswer: -266*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-4)*28\/40*(-363)\/1694?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) -3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 0. Let n = v - 38. Let u = n - 2.2. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*v + 49, -169*v + 174*v - 4*r - 92 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13859202, 13859245, 13859288, 13859331, 13859374?\nAnswer: 13859417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90962495 is divided by 316?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - m + 2. Let z = 94 - 92. Determine o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*z = -q + 62, -q - z + 20 = 0. Solve 2*k = 5*y + q, -2*k - 7*y + 3*y - 28 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 4, -5, -112, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-13)*k*k*k**(-8) assuming k is positive.\nAnswer: k**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1)\/(0 - 1). Suppose s*q + 5*n = 29, 2*n - 3*n = -5. Factor -2*f**2 + q - f + f + 0*f.\nAnswer: -2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -98*(3 - 49\/14). Suppose 284 = 51*g - f*g. List the prime factors of g.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 31102?\nAnswer: -31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-31 + 23 + -14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629072 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*v. Suppose -3*x - 2*n + 2 = -v, -3*x = 3*n - 3. Suppose x = -2*a + 5*a - 15. Solve -4*u = 4*r - 4, 3*u = u - a*r - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n - 220 - 184 + 68 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*3 - (5 + (sqrt(475))**2).\nAnswer: -480 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 292237 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.894 and -164.073245.\nAnswer: -166.967245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 - (2 + (-4 - -3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810.5528 litres in millilitres?\nAnswer: 810552.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwwzzwz. Give prob of sequence wz.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 + 808 = 121*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 - 3*x - 6. Let m(q) = -q**3 - 6*q**2 + 13*q - 19. Let p be m(-8). Let f be v(p). Solve -4 = 2*d - f*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*55\/(-44) - (-71 + 1). Suppose -23*m - l = -36*m. Solve -m*o + h = -o, 5*o + h = -9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605289.39 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-60) + 6)*10\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*w + 5 + 12 - 17)*(21*w + w**2 - 1116 + 1116)*(-1 + 2*w + 1) in the form x*w**3 + l + z*w**4 + c*w + o*w**2 and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 232121770 <= 232121771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3229, -6461, -9693?\nAnswer: -12925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) -2\/5 (b) 5 (c) 0.1 (d) -59\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {f: 12, w: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3010 and -0.1613597519.\nAnswer: 3009.8386402481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-6)))**3 assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1303.0131.\nAnswer: 1303.0131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 1. Let j be s(-5). Let w be 4\/10*15\/(-21). What is the third smallest value in j, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/1 + 1\/(8\/8984).\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 6:44 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22014 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-39)\/a**(-5\/2) assuming a is positive.\nAnswer: a**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 9:16 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 - 6*d - 6. Let o be s(-4). Suppose -36 + 38 = -o*t. What is the tens digit of (5 + t - 0) + 328\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzr when three letters picked without replacement from {r: 2, l: 2, k: 1, e: 10, z: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/676799 and -8\/41591.\nAnswer: 7444789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -603 + 1209 - 605 + 34*j**2. Let f(z) = 3*z. Give f(k(x)).\nAnswer: 102*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*t + 196, 5*f - 14*t + 11*t - 206 = 0. Solve 5*x + 5*b = f, 5*b - 6 = 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007*d - 2*d + 29 = 3044 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416\/(-1040) - 57\/(-130)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6121913?\nAnswer: 7, 101, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*f**3 - 28*f**3 + 3*f**3)*(2 + 3 - 2).\nAnswer: -213*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = 0. Let k be (-1)\/(-3) + (-32)\/6. Put v, k, 2 in ascending order.\nAnswer: k, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4 + 0)\/(-10). Let u = -29.16 - -28.96. Which is the closest to -0.1? (a) t (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 - 2 + (1 - 2 + 2)*(4 - 2 - 1) - 5 + 0 + 3 - 14 + 1 + 1)*(-72*o - 4 - 4 + 75*o) as v + j*o and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8651, -17357, -26063, -34769?\n\"Answer: -8706*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 10, 4*j + 5*g = j + 2870. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 2. Let c be l(0). Suppose 2*w = -c*g - 2*g + 46, 1 = -w. Let y = 32 - g. Solve 3*v - 2*v + y = 5*i, -5*i + 5*v = -20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t + 3. Let g(r) = 12*r**2. Calculate g(h(s)).\nAnswer: 768*s**2 + 576*s + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1622 - 1584. Solve -31*h + b*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 2, 4, -63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 4*w + 14. Let t = -503 + 498. Calculate the smallest common multiple of d(t) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Let y = 991.923 - 991. Let d = -0.077 - y. Which is the closest to v? (a) d (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-14) - (-234)\/(-91). Let z(h) = 2*h**2 + h + 1. Let g be z(r). Solve 3*a = 7 - g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1920)\/90)\/((-16)\/24) - -33?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**2 + 23*k - 23*k + (-1891*k - 1269*k - 10*k + 100*k + 176*k)*(3*k - k - 5*k) to the form r*k**2 + o + t*k and give r.\nAnswer: 8690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjgjggjjjggjjjg. What is prob of sequence jjjg?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 6 + 56. Suppose 2*y - 5 = -o, -o + 6*o = -y + w. Solve -u = -y*u - 5*l + 14, -u + 13 = 4*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/2 + 7*c**2\/2 - 16*c. What is the derivative of l(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3 + 1 + 16*j + 3 + 0 - 4. Let t(y) = 31*y - 5. Calculate 5*h(u) - 3*t(u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 8. Let g = 28 + 24. Let i(q) = -55*q + 4 + 2 + 1 + g*q. Calculate 6*i(b) - 5*o(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 133\/16 (b) 54 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-396))\/(((-630)\/21)\/10)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385.05*1.792.\nAnswer: 690.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 6*w + 2. Let k be j(-6). Suppose 9 + 3 = k*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5\/13 - 10586*w**4\/13 + 89758*w**3\/13 - 174144*w**2\/13 + 94968*w\/13 = 0. Calculate w.\nAnswer: 0, 1, 3\/2, 6, 2638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 42*s**2 - 1. Let z(y) = -y**3 + 49*y**2 - 2*y + 105. Let b be z(49). Let m(x) = x + 2 - 14 + 5 + b. Calculate g(m(c)).\nAnswer: 42*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/16 - 21895\/2416.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2013, -1906, -1797, -1686, -1573?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let s = -0.5 + -1.5. Is s <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712337217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/7 + 424*s**3\/7 + 425*s**2\/7.\nAnswer: -s**2*(s - 425)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/77 and 10\/35623.\nAnswer: 391853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 37. Let i = a + -1. Suppose 4*y + 1 = 3*g + 4, 2*g = 5*y - 9. What is the smallest common multiple of y and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4323, -4320, -4317?\nAnswer: -4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727395 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 1555, 1581, 1607, 1633?\n\"Answer: 26*u + 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/6 + 3\/(-9). Suppose 5*f + k*h - 69 = 0, 2*h - 2 = 4. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -17*k - 9789. Let d(y) = 3*y. What is d(z(r))?\nAnswer: -51*r - 29367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1343142014 + 1?\nAnswer: 1343142015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-13) + 10\/22. Let g = 66 + -60. Suppose -g*z = -13*z + 7. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9182, -9177, -9162, -9131, -9078?\n\"Answer: b**3 - b**2 + b - 9183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411015, 410760, 410343, 409770, 409047, 408180, 407175?\nAnswer: 406038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1641017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 82. Do a and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -35, -60, -99, -158, -243, -360?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177d (base 16) in base 9?\nAnswer: 8221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 656 = -0*v + 4*z, -5*z = -3*v + 404. Let r = v - 83. Find the first derivative of -45*m**2 - 18 + r*m**2 - 8*m**3 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/501 + -1016\/3507. What is the third smallest value in 2\/7, -1\/6, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 8. Let w(q) = 0*q - 6*q**2 + 8*q**2 + q - 2 - q**2. Let t be w(0). Put o, t, 2 in decreasing order.\nAnswer: o, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(6)*-2)\/sqrt(2) + -5*1*sqrt(3)))**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 6) to base 14\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/((-5)\/15). Let t be b*-2 - (-18 + 14). Solve 7 = -p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5*d)\/(d*d**(1\/2))*d**(-9)\/d*d**(-6\/13) assuming d is positive.\nAnswer: d**(-129\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(99)*-3 + 1*1*sqrt(11).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2687?\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/96 and -149\/12432?\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/2))**(9\/8)*c**(-1\/6)\/(c*c*c**(-1)))**(-49))**(8\/11) assuming c is positive.\nAnswer: c**(4067\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 24*a + 18*a + 3.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -13*m**6\/15 + 29*m**4\/12 + 7*m - 1. Let h(b) be the first derivative of p(b). What is the third derivative of h(t) wrt t?\nAnswer: -624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11710*q**3*t - 5612*q**3 + 3*q**2 - q*t + 1726850*q wrt q.\nAnswer: 70260*t - 33672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a + 8. Let s = 1272 - 1345. Let w = a - s. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 at least as big as -205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 = -5*n, -f = -3*n - 6 + 16. Differentiate f - 12 + 1 - 7*l**2 with respect to l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - 5*z**2 - 296 + 306. Let h(q) = -2*q. Give a(h(l)).\nAnswer: -4*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*s = -4, 2*s + 6 = -4*f + f. Let h = 0 - f. Solve 4*t - 8 = -h*m, t = -t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/(((-20)\/(-16))\/5). Let b be (o - 2)*17\/(-51). Suppose b = -6*p + 2 + 16. What is the greatest common factor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p. Suppose -3*f + 16 = 4*x, -5*f + 0*x + 3*x + 17 = p. Let b(g) = 5*g + 60. Let v be b(-11). Solve -v*d + c + 0*c = 3, 0 = 2*d + f*c + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - o**2 - o + 1. Give j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985\/15 + (-18620)\/1470.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615704, 1231465, 1847228, 2462993, 3078760, 3694529, 4310300?\nAnswer: 4926073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 11.72. Let m = 1.633 - j. What is m rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -862, -860, -848, -820, -770, -692, -580, -428?\n\"Answer: a**3 - a**2 - 2*a - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - 16*g - 23*g)*(16*g**3 - 1061 + 1061) to t*g**4 + j*g**2 + w + k*g + p*g**3 and give t.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 477\/12 + 1\/4. Let l(m) = 2*m**2 - j + 40. Let a(w) = -5*w. What is a(l(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from cccxxccexxccccxxcc?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 8552. Let d(i) = 5*i - 2791. Give d(l(p)).\nAnswer: 15*p + 39969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/((-2)\/(-3)). Let t be (-6)\/5*(68\/(-8) - -6). Let p(h) = -h**2 - t*h + 2*h + h - 9*h**2 + 1. Calculate p(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 - 2*w**2 + 3*w**3 + w + w**2 to the form s + b*w**2 + y*w + f*w**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 7*g + 6. Let s be a(-6). Suppose 2*w - 24 = -s*w. What are the prime factors of -15*(w\/20)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, v: 1, j: 4}. Give prob of sequence vj.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*c - 10*c. Suppose 3*a - 4*m - 2 + 7 = 0, -2*a - c = -5*m. Let f be a\/(-2)*20\/6. Solve -3*j - i - 8 = 0, 5*i = -4*j + f*j + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c**2 - 3*c + 4. Give l(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1631*i - 1404*i**2 - 1631*i)*(-2 + 6 - 3)*(-1 - 1 - 1) + 0*i**2 - 11 + 10 + i**2.\nAnswer: 4213*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -32544, 2, 43 in increasing order.\nAnswer: -32544, -0.4, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 4*q - 11, -5*q = -10. Suppose 2*b + 2*b = -8. Let i be 3\/b*4\/(-3). Calculate the greatest common divisor of k and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*n**4 + 6*n**4 - 4*n**4 + (3*n**2 + 3*n**2 - 2*n**2)*(25 + 3*n**2 + 3*n - 25).\nAnswer: 40*n**4 + 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/12 - 2*s**3\/3 - 784*s**2. Suppose -8 = -6*p + 4. Suppose -5*y - 2*z - 21 = 0, -3*z = p*z + 15. Determine t(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 19275 - 19275 - 1885*w.\nAnswer: -w**2 - 1885*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70995787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**3 + k**2 + k. Suppose f = -t + 5, -3*t = -0*t + f - 13. Let o be 6\/t*(-14)\/21. Calculate r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/20*175\/140\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-5))\/((-4)\/30). Let n = l + -4. Suppose 4*s - 1338 = -n*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-635)\/8890)\/((3\/2)\/3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/20 + v**4\/12 - 5*v. Factor z(w).\nAnswer: -w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5852\/(-931) - (-3 - -1 - -8)*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s - 231*s**2 + 73*s**2 + 82*s**2 + 78*s**2.\nAnswer: 2*s**2 + 93*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 11:35 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12255183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 799470 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10983 - -19640. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*s**3 + 47*s**3 + 52*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7405*u**2\/3 - 4657*u\/3 + 916.\nAnswer: -(u + 1)*(7405*u - 2748)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4. Let d(g) = g + 3. Let h(s) be the first derivative of -3*s**2\/2 - 10*s + 166. Let l(x) = -5*d(x) - 2*h(x). What is -3*l(t) - 4*z(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9245 - 7904 = -11*h. Is h*2*(0 + (-5)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 4*t**2 + 5*t - 2. Let c(x) = 6*x**2 - 1 + 3*x - 7*x**2 - 2*x. Determine 4*c(w) - o(w).\nAnswer: w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1034*v - 89727. Calculate q(87).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 8*k**4 - 4*k**4)*(-k + 3*k - 4*k) - k**5 + 2*k**5 + 5*k**5.\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 8*a + 9. Suppose 0 = 4*x + x + 2*t, 0 = -x + a*t. Suppose -c - 4*i + 683 = x, 2*i + 2*i = 4. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 566 - 565.929. Let f = 0.029 + u. Which is the nearest to f? (a) -0.18 (b) -0.4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 860\/28 - (-6)\/21. Let i = -36 + l. Let r(f) = -4*f + 5. Let v(k) = 2*k - 2. What is i*v(d) - 2*r(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 26\/1456701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 5225371 and 5225373 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 557*s**2 + 0*s**3 + 1919*s**2 + 2299*s**2)*(2*s**2 + s - s).\nAnswer: -6*s**5 + 7322*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 357 = 5*y. What is the greatest common factor of 231 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*(1464064\/(-192))\/133?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-276)\/(-16) - 2\/8 and (2\/(-10))\/(24\/2020)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 16 = 4*x, -2*x = -5*x - 6. Let m be (1*3)\/((-3)\/p). Let q be 14\/(-10) + m\/(-10). Which is the nearest to 3? (a) -0.3 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -989 - -1175. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221004 (base 5) in base 2?\nAnswer: -101101011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f - 724. Let g be t(104). Suppose -4 - 33 = -3*h - 4*v, -12 = -3*v. Put 3, g, h in increasing order.\nAnswer: 3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 0.1, -2, -8, -132?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 2*b**2 + 3*b + 1. Let j be c(-3). Calculate the lowest common multiple of (36\/3)\/(0 + j) and 1 - -1*(19 + -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*r**3*t**3 + 1879*f**2*r**2*t + 968*f**2*r*t**3 - 719077*f*r**3*t**3 + 3*f*r**2*t**3 wrt r.\nAnswer: 6*f**2*t**3 - 4314462*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*g + 245*g + 124 = 4*b, 15*b + 3*g - 39 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11 and 1025.\nAnswer: 1025.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(1\/2)*a**(-8))\/(a*a\/(a\/(a*a**(-3\/2)*a))*a*a*a**(-7))*((a**(-4)\/a*a)**(-2\/39))**(-1\/5) assuming a is positive.\nAnswer: a**(-593\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/3 + 10*o**2\/3 + 13*o\/3 - 8 = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33857 or -33855?\nAnswer: -33857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1. Let f(i) = -5*i + 4. Let s(c) = 2 - 12 + 14*c - 1. Let z(j) = 17*f(j) + 6*s(j). Give -3*x(o) + z(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74751707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 291060955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 2:12 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000081049 rounded to seven decimal places?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 0. Sort -11, i, -2 in ascending order.\nAnswer: -11, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282366 is divided by 16822?\nAnswer: 13214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/312 and 7\/11.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**2 - 4*v - 31. Give c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 5:35 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*y - 1196187*f**3 + 4*f**2*y + 533*f*y + 2*f + 6*y - 599 wrt f?\nAnswer: 18*f*y - 7177122*f + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93914, -189461, -285008, -380555, -476102?\n\"Answer: -95547*o + 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 1413 - 1413 + 34*y**2.\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, -1, 0, 1, -851 in decreasing order.\nAnswer: 1, 0, -1, -128, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 + 7*i)*(-1 - 18*i**2 + 1) - 2*i**3 + 4*i**3 + i**3 + (-3*i + 3*i - 2*i**2)*(-2*i + 3*i - 3*i) + 3 - 3 + i**3 - 3*i**3 - i**3 + 6*i**3.\nAnswer: -116*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -29 (c) -2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.660072g to micrograms.\nAnswer: 9660072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 305469 and 45?\nAnswer: 1527345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 18334\/2535?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 8. Calculate the remainder when 63 is divided by t(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-10)\/4*264\/(-660)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 3\/2*n**2 - 9*n - 5. List the prime factors of a(8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -8. Calculate the remainder when (7 - 4) + 15 + -1 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d = 128*d + 2760. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37860 is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -12. Let p(i) = -i**2 + 19*i + 25. Let r be p(y). Solve -4*l - r*m = -0*l - 15, -3*l + 6 = 2*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/130448 and -25\/38924.\nAnswer: 4826576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 423442056 to the power of 1\/3, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-4)\/6)\/(-2))\/(2\/42). Let x be (14\/4)\/k*(1 + 11). Suppose -40 = 5*r - x*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 8*d + 9. Suppose 3*y = 7*y + 28. Let c be u(y). Suppose 2*a - 10 = -3*i + 3, c*a - 2*i = -2. Solve a*q - 2 = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 211\/11 - (-1)\/(11\/(-2)). Let k = 41 - 23. Are f and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 - -203. Suppose -151 = -5*o - 4*b, -7*o + 157 = -q*o - 2*b. Calculate the remainder when o is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 13. Let f be t(-6). Let g = 25 - f. Suppose -g = s - 97. Calculate the highest common divisor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17.0000103. What is q rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*k**2*s**4 + 7*k**2 + k*s**3 + k*s**2 wrt s?\nAnswer: 2784*k**2*s + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(1 + 5\/(-3)). Let v(i) = -i**3 - 6*i**2 - i - 3. Calculate the least common multiple of v(y) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q - 630 = -2*q - 684. Solve 0 = -3*i + 9, q*i - i - 1 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from {p: 8, t: 5, d: 2, z: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50521 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 1.2, 0.2, -0.2, -1\/6 in descending order.\nAnswer: 1.4, 1.2, 0.2, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Let c be a(4). Solve 3*h + 6 = -0*y + 2*y, -5*h = c*y + 29 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -21.654197147\nAnswer: 20.654197147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10642080, 10642087, 10642094?\nAnswer: 10642101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 1 + 3)*(-35*m**2 + 0*m**2 + 3*m**2) - 18*m**2 + 7*m**2 - 23*m**2)*(4*m + 0*m - 2*m) to the form k*m**2 + g*m**3 + b*m + p and give g.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 3:02 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1269157673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, -0.1, -2\/15, -7, -2\/403?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60aa (base 12) in base 15?\nAnswer: 319d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75213 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 5*p + 43, 2*h = -4*p + 62. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 6. Let p(i) = -d*i + 5*i - 3*i. Let q(c) = 2*c**2. Calculate p(q(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d = -9. Let w = 20 - d. Calculate the remainder when 20 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150\/673 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 35) + 80 - 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7046*s**3 + 3528*s**3 + 3519*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*j**4*w - 2*j**3*w**2 - 2*j**3 + 5*j*w**2 - 31*w**2 wrt j.\nAnswer: -300*j**2*w - 12*j*w**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2 and 27\/15475738.\nAnswer: 15475738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64, 88, 132, 196, 280, 384?\n\"Answer: 10*d**2 - 6*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 308*y + 20. What is z(-1)?\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r = -19*r + 60 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2872 and -1600778277?\nAnswer: 1600775405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -328? (a) -1\/2 (b) -1281 (c) 11 (d) -3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/21))**(-4\/35)\/(a**(-3\/10)\/(a*a\/a**(-17\/5)*a)) assuming a is positive.\nAnswer: a**(9857\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 124*a**4\/7 + 75524*a**3\/7 + 80264*a**2\/7 + 4864*a\/7 = 0.\nAnswer: -608, -1, -2\/31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -210*p**3 + 2*p*y**3 - 263*y**3 wrt p.\nAnswer: -630*p**2 + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 18 = 17*n. Solve 2 = 4*j - n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.01 (c) 3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 + 5*l + 5. Let m be v(-3). Let s(g) = -g**3 - 10*g**2 - g - 7. Let y be s(m). Solve -4 = -p - y*h + 2*h, 0 = -2*h + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 7. Let v be b(-5). Suppose v*i - 35 = -2*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3023003 - 2?\nAnswer: -3023010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 433234 (base 7) to base 6\nAnswer: 1341531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*-710.51.\nAnswer: 25578.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.548 and -18.\nAnswer: -17.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - 5*h - 5. Determine y(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219952 is divided by 846.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/29? (a) 0.3 (b) 2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 143 = 146, -3*j - 37924 = -5*o. List the prime factors of o.\nAnswer: 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 43 + 25 + 9)*(-2 - 6 + 3) to the form a*m + o and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 55. Suppose -o = 5*p + 3*m, 4*m + 25 = -5*p - m. Which is bigger: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + 0.09. Let c = 0.43 - 0.4572. Let t = i + c. Round t to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (324\/(-10))\/(1\/5). Let a = b - -237. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2)*3)\/1. Suppose 1\/6*q**2 + b + q = 0. Calculate q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:55 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1242936001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 21*y - 38. Suppose 18 = 2*c - 20. Let x be h(c). What is the nearest to 0.1 in x, -1\/2, -11\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2. Let x(a) be the third derivative of 11*a**5\/20 - 11*a**3 - 1917*a**2. Calculate -2*x(i) + 66*y(i).\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -54.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -571\/63 + 65\/7. Factor -2\/9*p - 4\/9*p**2 + w*p**3 + 4\/9.\nAnswer: 2*(p - 2)*(p - 1)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -61. Suppose j - 4 = 3*h. Let s = h - 3. What is the remainder when 29 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/44 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 1, v: 1, h: 1, d: 2}. What is prob of sequence hm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1338, -84, -5, -1 in descending order.\nAnswer: 1338, -1, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 - 2*r + 1. Let m be j(1). Let u = m - -8. Solve -u*d - 9 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224.0000197 + -224. What is k rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 9*x + 5*x)*(10*x + 3*x + 28*x) + 12 - 7*x**2 - 12.\nAnswer: 649*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21220101212 + 211?\nAnswer: 21220102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 12 = -3*l, 3*i + i = 0. Let w = 10 + l. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 143*u**5\/5 + 4*u**3\/3 + u**2 - 109. What is the third derivative of p(h) wrt h?\nAnswer: 3432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i + 2. Let o(x) be the second derivative of -1\/2*x**2 + 1\/6*x**3 + 0 - 4*x. Determine -g(r) - 3*o(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(2 + sqrt(162) + sqrt(162)))**2 + (sqrt(10)\/(sqrt(5)*2) + sqrt(16)\/(sqrt(8)*1))**2.\nAnswer: 648*sqrt(2) + 11735\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7772 + 7773. Let l = 15 + -11. Calculate the remainder when l is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n - 3. Let v(q) = 40*q - 16. Let g(x) = -x**2 + 19*x + 90. Let a be g(23). Calculate a*v(y) + 11*o(y).\nAnswer: 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1, 7, 35.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.820948 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 + 1538?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177346732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.544 - 0.166. Let f = a - 57.29. Let m = -57.608 - f. What is m rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(11 - (-964320)\/(-87664)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17671599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + g - g)*(g**2 + g - g) - 6*g**3 + 6*g**3 - 6*g**5 + (0 + 0 - 2*g)*(-219 - g**4 + 219).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 75*n**4 + 157*n**4 - n**3 - 71*n**4 - 2 as h*n**3 + q*n + l*n**4 + y + c*n**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 9 = -t. Suppose t*y = 4*y + 90. What is the least common multiple of y and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(80)\/sqrt(4) - sqrt(55)\/sqrt(99)*-4)**2.\nAnswer: -100*sqrt(5)\/3 + 725\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 28623.7\nAnswer: -200365.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from too. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 - -9) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, 0.5, -1\/11, 2\/23, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**3 - 199\/30*w**6 - 47*w + 0*w**5 - 101*w**2 + 0*w**4 + 1. What is the first derivative of o(v) wrt v?\nAnswer: -796*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123770633731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/30 + 1)\/((-18)\/(-36)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1740 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/19 (b) -0.5 (c) 5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -12. Suppose 8*x - 480 = q*x. Calculate the greatest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*n**2 - n.\nAnswer: n*(n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 + 3. Let y(a) = -11*a**2 + a + 5. Let z(b) = 13*v(b) - 6*y(b). Let u be z(5). List the prime factors of (-282)\/u*(-4)\/6.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1082, 1275, 1468, 1661, 1854, 2047?\n\"Answer: 193*s + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311353012.\nAnswer: 2, 199, 599, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 75 + 1\/2*y**2 - 8*y. Give o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 0. Let q(u) = -5*u + c - 6 + 4*u. Let l be q(8). Put -4, l, 5 in increasing order.\nAnswer: -4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(48)\/sqrt(4)) + sqrt(112)*-2 + sqrt(112))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2404.92 to the nearest ten.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 292781812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 314971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + 6*u - 7. Let d(y) = 13*y**2 + 11*y - 13. Suppose 0 = -6*c + 4 + 2. Let v be (-25 + 3)*c\/(-2). Determine v*i(n) - 6*d(n).\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 5*x + 4*j, -x - 19 = -2*x + 2*j. Suppose 0 = b + 4 - x. Solve -3*u + 0*u = -2*m + 7, -3*m - 2*u = -b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2 + 6*t - 6. Suppose -1219 + 1221 = -2*h. Let l(o) = o**2 + o - 1. Calculate h*q(y) + 6*l(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32660\/7 + 4666. What is the fifth smallest value in 24, 2, 0.2, n, -0.2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (0 + -32 + 4)) + -7 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*u + 26 = 0, -m + 5892*u - 76 = 5897*u - 11 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5003 + 1155727\/231. Calculate the common denominator of -74\/99 and t.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(56\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:34 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 10*c**2 + 17*c - 9. Let y(k) = k**3 + 10*k**2 + 18*k - 10. Let x(u) = 6*i(u) - 5*y(u). Determine x(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 48. Solve 2 = u*s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142 + 156.9. Let n = 14.90000693 - y. Round n to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*r, 5*q + 5*r = 2*q. Suppose 0 = q*i - 15. Find z, given that -2*z**2 + 1\/2*z + 1 - 3\/2*z**i = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 - 248.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(684) - sqrt(684)*-1) - sqrt(684))**2 - 1*(0 + sqrt(684)).\nAnswer: -42*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*i - 20 = 0, 0*s + 2*s + i = -16. Let u = s + 6. Let g = -2.12 + 0.12. Which is the closest to u? (a) g (b) -1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4 - 10*m - 19*m**2 + 20*m**2 + 6*m. Let c(j) = j**3 - 5*j**2 + 6*j - 5. Let l be c(4). Determine h(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 295\/(-5) - -4. Suppose 4*s - 7*g - p = -2*g, 3*s - 2*g = 40. Calculate the greatest common factor of s and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2205, -2172, -2139, -2106, -2073?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.762797 nanoseconds?\nAnswer: 0.000762797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -399.074 plus 0.3?\nAnswer: -398.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213096.\nAnswer: 2, 276637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 90 = 2*f. Let i be ((-6)\/f)\/((-1)\/3). Round i to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(242) - sqrt(242)*-2))\/(sqrt(128)\/sqrt(4)*2) + 3.\nAnswer: sqrt(7)\/264 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 9:21 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-25168)\/(-858))\/(13\/(-39))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 + 5*a + (-2 + 4 - 4)*(a - 5*a + a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*k - 456510, k = 4*k + 3. Suppose -v = 30*j - 49*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75167 (base 12) to base 4.\nAnswer: 211212133","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12640723 is divided by 1647?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 - 3*c**2 + 0*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {n: 2, v: 3, d: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -80. Let q = a + 19. Suppose 25 = 3*f - 2*u, 5*f - u - q*u - 40 = 0. Calculate the lowest common multiple of 27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2223502041 + -2?\nAnswer: 2223502035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w - 117. Let s = -8863 - -8852. Determine v(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - l + 1. Let b be j(1). Let c(w) = -w**2 + 6*w + 3. Let k be c(b). What is the second derivative of -k*t**3 - 2*t + 0*t**3 + 2*t**3 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-90))\/((-8)\/(-57)*(-51585)\/(-16290))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0.05, 1\/2, 0.1 in descending order.\nAnswer: 2, 1, 1\/2, 0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14270, 14271, 14272, 14273, 14274, 14275?\n\"Answer: t + 14269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-5 - (-19 - 4)) + (-4 - 2) + 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 4*c - 5 + 9, 4 = -5*m + 2*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73632442 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201564977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.51 and 3?\nAnswer: 1.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-4*j + 0*j + 6*j) - j - j + 3*j + 6*j - j + 0*j + (-3 + 0 - 1)*(0 + 0 + j) as h + n*j and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*s + 280, -4*s + 99 + 7 = 2*r. What is the lowest common multiple of 11 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5 - 3, 2*m - 3857 = -5*k. Suppose -5*t + 1277 + k = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**10*x*x\/(x**(1\/4)*x*x*x))\/((x*x*x**18)\/(((x\/x**(2\/11))\/x)\/x)) assuming x is positive.\nAnswer: x**(-415\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4114 + 2224?\nAnswer: 10342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -626 and 0.1?\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/50414 and 55\/1092?\nAnswer: 302484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*w - 1045, -l + 7*w = 5*w - 359. Let i = l + -264. Let m = -16 + 38. Calculate the remainder when i is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -31*c + 23. Let x be g(10). What is x rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 728?\nAnswer: 728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 26\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 - -340. Solve 5*n = j + j - r, -n - 5 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:06 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21)*r**(2\/59))**(28\/3) assuming r is positive.\nAnswer: r**(-304\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 54*r - 4. What is the tens digit of q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -27.\nAnswer: 38\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4386 + 4366 = -2*p. Sort p, 5, 59, 2 in decreasing order.\nAnswer: 59, p, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let z be 1*-1 + u\/(-1). Let q(l) = -3630 + 1817 + 14*l + 1813. Give q(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-15))\/(10\/(-15)). What is the closest to 5 in -0.2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 40.\nAnswer: -13\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*c - 3356 - 11209 = 217*c - 2217 for c.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -229, -347, -467, -589?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179.6 + -183.6. Which is the fifth biggest value? (a) q (b) 0.6 (c) -3\/2 (d) 2\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 2*p**3 - p**3 + (-p**2 + p - p)*(7*p + p + 0*p) + 95*p**2 - 95*p**2 + 89*p**3.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 2)\/(6\/(-4)). Let k be 4672822\/57 - l\/3. Suppose 2*x + 2*x + 5*n - 82025 = 0, 0 = -4*x + 4*n + k. Round x to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 180873*k**2 + 5*k - 20*k + 10*k.\nAnswer: -180873*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47175019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 28*s + 14. Let y(v) = -3*v + 200. Let x(n) = 2*n - 125. Let q(d) = -8*x(d) - 5*y(d). Give m(q(t)).\nAnswer: -28*t + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b - 4*b = -350 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1989 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 - -37) + (-72 - -80) and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 392*a**2. Let g(h) = h**2 - 3*h. Give g(z(x)).\nAnswer: 153664*x**4 - 1176*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32 - -16)\/(3\/(-2)). Let l = x + 63. What are the prime factors of l - ((-28)\/(-4) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.03, 135, 2, 5, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 = f - 22, 7 = 2*l - f. Differentiate -3 - l*z**4 + 0*z**3 + 5*z**4 + 0*z**3 with respect to z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8946 - -8944. Which is the second biggest value? (a) -5 (b) 3 (c) -3 (d) f (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -847.\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -37*s - 52. Let l be h(-8). Let f = l + -242. Calculate the greatest common divisor of 64 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 245*k. Let m(d) = -6*d. Determine n(m(f)).\nAnswer: -1470*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 23251.\nAnswer: 10\/23251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2*w + 2. Suppose 9 = 3*t - 3*h, 3*t + 2*h - 6 = 8. Suppose 0 = -2*i, 2*a - t*a + 4*i + 4 = 0. Let j be p(a). Sort -2, 1, j.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 8*b + 1232. Determine x(-31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1584)*3)\/sqrt(4) + 2.\nAnswer: 1 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5240 is divided by 219?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - y = 39, 2*y = -2*w - 0*w + 12. Suppose -4*f + f + w = 0. Suppose 3*a - 9 = -2*u, -88*a = -90*a + 2*u + 6. Solve f*b = -a - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 846.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -31*s**2 + 14*s - 10. What is i(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52\/(-104) - 2\/(-8)*62 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1100010000 (base 2) to base 9\nAnswer: -1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/15)\/((-4)\/6). Suppose j*t - 46 = -48. Let h(u) = 5*u**3 + u**2 - 1. Let v(d) = d**3 + d**2 - 1. Calculate t*v(x) + h(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.099 - -0.001. Which is the third smallest value? (a) 1\/6 (b) -5\/3 (c) 0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) 5 (d) 7 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 23 = -2. Suppose q - l = -5*b, -b + 2*q = -9 - 4. Which is bigger: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 940725.9911 + -940684. Let x = j + -42. What is x rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 376.88 + -377. Let n = l - -0.37. What is n rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123385953 and 358.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -h + 6 + 2, 0 = -2*b + 2*h + 8. List the prime factors of -3 + 6 + 6\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2 - 3*u - 1 + 2*u. Suppose 2*o + 1 = 7. Let w(j) = j - 1. Calculate o*w(x) + m(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64197 is divided by 3709.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7458 + 108621?\nAnswer: 116079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*d + 52 + 44 - 501*d - 96.\nAnswer: -139*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b**2 + 25*b - 62*b + 30*b)*(0 + 2*b + 0).\nAnswer: 30*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -4, -21420\/11, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-6)*(-12)\/(-18). Sort i, 3, -2 in decreasing order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 21*o**2 + 26*o - 1. Calculate u(-20).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -415252?\nAnswer: 1\/103813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.73 + -846.\nAnswer: -846.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**2 - 13*q. Let m(k) = -k - 3. What is -3*h(w) + 2*m(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*c - 2 = 483*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 486569164*g**6 + g**4 - 186096352*g**2.\nAnswer: 58388299680*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:50 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - -23. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 0, 0.485 in descending order.\nAnswer: 30, 0.485, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3305 is divided by 78.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3227\/109341?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 79269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -4b?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14522510465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -176, -244, -312, -380, -448?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/10048880 and -77\/4?\nAnswer: 10048880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.276 - -0.006. Let k = r - 0.03. Put 1\/11, 2, k in decreasing order.\nAnswer: 2, 1\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2507 + 2505. What is the nearest to u in 0.1, -0.014, 1?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2605 + -627. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:03 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000540993257 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/sqrt(10) + sqrt(45)\/sqrt(9) + 5 + ((sqrt(60)\/sqrt(6))\/sqrt(2) - (sqrt(605) + (sqrt(605) - ((sqrt(605) - -3*sqrt(605))**2 - sqrt(605))))).\nAnswer: -28*sqrt(5) + 9685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.145 - 0.024764.\nAnswer: -0.169764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7989.2 - -7989. Put -5, g, 0.2, -41 in ascending order.\nAnswer: -41, -5, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 40\nAnswer: -23\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19929 and 9490.\nAnswer: 199290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 6*k + 50. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752563 bigger than 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/24192 and 47\/31968.\nAnswer: 895104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 + 13*k**4\/24 - 6*k**3 + k**2 + 49. What is l(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29.32 and -0.2.\nAnswer: -5.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 3. Let c(k) be the third derivative of -k**5\/60 - 970*k**2. Calculate c(f(i)).\nAnswer: -4*i**2 + 12*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.8 - -24. Let u = -2.2 - k. Let w = 4 + u. Which is the second biggest value? (a) 5 (b) 2\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = 21. Suppose 5*l = n + 6. Suppose 3*f + 5*h = -3 - 20, 2*f + 3*h = -14. What is the nearest to -1 in 0, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1. Let g(h) be the first derivative of -h**3\/3 - h**2\/2 - h + 9. What is -3*c(o) + 2*g(o)?\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)\/q*(q\/(q**34\/q))\/q*q**13\/q*q**0*q*q assuming q is positive.\nAnswer: q**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 20*i + 648 = 0. Suppose 44 = -0*s + s. Calculate the remainder when s is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 7*x**5\/45 - 22*x**4\/9 + 8*x**3\/3 - 78*x**2. Factor f(o).\nAnswer: 4*(o - 6)*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 24. Let g = -235 - -393. Suppose -g + 6 = -2*d. Calculate the remainder when d is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -21 + 87. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0*q + 2*q + (2*q - 5*q + q)*(0 - 1 + 3) + 0*q + 0*q - 5*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17 and (96\/26)\/4 - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*j**3 + 3*b**3*j + 432*b**2*j**3 - 247*b*j**2 - 9*j**3 wrt b.\nAnswer: 6*b*j**3 + 18*b*j + 864*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*22\/(-16))\/((116\/16)\/(-29))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h*h\/(h\/h**(2\/3)*h*h*h))\/h)**(-6)\/((h**(-2\/5)*h)\/h**5) assuming h is positive.\nAnswer: h**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17115509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-12))\/(-1))\/((-108)\/(-162)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 2*z**3 - 2*z**3)*(0 - 1 + 0) + (2*z**3 - 2*z**3 - 2*z**3)*(4*z - 2 + 2).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**4 + 4*n**2 - 4*n - 2. Let o(c) = -c**4 + c**3 + 3*c**2 - 4*c - 2. Let i(a) = -3*g(a) + 4*o(a). Factor i(r).\nAnswer: 2*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 25. Let y be i(6). Let j = -41 - y. Let h(x) = x - 4. Let f(z) = z - 1. Let b(n) = j*f(n) - h(n). Calculate b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1632)\/672)\/(12\/24)\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10173 and 3.\nAnswer: 10176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 8:46 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 25 - 5. Let l be (-8 - m)\/(-2 + 1). Solve -o - l*o - 2*p = 2, 3*p + 17 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let v = 12.3 - 19.3. Which is the third biggest value? (a) f (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.23123 to one dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = p + 2, 2*n + 2*p - 8 = 0. Suppose 5*z - n*m = 26712, 3*z + 3*m + 16029 = 6*z. Let o = z - 3127. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jujj when four letters picked without replacement from {s: 5, j: 14, u: 1}?\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)\/(b*(b*b\/b**(1\/2)*b)\/b)*b**(-2\/3)\/(b**(-5)\/b))\/((b\/b**(-2\/3))**(16\/9)*(b**(2\/5))**(-32)) assuming b is positive.\nAnswer: b**(3583\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/53300309 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 14. Does 9 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyymsmys. Give prob of sequence sy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58867*h**5 - 5013*h**2 - 589*h + 2?\nAnswer: -3532020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -232*x - 526?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3198304.801 to the nearest 100.\nAnswer: 3198300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2. Let d be i(-2). Suppose d*m - 8 = -4. Solve m = -5*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 33 = 4*x, 0 = -3*x - 2*x + 4*t + 30. Suppose 2 + 4 = x*j. List the prime factors of 92\/12 - 2\/j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 20*i**2 - 16*i - 30. Let x be l(-2). Let s = x - 78. Solve -b - 25 = s*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589*-5688\nAnswer: -3350232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -203102213333 (base 4) to base 14\nAnswer: -132b691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -106571391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + 3*w**5\/40 - w**4\/4 + 5*w**3\/3 - 12*w**2. Let n(m) be the first derivative of l(m). Find d such that n(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3799, 3840, 3881?\n\"Answer: 41*w + 3758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 67 + 41)*(2 + 2 - 5)*(2*k + 2 - 2).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.847 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m - 4. Let u be (-3*1\/m)\/(-3). Let q = -0.13 - 4.87. Put q, u, 1\/2 in descending order.\nAnswer: 1\/2, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5027 + 5029. Let n(y) be the first derivative of -1\/21*y**3 + 0*y + 20 - 3\/14*y**a. Factor n(d).\nAnswer: -d*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44332 - 12?\nAnswer: -44344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j + 33. Let a be (-16 - -2)*10\/(-4). Let v = a + j. Solve 0*m = -v*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 2*b - 4. Let k(j) = j**2 + 41*j + 185. Let t be k(-36). What is x(t)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*-1*1\/(-2). Suppose g*y = 3*q - 29, 0 = -4*q + y - 3*y + 62. Suppose 0 = 3*i - 2*c - q, 4*c = -5*i + 4*i + 23. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(9 + -4 + (-874)\/174). Let b = -542 - v. Is b a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18796 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - (-2)\/((-28)\/(-1802)). Suppose 4*h - 102 = -b, 4*b - h - 356 = -4*h. What is the highest common factor of b and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:31 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1826 + -4.289?\nAnswer: -1830.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**2. Let f(y) = -136*y. Determine f(u(g)).\nAnswer: 1496*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-196)\/(-24))*147. Let r = 30 + -12. Calculate the highest common divisor of r and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*j + 961 - 1207 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 568237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -120.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/15)*(i\/(i**(2\/5)\/i))\/i*i**0\/i*(i**(-1\/7)*i)\/i*(i**(2\/11)*i)\/i**(-5)*(i**(-1))**(-34) assuming i is positive.\nAnswer: i**(45629\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 88488058.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(-5 + -1 + sqrt(108) + -1)*-3 + -1.\nAnswer: -505 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 6}. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + 3*s, -8*d - 22 = -3*d + 2*s. Which is the second biggest value? (a) d (b) -2 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(20\/40). Let s = a + 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/93 and -10\/713?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**3 + 75*b**2 + 1875*b - 61. Factor l(n).\nAnswer: 3*(n + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/789521840 or -1?\nAnswer: 3\/789521840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003435, 2006861, 3010285, 4013707, 5017127, 6020545?\nAnswer: 7023961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-4)*(-2)\/(-3). Let q = 9376 - 37515\/4. Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481485897 + 2*i**3 + 481485897.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*b + 3 + 25, 3*b = 3*r - 12. Is 2\/(4\/b) - -10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*a + 21*a - 19*a + 62 + 32, -6*a + p = -310 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1)\/b)**21)**(-2\/15) assuming b is positive.\nAnswer: b**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 - 17123*t - 6 + 16.\nAnswer: -17123*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 991\/10695 + -7\/93. Let u = s + 914\/345. Let r = u + -1\/6. Which is the closest to -12\/5? (a) -2 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23952823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78368 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, -47, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -65, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 824105*x**3 + 679149051025*x**2\/2.\nAnswer: x**2*(x + 824105)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -288.959 - 0.041. Let j = m - -289.0000571. Round j to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/3872 - 1564225\/34848. Is -1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 3*z - 34*z = -9*y + 290, 0*y - z - 2 = -0*y - 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -4\/3, -3\/5, 0.3, -40, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e71 + -34bb?\nAnswer: -254a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*i + 144. What is the least common multiple of i and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*x, 26601*o - 26604*o = 5*x - 57 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270154?\nAnswer: 2, 135077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8197 and 30446?\nAnswer: 213122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)*d**11*d**(-10)*d\/(d*d*d**(-2\/47)*d*d))**(-27) assuming d is positive.\nAnswer: d**(15174\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + -10001011100100100000?\nAnswer: -10001011100100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159*d**6 - 30*d**2?\nAnswer: -19080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*m + 469*m + 25 + 7 = 5*x, -2*x = -2*m - 2*m - 32 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90318 + 3432569\/38. Let x = f - 1451\/171. What is the common denominator of x and 115\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.741 - 2.7409998007. Round j to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 1.5, -4, 3\/7?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 3*r**5 - 137 + 75\/2*r**2 - 162*r + 217*r**3 + 429\/4*r**4. Find x, given that m(x) = 0.\nAnswer: -27, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 53.9999635. What is d rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 5)\/(27\/(-90)). Let z = 23 + f. Which is the smallest value? (a) -2 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 f, and 1 k when four letters picked without replacement from kfkhfhkffqsqqqqq.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -14. Suppose m = o*m - 9. Suppose 3*u + l - 11 - 1 = 0, 0 = -4*u + m*l + 16. Let g(p) = -p + 3. Determine g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -0.2. Let l = 8 + -3. Suppose 0 = 19*w - 11*w + 40. Which is the closest to m? (a) 2 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 18 + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 420\/(-40)*(-764)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5544 and 8904.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*u + 5*u + 37*u + 481 - 11517 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4158777 divided by -931.\nAnswer: -4467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*o = 3*o + 1 - 9, 0 = 5*k + 1316*o - 1315*o - 43 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1209304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -3\/8 (c) -2\/11 (d) -5435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/6 - 2*n**2\/3 - 5*n\/6 - 1\/3.\nAnswer: -(n + 1)**2*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3*2\/(-3) - (0 + -137)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2122 - 13?\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 237 + 99 = 0. What is the smallest value in -5\/8, -0.3, -0.2, k?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**2*y - 3*t**2 - 21*t*y + 5*t - 25743*y wrt t?\nAnswer: 4*t*y - 6*t - 21*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 5 in increasing order.\nAnswer: 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-4) + 4843 + -6 + (-42)\/(-6). What is the highest common factor of w and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from popophwpow?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.2, -0.3, -1\/6, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 2. Let x be z(-5). Suppose 5*i - 1 + 0 = 3*c, 4*c - 2*i = -6. Put 0, x, c in decreasing order.\nAnswer: x, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4042, 4040, 4036, 4030, 4022, 4012, 4000?\nAnswer: 3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11136762 to the nearest integer?\nAnswer: 3337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2*s)\/s**(-3)*(s\/(s*s**(-2\/7)*s))**46*(s*s**(3\/5)\/s)\/s**(3\/4)*(s*s**(-1))**(7\/2) assuming s is positive.\nAnswer: s**(-3641\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*a = 200*a - 24. Suppose a*t + 7892 = 8*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let h(k) = 354964*k**2. Determine h(m(o)).\nAnswer: 354964*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 21*f + 242. Give h(27).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 25*c**3 - 1712*c**2 - 9570*c + 11. Let k(h) = 5*h**3 - 344*h**2 - 1915*h + 2. Let b(m) = -11*k(m) + 2*s(m). Factor b(u).\nAnswer: -5*u*(u - 77)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -0*t - 2*l + 40, 4*t = l - 29 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*a = 6*a + 9, 9 = -3*d - 3*a. Suppose 0 = -q + 3*q - d. Suppose 5*g - 26 = -q. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74186148.\nAnswer: 2, 3, 6182179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, u: 1, i: 3, j: 2}. Give prob of picking 3 i and 1 t.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 3*m**2 + 47*m - 26. Determine o(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44700*14\nAnswer: 625800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -515*j**8\/336 - j**6\/60 - 635*j**4\/24 + 1421*j**2. Find the second derivative of i(l) wrt l.\nAnswer: -10300*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3101*n + 8061. Calculate l(-3).\nAnswer: -1242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960319536?\nAnswer: 2, 7, 17502853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*u - 6 = 2, -2*u = -2*b + 8. Suppose 2*g + 10 = b, 4*c + 4*g + g - 47 = 0. Is (c\/5)\/((-6)\/(-20)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220486400 and 1052800.\nAnswer: 1543404800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27236857 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28607 is divided by 205?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -g - 4*g + 11, 4*g - 5*v = 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 812201, 2\/11, 5 in increasing order.\nAnswer: -0.2, 0, 2\/11, 5, 812201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540709585 to the power of 1\/3, to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/14 - 35\/(-245)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + 3a49471?\nAnswer: 3a4945c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 18703.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l**2 - 3*l + (6*l - 5*l + 0*l)*(0 - l + 0) + 0*l**2 - 4*l**2 + 2*l**2 + (-2 - 28 - 6)*(2*l**2 - 3*l**2 - 7*l**2).\nAnswer: 284*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*r = 1268*r + 17192 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -23085*g**2 + 8*g + 23085*g**2 + 3*g**3 + 2*g**5 - 13*g**3 = 0. Calculate g.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 4*j**2 + 9*j - 7. Let o be y(6). Let s = 45 + o. Let p be 0 - (s\/12)\/(-5). Are p and 0.06 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*d + 3338 = 0, 0 = r + 3*d - 338 - 1311. List the prime factors of r.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43595 + -43591. Let k(t) = -2*t**3 + 7*t**2 + 13. What is k(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*l - 217 + 321 + 344 - 36*l + 11*l to the form v*l + i and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:07 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 14*s - 4 = -3*k, -563*k + 3*s + 1 = -559*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341120 = -186*u - 347*u. What is the greatest common factor of 1504 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2628420 divided by 3\nAnswer: -876140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 13*o**2 - 140*o - 559. Is p(-62) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39 and -72\/4865?\nAnswer: 4865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - 3*g)*(-2*g - 624*g**3 + 51 - g + 625*g**3).\nAnswer: -g**4 + 3*g**2 - 51*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {a: 2, q: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*108\/(-90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 10, 2*i + 39*m - 429253 = 34*m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -280, 1\/10, -6.2, -4, 4?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65193.05ng in milligrams?\nAnswer: 0.06519305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, m: 9}. What is prob of sequence yyy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*k + 19 = -k, 5*c + 10 = -5*k. Let d(y) = -y**2 - 13*y + 14. Let o be d(-14). Let g(w) = -w - 5. Let x be g(o). Put x, c, 0 in decreasing order.\nAnswer: 0, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 10. Let o be (-4 + 136\/16)*(-4)\/(-6). Suppose h*i = o*i - 1575. What is i rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:06 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 - (-3 - -2 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 927 and 11110095?\nAnswer: 11110095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 2:05 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45666*3.\nAnswer: -136998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 8*g = 65. Let y(u) = 51*u - 5. Let v be y(2). Suppose v = 5*r - 98. Calculate the greatest common divisor of r and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g - 70*g = -199*g + 1127 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1.2. Let h = -1.2 - v. Let x = -1 - -1. Is x at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.44 + 2.44. Suppose 0 = -0*p - 2*p - 10. Which is the closest to 1\/5? (a) 3 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhwhwhwhhwwwwpwww. What is prob of picking 2 h and 1 w?\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2811, -2825, -2839, -2853, -2867, -2881?\n\"Answer: -14*v - 2797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(1888\/(-15))*(-95)\/(-475)?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 76\/(-8))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.4, 2\/7, -1, -0.205?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5705.9 - -5706. Which is the second biggest value? (a) -4\/7 (b) f (c) -0.3 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29107141, -58214273, -87321405, -116428537?\n\"Answer: -29107132*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/(6\/42*-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfac when four letters picked without replacement from {f: 6, c: 3, a: 1, p: 1, o: 2}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -5 (c) 1\/6 (d) -75 (e) 2 (f) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 2. Let k = 355.623 - 0.623. Let d = 354.7 - k. Which is the closest to -1? (a) -2\/3 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3399733559.99999996 - -3399733504. Let f = -56 - w. Round f to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2\/5, -515, 0.5 in decreasing order.\nAnswer: 4, 0.5, 2\/5, 0, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = 35*z + 6*z - 1156. Solve -q - z = -40 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*r**2 - 4432*r + 234 = 0. What is r?\nAnswer: -117\/7, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5040 and 2448?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from soosssss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Sort -6\/11, x, -2\/15 in increasing order.\nAnswer: -6\/11, x, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18477.694 and 5.\nAnswer: 92388.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 9. Give q(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1169, -5641, -13093, -23525, -36937, -53329, -72701?\n\"Answer: -1490*c**2 - 2*c + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 t, and 1 f when four letters picked without replacement from uuuufffutt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*k**3 - 298\/3*k - 148\/3 - 152\/3*k**2.\nAnswer: -2*(k + 1)**2*(k + 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 44 = -103 - 57 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-4*b + 5*b - 2*b)*(-b - b - b)*(-4 - 2*b + 4).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l**(3\/8))\/(l*l**6)*(l\/l**(-3\/13))\/(l\/l**6*l) assuming l is positive.\nAnswer: l**(271\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -177*o + 5. Let s = 13 - 8. Let n be q(s). Round n to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 2:24 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)*10\/(-1). Is 14 a factor of 1\/(-5) - 142\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.55 (b) -270 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*f + 20 = 0, -2*f + 0*f = -3*a + 8. Let v(t) be the second derivative of t - t**3 + a + 0*t**2 - 1\/4*t**4. Factor v(x).\nAnswer: -3*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 19*f + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8162 divided by 22\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1333123919 and 1.\nAnswer: 1333123919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (530\/40 + -6)\/((-1)\/(-4)). Let o be (-6)\/27 + h\/9 + -18. Let v be 2\/6 - (-78600005)\/o. Round v to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7871 + 10719 = -1121*x - 8863 - 7298 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 0. Solve 3*b + c = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 5 (c) 1\/5 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2\/2 + 2*b + 1. Suppose 4*c - 35 = 5*k, 5*c + 3*k - 74 = -21. Suppose 3*q - 4 = -c. What is n(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuyuyuejjjuuujjjuuu. Give prob of picking 3 u.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 97, 118, 125, 112, 73, 2, -107?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 7*h = 2*h - 21, 2*g + 3*h - 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**8\/3864 - 8*f**2 - 21*f. Let v(t) be the first derivative of r(t). Find a such that v(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67285440, -134570878, -201856316, -269141754, -336427192?\n\"Answer: -67285438*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.82 to the nearest integer.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d - 25*d - 1275 = 0. Suppose -d - 43 = -12*k. What is the remainder when 152 is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0, 8, 12992 in ascending order.\nAnswer: -57, 0, 8, 12992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15342352 (base 6) to base 5.\nAnswer: 114323200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/(-6)) + 2. Suppose 4*c + 1 - 5 = b. Suppose c = -2*t + 5. Solve -w - t*w + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -5)*(-6 + 9). What is the third derivative of 18*m**2 + 3*m - 8*m**2 - 6*m**4 - 3 + 8*m**2 + r + 9*m**3 wrt m?\nAnswer: -144*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3742106744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, -0.1, 0.4, -3, -3.1, 2\/75?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x - 3*x - x)*(1755 - 117 + 353)*(4 + 5 - 3)*(-2 - 3 + 4) in the form c + z*x and give z.\nAnswer: -35838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3577.5 + -4487. Let w = 910 + c. Sort -0.3, 2, -0.14, w in descending order.\nAnswer: 2, w, -0.14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 41*s**2 + 335*s + 59. Let z be m(48). Solve 42*t - 46*t = a - z, 0 = 5*a + 3*t - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 5*y - 8. Let x be o(6). Let n be 3*(-4)\/(-6)*x. Let q(v) = v**3 + 5*v**2 + 7*v + 4. Determine q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*i - 237*i - 54 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose -v = a*v - 8. Determine l so that 2*l**2 + 2 - 2*l**4 + 2*l - 2 - v*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692468, 692341, 692214?\nAnswer: 692087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4, 56*b + 2*z + 16 = 60*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 26204390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.3 - 14.3. Sort 3\/7, o, 0.15 in descending order.\nAnswer: 3\/7, 0.15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(26)\/(sqrt(2)*3) + 0.\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 - 640*b**2 - 642*b = 0.\nAnswer: -1, 0, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 11) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10430391 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*t = -0*i - 17, -3*i - 4*t + 41 = 0. What is the remainder when 55 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -105696.\nAnswer: -105688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) -5 (d) 5 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192470721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.3. Let g(m) = -m. Let x be g(-5). Sort c, x, 2.\nAnswer: c, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10 + 12 + 62*f + 5. Let n be g(3). Let r = n + -128. Calculate the remainder when r is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 2*w**2 + 4*w + 2. Let p be u(4). Let f = 130 + p. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 7:25 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212521 (base 6) to base 10.\nAnswer: 17473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -255, -511, -767, -1023, -1279, -1535?\n\"Answer: -256*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 193*s - 345*s**2 + 345 - 345*s - 5*s**3 + 157*s = 0.\nAnswer: -69, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 6) + 4 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -4. Suppose 3*w - 19 = 5. Let v be 60\/w*1\/l. What is the third smallest value in -3\/5, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2600 greater than -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6955 (base 11) to base 5\nAnswer: 243020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74.27867l?\nAnswer: 74278.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 10*b + 162. Suppose -60 = 5*y + 4*k - 480, -4*y + 4*k = -372. What is the remainder when y is divided by j(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7*d + 10*d - 32, s - 4*d - 27 = 0. Calculate the remainder when 163 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114995947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 8124 = 49*f - 3468. Solve 19*u + 4*u = -f for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(567) - sqrt(567)*-1) + sqrt(567) - (-6*(sqrt(567) + 2*sqrt(567)) - sqrt(567)))\/(sqrt(81)\/((sqrt(441) - sqrt(441)*1) + sqrt(441))).\nAnswer: -1260*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10769464 is divided by 1084.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((51\/306)\/((-5)\/2))\/((-1)\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x = 118*x - 37*x - 3125 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21443*p + 24222 wrt p.\nAnswer: 21443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.14 (b) 1.1 (c) -1 (d) -5 (e) 4 (f) -27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 34 - (2 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1618 = a, 61*a - 6392 = 57*a + 4*j. What is a rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by -12.\nAnswer: -245\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174576*j**3 - 1102541*j**3 - 2042926*j**3.\nAnswer: -2970891*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22749, -37044, -51339, -65634?\n\"Answer: -14295*b - 8454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-324)\/(-144))\/(3\/12). Solve m*p = -14*p - 46 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-28)*-3)\/(6\/(-4))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15*q**3 + 16*q**2 - 34*q - 1182. Let r(x) = 12*x**3 - 12*x**2 + 35*x + 1181. Let n(a) = 4*r(a) + 3*w(a). Differentiate n(h) wrt h.\nAnswer: 9*h**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.71105982 rounded to 3 decimal places?\nAnswer: 54.711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 z, and 1 f when four letters picked without replacement from {z: 5, m: 1, w: 3, h: 1, u: 2, f: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 966 a factor of 434851001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -19, -25, -31?\n\"Answer: -6*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5818 + 8530. Calculate the highest common factor of l and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-4)\/15)*36*(-32)\/(-3456)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6978487 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*f - 90, -4*k - 3*f + 53 = -67. Let b = k - 28. Solve 2*d + b = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338743.44 milliseconds in hours?\nAnswer: 0.0940954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 56, 49, 38, 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -659858.52 and 15.\nAnswer: -9897877.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2\/7 - 988*g\/7 - 992\/7 = 0. What is g?\nAnswer: -1, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/693)\/(30\/36)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 3*j**2 + 9 - j + 7 + 8*j**2. Suppose 3*c - m - 13 = 3, 4 = -m. What is the hundreds digit of u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11993 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-7)\/(-42))\/(1\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798508?\nAnswer: 2, 23, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 10 = n, 0 = 5*t - 3*n - 0*n + 26. Let k(l) = 4*l**2 + 3*l - 1. Let p be k(t). What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*b = 35, -335*r + 9 = -334*r - 2*b for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 324, 662, 994, 1320, 1640, 1954?\n\"Answer: -3*g**2 + 347*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -61. Let f be (-1017 - (3 + c))*25*500. Round f to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(0 - 2 + 0) + 6 - 2 - 1 - 4 + 1 + 1)*(2*t**4 - 2*t + 2*t).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**2 - 582525*g + 582520 = 0.\nAnswer: 1, 116504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 14. Let y = -9 + m. Let f(s) = -5 + y + 7*s**2 + 5. Let n(b) = 3*b**2 + 2. What is 2*f(d) - 5*n(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -253*t**9\/504 - t**7\/105 + 169*t**5\/30 - 499*t**2. Find the third derivative of w(b) wrt b.\nAnswer: -30360*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 69992.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from cccvcccccccvc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*l**2 + 54*l**3 - 1 + 170*l**2 + 14 - 45*l**3 - 8*l**3.\nAnswer: l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 2*m**2 + 2*m - 1. Let z(h) = -7*h**3 + 21*h**2 + 21*h - 4. Let g(k) = -4*c(k) + z(k). Give g(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37 + -84405)*(-9)\/6*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by 23\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386 or -430?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (25\/(-2))\/(3\/(-30)). Let g(u) be the third derivative of u**4\/4 - 5*u**3\/6 + u**2. Let t be g(5). Calculate the highest common factor of r and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -a729?\nAnswer: -a728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4\/4 - 35*t**3\/4 - 5*t**2 + 15*t.\nAnswer: -5*t*(t - 1)*(t + 2)*(t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3539646 is divided by 589941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/569 - -2852\/3983. What is the nearest to -2\/3 in -5, 2\/13, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*u + 10 = -131*u. Suppose 2*j = 4*x + 29218, -x + 58391 = 2*j + u*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361976492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 116 + 41 + -25\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 0.2, -659?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5314 - 17*a**2 - 5314.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*g - 24 = -85, 0 = -4*m + g + 56. Let v be (15\/(-20))\/1 - 1\/4. Sort v, -4, 2, m in ascending order.\nAnswer: -4, v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192147859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c - 1356b8?\nAnswer: -13562a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -20*k - 147. Let s be h(-8). Solve -p = w, -18*w + 32 = -3*p - s*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -20. Let c = 11 + f. What is the nearest to 1 in -2\/11, 3\/2, c?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 11*l**2 - l + 2. What is g(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16912 and 8039542?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2341.1631 minutes to hours.\nAnswer: 39.019385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*s**5*t + 15*s**3*t**2 - 12*s**2*t - 2*s**2 - 197*s*t**2 wrt s.\nAnswer: 6960*s**2*t + 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p + 97. What is the tens digit of i(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75708 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:33 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.4, -5, -14, -0.1 in increasing order.\nAnswer: -14, -5, -0.1, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 342, 766, 1366, 2148, 3118, 4282, 5646?\nAnswer: 7216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -5176 and -15524\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -182 + 1?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 5*b**2 + 5*b. Give s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/63 - (-341397)\/49. Suppose 0 = 10*v - j - 1133. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-4) + 1\/(-2). Let u = -23583 - -23583. Sort l, 15, u.\nAnswer: u, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2435 - -8232. What are the prime factors of w?\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68\/7, 6, -3\/4, -0.1, 2199 in increasing order.\nAnswer: -68\/7, -3\/4, -0.1, 6, 2199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -90*m + 9. Is 31 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 12:42 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 124 = 2*h, h = -3 + 1. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7833034.\nAnswer: 2, 11, 463, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*t**4 - t**2 + t + 32*t**4 + 2 - 1 to j + n*t**3 + i*t**2 + m*t**4 + v*t and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7235, -3, 444?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1396475*v + 24. Let q be z(7). Let o = -4825301 - q. Round o to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, -2, 18, -17, 5, -3.\nAnswer: -17, -3, -2, -1, 5, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003088 to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: d87 (base 15) to base 4\nAnswer: 233230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -8. What is the remainder when a\/1*10\/(-4) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t. Suppose 3*y + 2*y - 3350 = t. What is y rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from fwwffpwf.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - 1022201210010?\nAnswer: -1022201211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171.4379 - 0.2621. What is c rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 11867 + 11867.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 19*s - 22. Calculate z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/4, 2\/19, -3\/20?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*59936\/48)\/(2\/3) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3954 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -4, -0.2, -13 in descending order.\nAnswer: 0.1, -0.2, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*o, k = 2*o + 2*o + 28. Suppose 93*w - 237 = 92*w. Suppose -w = 12*h - 741. What is the remainder when h is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*1340\/3216*2\/(-55)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 - -270. Let m = 148 - z. Solve 0 = 3*i + 6 - m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*w**2 + 182*w**2 - 285*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*-3*-5)\/(sqrt(4) + sqrt(324) + sqrt(4)).\nAnswer: 16*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12434724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.17 * -0.025.\nAnswer: -0.42925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 254 + -16256214?\nAnswer: -16255630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -21. Suppose 2*t - k + 1 = 0. Let s(f) = 2*f + 1. List the prime factors of s(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3223304444 (base 5) to base 14.\nAnswer: -ca5a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -9528394143.\nAnswer: 9528394142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/(j*j**4)*(j\/j**(-2\/7))\/j**(3\/5))\/((j*j**(1\/3))**(3\/23))**(-10) assuming j is positive.\nAnswer: j**(1952\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 260 + -225. What is the remainder when 39 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -75. Let c = 77 - 14. Calculate the remainder when c is divided by 6\/4*v\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211 by 13.\nAnswer: -211\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -118888*p + 8. Suppose -12 = -4*m - 5*l, -3*m + l - 5*l + 9 = 0. Let u be 1\/m - (-224)\/(-24). Let w be b(u). What is w rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o**3 - 1. Let u(f) = -2*f. Give a(u(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.91, -1\/6, -2\/29 in decreasing order.\nAnswer: 0.91, -2\/29, -1\/6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-216)\/(-15))*714\/(-170)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 5, h: 8}. What is prob of picking 1 e and 1 r?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let t(g) be the second derivative of 150*g**4 - 117*g. What is m(t(j))?\nAnswer: 6480000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 7.5.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 - 5*r - 12. Suppose -98 = -13*q - 20. Let v(h) = 20*h**2 + 20*h + 50. Let y(a) = q*v(a) + 25*m(a). Let y(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 15*m**2 - 17*m + 30. Let t be s(-14). Suppose 8*r = -r + t. Let u(n) = -20*n - r*n + 10*n. Let f(k) = 2*k**2. Calculate u(f(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -32, 0.\nAnswer: -32, 0, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16811\/247632 + -35\/528. Let v = r + 55327\/9380. Calculate the common denominator of 59\/7 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 682*c**3*f - 2*c**3 + 190*c - 240*f - 9624 with respect to c.\nAnswer: 2046*c**2*f - 6*c**2 + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**3\/2 + u**2\/2 - u. Suppose -6 = 11*t + 5. Let l be j(t). Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**16\/q)**39)**(-43) assuming q is positive.\nAnswer: q**(-25155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*c + 2*c + 5, -2*p + 4*c + 24 = 0. Let k(i) = -i**3 + 5*i**p + 4 - i + i. Let s be k(5). Calculate the greatest common factor of 36 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320) + (-1 + sqrt(320) - sqrt(320)) + -2 - (4 + -2 + (sqrt(10)\/sqrt(2) - sqrt(5)))*2)**2.\nAnswer: -128*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -11*d + 17. Suppose 70*n - d*c = 73*n - 2190, -2*n + 1467 = 5*c. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.2, -0.2, 1093, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 + 129. Let y(d) = -d**2 + 1. Let f = 13 + -14. Let o(z) = 2*z**2 - 2*z - 6. Calculate f*o(j) + u*y(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10821, -10822, -10823, -10824?\n\"Answer: -g - 10820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 26214 + 2*y + 26209 to the form i*y + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let h = 224 + -221. Let r(k) be the first derivative of -1\/2*k**2 + h + 0*k. Calculate p(r(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 3966.\nAnswer: -1983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -136*x**3 - 17*x**2 + 17. Let d(q) = -17*q**3 - 2*q**2 + 2. Suppose 0 = 239*p - 231*p + 16. Determine p*h(a) + 17*d(a).\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__add_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: Express 129*w**2 - 99 - w - 131*w**2 + w as g + o*w + y*w**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 30. Let n = -6 - -6.4. Which is bigger: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 953 (b) 5 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 987204017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-22 - (-3 + 12 + -20) - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -31288000 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191264313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -517\/34 + 267\/17. Let f(w) be the second derivative of -1\/6*w**3 - 10*w + 0 + n*w**2. Let b(j) = -3*j + 5. Calculate -b(o) + 4*f(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 26. Suppose -g*n + 53 = -27. Solve -m = 4*m + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.2, -15370, -4\/25, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215.2 - -215. Is w >= 5\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483626982533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168 + 267. Suppose 0 = -90*h + c*h - 99. What is the smallest common multiple of 98 and h?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 1\/36*n**4 + 3\/2*n**2 - 9*n - 1\/3*n**3 + 0. Factor u(w).\nAnswer: (w - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -282*k + 5. Let s be f(0). Solve -5*u - 23 = b, -u - s - 2 = b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 5*r**4\/24 - 2*r**2 + 147*r. Let v(l) = 76*l**2 - 2*l. What is v(h(x))?\nAnswer: 1900*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from hvjvjbphbiijjhv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -91. Let r = -87.38 - f. Let s = r - -0.88. Which is the smallest value? (a) s (b) -5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 874 + -347. Is (2 + 4\/(-4))*r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 11. Let x be n(-9). Let p(y) = -y - 4. Let j be p(-6). What is the third derivative of 37*r**3 - 3*r**2 + j*r**x - 46*r**3 wrt r?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:24 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r*r**0*r*r*r*r*r))*r\/((r**(-1)\/r)\/r)*r)\/(r*r*r**0*r*r)**18*((r**1)**8)**34 assuming r is positive.\nAnswer: r**213","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/21, -0.3, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7890 divided by 6.\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1522563758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 136, 203, 268, 331?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/7, -739, 4, 0.3, -5 in decreasing order.\nAnswer: 4, 0.3, 0, -2\/7, -5, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.035, -2\/5, -0.2, -5 in descending order.\nAnswer: 0.035, -0.2, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(5\/(-2)))\/((1604\/140751)\/((-4)\/(-18)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48\/65 or 0.06?\nAnswer: 48\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 174.34\nAnswer: -69.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z - 44 = 0. Calculate the highest common divisor of z and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1624 and 1339597?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/30 + (-626)\/30. Let j = u + 22. Suppose 5*y = 2*i - 18, y = -0*i + 2*i - 10. Solve n + i + j = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.6 + -8?\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 1 = 3*l - 5*q, -5*q = 25. Let u(t) = t**2 + 4*t + 5. Let m be u(l). Solve 3*y + 22 = -m*j, -2*j - 3*y = -j + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(624) - -2*sqrt(624) - sqrt(624)))\/(2*sqrt(363)*2))**2.\nAnswer: 468\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39774318 and -0.1.\nAnswer: 3977431.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 157\/12*j**4 - 6 + 0*j**2 + 5*j - 11\/6*j**3. What is the second derivative of k(f) wrt f?\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1127, -1, 2, 3, -9 in increasing order.\nAnswer: -1127, -9, -1, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 11*d + 3. What is f(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:28 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2635220*l - 2635561*l + 6138 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = 5*t - 337, 2*n - 5*t + 19253 = 19312 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930912 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = -3*u. Suppose -2*v = 4*h - 4 - 0, -5*h + 3*v = -16. Let d(p) = 5 - 5*p + 4*p**h + p - 2 - p**3. Give d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23579511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {m: 4, x: 16}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*r + 16 = 2*b, -2*b + 20 = -4*r. Suppose b*s = -3*y + 765, -2*s + 1274 = 5*y + s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/12 - r**3\/6 - 5*r. Suppose v(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 + 7*i + 2. Let q(k) be the third derivative of -k**5\/15 - k**4\/4 - k**3\/3 - 30*k**2. Determine 5*a(g) + 6*q(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/120 + 13*c**4\/48 + 3*c**3 + 2*c**2 - 2734*c. Factor d(w).\nAnswer: (w + 4)*(w + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15784312.2 times 4?\nAnswer: -63137248.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-8)*(-16)\/(-6). Let p(x) = x**2 + 5*x - 5. Let k be p(b). Let l(m) = m**2 - 14*m - 18. Let v be l(15). What is the nearest to 1 in 4\/9, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -143*q - 257. Let h(t) = 119*t + 257. What is -5*b(j) - 6*h(j)?\nAnswer: j - 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -df (base 16) in base 8?\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(684) + sqrt(304) + (4 + sqrt(304) + sqrt(304) + -1)**2.\nAnswer: 58*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g**2 + 0)*(-115 + 115 - 10*g**3) - 2*g**5 + 0*g**5 + 3*g**5.\nAnswer: -19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25, 112, -4, 0 in ascending order.\nAnswer: -25, -4, 0, 4, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110727225 divided by 24045.\nAnswer: -4605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*x - 240 = -152*x. Is ((-270)\/4)\/(6 + (-130)\/x) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*c**3 - 53*c**3 + 54*c**3 + 96*c**3.\nAnswer: 164*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7247\/8 - -906. Let v(r) be the third derivative of -1\/120*r**6 + t*r**4 + 1\/60*r**5 - 2*r**2 + 0 - 1\/6*r**3 + 0*r. Give v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/8872 and -179\/15171120?\nAnswer: 15171120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 - 615 = -5*i. Let v = 45 + i. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*p**2 - 65\/6 - 3*p.\nAnswer: -(p + 5)*(p + 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 0.1 (c) -6 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*a - 670446560 = -146*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.4. Let v be 4\/((-36)\/(-20) - 3). Let y = v + 4. What is the second biggest value in f, -2\/11, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -14. Let z(o) = 6*o**3 + o**2 + o + 1. Determine z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 0 - 18\/2. Let l(h) = -1. Let v(c) = -c - 158 - 162 + 496 - 169. What is f*l(q) - v(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpt when three letters picked without replacement from pktkpppkpk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -115?\nAnswer: -19\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let d(s) = 534*s - 6. Let l(t) = d(t) - 6*m(t). Let v be l(2). What is v rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 + 6226*q**3 + 161196*q**2 - 24904*q - 644800 = 0. What is q?\nAnswer: -6200, -26, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (0\/(-5) - -4). Suppose -63 = -5*c + 6*k - 4*k, h*k = c - 9. Suppose -c*s + 12 = -27. Solve l = -3*l + s*w, -3*w - 3 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -17. Suppose 5*f - 5691 = -t*y, 3*y + 2*f - 1452 - 4239 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -9 + 21\/2*w - 3\/2*w**2 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w - 17*w**2 + 3*w**3 - 1250230 + 1250230 + 3*w**2 as g*w + v*w**3 + x*w**2 + o and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 3*m**2 + 8*m - 7. Let z be p(-5). Solve -12 = z*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7556.402 rounded to the nearest 10?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017142051 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 114?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013237 to five dps.\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1001010100?\nAnswer: 1001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 + 1330?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16196 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -291e (base 15) to base 11.\nAnswer: -6684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40604129 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1263, 1339, 1477, 1683, 1963?\nAnswer: 2323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 4, h - 3*a - 8 = -2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -39*v**3 - v**2 - 2*v. Let m be s(-1). Calculate the least common multiple of 6 and (-45)\/30*m\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -790 - -789.87. Which is the third smallest value? (a) 5 (b) i (c) -12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-20)\/(-42)))\/(9\/5*575\/(-2760))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:44 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1782888 and 2377184?\nAnswer: 7131552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29963494 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppdaapppa. Give prob of sequence adpa.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 5*f + 15 - 30 + 13)*(-4 - 2 + 1).\nAnswer: -10*f**2 - 25*f + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 42, 67?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191508949.\nAnswer: 3, 7, 3847, 27127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/57 and 103\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h + 31. Suppose -90*s - 115*s - 2050 = 820. What is x(s)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*74303.\nAnswer: 22290.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46283075 divided by 9256615?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 296\/4 - (-2 - -2). Suppose -3*f + 5*u + 62 = -0*u, 0 = 5*f - u - s. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23\/7 of a week?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 354. Let h = -20 - m. Suppose 0 = 2*w - 5*q - h, -182 = -4*w + 4*q + 114. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -24. Let q = 26 - 27. Which is the second biggest value? (a) q (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**3 + 5*l**2 + 3 - 4 + 0 + 0 in the form z*l**3 + b*l + y*l**2 + x and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 504189 - 0.2971813\nAnswer: 504188.7028187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v + 4230 - 2668 = 2402 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/9 - 399497*p\/9 - 399496\/9 = 0 for p.\nAnswer: -399496, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -98 in descending order.\nAnswer: -0.2, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(((-52)\/1515000)\/(-13)). Suppose -5*m + h = -8*m. What is m rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 329, -3\/5, -4\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1121 and 1349.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*u + 163*u + 5*f + 19, 4*u - 2*f = 30. Suppose 0 = -u*h + 10*h - 812. Does 85 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3127)\/(-22737) - (101\/33 - 3)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 5*a**3\/6 + 15*a**2 - 5*a. Let x be w(-6). Factor 0*i**2 + x + 0*i - 14\/3*i**4 - 4\/3*i**3.\nAnswer: -2*i**3*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -22*a**3 - 4*a**2 + 30*a - 9. Let j(r) = 10*r**3 + 2*r**2 - 15*r + 4. Give 13*j(n) + 6*v(n).\nAnswer: -2*n**3 + 2*n**2 - 15*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 48 = h - 2*h, 0 = -4*h. Suppose 4*i + 0*i + 4*u = l, 4 = -4*u. Let o(f) = -f**3 + 5*f**2 - f - 1. Is o(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/24 - (-1)\/4) + (-13)\/(-104). Which is the closest to 117? (a) 1 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28139.608 to the nearest integer.\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w - 74. Suppose 0 = 70*o - 60*o - 110. Let g be y(o). Solve 9*a + g - 21 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 29218 = -2*g, -2*g + r + 14237 = -14963. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtd when four letters picked without replacement from {d: 7, t: 9}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138957*v = -138955*v - m - 1, v - 6 = m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**4 + a**3 + 26004741*a**2 + 14407946*a - 6 wrt a?\nAnswer: 60*a**2 + 6*a + 52009482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516350?\nAnswer: 2, 5, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/5, -0.1, 3\/10, -333?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3))\/((-3)\/9). Let o = 5 + i. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*q = 806 - 2714 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -421 * 5\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482464147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 615399624 by 6.\nAnswer: 102566604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:13 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-128 - 1435)*(-22)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let w(b) = -10508*b + 2354. Let o(a) = 6*u(a) + w(a). Find the first derivative of o(z) wrt z.\nAnswer: -10496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*l - 9*o - 149, -4*l - 5*o = 273. Calculate the common denominator of -83\/2 and (6 - l\/(-10))\/((-2)\/(-36)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6053957 and -0.6.\nAnswer: 3632374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**3 + 2*f**3 + 3*f**3)*(-2*f - 9*f + 4*f + (2 - 3 + 3)*(0 + 0 + f)).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52724769 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 11b14?\nAnswer: 11b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*k - 2*q - 13, 0 = -5*k + 4*q + 31. Solve -k*g + 5*m = m + 8, -4*m + 8 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from mqwqiwwmcjm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 - 4. Let h be m(0). Let p be (-8 + 4)*1 - 17\/h. Factor p*g + 1\/4*g**2 + 0.\nAnswer: g*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7437, -8575, -9701, -10809, -11893, -12947, -13965, -14941?\n\"Answer: q**3 - 1145*q - 6293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48779591 + -0.3.\nAnswer: 48779590.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 0, -5*j + 5*k = -50. What is the lowest common multiple of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14.52, 27698, -4?\nAnswer: -14.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiai.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 3*d**2 - 2*d + 2. What is s(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*b**3 - 94*b**3 + 2*b**2 - 2*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7298.1, 0.2, 1275 in increasing order.\nAnswer: 0.2, 1275, 7298.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/103335 and -157\/30.\nAnswer: 206670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 568585721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1\/2 (c) 11\/6 (d) -5\/12 (e) -23 (f) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 254030058 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - ((-2 - -30) + -54 + -10).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (-2 + -36 + -19 + 64).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*((-9264)\/(-9))\/(-8). Is (w\/(-4) - -4) + (-3)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.2, 17\/7, 4.\nAnswer: -6.2, 17\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + sqrt(245) + 0)**2*5.\nAnswer: 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*5\/10)\/((-42)\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/540 and 103\/195.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 + 17. Let i = 208 - c. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1333524 to 4 decimal places.\nAnswer: -0.1334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/2*1\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794710188 to the power of 1\/3, to the nearest integer?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3\/3 - 6. Let p(t) = 3*t**2 - 5*t**2 + 0*t**2. Give p(v(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h + 4*o, -5*o = 4*h + 11 + 9. Let y = 0 - h. Suppose -y*a = -6 - 9. Solve -a*v - 3 = 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.2. Which is the third smallest value? (a) 0.1 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12035600 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 985 - 985. Is v < -9\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 + 25*s**2 - 10*s - 120 = 0. What is s?\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 37*a + 256. Let c be y(38). Calculate the greatest common divisor of 98 and c.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 - 0 - (7 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111000011111 + -1010010?\nAnswer: 101110111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:03 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 7*y + 12. What is j(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/(-4))\/7)\/((2415\/40)\/(-23))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n = 3. Let x = -8 - -12. Suppose 0 = -n*w - x*h + 16, 0*h - 2*h - 6 = -2*w. Solve -w = -j - j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794673 to the power of 1\/2, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 52 = 4*c, 26 = c - g + 13. Differentiate -c + 25 + 210*h**3 - 13 + 40 wrt h.\nAnswer: 630*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4623179.\nAnswer: 11, 157, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 23 = -5*h - 43, h + 2*z = -16. Let m(r) = r**3 + 5*r**2 - 3*r + 6. Give m(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 7*t - 6. Let y be q(5). Suppose y*f = 2*f - 10. Let p(a) = 8*a**2 - 4*a + 5. Let u(n) = -n**2 + n - 1. Determine f*u(i) - p(i).\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111220 (base 3) to base 8.\nAnswer: -6333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1640 and 9840?\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Let v(i) be the second derivative of 0 - 1\/3*i**3 + 3\/2*i**2 - 10*i. Calculate v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(66\/84))\/2*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -2*t + 3*t + 156 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21606*m**2*v**3*x**2 + 122*m**2*v**3 - 2*m**2*v**2*x**2 + 2*m*v**3*x + m*v**3 + 6*x wrt x?\nAnswer: -43212*m**2*v**3 - 4*m**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 253 + 256 = 0. What is the remainder when 299 is divided by (150\/(-9))\/(t\/(-6)*2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, t: 2, s: 1}. What is prob of sequence csc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -625524 divided by 1?\nAnswer: -625524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 7000?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 371b - 19b?\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 3*k + 72. Let v = 28 - k. Solve -v*t - 28 = -9*t + 2*j, t + 16 = -5*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1097 divide 427695069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 73836?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c + c)*(-4*c**4 - 7*c**4 - 55*c**2 + 56*c**2).\nAnswer: -11*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide (-6 + (20\/9)\/((-6)\/(-27)))*3764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/289647 or 1?\nAnswer: 2\/289647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1353706\/55 or -24614?\nAnswer: -1353706\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980902927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2318 and 4902.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.17 + 0.23. What is the smallest value in a, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.51 + 1.49. Which is the nearest to 15? (a) 5 (b) -2 (c) x (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g = 17 - 185 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -150*g + 711. Solve -l + 3 = 3*m, g*m - 2*m = -5*l + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + 1.5. Let q be (-4)\/6 + 55\/15. Suppose -5*d = -4*r + 26, 0*r + q*r - 4 = -4*d. What is the nearest to -0.1 in b, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 + 195 + 125)*(-21 - 5*n + 21)*(-2 + 1 - 1 + 8 + 3 - 5 + (1 - 3 + 1)*(-2 + 4 - 1)).\nAnswer: -9000*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 3, d: 4, q: 1, j: 2}. What is prob of sequence jj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 + -1 + -96 + 64\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2. Let d(b) be the third derivative of -4*b**4\/3 - 5*b**2. Determine d(y(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4108573161.\nAnswer: 3, 7, 11, 967, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 722633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 4*t**3 - 25 + t**3 - 4*t**3.\nAnswer: t**3 - 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -319031, -1276329, -2871825, -5105519, -7977411, -11487501, -15635789?\n\"Answer: -319099*y**2 - y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324 + 321. Sort u, 3\/2, -0.2, 3 in ascending order.\nAnswer: u, -0.2, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101 (base 3) in base 8?\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 6*i**2 - 5*i.\nAnswer: -i*(i - 5)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190005 by -6.\nAnswer: -63335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by -63.\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.96 + 5.96. What is the second smallest value in 1\/3, 18, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(11\/3))**(-1\/7) assuming n is positive.\nAnswer: n**(22\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 2290, 3647, 5224, 7087, 9302?\nAnswer: 11935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:16 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4251732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + d**3 + 307*d**4 + 6*d - 13 - 300*d**4 - d**2 + 3*d**2 to n*d**3 + s*d**4 + q + v*d + b*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4 + m - 5 - 3*m. Let a be t(-5). Solve 0 = 5*b - a - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*v**3\/2 + 7*v**2.\nAnswer: -v**2*(13*v - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 4:05 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 - 5*p - 6. Let y(v) = -3*v**2 - 6*v - 7. Let s(l) = 2*g(l) - 3*y(l). Let f be s(9). Solve -2*r + 10 = -f*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*c = -621*c - 1512 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 + 108*u**2 - 99*u - 210 = 0. Calculate u.\nAnswer: -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50228702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1875 is divided by 145.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.8 - 9.496. What is m rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-50))\/((-162)\/2052))\/(-4*(-4)\/240)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -28*c**2 + 27*c + 59. Let j(k) = 80*k**2 - 82*k - 172. Give -6*j(l) - 17*z(l).\nAnswer: -4*l**2 + 33*l + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177054 and 944288.\nAnswer: 2832864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 8) to base 6.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p - 1. Let q be n(-2). What is the second biggest value in q, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532 (base 9) to base 10.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 25 = 5*t, 4*t - 15 = t + c. Let n(i) = -3*i - 22. Let d be n(-9). Solve d = -t*j + 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6788 is divided by 94?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1\/2))\/(b*b\/(b*b**(-2\/7))))**30)**(-47) assuming b is positive.\nAnswer: b**(-2115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1126 + 1131. Let z(c) be the first derivative of -g + 12\/11*c**2 - 10\/33*c**3 - 8\/11*c. Solve z(x) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5722\/4025 + 4\/575. Suppose 2*o**4 + 0 + 0*o - c*o**3 - 4\/7*o**2 = 0. What is o?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -0*w + 3*w. Let t = w - 84. What is the tens digit of (-1 + t)\/(-1) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42354954 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)*z**(2\/13)*z\/z**(-1)*z**(2\/21)*z)**50 assuming z is positive.\nAnswer: z**(7450\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2 - 1866\/369. Let y = -66\/41 + h. Calculate the common denominator of -131\/12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o**4)\/(o**3\/o**(-3\/4))*((o\/(o*o*o**(2\/17)*o))\/o*o*o\/((o*o**(-1\/3))\/o)*o*o)\/((((o*o**(-3\/8))\/o)\/o)\/o**(2\/3)) assuming o is positive.\nAnswer: o**(69\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 24344?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/5 - 9*z**2\/5 + 4*z = 0.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -380941 or -380943?\nAnswer: -380941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 19*g - 109. Let k be u(6). Let o = 48\/5 + -19\/2. Let m = -21 + 21.4. Which is the closest to -8? (a) m (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-14) + (-101)\/7. Let i = g + -10. Are -22 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m**3*o**2 + 2*m**3 + 4*m**2*o**4 + 347*m wrt o.\nAnswer: -12*m**3*o + 16*m**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 1, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 42*c**2 + 98*c**5 - 43*c + 274*c**3 - 29*c - 131*c**4 - 205*c**4 + 10*c**2 - 16 = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -25, -3\/4, -68.9, -1.32, -2, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*y = 8, -4 = -3*c + y + 8. Is (-31)\/(2 - (-1 + c)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5\/33812, -58?\nAnswer: -5\/33812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) - (0 + sqrt(500) + sqrt(500))*6 - -4*(sqrt(5) + 2*sqrt(5) + 5).\nAnswer: -98*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/6 + 7*b**2\/4 - 3*b - 237. Let n(t) = 0. Calculate t.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 2 - 2)*(l - 4*l**3 + 2*l**3 + 5*l**3) to o*l + j + p*l**3 + k*l**2 + h*l**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-8))\/((-3)\/(-4)). What are the prime factors of 8\/24 + 34\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, 4, 5, 6, 2, -202?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 6, -549, -1628, -3405, -6054, -9749?\nAnswer: -14664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*n + 12 = n, -5*n = -5*r - 10. Suppose r*k = -k. Find the second derivative of s + s**4 - 2*s + k*s**4 wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133*q + 2369 - 17098 = 0. Let f(h) = -h**2 + 8*h - 4. Calculate the remainder when q is divided by f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 + 9 - (-4)\/(-1). Let s(o) = -o**3 - o + 1. Let x(a) = -6*a**3 + 2*a**2 - 5*a + 7. Give i*s(y) + x(y).\nAnswer: -y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 7. Let s(g) = -8*g + 15. Let q(o) = 12*o**2 - 2*o - 1. Let v be q(-1). What is v*f(c) + 6*s(c)?\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -2.029667.\nAnswer: 2.029667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -1472, -4911, -11624, -22703?\nAnswer: -39240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, 11, -3, 0.3, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, -3, -2, -71\/3, -1\/9 in increasing order.\nAnswer: -71\/3, -3, -2, -1\/9, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -24*g + 54. Let v = 37 + -50. Let s be n(v). Suppose p - 5*j + s = 5*p, 10 = 5*j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14061905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from fgqqgpu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 66*w**2 - 8*w. Let l(z) = -44*z**2 + 5*z. Let i(j) = 5*c(j) + 8*l(j). Let t(s) = s. What is i(t(o))?\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3112 - -4023. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4308 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-15)\/(-15))\/((-5)\/(-4345)) is divided by 149.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1331347, 2662656, 3993951, 5325232, 6656499, 7987752?\nAnswer: 9318991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:29 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-8)\/72*3. Suppose -4*b + 3*u + 2548 = i, b = 5*b - 2*u - 2548. Is 44 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - (-100)\/16) + (-33)\/(-12). Suppose 11*w = -g*w + 56. Solve -3*j - q - 8 = 0, -w*j - 5*q + 3 - 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -196\/5 in -16\/5, 0.4, 9?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q - 17*q - 22*q + 75*q - 17*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndttndnttdn. What is prob of picking 2 t and 2 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4302862, -8605729, -12908596, -17211463, -21514330?\nAnswer: -25817197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-30) - 7389\/16420?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -101*(0 + 1\/(-1)). Let p = 103 - m. Factor -15*h**p + 7 + 35*h**2 - 28*h + 1.\nAnswer: 4*(h - 1)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69048 divided by 36\nAnswer: -1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96901 - -96870. Let d(w) = w + 7. Let g be d(-5). Suppose 6*h - j = 2*h - 130, 4*j - 72 = g*h. Is x != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.98213543 to 2 decimal places.\nAnswer: -51.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1684104 and 8507.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let g = -12.92 + 14.92. Which is the second biggest value? (a) 4 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/14 + 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 127.8. Let x = -1 + 11. What is the third biggest value in f, x, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 0.0272.\nAnswer: -0.4272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g + 1336. Let z be (-6)\/(-12) + g\/4. Suppose 4*w - 8 = z. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389314091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -4. Let j = -1.13 - -0.83. What is the second smallest value in -3, 1, b, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2))\/(11\/(-66)). Solve -66 + 51 = d*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkaffvvvv. Give prob of sequence kffv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 4*i - 5*i + (-3*i - 2*i + 3*i)*(-1 - 2 + 2) - i - 2*i + 4*i + 41*i - 59*i - 22 + 19*i)*(6*i - 9*i + 9*i) in the form n*i + l + m*i**2 and give n.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3826893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.9, -0.4, -3, 26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - 2. Let r = -0.155 - -0.55525. Let b = m - r. What is b rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20284 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47 and ((-148)\/(-15))\/(10\/25).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**3 + 292*m**3 - 260*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 3*s**2 - 3*s**2)*(57*s**3 - s**2 + 44*s**3 - 39*s**3).\nAnswer: 62*s**5 - s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 80*a**2 - 71*a - 141. Give n(0).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/288 and 1\/40.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 359601 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/10, 1\/5, -1, 2\/23, 0.3, 2 in increasing order.\nAnswer: -1, -9\/10, 2\/23, 1\/5, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (1*sqrt(847) - sqrt(847))**2 - sqrt(847) - sqrt(847)) + -1)*6.\nAnswer: -132*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 81*n - 160*n - 1 + 0 + 78*n. Let j be r(-1). Solve j = f + 10 - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22691, -1, 9 in decreasing order.\nAnswer: 9, 1, -1, -22691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3637\/2 + -1851. What is the common denominator of h and 105\/38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1042 = -4*w - 2845*s + 2850*s, -3*w = -2*s - 771. Calculate the greatest common divisor of 10373 and w.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/16 and -59\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2299*n*u**3 + 6*n*u + 452*n - 10*u**3 - 1 wrt u?\nAnswer: -13794*n*u - 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -10*l + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 45*-92\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042279 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1, 2.8, -0.02, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218993 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -610, -4, 8, -8\/9, 1 in ascending order.\nAnswer: -610, -4, -8\/9, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 43. Let r be n(13). Suppose -576 = -r*p + 27*p. Calculate the highest common divisor of 54 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(((z\/z**(1\/3))\/z)\/z*z)\/z*z*z**(-2)\/z)\/((z\/z**(7\/2))\/z**(-27)) assuming z is positive.\nAnswer: z**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13190100 rounded to the nearest 100000?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/36 and 65\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.7, 0.1, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*r**3 + 6845 - 11*r**3 - 5*r**2 - 101*r**3 - 62*r**3 + 5522 wrt r?\nAnswer: -216*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -307 (b) 5 (c) -1.8 (d) 62 (e) -4\/7 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 34*x - 27. Let q be y(1). Factor 189*i + 286 - 44*i - 66 + 50 - 2*i**2 + q*i**2.\nAnswer: 5*(i + 2)*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10 = 2*h, -5*h + 12*y - 4 = 10*y. Suppose -2*l - 10 = h, 19*m = 17*m - 4*l - 18. Solve 12*n + m = 13*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11980 - -12703. Is 0.04 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*c + 3396*c**3 - 3464*c**3 + 56*c - 16*c to n + y*c**2 + s*c**3 + w*c and give w.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26747 divided by -191.\nAnswer: -26747\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.819950388 and 8077.\nAnswer: 8081.819950388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 582 - 215. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 56. Let m = k + -7. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 149?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 3*y + 4. Let f be t(4). Suppose -2*p + 5 + 1 = f. Suppose 0 = -p*j - 0*j + 66. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snejrrfj. Give prob of sequence jj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11915587\/90 + 132397. What is the common denominator of 59\/80 and h?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 6604?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j - 60 = 0. Let w = 58 + j. Solve o - 5*o + 4*f = 4, 2*o = -4*f + w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 36568*c. Let w(n) = 230*n. Determine -6*u(d) + 952*w(d).\nAnswer: -448*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m + 19. Let z = -5 - m. Suppose z = 2*p - 7*p. Solve p*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2426\/5*g + 4\/5*g**2 + 1212\/5.\nAnswer: 2*(g + 606)*(2*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-92) - (-3588)\/2645?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (11 - 21) - 25) + 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 5*v - 3*m - 4 = 0, -4 = 3*v - 5*m. Suppose -v*w - 2 = -10. Suppose -1 = w*b - 13. Solve t + b = 0, -4*z = -z - t - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, m: 2, j: 3, b: 3}. Give prob of picking 3 j.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*q + 14*q - 4*q - 2)*(-28*q**3 + 146*q**2 - 146*q**2) as b*q**3 + l + x*q**2 + d*q**4 + j*q and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*z + 2*z. Let j(c) = 3*c**3 - 2*c**z - 2 + 6 + 2 - c. Let y be j(2). Solve y = -2*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -12?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 4*d**2 - 5*d + 15. Let t be v(3). Let o be (-1)\/2*8 + t. Is o - ((-158)\/2 - -3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:50 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -25*u**4 - 65*u**3\/3 - 17*u**2\/2 - 1185. Find the third derivative of t(q) wrt q.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(2 + (sqrt(320) - sqrt(320)*3) + sqrt(320) + sqrt(320)) + -5*((sqrt(320) + -2 - sqrt(320)) + 0))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -10 + 79\/2*x**2 + 2*x. What are the prime factors of m(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/522 and 89\/28.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2305 + -2304.9. Which is the second biggest value? (a) 1\/19 (b) -0.4 (c) v (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 29*d**3 - 11*d**2 + 21*d. Let z(l) = -6*l**3 + 2*l**2 - 4*l. Let q(t) = 2*p(t) + 11*z(t). Find the second derivative of q(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s - 113. Give r(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -224*a**2 - 34*a - 14943 with respect to a.\nAnswer: -448*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - (-9 - -3) - (-296 + 300).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111501538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -180, 15.5313 in decreasing order.\nAnswer: 15.5313, -0.02, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 + 392 = -16*o. Solve 3*r = 2*u + o, -u = -148*r + 153*r + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(637)*1)*3 + (2*sqrt(156))\/((sqrt(3) - sqrt(18)\/(sqrt(12)\/sqrt(2))) + sqrt(3) + sqrt(3)) + -4.\nAnswer: -10 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 349570 and 394680?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 - 108950*r**3 + 593396165*r**2 + 1187119200*r + 593614080 = 0. What is r?\nAnswer: -1, 10896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 1. Let t(l) = 4*l. Let j(r) = -3*b(r) + 4*t(r). Let d(n) = -1. Let i(h) = 5*d(h) - j(h). What is the derivative of i(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 21*n - 543. Give t(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 6) in base 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + -6) - (93 + -91 + 12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 6947380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4225*h**5\/2 + 12805*h**4 + 2698211*h**3\/2 - 1443508*h**2 + 84998*h - 1288 = 0.\nAnswer: -23, 2\/65, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12897, 50807, 114049, 202629, 316553?\n\"Answer: k**3 + 12660*k**2 - 77*k + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(8 - (-244)\/(-30)). Suppose -l*s + 720 = -30*s. Let x(t) = t**2 + 5*t - 6. Calculate the lowest common multiple of x(-7) and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -2, 0, 2264, 5 in increasing order.\nAnswer: -2, 0, 1, 5, 10, 2264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2025*t**2 - 22*t - 6. Let y(g) = 3043*g**2 + 35*g + 9. Give 8*v(o) + 5*y(o).\nAnswer: -985*o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**4 + 30*m**3 - 15*m**2 - 50*m = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**2 + 21*k**2 - 11*k**2 + 238*k - 237*k.\nAnswer: 29*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130012 + -1133?\nAnswer: -131211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 25*s + 21 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -146, -288, -426, -560, -690, -816?\n\"Answer: 2*r**2 - 148*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nee when three letters picked without replacement from {e: 7, q: 4, n: 4}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = -34 + 146 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 26*q + 130449 = -166029. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 25*k**2. Let d(t) = -t - 279544. What is d(i(l))?\nAnswer: -25*l**2 - 279544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:13 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18))\/((8\/12)\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 391, 782, 1173?\n\"Answer: 391*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - i**2 - 14)*(-1 + 3 - 3).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749075 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 30 = 2*u. What is the common denominator of 6\/u + 1785\/(-100) and 53\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/2 + 18. Let q = 0.82802 - 0.32802. Which is the closest to y? (a) 1.7 (b) q (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304980466 to the nearest integer?\nAnswer: 17464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14284, 16706, 19128, 21550, 23972?\n\"Answer: 2422*u + 11862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + 119\/((-1002813)\/(-1053322))?\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1757 - -1965.9. What is l rounded to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-4) - 2\/8. Let m be 930\/33 + (-2)\/11. What is the units digit of m\/5 + r\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**3*s*(s\/s**(-1\/3))\/s)\/(s*s\/((s\/s**(-2\/11)*s*s*s)\/s)*s*((s\/(((s*s**3)\/s)\/s))\/s)\/s*s))**(12\/5))**8 assuming s is positive.\nAnswer: s**(1376\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 25*o**3 - 21*o**2 - 20*o - 71. Let n(q) = 12*q**3 - 11*q**2 - 10*q - 36. Let m(x) = -6*a(x) + 11*n(x). Is m(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322 - 323. What is the smallest common multiple of 54 and (2\/6)\/(n\/(-36))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, -23, -1, -2, -3, -10, 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**7\/14 - r**6\/5 - 3*r**5\/20 + r**4\/2 + 5*r. Find w such that v(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 7*i + 8*i. Suppose -i*t + 7*t - 8 = 0. Solve 17 = t*j + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61.9998656 - 62. What is v rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - -149. Calculate the remainder when s is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(48\/(-102356))*4860\/(-3026). Let o = -20549 + g. Let q = 80229\/30260 + o. What is the common denominator of q and -67\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 - 1 - 1. Let x(m) be the first derivative of -m**4\/4 - m**3\/3 + m + 7. Give x(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c + 8*c + 4*c + 4 - 28*c. Let p be (10 - 12)\/((-2)\/3). Determine h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7309787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -3141*u**5\/10 - 2*u**4\/3 - 351*u**2\/2 - 5468*u. Find the third derivative of k(f) wrt f.\nAnswer: -37692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.2 + -42.2. Which is the closest to -0.1? (a) 0.4 (b) l (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2631*o - 74485. Give p(28).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*l - 180, -5*s + 2*l = -l - 815. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.313781 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -19. Suppose q = -0 + g. Suppose q*i - o - o - 37 = 0, i + 5 = 5*o. Solve -2*j + i = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3562*a + 55 = -1422*a - 1630*a - 1475. Factor a*q + 16\/3 - 5\/2*q**2 - 1\/6*q**3.\nAnswer: -(q - 2)*(q + 1)*(q + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70203 is divided by 66?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 11*f - 22. Let k be p(-13). Let h be ((-9)\/18)\/(k\/(-88)). Suppose 3*y - 194 = 4*w, -247 = -4*y + 14*w - h*w. Does 29 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-3)\/2 - -2). Let s = -36 + 36.4. What is the nearest to -1 in s, -6\/7, a?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (-63)\/12)\/((-6)\/16). Solve -3*p + u + 5 = 0, 5*p - u - m = 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*t - 2*t**3 + 10*t - 77*t - 68 wrt t.\nAnswer: -6*t**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-77 + 2)\/(-3) - 2. Factor 5*g**2 - m*g + 16 + 0 + 4.\nAnswer: 5*(g - 4)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006192037765 rounded to 6 dps?\nAnswer: -0.000619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/5 + 378348*h**3\/5 + 17894914466*h**2\/5 + 143141155536*h\/5 + 286270204448\/5.\nAnswer: 2*(h + 4)**2*(h + 94583)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2*t**5\/85 - 5*t**4\/34 - 4*t**3\/17 + 4*t**2\/17 + 16*t\/17 + 10. Solve p(s) = 0 for s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 18*c - 25. Give w(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6615*h + 476 - 476 + 7068*h - 351*h to p + t*h and give t.\nAnswer: 13332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.05 + -3.79. Round t to 1 dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 - 10*c - 13*c - 13 - 6 - 165.\nAnswer: -23*c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33847287 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2118 = 242*j - 155*j - 2448 + 912 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and 0.401149.\nAnswer: -32.09192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(325) + (-1*sqrt(325)*2 - sqrt(325)) - (0 + sqrt(208)*-1))**2.\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 6 - 2*y**2 - 7*y + 0. Suppose -41 = 4*c - 5*w, -64*c + 3*w = -68*c - 1. What is u(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*h**3*y + 9*c*h**3 - 4*c*y + 30*c - 626*h**3*y + 153*h**3 - 2*h**2*y - 839*h**2 - 2*h + 2*y wrt h.\nAnswer: 12*c*y + 54*c - 3756*y + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -29*i**4\/6 + 92*i**3\/3 - 15*i**2 + 2666*i. Factor r(o).\nAnswer: -2*(o - 3)*(29*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*c**2 + c - 1391*c**2 + 742*c**2 - c.\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*o + 494, 6*d - 111 = 5*d + 2*o. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48645)\/(-940) - 16\/(-64)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 688170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a. Suppose 3*p = -a*p + 3. Suppose -17 = 5*i - 3*t, -4*i + 10 = 5*t + 31. Sort 4, i, p in decreasing order.\nAnswer: 4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 8 + 3 - 11. Let d(v) = 3*v. Determine d(c(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/12*2\/6. Which is the third biggest value? (a) y (b) -2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784147.5 years in centuries?\nAnswer: 7841.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.82 + 0.9. Let n = m + 0.92. Let x = 0.2116 + -0.2116. Which is the fourth smallest value? (a) -3\/7 (b) -13 (c) x (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 + 3*q + 1. Give k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636665503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**4 + 25*h**3 + 231.\nAnswer: -36*h**3 + 75*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/21)\/(4\/(-6)). Let d = 0.06 + 0.04. Sort w, -2, d.\nAnswer: -2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183 and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-630)\/36)*70\/45.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -168801484 greater than or equal to -168801483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1815464\/9 + 2403536\/9. Let t = r - 23522351\/360. Let c = 1\/40 - t. What is the common denominator of c and -36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 52*r**2 - 3*r - 167. Calculate i(-52).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -119446.\nAnswer: -3\/119446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*0 - (-167 + 163).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104478 to the power of 1\/2, to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*k**2 + 10*k**2 - 12*k**2 + (11 + 2*k - 11)*(6*k - 2*k - 3*k) to the form l*k + i + o*k**2 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -25*x + 92. Let o(d) = -8*d + 31. Let j(c) = 2*l(c) - 7*o(c). Let t be j(6). Let w = -4 + 6. Solve 4*s - 2*y = -3*y + t, y + 1 = -w*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-5*s**5 + s**5 + 2*s**5) + 3962679 - 3962679 - 4313*s**5.\nAnswer: -4311*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**2*v**3 - 4*m**2 + 7*v**3 - 12*v**2 wrt m.\nAnswer: -6*m*v**3 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 290375 + 290564 = 0 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.5 - 9. Which is the third biggest value? (a) -3 (b) 0 (c) -0.4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.84 + 2.21. Let b = x + -0.05. Let z = b - 4.00002. Round z to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 4*q + q**2 + (-q + 2*q - 2*q)*(-q + 4*q - 4*q) + q**2 - 5*q**2 + q**2 - 2 + 4*q**2 + 2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvzzvvzvv. Give prob of picking 2 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2779.4? (a) 3\/5 (b) 2\/5 (c) 38 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253671?\nAnswer: 31, 37, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeefyffyfefy. Give prob of picking 3 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14181 minus -1200269?\nAnswer: 1200268.85819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 122230133 (base 5) in base 6?\nAnswer: 20322153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/2 + j**2\/2 + 9*j. Let n be w(10). Calculate the highest common divisor of n and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -14, 4, -747, 3.1, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281.36012 + -0.06012. What is c rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 477983 and 95?\nAnswer: 2389915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 0.4, 0.077, -2?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 - 55353582*o\/7.\nAnswer: 3*o*(o - 18451194)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 1 = -a + 7, -4*a = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f, v - 496 = 2*f + 196. What is the remainder when v is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1300\/11 + 118. Suppose 5*k - 9*k = 0. Suppose k = -5*o - 4*j, 3*o + 5*j = 5*o. Which is the closest to o? (a) 2\/5 (b) g (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 0 = -16. Suppose 0 = v*m - 14 - 4. Suppose -r + 211 = 2*r - 5*p, 4*r = -2*p + 290. Calculate the highest common divisor of r and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0 + (-2 - -6). Let d = 7 - x. Solve 4 = -d*q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -22111?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*f**2 - 235*f**2 + 2 + 122*f**2 - 2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -487*l - 98. Suppose 7 = 3*k - 4*b, 2*k = k - 5*b - 23. Is r(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*(20\/12)\/5. Suppose 5*q + 1507 = 3*y, -5*y - 577 + 3102 = -c*q. Suppose 0 = 4*m - 5*s - y, -4*m + 3*m + 3*s + 122 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 - 2*j + 2. Let t be x(2). Let r = t + 2. Let z(o) = -o**3 + 3*o**2 + 4*o - 4. Let n(w) = w + 1. Let a(g) = -2*n(g) - z(g). What is a(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93916 = 6074*u - 15252 + 79260 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**5\/60 - k**4\/12 - 3*k**2 + k. Let c(p) = p**2 - 3*p - 1. Calculate 3*c(i) - 5*t(i).\nAnswer: -2*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 6. Let i be k(-7). Is (3\/(-9))\/(i\/(-87)) - 3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 9 + -10 + (-1542)\/306. What is the nearest to -2\/3 in 11, k, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + 8. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 140098962.\nAnswer: 140098954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.953654ml in litres?\nAnswer: 0.009953654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 - 492160*j\/7 - 492158\/7.\nAnswer: -2*(j + 1)*(j + 246079)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 28*r**3 + 179*r**2 - 483*r - 5299. Let b(w) = 19*w**3 + 119*w**2 - 322*w - 3533. Let q(v) = 7*b(v) - 5*m(v). Factor q(c).\nAnswer: -(c + 7)**2*(7*c - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404 (base 9) to base 13\nAnswer: 1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*r + 1369, -2*p + 3*r = -2*r - 2705. Is (-6)\/18 + p\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 15. Suppose f*z - u = 7*z + 100, 0 = -4*u. Let r = z - -47. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 8. Let v be 184\/32 - 6 - (-26)\/8. Suppose 5*i + 3 = -7, -s + 4 = 5*i. Solve 5*b = -v*t - 18, -2*b - 2*t - s = n*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1059 divide 51090396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 33*l - 1089\/2.\nAnswer: -(l - 33)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -260172.0626327 - 0.007\nAnswer: -260172.0696327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16108230 or -16108228?\nAnswer: -16108230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4012287 by -2451.\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -103?\nAnswer: -7\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3604 - 44794 + 4*w - 179406.\nAnswer: 4*w - 220596","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(7\/196*4))\/((27\/(-6))\/(-9)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 73, 2 in descending order.\nAnswer: 73, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17745233, 17745245, 17745283, 17745359, 17745485, 17745673, 17745935, 17746283?\n\"Answer: 2*q**3 + q**2 - 5*q + 17745235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*h - 25 = -283*h. Solve -h*l - 21 = 4*b, l - b + 4 = -2*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.3 + -17.30000146. What is r rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 8\/(-4) - -7. Solve 11*z + 17 = -m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*s - 4*s - 6*s.\nAnswer: -13*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, -0.4, 3039, -0.26 in increasing order.\nAnswer: -4, -0.4, -0.26, 0.3, 3039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -7, -22, -47, -82, -127, -182?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwy when three letters picked without replacement from {p: 2, y: 1, w: 1, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -4*a + 45. Let r = 24 + -22. Let w(o) = 3*o + 1 + 1 - r - 1. Give w(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*x + 27. Calculate the highest common divisor of 18 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:33 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:46 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12256472.\nAnswer: 2, 37, 47, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k - 4*k - 2*k**5 - 6*k**5 + 29*k wrt k?\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128309?\nAnswer: 31, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*2*-2*sqrt(20))\/(sqrt(12)\/sqrt(3)*3 + sqrt(32)\/sqrt(2)).\nAnswer: 48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000041638901 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 - 15352*k - 1916156 = 0.\nAnswer: -121, 3959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00187212134 to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*s + 75*s. Put 41, -1, s in ascending order.\nAnswer: -1, s, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 88*z - 28. What is g(-2)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 74033*f**2 + 814252*f - 740220.\nAnswer: (f - 74022)*(f - 10)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 2. Let i(n) be the first derivative of 0*n**2 - 13 + 4*n + 5\/3*n**3. What is -4*i(q) + 9*j(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 184.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75) + -1)*6 - (sqrt(75) + sqrt(75) + (sqrt(75) - (2*sqrt(75)*-2)**2) + -1).\nAnswer: 15*sqrt(3) + 1189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694943 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a second in milliseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9319189 millennia in months?\nAnswer: 11183.0268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeieiiiieie. What is prob of picking 3 e and 1 i?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 13*j**2 + 50*j - 127. Give r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/1305*-29)\/((15\/3)\/(-225))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*k - 4*f, -3*k + 5 = -0*k - 2*f. Let g = k - -25. Suppose 0 = -4*v + 568 - g. Calculate the highest common factor of 54 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-12)\/(-240)). Let s(t) = -t**2 - 10*t - 1. Let w be s(b). Let o(g) = -20*g - 2. List the prime factors of o(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*b - 350, 4*b - 2 - 2 = 0. Calculate the smallest common multiple of 22 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960376.5g in nanograms?\nAnswer: 960376500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 7*f - 18*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210510 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {g: 2, j: 2, i: 1, f: 1, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/9 - 35266*l\/3 - 3277816\/9 = 0.\nAnswer: -52868, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -38. Let y(m) = 2*m - 31. Let n be y(k). Let x(z) = -z**2 - 6*z - 1. Let p be x(-5). Solve -3*q = n - p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, j: 1}. What is prob of sequence cj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzpzzz. What is prob of picking 1 z and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-24)*-1*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283 - 36 + 95 + 2*z**3 + 3*z**2 to o + j*z**3 + v*z**2 + d*z and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 419473837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(3\/11)\/k))\/(k\/k**2) assuming k is positive.\nAnswer: k**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 + 4*z - 4. Let y be (-1720)\/24 + 1\/(-3). Let u = -30 - y. Suppose 5*l + 17 = u. Let x(d) = -9*d**3 - 9*d + 9. What is l*j(w) + 2*x(w)?\nAnswer: 2*w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 = 2*k - k, -5*k = -3*p + 31. Let a = -129 - -98.9. Let j = -30 - a. What is the closest to j in p, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(-20))\/(4\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4830141867403\/772 + 6256681865. Let y = 21415 - n. Is y less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 183*o**4 - 21 + 24 - 4*o**2 - 2 to n*o + r*o**4 + x*o**2 + z*o**3 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1014 and 296741.\nAnswer: -300895374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixixipxxxcxicx. What is prob of picking 1 p and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39234 divided by -2\nAnswer: 19617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + (-4 - (-3 + 1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1520, 14099, 48258, 114785, 224468?\nAnswer: 388095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9150 - -9150.0000031. What is a rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 - 202686*t**3 + 3439442631*t**2 - 539642962188*t + 21266047805292 = 0.\nAnswer: 79, 33702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21583, 43280, 65227, 87556, 110399?\nAnswer: 133888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 238 + 86 + 79 - 513*v**2.\nAnswer: -513*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from vvevvevvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 567*f**2 - 6*f - 93?\nAnswer: 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Let z = 404.6 - 405. Which is the second smallest value? (a) z (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/(-1365))\/(1\/42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9928.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 4 = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*l**2 - 307600 + 153813 + 153787.\nAnswer: 401*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70029, 70055, 70097, 70155, 70229, 70319, 70425?\n\"Answer: 8*n**2 + 2*n + 70019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/4)\/(2\/(-12)). Let q = 18 + i. Let x be (0 - (-26)\/(-2))*-1. Solve -4*s + q = -x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1767331, -3534281, -5301231, -7068181, -8835131?\n\"Answer: -1766950*f - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f - 23. Let j be y(2). Suppose -13*g + 8 = -j*g. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7170334 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 10. Give a(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1688 + -1656. Solve -8*d = -0*d - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001196 to 5 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 458 and 0.1.\nAnswer: 45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042103726 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33404 divided by -4.\nAnswer: 8351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 2)*(1619*v**3 + 2378*v**4 - 1619*v**3) as b + j*v**2 + n*v**4 + y*v**3 + l*v and give n.\nAnswer: -2378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1020247?\nAnswer: 1\/1020247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11281.37 + 360139.\nAnswer: 348857.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/3 - 2*o**2\/3 + 10. Suppose i(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212569 (base 11) to base 10.\nAnswer: -340085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -39642 - (-2 - -1). Let l = t + 3171191\/80. What is the common denominator of -53\/4 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 84 = 2*v, 5*q - 2*v + 58 - 154 = 0. What is the lowest common multiple of 635 and q?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqrqcqc. Give prob of picking 2 c and 1 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27*b + 60. What is m(-12)?\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/17674 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1463131 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1529 = 4*v - 975. Suppose 3*u = -6*m + m + 782, -2*u = 4*m - v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/518, -5, -8, 4, 5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*l + 105 = 0, -75 = -2*k + 4*l - 3*l. Does 40 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 70. Suppose h + 5583 = 4*c, 2*h - 5598 = -2*c - w*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 571 - 576. Which is the biggest value? (a) y (b) 5\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 1. Let q be o(1). Suppose q*t = t + 8. Find the second derivative of 2*x + x**4 + x**t - x**4 wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230501, -461055, -691609?\nAnswer: -922163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -19, 0.0178, 0, 0.4, -0.117, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/z**(-13))*z**(-1) assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899770 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 - i**2 + 8*i + 4. Let k(r) = -8*r + 29. Let w be k(4). Suppose 5*l - 409 - 616 = 0. Calculate the remainder when l is divided by g(w).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -75*(3 - (-51)\/(-15)). Let z = -65 + o. What is the tens digit of 4\/(-10) - 539\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 46336?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 129\/5 - (-2)\/10. Suppose 14 = 4*p + r. What is the units digit of p\/(-2) + (-276)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m. What is the common denominator of -91\/16 and m + ((-27)\/30 - -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-10) + 345\/75 + -5. Which is bigger: -4\/131 or h?\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 3:48 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 298809369 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, h: 6}. What is prob of sequence whw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.2. Let q be 652\/(-815) + 2\/15. Sort -1, q, k, 4\/7 in decreasing order.\nAnswer: 4\/7, k, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8 = -4*k - 7, 2*z - 2 = 0. Let i be 9\/(k - -5) + -2. Differentiate -9 + 10*u**3 + i*u**3 - 27*u**3 + 6*u**3 wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let q(w) be the third derivative of 341*w**5\/60 + w**4\/24 + w**2 - 732*w. What is q(i(n))?\nAnswer: 341*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvy when four letters picked without replacement from yvmyvvvvymy?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0.0893, 1?\nAnswer: 0.0893","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-34)\/(-8))\/((-37)\/100788). Is (-2)\/((-6)\/l*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 662? (a) 11 (b) 7 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 1, -3 in ascending order.\nAnswer: -88, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(-4 + -3 + -6*(sqrt(162)*4 - sqrt(162)))**2.\nAnswer: -210148 - 9072*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1272 divided by -12.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 16. Suppose -f + 8 = 5*r, 3*f = 8*f - 5*r + 80. Let b = g + f. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**5 + 4*g**5 - 2*g**5)*(0 - 1 + 2).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 15. Which is greater: 4\/9 or c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11250310 (base 6) in base 15?\nAnswer: 6d4e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hccye. Give prob of sequence yc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:55 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from nnsnsssnssnnssns?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 2 (c) 0.2 (d) -0.49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 1.8. Let f = -1 - 0. What is the second smallest value in f, q, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1545 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1938500 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - p + p + 4*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1) + (-96)\/(-12). Let c(w) = -w**3 + 10*w**2 + 5*w - 5. What is the remainder when c(u) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107e (base 15) in base 13?\nAnswer: 178a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Let b = f - 1.035. Let o = b - -0.0396. Round o to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -9\/8 (c) 1\/3 (d) 1\/8 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1014909 and 2460102.\nAnswer: 4677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/51 and 22\/527.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a\/a**(-5)*a*a*a)**(-1\/8)\/((a**4*a)\/a**(-10)) assuming a is positive.\nAnswer: a**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-216))\/(28\/(-126))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286011265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 30*r + 187257 = 28162. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 583 and 53?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -739 (base 16) to base 9\nAnswer: -2474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 168a (base 13) in base 5?\nAnswer: 101300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 370, 528, 656, 754?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m**2 + 9 - 15 + 6*m - 6*m + 8. Let s(h) = 7*h. Determine y(s(q)).\nAnswer: -490*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*u + 69. Let z(c) = -c**2 + 28*c + 53. Is 3 a factor of z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-90)\/60 - (-2697)\/6 and 392.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-49)\/(n\/n**(1\/8)))\/(n**(-14\/3)\/n**(-35)))**(1\/10) assuming n is positive.\nAnswer: n**(-385\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*((-2*sqrt(112) + -1)**2 + -3 + (sqrt(112)*-1)**2) - (2*(sqrt(112) + (sqrt(112)*2*2 - sqrt(112)) - (sqrt(112)*-2 + -4)))**2).\nAnswer: -17862 - 816*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736032 and 272245248.\nAnswer: 4628169216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 42 = 6. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 6. Let m be s(-3). Suppose 4*b + 2*d - 11 = -b, -m*d + 12 = 3*b. Put 5, 4, -3, b in ascending order.\nAnswer: -3, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -6812?\nAnswer: 6811.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -739000 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34969? (a) 5 (b) 2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 3. Let g be s(-2). Let h(x) = 10*x**3 - 2*x - 1. Determine h(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + 133 + -113.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one fifths of a kilometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -18 + 18 + 52*s**2 - 50*s**2 + 72*s = 0.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 46 + 52. Solve q - 5*s = -22, 1 = q - s + a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(sqrt(35)\/sqrt(5))**2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*u + 5 = 0, -2*h = -20*u + 15*u + 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = 21*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 435 + -431. Let p(k) = -k**3 + 40. Let d be p(0). Suppose 0 = t*u - 4*h - 16, -2*h = 5*u + 3*h - d. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*j = 5*j - 42, -5*j = 15. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.6 + -30. Let x = b - 0.6. Put x, 5, -5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**7\/5040 + n**6\/720 + n**5\/360 + n**3 + 1. Let z(j) be the third derivative of i(j). Determine t, given that z(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*p + 3. Solve -p*v = 5*i - i - 25, 20 = 4*v - 4*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l + 64. Calculate the smallest common multiple of 8 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 8445?\nAnswer: 506700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/9*(-30)\/(-4). Suppose -62*a + 34*a = -112. Is a at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2675\/321)\/((-15)\/18)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/6 - (-126)\/(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**2 - 9. Let h(v) = -78*v + 1. What is h(n(d))?\nAnswer: 624*d**2 + 703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:09 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10627240 divided by -214?\nAnswer: -49660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199355 is divided by 4333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 4*j + 0*j + (22 - 2 - 3)*(-3 + 4 + 674*j - 719*j) to the form l*j + w and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 4*w - 8. Let v = 7 - 8. Let d(l) = l**2 + l - 1. Calculate v*n(r) + 6*d(r).\nAnswer: 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 45 + 210 = 3*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.16 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15197\/1200 + 1\/400. Let j(l) be the second derivative of -3\/5*l**5 + 2\/3*l**4 + 12*l**2 + 13*l + i*l**3 + 0. Factor j(a).\nAnswer: -4*(a - 3)*(a + 2)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*t - 62, -4*t = 5*v - 3*t - 47. Solve 4*u - v = 3*j, 8 = j - 5*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/2 - l**3\/3 + 3*l**2\/2 + 15*l. What is the tens digit of m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/20 and 7\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/15))\/o**(2\/3))\/(o**(-2\/5)\/o*o)**(-50) assuming o is positive.\nAnswer: o**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 15. Suppose 115 - 37 = y*k. Solve -f = -5*c + k, 2*c + 2*f = -0*c + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.07 - -0.13. Let i = -1.6 + k. Let p = 733 + -732.9. Which is the closest to p? (a) -0.1 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (714\/(-294) + -1)\/((-26)\/7 - 12\/(-3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + l - 3*l - 66, -4*l = 2*p - 108. Suppose -4*g - 716 = -2*y, -3*g = -y + 296 + p. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*i - 11 = -5, 0 = 4*j + i - 18. Solve -2*m + j*x = -12, -2*m - 2*x + 35 = 23 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 3:42 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 279\/(70*369\/8610).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10543.\nAnswer: 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x - 132*x + 35*x + 33*x + 41*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 2*w + 53, -q = 5*w + 29. Let p = 19 + q. Let s = 16 - p. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:01 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-4)\/60)*(-4 + 1). Put -3\/5, g, 3, 0.4 in increasing order.\nAnswer: -3\/5, g, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17504600 divided by -200\nAnswer: 87523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at least -4\/418205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 7*g + 3. What is b(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 + 4*a + 25. Let z be i(6). Suppose 2*m - 184 = -3*w + 203, -m = -2*w + z. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*j**3 - b**3 + 479*b**2*j + 21760*b*j**4 - 27*b*j**2 wrt j?\nAnswer: -18*b**3 + 522240*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(1610\/28) - (-132)\/(-770).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crv when three letters picked without replacement from {q: 1, u: 1, c: 1, i: 1, r: 1, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -299 + 303. Suppose -2 = j + 1. Sort o, -2\/5, -1\/2, j in decreasing order.\nAnswer: o, -2\/5, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329 - 252. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(((-1)\/(-15))\/((-42)\/35))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99985, -99984, -99983, -99982, -99981?\nAnswer: -99980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 7 = -124. Solve 0 = -5*n + c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -63016?\nAnswer: 1\/15754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514189*k**2*z**2 + 3*k*z**2 + 3307*k*z + 2*k + 2 wrt k?\nAnswer: 1028378*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(16\/7 + 2\/(-7)). Solve 0*u - 3*u - 6 = h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908 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: Suppose -2*d = -3*u - 10, d = 5*d + 2*u - 4. Suppose d = -2*c + 3*c. Suppose 0*s - 3*s = -c*r + 88009, 3*s - 43991 = -r. What is r rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from yvrvvynvnfrrrrryy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m - 11*m**2 + 0*m.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 323.716*-3\nAnswer: -971.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808402.\nAnswer: 2, 7, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dww when three letters picked without replacement from {w: 7, b: 1, d: 1, v: 2, e: 4}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.09 - 1479035385.643.\nAnswer: -1479035386.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193210 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/20 - (3537170\/9800)\/(-169).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 963831205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1633 - 0.0167. Which is the nearest to 0? (a) -7\/5 (b) -2\/5 (c) -0.3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 22 = n. Find the third derivative of 22*p**2 + 6*p - 36*p**n - 27*p - 2*p**4 + 16*p**2 + 16*p**3 wrt p.\nAnswer: -48*p + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 32*v - 1296. Give q(-58).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -238769 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 110*a - 277. Let h(o) = -22*o + 55. Let d(n) = -11*h(n) - 2*y(n). What are the prime factors of d(22)?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -89. Suppose 0 = -2*i + o + 9. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, w: 4}. What is prob of picking 3 w and 1 n?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 3\/5, 4, -0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 6*b = -66 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 2. Let z be q(-1). Suppose k - 1 = 3. Suppose 3 = -k*f - g + 12, 2*f - 9 = g. Solve 4*x + 8 = 2*d, z = 2*d - f*d + 5*x + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**3 - 9*r**2 + 9*r - 9. Let g(m) = m**2 - 7*m - 9. Let n be g(7). Let k(v) = 5*v**3 + 4*v**2 - 4*v + 4. Calculate n*k(o) - 4*y(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89732 + -89731.5. Let i = -837\/170 - -99\/17. Which is the third smallest value? (a) i (b) g (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**3 + 3*q**2 + q - 1. Let y be v(-2). Let c = y - 35. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*m + 506 = -15*m - 664 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 137*j**3 - 3*j**2 + 5*j - 3. Determine k(1).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 774839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, r: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455607249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161.3 + 167. Let d = v + -6. What is the closest to -1 in d, 1\/9, -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-3))\/((-16)\/48).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1745, -2, 12.\nAnswer: -1745, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 4*j - 1. Let t(b) = b**2 - 4*b. Let d be t(4). Suppose 33*q - 40 = 31*q. Suppose 5*c + q + 5 = d. Give u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (1 + 4 + -17)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*d + 9 - 18 - 49 = 0, -3*o = -d - 81 - 73 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159165047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(225))\/sqrt(5).\nAnswer: -54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9869 or -9996?\nAnswer: -9996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.5, 0.3, 0.25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/5 and -232 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 13472*f - 11343424.\nAnswer: -4*(f - 1684)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2791389579 rounded to 5 decimal places?\nAnswer: -0.27914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q**5 - 1360*q**4 - 230880*q**3 + 22618680*q**2 + 519920660*q + 336492888 = 0. Calculate q.\nAnswer: -129, -19, -2\/3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -861338 (base 9) to base 7\nAnswer: -4233641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let p(c) be the first derivative of c**3\/3 + c**2\/2 - 29. Give r(p(u)).\nAnswer: 2*u**4 + 4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*4\/8*2. Suppose -2*a - 3*j = -1521, j + 1501 = -r*a + 2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*a - 5, 5*a - 2*a + 3*y + 15 = 0. Let o be a*410\/(-45)*3. Let g = o + -55. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56988839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, l: 2, u: 2, b: 2, n: 2, m: 1}. What is prob of sequence bm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -392 and 6147.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.9 + 24. Which is the closest to s? (a) -3\/4 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2496)\/273*987\/(-6). Calculate the highest common factor of f and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p - 69 + 159 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12606 and 6876.\nAnswer: 75636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 - 3 + (-3 + 1 + 1)*(-1 - 1 + 6))*(2 + 2 - 2)*(5*b + 0*b - 3*b) as a + q*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53984 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 5:02 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322700 (base 8) in base 10?\nAnswer: 107968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 72. Let -17*b**2 - 10*b**3 - 17*b - 43*b**2 + k*b**4 - 2*b**5 - 23*b + 7*b**5 = 0. What is b?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.1 (b) 0.56 (c) 0.4 (d) -46 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 4*n)*(618 + 42*n - 618) + 10*n**2 + 6*n**2 + 10*n**2.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 395\/711 - (-248)\/(-252).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, -125, -183, -237, -287, -333?\n\"Answer: 2*y**2 - 68*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81693920 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a = 2136*a + 41420 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*a**2)*((-4*a + 4*a + 2*a)*(0 + 2 - 5) + 954*a + 1384*a + 560*a) to w + y*a**2 + r*a**3 + o*a and give r.\nAnswer: -5784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 8. Let m(v) = -2*v - 12. Let q(y) = 3*k(y) - 2*m(y). Suppose o = -3*o. Let z(f) = -5*f + o*f + 0*f. Calculate z(q(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**3 + 0*k**2)*(-3*k + 6*k - k) + 247 - 247 + 44*k**4.\nAnswer: 46*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672) - (sqrt(672)*-1 + sqrt(672)) - sqrt(672))\/sqrt(6) + (sqrt(1008) + -4)*2.\nAnswer: -8 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 3. Let m be k(0). Let l(c) = -2*c**3 + c**2 + 2*c - 2. Let o(f) = 2*f**3 - 2*f**2 - 3*f + 3. Calculate m*l(i) + 2*o(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-27)*281563 + 2\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 462651078 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.84 - -1. Let o = l + 7.84. Let h = o - 5. Which is the third smallest value? (a) 0 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, -5, 59, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236338, -236346, -236360, -236380?\nAnswer: -236406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Let f(b) = 3*b**3 + 1. Determine f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -10*s**2 + 23958326*s + 9583332 = 0.\nAnswer: -2\/5, 2395833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10) - 37\/(3885\/(-3234)). What is the greatest common factor of l and 1470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 4 + 2 + 0*i. Let n be a(-4). Suppose 3*o - 3*s = -6, -2*s = 5 - 15. Solve n = o*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 130*u + 252.\nAnswer: 2*(u - 63)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3*w**3 + 48*w - 6*w**3 + 7*w**3 - 50*w - 11*w**3 to h*w**2 + r*w**3 + t + z*w and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**23\/l*l*l**(-18))\/(l*l\/(l\/(l*l*l*l**12)*l))**(-6\/25) assuming l is positive.\nAnswer: l**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -13609, 1\/4, -1\/6, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2729236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g**3 - 5*g**2 - 7*g + 7. Let o(i) = -8*i**3 + 3*i**2 + 4*i - 4. What is 7*o(q) + 4*r(q)?\nAnswer: 4*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 5. Let r(o) = -o**3 - 20*o**2 + o + 21. Let l be ((-27)\/(-2))\/(57\/(-76)) + -2. Let p be r(l). What is the nearest to 1\/7 in p, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 1. Let b = 8 + -3. Let x(z) = -z**3 + 7*z**2 - 9*z + 5. Let d be x(b). Let k be (-24)\/d + 6\/15. Give q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 1. Let k(y) = 25*y - 35. Determine -3*k(p) - 105*t(p).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-0.15\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.7. Suppose 4*s + 0*s - 704 = 0. Let h be 0 - 3 - (s\/(-12))\/4. Is g smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 5, h: 8, c: 2}. Give prob of sequence gh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 2*u**2 + u**2 + (260*u**2 + 255*u**2 - 4 - 552*u**2)*(0 + 0 - 3) - 2*u**2 + 2*u**2 - 2*u**2.\nAnswer: 108*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.9. Suppose -u = 2*m + 589, 4*m - 4*u + 9*u + 1193 = 0. Let o = -3794\/13 - m. Which is the biggest value? (a) t (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/315)\/(-1*5\/(-15)). Suppose 0*s**3 + 1\/5*s**4 + 0 + 0*s - o*s**2 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijsjriiyswryjjjjjrj. What is prob of sequence jyjw?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*z = 4404 + 11346 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from nkktkktkkttttk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65\/20 - (-3 + (-36)\/(-16)). Suppose 0 = r + t, 5*x - 4*r - 1351 = -0*r. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.59 - 24.41. Which is the closest to -1? (a) -8 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 58*t**2 + 532*t - 20. Give p(12).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m**3 - 619*m**2 - 4188*m - 900 = 0. What is m?\nAnswer: -6, -2\/9, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/278 and 107\/12?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 2*c**2 - c + 2. Let i be u(-2). Let k(a) = -4*a + 5*a + 1 + 0. Determine k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 12*x + 6, -2*k + 11 = 28*x - 23*x. Solve -5*g - 28 + k = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338728 and 936?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:39 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1523343, 3046688, 4570029, 6093366, 7616699, 9140028, 10663353?\n\"Answer: -2*p**2 + 1523351*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p**2 + 4 + 0*p**2 - 2*p**2 + 3*p**2 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17733*a - 17791*a = -986 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271271*r**2 - 380*r - 570.\nAnswer: 542542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*t**2 - 637*t + 187*t - 66*t**2 + 256*t + 250*t to p + f*t**2 + z*t and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j - 3. Let p(d) = -8*d + 2. Let a(b) = -3*p(b) - 2*y(b). Let x be a(9). Suppose -17*g - x = -21*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 3. Let o(l) be the second derivative of -l**2\/2 + 10*l. Suppose 0*x - x - y = -2, -5*x - y = -6. Let v = x - 0. Give v*g(f) + 5*o(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 4. Suppose 5*p - 24 = 86. Suppose -10 + p = 3*o. Calculate the lowest common multiple of o and k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -647, -4, -3\/5, 2\/3, -1\/12, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*p - 2*z - 2*z, p = 4*z - 14. Sort -2, -4, p, -5 in descending order.\nAnswer: p, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1333186?\nAnswer: 1333186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -7*i - 12. Let n = 3 + i. Let c = 0 - n. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -333*v + 54016. Determine j(162).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 461 - 466 = -91. Calculate the remainder when 132 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/42 - (-6)\/12*69\/21. Let l(h) be the second derivative of 1\/20*h**5 + a*h**3 - 2\/3*h**4 + 6*h - 7\/2*h**2 + 0. What is l(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 2*v - 48135552. Suppose 0 = 3*j - v + 2266944. What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ddxddqqqqkkkd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233 + 239. Let l be 21\/d - (-3)\/6. Suppose 5*c - 165 = -5. Calculate the greatest common divisor of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -90. Let p = -74 - n. Suppose 3*b = -3*r + 2*r + 46, 0 = p*b. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23\/3*k - 4\/3*k**2 + 2 = 0 for k.\nAnswer: -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1899023*u - 1899072*u = 4753 for u.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 0, 8*o = 5*o - 5*w + 7. Let j be 10 - (-50)\/(-6) - o\/3. Let x(s) = -s + 7. What is x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-24)*-1)\/(2\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 + 24 = 0. Let n(w) be the first derivative of -2*w**2 - 21*w + 332. Let j be n(t). Solve 7 = -5*v + 3*m, -m + 4 + 3 = j*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/(-2)*(-240)\/18. Suppose 3*n - a = -2*n + f, 270 = 5*n - 3*a. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 230. Let b(g) = 174*g**2 - 2. Determine b(s(x)).\nAnswer: 696*x**2 - 160080*x + 9204598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:43 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w - 158. Let z(p) = 11*p + 9. Calculate t(z(i)).\nAnswer: 66*i - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 335*w - 337*w + 8. Suppose -840 = -w*q - 4*v, 9*q - 5*v - 392 = 7*q. What is the remainder when q is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34320\/70 + ((-16)\/7 - -2). Suppose 11*t - o = 9*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268107.\nAnswer: 3, 7, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3057, -28, 600?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102599 is divided by 1577.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*d + 4*j, 5*d + j = -j + 10. Suppose d*n = 12*n - 704. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.91 - 52507791\nAnswer: -52507790.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -32928*f + 2. Let s be r(0). Factor -1\/4*c**4 + 1\/4*c + 1\/4*c**s - 1\/4*c**3 + 0.\nAnswer: -c*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 155 + 183 = 0. Let a(j) be the first derivative of -7*j**4\/4 + j - 1. What is the remainder when y is divided by a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:14 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*w - l, -l = -4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1869670 by -169970.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.1. Let n = 0.1 - h. Let x = 196 + -391\/2. Which is the nearest to x? (a) n (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.6 + -14. Let x be (-77)\/220*(-4)\/14. Which is the fourth biggest value? (a) 5 (b) x (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110101 (base 2) to base 9.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**2 - 5. Let c(o) = -19*o. Give c(u(p)).\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**2 + 256*b - 4505. Determine y(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 + 430*n - 5580. Give f(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2280 and 28?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16581?\nAnswer: 3, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 0.039.\nAnswer: 12.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*q + 2*q + 11*q + 1 to the form s*q + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = 2*k. Suppose k + 2 = -v. Let r = 4 + v. Solve -j - j = r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -13.7. Let f = v - 4.7. Let w = f - -2. Is w > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6904 - 6901. Factor 15\/4*g**2 - 3\/4*g**4 - 3\/2*g - 9\/4*g**m + 3\/4*g**5 + 0.\nAnswer: 3*g*(g - 1)**3*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56563*226\nAnswer: 12783238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 12. Let h be u(-8). Suppose 0 = 3*l - 5*l. Find the common denominator of h\/16 - 277\/(-36) and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Suppose 2*s + 2*f + 3*f = 0, t*s = f + 12. What is the least common multiple of s and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-6)\/15*(-13)\/195*-5)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*y - 9. Let f(c) = c**2 - c - 1. Let i(g) = 2*g**2. Let a(p) = -3*f(p) + i(p). What is the units digit of a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3001, -2910, -2757, -2542?\n\"Answer: 31*v**2 - 2*v - 3030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 90 - ((792 - 793) + (-2 - 0)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4247747113 rounded to four dps?\nAnswer: -0.4248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/4 - 21*j**2\/2 + 207*j\/4 - 81\/2.\nAnswer: -3*(j - 3)*(j - 1)*(j + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6996295, -27985132, -62966523, -111940462, -174906943?\nAnswer: -251865960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 1 - 6 - 5*u + 3.\nAnswer: -5*u + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-50)*3\/6*(-530)\/19716?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67827.883 rounded to the nearest 1000?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0705 less than 0.080733494062?\nAnswer: 0.151233494062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.85, 1\/8, -2, -2\/7 in decreasing order.\nAnswer: 3.85, 1\/8, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*r + 4*l - 29, -4*r = 3*l - 16. Solve v = -3*x + 2, -x + 2*x = r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -20*u. Suppose w - 14*w + 8944 = 0. Let k(d) = -w*d + 1367*d - 679*d - 2*d**2. Determine k(l(q)).\nAnswer: -800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/28 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:51 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -3 - (-3 - -2). Let h(f) = f + x*f + 19 - 19. Let k(n) = 63*n - 33. Let t(j) = 4*j - 2. Let z(p) = -2*k(p) + 33*t(p). Give z(h(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/112 - (-82)\/8. Let u(h) = -2*h + 19. What is u(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505790748 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + (1*sqrt(3264) + sqrt(3264) - sqrt(51)))\/(sqrt(48)*1).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4, 738 in decreasing order.\nAnswer: 738, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxx when four letters picked without replacement from {x: 5, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3309345?\nAnswer: 3, 5, 13, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 7*a + 2. Let q be v(-5). Let m = -8 - q. What is the least common multiple of m and 3\/((-48)\/(-122)) - 51\/(-136)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-649)\/77 - (-6 + (2 - 5)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from dqtqbqd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*a**4 - a**3 + 59*a wrt a?\nAnswer: 720*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3791 + 3778. What is the second biggest value in -0.4, u, -22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 22418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3021013 (base 4) to base 11\nAnswer: -9741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/5 + (-1 - 1) + 1. Let x be 18\/30 + c\/(180\/(-51)). Suppose 2*y = 4*s + 2, -4*s - 5*y + 34 - 1 = 0. Are x and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2694 - 1196 = -10*b. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 1\/7, -1\/3, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796313 is divided by 82.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 57. Let j be d(59). Solve j*u - 4*h - 28 = 0, -4*u = 3*h - 0 - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 2759 = -327 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(700) + 0)**2 + 0 + -2 + (sqrt(700) + -2 - sqrt(700)) + 5.\nAnswer: -40*sqrt(7) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 86*a**2 + 53 - 29 in the form j + g*a + k*a**2 and give k.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 j when four letters picked without replacement from yjjyj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 4*i + 32 = 2*r, 12 = -3*r + i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba155a (base 13) in base 3?\nAnswer: -22020011120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 4, -0.004, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 4}. Give prob of sequence ccc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-231)\/(-49) - (-2)\/7. Suppose v*x - 2*p + 6*p = -10, p = -4*x + 3. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00197203546 to six decimal places.\nAnswer: -0.001972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*d**3 + 32 - 1300*d**4 + 63 + 1303*d**4 wrt d.\nAnswer: 12*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 16187?\nAnswer: 16203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130504533.\nAnswer: 23, 49152371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 - (-3 - 2 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 7. Let d = -8 + f. Let z = d - -8. Sort -2\/3, 2, z in ascending order.\nAnswer: -2\/3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*g - 145 - 523 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/26)\/((-2)\/(-16)). Suppose -2*w - 10 = -a*g, w - 3 = -3*g + 4*w. Solve 2*d - 2 = 2*u + 6*d, 0 = -g*u + 5*d - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/9)\/(c*c*c**(1\/9))*(c\/(c*c\/(c*c**(-8))))\/(((c\/(c*c*((c\/(((c\/(c\/(c\/(c*c**(-8)*c))))\/c)\/c))\/c)\/c*c))\/c)\/c) assuming c is positive.\nAnswer: c**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 186.3741663 nanoseconds?\nAnswer: 0.00000000000030815834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 7*k**2 - 7*k - 6. Let d be p(8). Suppose -4*b = -d*b. Suppose 0 = -3*a + 2*j + 19, -j + 0 = a - 3. Solve a*i - 15 = -b*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**3 + 28*i - 28. Let g(w) = -w + 1. What is 3*c(l) + 84*g(l)?\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -49*a + 4458. Let h be d(91). Put 8, h, -0.4, -8, -3\/7 in decreasing order.\nAnswer: 8, -0.4, -3\/7, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - (-81)\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.11, 0.1, 12, 1\/7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -23*s**2. Suppose -2*c = -3*y - 3, 2*y + y - 18 = -5*c. Let p(z) = -z**2 + z. Let h(l) = -6*l**2 + 4*l. Let b(n) = y*h(n) - 4*p(n). Give b(m(r)).\nAnswer: -1058*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y)**21)**(-37)*(y\/(y*y**(-1\/4))*y*y*y*y*y)\/y**2*(y*(y\/y**(1\/4))\/y*y)**27 assuming y is positive.\nAnswer: y**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/7)*u)*u*u**9)\/(u**(1\/3))**(9\/4) assuming u is positive.\nAnswer: u**(255\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 113 + -106 - (1 - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0 + 2 = -2*t, -4 = t + 5*f. Let g(c) = c**2 + 6*c + 5. Let b be g(-4). Put t, b, 0 in ascending order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0 (c) 1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -9484896.\nAnswer: 9484896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02175877 rounded to four dps?\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -20, -40, -68, -104?\n\"Answer: -4*y**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*((-3)\/1)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66609 by -6.\nAnswer: 22203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-10)*378\/(-441).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58401695 is divided by 2122.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 19*j - 377. Suppose 0 = j*h + 31 + 17. Let m(a) = a**3 + a**2 + 2*a + 4. What is m(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 - 3*f - 2. What is the remainder when s(3) is divided by 8*(28\/(-35))\/(4\/(-10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 - -9 - 5) - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3846 - 3844. Factor g - 2*m**2 + 1\/2*m**3 - 1\/2*m.\nAnswer: (m - 4)*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 2*v**6\/45 + 18*v**5\/5 - 55*v**4\/9 - 1185*v. Factor t(u).\nAnswer: 4*u**2*(u - 1)*(u + 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 11*q - 3. Let h be d(-12). Suppose -h*x + 4*x = -165. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*(-39)\/(-26)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(2 - 8\/3). Let j be 36\/162 - 34\/(-9). Let t be ((90\/j)\/5)\/(-3). Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.05, 676.6, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 266, 446, 7, -1\/2 in increasing order.\nAnswer: -1\/2, 7, 266, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -30 + 93 + z + 70. Is i(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 17. What is the smallest common multiple of z(13) and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -142. List the prime factors of (172\/12 + k)\/((-3)\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*j + 5 + 188*j - 7*j**2 + 74*j**3 - 377*j - 104*j**3 as a*j + w + l*j**2 + s*j**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/17 - 1248*c**3\/17 + 203228*c**2\/17 - 2664480*c\/17 + 9116450\/17.\nAnswer: 2*(c - 305)**2*(c - 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*f**5*t + 370*f**3*t**2 + f**2*t**2 + 2*f*t**2 - 120965*t**2 wrt f.\nAnswer: 8520*f**2*t + 2220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - (1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0\/o)\/o)\/o)**(-7)*o**(1\/12)\/(o\/(o*o**2\/o)) assuming o is positive.\nAnswer: o**(265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3988*l**2 - 2038*l**2 - 1985*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169274 is divided by 584631?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -157 - 173. Suppose 37*g = 38*g - i. Round g to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 - -59. Let d = r - -176. Solve 3*p + 1 = d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 11. Which is the third biggest value? (a) n (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 1155\nAnswer: -1154.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d65 - 35?\nAnswer: d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 2*r + 2*r)*(-3 + 0 + 2)*(-r + r - r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 43 = -4*h, -2781*b + 5*h - 109 = -2788*b - 5*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 12*g + 10. Let m be t(-12). Let s = m - 8. Solve 4*v = -q + 18, 3*v = -5*q + s + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153bc4 (base 15) in base 8?\nAnswer: 3722404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12077000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/6 + 16*t - 98\/3 = 0?\nAnswer: -98, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-8 + 8 - 3*t**2 - 13 + 13 + t**2 + (3 - 3 - 4)*(3*t**2 - 3*t**2 + t**2)) to q*t + k + b*t**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*b + 3334 + 475 = -120*b + 830 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.955 or 419\/2?\nAnswer: -17.955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, 0.2, 2\/17, 11\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:31 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-79 - (-25 + 19 + -10)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 543, 1056, 1499, 1836, 2031, 2048, 1851?\n\"Answer: -6*t**3 + t**2 + 552*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 2*h + 1. Let i be z(1). Let j be ((-176)\/(-64) - (-5)\/4) + 47. Let b be 0\/1*51\/j. Solve -7 = -2*r - i*s, 0 = -b*r - 5*r + 5*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**3*z + 58*l**3 + 303*l**2*z**3 - 25*l**2 wrt z.\nAnswer: 4*l**3 + 909*l**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-77) + 627\/7. Let v = 101 - t. Suppose -v = -r - 21. Sort 0, 5, r, -5 in ascending order.\nAnswer: r, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 7) to base 2\nAnswer: -1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(9)\/sqrt(3)*-4 + 4 + (-2*sqrt(3))**2.\nAnswer: -3*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**3 + 81684*u**2 - 979452*u - 3673620 = 0.\nAnswer: -3, 15, 20409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:34 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7)\/(126\/147)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:04 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2271 + -0.2271. Which is smaller: h or 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 8*z + 9. Let i be v(-7). What are the prime factors of (-1 - i) + (-78)\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 79, 45.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 381, 352, 323, 294?\n\"Answer: -29*a + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(5 + 6 - 2)*(-u - 1087*u**2 + 1104*u**2 - u) to the form z + d*u + t*u**2 and give t.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2326*b - 926*b - 13963*b - 1294*b.\nAnswer: -18509*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132176897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21596 is divided by 180?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 213, 442, 671, 900, 1129, 1358?\n\"Answer: 229*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71275656.\nAnswer: 2, 3, 577, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 1.96. Let n = -1 - -0.9. Let h = n - -0.1. Does d = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bii when three letters picked without replacement from {g: 1, b: 3, e: 2, y: 6, l: 2, i: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1607 and 0.5.\nAnswer: -803.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190\/41 + -3707\/738. Let k(h) = -31*h**2 - 2*h - 4. Let m be k(3). Let j = m + 1127\/4. Find the common denominator of y and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1157776*i**4\/5 + 547634504*i**3\/5 - 3053697*i**2\/5 + 4257*i\/5.\nAnswer: -i*(i - 473)*(1076*i - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -94, -92, -90, -88, -86, -84?\n\"Answer: 2*w - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-27\/5)\/m*m**(-1\/6))**(-47) assuming m is positive.\nAnswer: m**(9259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 25. Let t(s) = s**3 + 6*s**2 - 6*s + 9. Let h be t(u). Suppose -2 - h = 4*j, -2*j = r - 1. Solve 8*z - r = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433\/2 - -216. Sort b, -0.46, -1\/3 in increasing order.\nAnswer: b, -0.46, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21606*r**2 - 64830*r**2 + 21833*r**2 + 21696*r**2.\nAnswer: 305*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + -2 + 52 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81.2 - 67. Let c = -0.9 + -15.1. Let r = c + p. What is r rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 * -8.1\nAnswer: 1012.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1603.525 weeks to milliseconds.\nAnswer: 969811920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) -0.03 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1680\/1470*(-7 + 3 + 0)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 160*s - 66*s + 87*s in the form y + h*s and give h.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q. Let f(s) be the third derivative of -6*s**2 + 0*s**3 + 0 - 2*s - 5\/24*s**4. Give -3*f(t) + 4*m(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:16 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 9 + q.\nAnswer: q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4976224*f**3 - 57*f**2 + f + 1142150232 wrt f?\nAnswer: -14928672*f**2 - 114*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(1\/10)\/j*j)\/j*j*j**(4\/7)\/j)\/(j**(-1\/6)\/((j*j*j**(-2\/23)*j*j)\/j)))**(-21) assuming j is positive.\nAnswer: j**(-11474\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437422?\nAnswer: 2, 59, 63029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:08 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-12) - (-3)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y - 8440. Let f(c) = -38*c**2. Give a(f(m)).\nAnswer: -342*m**2 - 8440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/4720 and -61\/35459472?\nAnswer: 177297360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -165 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1065 = -3*t - 0*t. Suppose -k + 0*k = -160. Suppose 5*o - k = t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Suppose 30*d + 25 = 25*d. What is the closest to 5 in 1, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908*l + 841 = -5*n + 3565, 0 = 2*l + 2*n - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 50*z**2 - 245*z - 13. Calculate a(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3379\/6 + 567. Let x be 11\/(22\/(-6)) + 6. Is x at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 51 = -0*q + 3*z, 3*q - 87 = z. Calculate the highest common factor of q and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -51\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675*y**3 - 165060*y**2 - 87888*y - 11712 = 0. What is y?\nAnswer: -244, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.38 rounded to 0 dps?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51915 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**4*d**16)**(-2\/45) assuming d is positive.\nAnswer: d**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -16*u**2 + 4*u + 220. Determine c(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p**4 - 180*p**2 - 619*p + 15677850 wrt p?\nAnswer: -16*p**3 - 360*p - 619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -399 + 664. Let o = n - 260. Let w(x) = 0*x**2 - 5*x**2 + 5*x - x**2 + x**3. Calculate w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 less than or equal to -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 46*c**2 + 6*c + 3. Let a(z) = -41*z**2 - 6*z - 2. Let u(n) = -9*a(n) - 8*x(n). Determine u(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:04 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 49 - 131)*(0 - 20 + 1)*(-3*t - 2*t + 6*t).\nAnswer: 3135*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246 (base 7) to base 8.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + (-26)\/4)*4\/(-7). Put 0.2, 2, t, 0 in descending order.\nAnswer: 2, t, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l - 96 = -66*l. Let x(c) be the third derivative of -5*c**2 + 0 + 0*c**4 - 5\/6*c**l + 0*c - 1\/12*c**5. What is the derivative of x(k) wrt k?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**9\/30240 - y**8\/10080 - y**7\/5040 - y**6\/360 + y**5\/20 + 3*y**2. Let d(v) be the third derivative of n(v). Give d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - x, -4*x = -5*v - 19. Let h be (v*4\/(6*2))\/(-1). What is the highest common factor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375310 divided by -37531.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - 3*v**2 + 5*v - 6. Let t(d) = 1 - d**3 + 2*d**3 - 124*d**2 + 125*d**2 - 340*d + 339*d. Determine -a(p) - 6*t(p).\nAnswer: -2*p**3 - 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 - 0)*24\/28. Let h be (-147)\/z - 2\/8. Solve 3*r - h = p, r - p - 3*p + 7 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0194 and 0.197987686.\nAnswer: 0.217387686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1293339, -2586688, -3880037?\nAnswer: -5173386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -568*h - 265. Let v(x) = 310*x + 133. Determine 6*a(z) + 11*v(z).\nAnswer: 2*z - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1364 and 372?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 3*j**3 - 6*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102750787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45629327 to the nearest integer?\nAnswer: 6755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j**2 - 6*j - 2. Let a be t(-2). Let o = a - -55. Find the third derivative of 133*f**5 - 71*f**5 - 20*f**2 - 82*f**o wrt f.\nAnswer: -1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 44 = 2*z, i - 2*z - 16 = 2*i. Let y be (-4)\/i*18\/2. Find the second derivative of -2*r + r**5 - y*r**5 + 3*r wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from gtggtgtggtgttggttttg?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69707*k + 69709*k - 30 = f + 25, -k = 7*f + 385 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -918, -1856, -3346, -5388, -7982, -11128, -14826?\nAnswer: -19076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8936\/80 - (-9)\/30. What is the greatest common factor of s and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - -1.15. What is the nearest to 2 in u, 1\/5, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -3*g**7\/14 - g**6\/60 + 21*g**5\/20 - 122*g**2. Find the third derivative of m(b) wrt b.\nAnswer: -1080*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 59229287.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 19 (c) -2\/23 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 11. Let s be r(8). Suppose -4*u = s*y - 217, -56 + 180 = 3*u - 4*y. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9888 and 574122.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 60\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59678922.000122 - 59678825. Let w = -97 + x. What is w rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2226\/(-1484))\/(3\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 4*m + 2*m)*(5 + 4 - 3) - 3*m + 3*m - m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4 (c) -1.8 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3 - 51*i**2\/2 - 54*i + 82. Factor d(s).\nAnswer: 3*(s - 18)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*f + 32*f - 97*f + 5 - 5 as h + p*f and give p.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -664.\nAnswer: -1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 3*z - 6. Let g be ((-1)\/3)\/((-5)\/15). Let m be 1*(-2 + g)*-31. Solve 5*d - 3*l - l = -m, -2 = -2*d - z*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 10, -38, -84, -128, -170?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225912 (base 11) to base 15.\nAnswer: -7162b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 f when four letters picked without replacement from {t: 6, f: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*j + 1. Determine u so that 0*u**2 + 1\/4*u**4 - 1\/4*u**3 + 0 + j*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (510\/45)\/(34\/51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 - 138. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 13811297?\nAnswer: 13811297.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 451 - -330. Let d = -783.059 + f. Let t = 0.059 + d. What is the biggest value in 2\/3, -0.03, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyyg when four letters picked without replacement from {y: 2, g: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 549.19 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-4)\/(-12))\/(6\/(-27))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451049974.\nAnswer: 2, 11, 29, 167, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*b + 6*c, -5 = 5*b - 20*c + 25*c. Let -4\/5*j**5 + 4*j**3 - 16\/5*j - 4*j**2 + 4\/5*j**b + 16\/5 = 0. Calculate j.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -3.2. Let r = -10 - -10.4. Let v be (-9)\/3 - 18\/(-8). What is the nearest to -1\/2 in n, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u. Let r(v) = -v - 1. Let k(a) = -2*o(a) - 22*r(a). Let y be k(5). Suppose -6 = 2*d, -2*q = -y*d - 3*d - 23. Solve 0 = -q*p - 6 + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-209) - (-48)\/(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 967 = -913 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5429190*z**2 - 1022994*z - 1 wrt z.\nAnswer: -10858380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.27. Let v = -0.17 - f. Let b = v - -0.21. Are b and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/10*(-20)\/8. Suppose -a = 5*f - 53. Solve b + 2*o = -1, 4*b + f + 8 = 4*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2\/3) + (-608)\/(-741)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*z + 2*q - 11, -q = -2*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17862 + 17862. Solve -9*h + 3*m = -6*h - 9, t = -4*h - 4*m + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*g = -9918 + 5858 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1110210221?\nAnswer: -1110210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 15. Suppose 3*p = -2*x - 3, 2*x + 3*x = -2*p - c. Is 6 a factor of 3*(-2)\/x*17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224292942 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16144 - -3?\nAnswer: -16141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-1)\/(20\/233706). Let l = 11672 - h. What is the common denominator of 1\/(-1) - (-309)\/60 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10186*h + 2177. Is d(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159344 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 0*i**2 - 3*i**2. Suppose -8 = -0*u - 4*u. Let g(o) = -4*o**u + 2*o**2 + 3*o**2. Calculate a(g(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**3 + 22*s**2 - 421*s - 11. Let m(p) = 3*p**3 - 8*p**2 + 140*p + 4. Calculate 4*k(i) + 11*m(i).\nAnswer: i**3 - 144*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 17*a - 16*a = -120*c - 763, -3*c - 4*a - 274 = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -2, 2, -1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0*a + 2*a + 10, -16 = 3*z + 5*a. Let l be 10\/(-15) - z\/3. Let b(y) = y**3 - y**2 + y + 2. Let f be b(l). Solve -p - f = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 780280110?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 100 = 3*u + 14, 5*u - 125 = 2*l. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -214005122?\nAnswer: -214005114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 104 = -34*b - 304 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348, -10745, -36244, -85897, -167756, -289873, -460300?\nAnswer: -687089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/22)\/(-4) - (11907\/693 + -32). Suppose -4*z + 5*a + 55 = 0, 0*z - 3*z - 5*a + 85 = 0. What is the highest common factor of z and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 3*a**2 + 4*a**2)*(1 - 5 + 2)*(4 - 5 + 2).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 1112529.\nAnswer: 12237819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.0285, 3 in increasing order.\nAnswer: -0.0285, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -877 - 6756?\nAnswer: -7633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1720*t**2 + 4015. Let d(r) = 572*r**2 - 1338. Let m(l) = 8*d(l) + 3*q(l). What is the first derivative of m(a) wrt a?\nAnswer: -1168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*h - 3*z, 5*h - 2*z + 3 = 19. Let y be 1\/h - 215\/(-4). What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = 0. Let h be ((-2)\/7)\/((-72)\/(-56)). What is the nearest to h in m, 2, 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = -2*z - 1, 2*y = -4*z - 14. Suppose -4*q + y*p = p, -q + 5*p = 0. Solve -w + 2*w = q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 16 + 5 = 4*x, -3*k + x - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74950 and 0.3.\nAnswer: 22485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 9*k - 9. Is 3 a factor of u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Suppose -5*u - 10 = -0*f + 5*f, -7 = -u + h*f. Is 5 a factor of (3 - 4)\/(u\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 - 215*w**4 - 995*w**3 - 1745*w**2 - 1340*w - 380.\nAnswer: -5*(w + 1)**3*(w + 2)*(w + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(33) - (sqrt(99)*1)\/sqrt(3) - (sqrt(33) + sqrt(297)*6))\/(4*sqrt(3)*2*3).\nAnswer: -19*sqrt(11)\/24 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5162 - -6.51540842. Round b to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -0.10507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3270897 by 9.\nAnswer: -363433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydq when three letters picked without replacement from {i: 5, x: 2, y: 6, d: 1, q: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1533 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 27*p + 159. What is the units digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9425 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - 4*b**2 + 2. Suppose 2*o - 7 = 3*r, -3*o + 397 = -4*r + 388. Let i(m) = 3*m**2 - 2*m**3 - 2 + 0*m**3 - m**3. Calculate r*i(q) - 2*w(q).\nAnswer: q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26913*p - 53844. Calculate z(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -10819?\nAnswer: -3\/10819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 11*o**2 + 13*o - 37. Let w be n(-9). Solve -5*y = 2*p + w, 0*y - 20 = -2*y + 5*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 7546?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-10)\/(-2))\/(-15)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 - -4.9. Let b = -2.5 + k. What is the closest to -0.5 in b, 0.1, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f - 6*f - 20*f = -72. Solve -12*g = -2*j - 8*g + 2, 5*g + f = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4691 - 50.54\nAnswer: 4640.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 362952*h**2\/11 - 172104*h\/11 + 20402\/11 = 0.\nAnswer: 101\/426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -77. Let k = -32866477138 - -32866477198.999999538. Let v = k + u. Round v to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -3754c5?\nAnswer: 3754c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 - 193*x + 324. Let q be f(-40). Let r(o) = -o. Let d(s) = -9*s. What is q*r(l) - 4*d(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, m: 6, d: 1, k: 2, y: 2}. Give prob of picking 1 d and 1 r.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:49 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 5:39 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10799367.\nAnswer: 3, 457, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1140)\/17670 + 188\/31. Suppose -f - 3 + 6 = 0. Solve f = l + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998358829.\nAnswer: 13, 76796833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3774, 15161, 34162, 60795, 95078, 137029?\nAnswer: 186666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 517\/235*(150\/9)\/(-10).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -20358.705 and -1.\nAnswer: -20359.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0137044213 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989824021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3748 is divided by 231.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**2 - 3*p**2 - 3*p**2)*(6 - 4 + 1)*(-2*p - 3*p - 2*p) to the form a*p + r*p**3 + t + u*p**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let w be (-38)\/10 - (3 + 14\/(-5)). Let y(x) = 2*x**2 - 30*x - 31. Let j be y(-1). Which is the closest to m? (a) w (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -68*z + 91. Let k be i(4). Let l = k + 221. What is the highest common divisor of l and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2014 - 4090 - 115*d + 118*d + 2076.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6854*n**5 - 1374*n?\nAnswer: -137080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -18*l + 62*l**2 + 60*l**2 - 129*l**2 + 13 + l**3. What are the prime factors of t(11)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2135906383 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from teee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 7. Let f(a) = -43*a - 35. Let k(s) = f(s) + 5*x(s). Let i(l) = 4*l**2. What is i(k(u))?\nAnswer: 5776*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + -0.1. Let x = 0.91 - z. Let h(t) = 4*t**3 - t**2 + 1. Let u be h(1). Which is the nearest to x? (a) 0 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -25\/2. Let d = -0.3 - 0. Which is the second biggest value? (a) d (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12424160 to the nearest 100000.\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44074*k + 44042*k - 736 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/40*(-20)\/30. Put w, -41, -1\/3 in increasing order.\nAnswer: -41, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, -23, -154, -369, -686, -1123, -1698, -2429?\n\"Answer: -3*b**3 - 15*b**2 + b + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**4\/w))\/(w**3*w))**(-1\/64) assuming w is positive.\nAnswer: w**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 1. Let m(s) = 6*s + 3. Suppose 1 + 6 = 4*r + j, 2*r - 21 = 3*j. Give r*u(k) - m(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (149 - 152 + 2*q**2 - 3*q + 2*q)*(-7 - 26 - 4) to the form v*q + k + s*q**2 and give s.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 7) to base 6.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 2\/3 (c) 12 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11) + -2 + -3.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: a9868 (base 15) to base 14\nAnswer: 10037d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -21. Suppose -17*o + 23*o + 210 = d. Let u be 0\/4 - 10\/o. Put u, -0.5, 22, -4\/3 in increasing order.\nAnswer: -4\/3, -0.5, u, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -3*n**3\/2 + 21*n**2\/2 - 37*n + 10. What is b(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(34)\/sqrt(2) - (-1 + sqrt(272))**2.\nAnswer: -273 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*f + j = 23, -4*j - 48 = -2*f. 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 4f3cc (base 16) in base 10?\nAnswer: 324556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjjrjaaarjajajjafaia. What is prob of sequence ajif?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -335310 (base 6) in base 2?\nAnswer: -110111011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9618925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 1 = x + 4*t, 3*x = 3*t + 18. Let m = 738 - 495. Suppose x*z = 5*o + 1019, -z - o + m = -249. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -1\/5*u**5 + 0*u + 0*u**3 + 0*u**4 + 3 + 4*u**2. Find the second derivative of y(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74138*c*j**4 - c*j + 3*c - 17*j**4 + 157*j + 3089 wrt j.\nAnswer: 889656*c*j**2 - 204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.0943 + -0.4657. Is s equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009885641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-199076)\/(-11) - 20\/(-110). Let c = o + -10418. Let u = -2800 + c. What is u rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2 + 2)*(-12 + 12 + 7)*(-4 - v + 4)*(5*v - 10*v + 4*v).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17454533*a + 3658 = 17454595*a for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o + 16. Let p = -4112 - -4108. Determine u(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqdqdddddq. Give prob of sequence dddd.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-345)\/9660)\/((-1)\/12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 4, z: 11, f: 3}. Give prob of picking 1 b, 2 z, and 1 a.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((410\/(-6))\/5 + 3)*-228. Suppose 9*f - 1186 = d. Suppose h + 2*u = f, 3*h - 5*u - 1453 = -269. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**2. Let r(l) = 22*l + 12. Let j(u) = -9*u - 5. Suppose -10 = -2*q - 34. Let x(y) = q*j(y) - 5*r(y). Calculate h(x(g)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -751?\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eskxemxkexksm. What is prob of sequence kes?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3189 divided by 10?\nAnswer: -3189\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(2\/(-20))\/((-79)\/1185)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrrrrrdcuccrdd. Give prob of sequence dd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 742, 737, 730, 721?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349350677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*b - 626 = -0*b, -4*m - 3*b = -2444. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2713\/15 + 181. Let i be -9*(-2 + 2\/3). Let c = i + -7. What is the nearest to -0.2 in c, 5\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 + -58. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l**(-1))\/(l**(5\/2)*l*l**(2\/5)\/l) assuming l is positive.\nAnswer: l**(-127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -4) + 1*-13. What is the units digit of (-3)\/h + 30\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 5820 + 6555 - 10871 for o.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.05472*6.5804\nAnswer: -0.360079488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 130756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let o(s) = 2*s + 4. Let y be o(-3). Let a = j + y. Solve 0 = -a*l - l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2912 = 13*z + 95*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 2:34 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54961 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5168275529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**3 - 12*a**2 + 3*a - 4. Let n(m) be the first derivative of m**2\/2 - m + 13274. Determine -j(s) + 4*n(s).\nAnswer: 4*s**3 + 12*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 9*n + 828. Let c = 209 + n. What is the remainder when 4 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 2}. What is prob of picking 1 l and 1 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -59*i + 392. What are the prime factors of p(-20)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 - 6.88. Let y = 0.55 + h. Round y to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.33.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -50. Let z be 1*(6 - 0 - 1). Suppose -17 = -z*i + 2*u, 0 = -i + 4*u - 5 + 12. Solve 2*w + 5 + i = o*v, -v + 8 = -2*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 212391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1702*t = -1701*t - 2*i + 27, 2*i = 4*t + 36 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d = -46*d, -2*d + 2 = 2*l + 2*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1220220 (base 3) to base 14\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukaaaua. Give prob of picking 1 u and 1 a.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5\/4 + 511*p**4\/2 + 1059*p**3\/4 - 9198*p**2 - 9207*p = 0.\nAnswer: -6, -1, 0, 6, 1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 23\/2*g**2 + 14*g + 2 + 18*g**4 - 91\/2*g**3 = 0.\nAnswer: -1\/4, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341130439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = n, 2*b - 4 - 4 = 5*n. Let m be b\/((-1)\/4) - 1. Suppose m*o - 227 - 223 = 0. What is the greatest common divisor of o and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3 - 2*y**2 + 29*y**3 - y**2 + 83*y**3 - 121*y + 125*y. Is f(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3181606 to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -62, 0.4, 0.1, -0.02, 0 in ascending order.\nAnswer: -62, -0.02, 0, 0.1, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6526869, -6526830, -6526759, -6526650, -6526497, -6526294?\nAnswer: -6526035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22470676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547501165.\nAnswer: 5, 313, 349841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 14 - (-2 + 9 + -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91290253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10001101110?\nAnswer: 10001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 32 - (3 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68213 to 2 decimal places.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784074?\nAnswer: 2, 3, 17, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2 - (-1)\/10*-25)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 11010001?\nAnswer: 11011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 4*i**3 + 3 - 10*i**4 - i**2 + 9*i**4 - 3 to j + h*i**4 + b*i**2 + m*i**3 + r*i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1703*t**3 - 433 + 431 - 6219*t**3 in the form s + r*t**2 + d*t + n*t**3 and give n.\nAnswer: -4516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957 plus -0.6?\nAnswer: 6956.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -593 + 705*f + 1184 - 591 in the form u*f + o and give u.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 + 67875 + 118002 - 185877.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9544*p*v**2 - 141*p*v + 1802*p - 1553 with respect to v.\nAnswer: 19088*p*v - 141*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpsblbsllsllapssab. What is prob of picking 3 b and 1 l?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-13)\/(260\/(-45))*192\/(-20016)\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2 - 62395*j + 1559250 = 0.\nAnswer: 25, 62370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 38 = -5*f, 510 = -3*f - 3*b + 492 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a factor of 49737415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 4. Suppose -3*m + 1 = -4*m - 3*v, m = 3*v + 11. Suppose -4*q + 5*s = -27, j + m = 4*q + 2*s. Solve 0 = -c + 1 - q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011210 + 2100211?\nAnswer: 11112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -0.5 (c) -24 (d) 4\/5 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0691123866 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/21*441\/126.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 3*u - 4. Let a be g(4). Let c = -12 + a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 50*h**5 + 28090*h**4 + 161748*h**3 + 282728*h**2 + 155728*h + 26688 = 0?\nAnswer: -556, -3, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/120 + 2*c**5\/15 + c**4\/4 + c**3\/3 - 6*c**2. Calculate the remainder when 35 is divided by s(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85932 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 4. Let u be m(4). Suppose 0 = -3*j - z + 37, 0*z = j - 3*z - 9. Solve u = -2*y + 6*y + j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.1 (c) -0.2 (d) -4 (e) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 166*d**2 + 1682*d + 4760.\nAnswer: 2*(d + 5)*(d + 28)*(2*d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 - 4 + 4 + (19 - 19 + x**2)*(3 - 3 - x) as f + h*x**2 + l*x**3 + g*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -115*m**7\/7 - 22*m**5\/5 - 3*m**4\/8 + 45*m**2 + 9*m. Find the third derivative of j(t) wrt t.\nAnswer: -82800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o - 25*o - 36*o - 20*o.\nAnswer: -63*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i - 5. Let f = 0.44 - 0.54. Which is the nearest to f? (a) -4 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476194076 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 395\/(-79) - ((-134)\/19 - -2)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 - 8*d + 9. Let f be j(-4). Suppose 43*o - 2*a + 8 = f*o, -2*o = 2*a - 8. Let h be ((-1)\/2)\/(2\/(-20)). Solve -h*n = -o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s**3 - 568*s**2 - 948*s = 0. Calculate s.\nAnswer: -79\/21, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**8*n)*n)**(-2)*(n**(-9))**(-11) assuming n is positive.\nAnswer: n**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + -2 + -2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/10 and -17\/776?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/3 - 41*b**2\/3 - 40*b\/3 = 0?\nAnswer: -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62343?\nAnswer: 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-5)*1\/(-1). Suppose 0*o + 12 = p*o. Solve 0 = -o*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + (-2 + (-6 - -9) - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4456\/5 - -1367982\/1535. Is w at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let v(a) = 482*a**2. What is v(o(y))?\nAnswer: 1928*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*i**4*z**2 - 47*i**3*z**3 - 281*z**3 + 2 wrt i.\nAnswer: -40*i**3*z**2 - 141*i**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275611 is divided by 1323.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 0*b**3 + 4*b + 2 + b - 8*b.\nAnswer: (b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2016575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-11447)\/(-2435) - -1. Let t = 1\/974 + u. Let c = t + 31\/10. What is the second smallest value in 3\/7, -1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/g*g*g**(-8))\/((g*g**(-2))\/g)**(-2\/93)*(g**(-1))**(-31\/2)*(g*g**(-8)*g)\/g**(-3) assuming g is positive.\nAnswer: g**(2611\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1399)\/(-8394))\/(2\/(-228))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 981*p**3 + 5882*p**2 + 8805*p - 36.\nAnswer: (p + 3)**2*(981*p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -632+1.8549\nAnswer: -630.1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31\/4? (a) -0.21 (b) 1.2 (c) -3\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 1, l: 4, x: 4, d: 4, i: 4}. Give prob of picking 1 d, 1 c, and 1 x.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r - 3. Suppose -r*i - 64 = 3*m + 3*i, -i = 2. What are the prime factors of (m + 0)\/(6\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0, -4\/7, -0.4 in decreasing order.\nAnswer: 2\/11, 0, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1376.55447887 - 14.\nAnswer: -1390.55447887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-169)\/((-4901)\/174)*(-11)\/(-2) + -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1271 and 42408.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 l, and 1 c when four letters picked without replacement from {g: 1, q: 1, c: 2, u: 7, l: 4, f: 3}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 419011937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -122100012?\nAnswer: 122100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f. Solve -2*a + 30 = 4*o, 3*o - 11 - 4 = f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 7*o**5\/2 - 417*o**4\/8 + 319*o**3\/8 + 459*o**2\/8 - 347*o\/8 - 21\/4 = 0.\nAnswer: -1, -3\/28, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5441, 0.14, 12, 4, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2)*-3 - sqrt(7)) + -6*(sqrt(7) + -2*sqrt(7)) + ((sqrt(70) + (sqrt(70) - 1*sqrt(70)*1) - sqrt(70)) + sqrt(70))\/sqrt(10))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 2*a**6\/25 + 3*a**5\/20 + a**4\/20 - 14*a. Find j, given that r(j) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 244 + 262)*(4 - 4 + 2 - y) in the form u*y + x and give x.\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 12. Let c = 0.172 - -2.828. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1298 and 1.672 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2 + 2*u - 6. Let h be m(-5). Let j be (-2)\/(-6) + 42\/h. Solve -4*r = 3*v - 10, -5*r = -4*r - j*v - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 68. Let i be (-21)\/(-6) + (z\/2)\/3. Let h(w) = -w**3 + 5*w**2 - 5*w - 2. Calculate h(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545022 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37.4 and -1348?\nAnswer: 1385.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 12}. Give prob of sequence cck.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.013, 93\/5, -0.3, -0.2, -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.043 - -0.04361. Round k to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12507 by 4.\nAnswer: -12507\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 16*u)*(1 + 4 - 3)*(-1 + u + 1).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70895372?\nAnswer: 2, 17, 29, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3214199 and 1.6.\nAnswer: -3214197.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 - 8*o**2 + 8*o + 12. Is 30 a factor of t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -0.2, 14, -4\/7, 260, 26\/9?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 13 = v. Let c = 74 - v. Calculate the highest common factor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(8) - sqrt(88)\/sqrt(99) - sqrt(288)\/sqrt(4))**2.\nAnswer: -1568\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1219*v**3 + 184*v**2 - 184*v. Let y(x) = 20*x**3 + 3*x**2 - 3*x. Determine -3*s(w) + 184*y(w).\nAnswer: 23*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3329 + -1595. Let g = k + -1733.99997211. Round g to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 143.2?\nAnswer: -136.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-23 - -38)) + -5 + -39.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwgwhh. Give prob of sequence hw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 14) + 10 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-4 + -3)*-5. Let j be ((-196)\/s)\/(6\/345). Suppose 188 = 2*b + 4*k, -42 = -4*b - 4*k + j. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.4 times -3184?\nAnswer: -950105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212*x**4 - 3901*x**3 + 4091*x**2 + 112*x wrt x.\nAnswer: 5088*x - 23406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 + 8*o - 3. Let y be u(4). Let q = y - -404\/3. Factor 0 + 2\/3*v**2 + 0*v + q*v**3.\nAnswer: v**2*(11*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 24 + 16 = 0. Let g = -156 - -158. Solve -g*u - m = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:48 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*h - 871*h**2 - 242*h + 474*h.\nAnswer: -871*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t + 73. What is f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 (base 4) in base 5?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:07 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3048746, -12194989, -27438726, -48779957, -76218682?\n\"Answer: -3048747*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 3*l + 6. Let w = 41 - 37. Let y be m(w). Solve -6*k - 3 - 3*k**y + 10*k + 2*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350068 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5371129, -10742259, -16113391, -21484525, -26855661, -32226799?\n\"Answer: -i**2 - 5371127*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 - a**3 + 5*a**3)*(4 - 4 - 5*a) - 4*a**4 + 5*a**4 + a**4.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 286665894 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 18 - 138 = 0. Let p be 2\/8 - z\/(-4). Suppose 0 = -2*s + 4 + p. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -9. Let k be ((-6)\/10)\/((-3)\/15). Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.89 to one dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 141 - 144 + u**4 + 4*u - u**3 - u in the form s + c*u**4 + w*u**2 + q*u + o*u**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -48. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 9*x + 6*x + 1)*(5*x + 4*x + 0*x) to b*x**2 + a*x + j and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/120*6 + 28\/(-420)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from eeegeeeeeeee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002155091 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - a + 7. Suppose -2*w + 4 = 2*l, -3*w + 8 = 2*l + w. Suppose l = 17*z - 12*z. Calculate j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1123143618 = 7*o - 399343618. Round o to the nearest one million.\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620636 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*n**2\/7 + 4495978*n\/7 + 101796\/7 = 0. What is n?\nAnswer: -6\/265, 8483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3 - 8*x - 4\/3*x**2.\nAnswer: -4*(x - 1)*(x + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -261 in increasing order.\nAnswer: -261, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20323112 (base 4) to base 8.\nAnswer: 107326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 633? (a) -4 (b) 12 (c) 43 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2697304404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -237*n - 11. Let k be v(-4). Suppose -i - 6434 = -8*d + 4*d, -3*i - 1614 = -d. Let z = d - k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3588, -28700, -96846, -229542, -448304, -774648, -1230090?\n\"Answer: -3586*i**3 - i**2 - 7*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*g - 80187746 + 6234746. What is g rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, k: 3}. Give prob of picking 2 k and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467905183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 150108165843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/19, -1\/51, 0.05 in descending order.\nAnswer: 0.2, 0.05, -1\/51, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1767212 - 0?\nAnswer: -1767212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*f - 42 + 10, 0 = 4*w + 24*f + 92 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1132 >= -1133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*y + 270*y = -320*y - 559*y - 64233 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.4. Let c = 6 + -3. Let a be 1*(-7 + 3 + 9). Sort o, c, a in decreasing order.\nAnswer: a, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-20) + 12\/(-16))*(-855)\/114?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -4. What is the remainder when 38 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * 0.07\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1, -58 in descending order.\nAnswer: 4, -1, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3546\/(-504714))\/(27\/42)?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -173*l**7\/7 - 2*l**5\/5 + l**4\/2 - 8116*l**3\/3 + 5476. What is the third derivative of g(q) wrt q?\nAnswer: -20760*q**3 - 48*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201a229 (base 12) to base 10.\nAnswer: 6010305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -217\/6 or -37?\nAnswer: -217\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281\/7 less than or equal to 0.039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(10\/7))\/c**(-1) assuming c is positive.\nAnswer: c**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**4 + 1364*z**3 + 25668*z**2 + 64620*z = 0.\nAnswer: -15, -3, 0, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 126?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 46 = 5*m, -4*x + 5*m + 17 = -41. Find the second derivative of 11*r**4 + 19*r**4 - 27*r + 12*r + x*r wrt r.\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 444618 and 99?\nAnswer: 4890798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*p + 33. Let l(c) = 30*c**2 + 1865*c + 1864. Let a be l(-1). Solve -p*t = -a*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1787928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*m + 60. Suppose -712 = 6*j - m*j. Suppose -7*a = 59 - j. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2663907 and 36311?\nAnswer: 29302977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 11*r - 2. Let p(d) = -4*d**2 + 22*d - 4. Let n(z) = 5*m(z) - 2*p(z). Let q(s) = s**2 - 4*s + 1. Calculate -3*n(b) - 8*q(b).\nAnswer: -2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a + 5\/24*a**4 - 4*a**2 + 0 + 0*a**3. Let u(l) = 3*l - 4*l + 0*l + 0*l. What is u(n(s))?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/20*(-10)\/4. Suppose c*i + 3 = 5*i. Is 0 + 1\/i*1437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 34 + (8 - (-40)\/12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.3. Let u = i + -0.1. Let g = -207 - -1039\/5. Which is the nearest to u? (a) -3 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913*f + 12732 = 225*f - 12304. Let t be (-2 + 16\/(-7))*-7. Suppose 4*i = -3*g + 2*g + t, i = -4*g. What is the smallest common multiple of f and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 290*d**2 - 123*d + 1476. What is c(-72)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/(-18)*6\/(-13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 4. Let r be ((-1)\/(-1))\/((-12)\/36). Let k be p(r). Is 8 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*m - 4*z, 2*m = 6*m - z + 2. Suppose -3*r + v + 4*v - 28 = m, -3*r = 2*v - 7. Suppose -5*l = -w - w, -30 = 5*l + 4*w. Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1149 - 794. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -184, 2, 3 in increasing order.\nAnswer: -184, -22, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-6)\/4)\/(-3 - (-513)\/190) and 58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 348*k**3 - 111981*k**2 - 1540824*k + 53265 = 0.\nAnswer: -53\/4, 1\/29, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 7. Let m be u(0). Suppose 40 = 4*z + 4*t, -3*z + 30 = -0*t - 4*t. Let f = z + m. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 264768, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74509 - -128732. What are the prime factors of u?\nAnswer: 13, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-589050)*99)\/((-2)\/(7*2\/(-1)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 0.1, 5, -4, 49.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 - 4524*c = 0 for c.\nAnswer: 0, 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 4. Let k(h) = 7*h - 7. Determine 10*i(l) + 6*k(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.5 + 30.5. Which is the closest to l? (a) 1\/4 (b) 0.14 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-23))**21 assuming x is positive.\nAnswer: x**(-483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 5*k**2 + 4*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.5 - -44. What is the nearest to 2\/49 in 2\/5, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -336 + 341. Let a(q) = -l*q + 4 + 7*q - 5 - q. Let f(z) = 9*z**2 + 18*z - 18. Give -18*a(c) + f(c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20985, 20976, 20969, 20964, 20961, 20960?\nAnswer: 20961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 73, 162, 287, 448, 645, 878?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406615, 406625, 406635, 406645, 406655?\nAnswer: 406665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 164*c + 1161. Let n be d(-7). Solve 0 = -7*a - n + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 6*z - 24. What is n(-7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538510669.\nAnswer: 538510669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 41*i**2 + 2*i - 9. Let w be p(-7). Let h = w - -91. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 87*h**2 + 253*h + 96. Give u(-84).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*j = 197*j - 154 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -388271598 and -8126?\nAnswer: 388263472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207298, 1658153, 5596180, 13264963, 25908086, 44769133, 71091688?\nAnswer: 106119335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 + 117\/(-5). Let j = l + 27. Solve -3*s - s = -16, 0 = o - j*s + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 68.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(270))*1 + sqrt(30) + (sqrt(240) + sqrt(240) + sqrt(240) + -1*sqrt(240))\/sqrt(8))\/((sqrt(1210) - -1*sqrt(1210))*-6).\nAnswer: -7*sqrt(3)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 129. Suppose 0*f = f - 4*l + 53, 2*l = 10. Let h be (9\/2)\/(f\/(-4)). Put h, 5, m in increasing order.\nAnswer: m, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/55088 and 97\/1322112.\nAnswer: 1322112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 234218100913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4505469 to the power of 1\/2, to the nearest integer?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*k - 5*o, -2*k + 8 = 3*o + o. Suppose -k*c - a + 282 = -101, -2*a = 6. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -8. Solve 0 = -4*d - 5*x - 3, 5*d - 3*x + 7 = -r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 2512*d**3 - 1053892*d**2 - 3179200*d - 2122800 = 0. Calculate d.\nAnswer: -915, -2, -1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 11*y - 12. Let j be w(-9). Suppose -2*b + 6 = p, b + 4*p = -b + j. Solve 8*d - 3*d - 2 = -c, b*c = 2*d - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - 4.11. Let m = 14.98 + -15. Let s = m + -0.08. Which is the second biggest value? (a) -3\/4 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*b + 37 = 0, -3*b + 91 + 39 = 4*x. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4365 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 25*z = 35*z. Solve 27*p + 12 - 93 = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v**3 + 8*v + 27. Let c = -26 + 42. Let u(z) = 0*z + 4*z + z + c*z**3 + 18. Let w(i) = 5*k(i) - 8*u(i). What is the derivative of w(n) wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1143 (base 5) to base 11\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {d: 4, s: 1, i: 1, p: 3, f: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l)**(-22) assuming l is positive.\nAnswer: l**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 3, c: 1, y: 2, s: 2, v: 2}. Give prob of sequence yyv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122774 or -2\/1163?\nAnswer: -2\/1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-6 + (-12)\/120*26 + 5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -347 and -54654\/157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77.2? (a) -2\/3 (b) -0.524 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 1, x: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**4*l - 2*g**3 + 9*g**2*l + 1559*g**2 - 26*g*l - 1524*l - 2 wrt g?\nAnswer: 48*g**2*l - 12*g + 18*l + 3118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41481*-27.\nAnswer: 1119987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5420634, -10841258, -16261872, -21682476, -27103070, -32523654?\nAnswer: -37944228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 322309\/30 + -10745. What is the common denominator of (-28)\/(-6)*(-3)\/2 + (-56)\/24 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281 - 269. Let r be -25*x\/(-90)*2337. Round r to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -899192*d**5 - d**4 - d**3 + 3605958*d**2 wrt d.\nAnswer: -53951520*d**2 - 24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 796 or 800?\nAnswer: 800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/11))**47)**46 assuming v is positive.\nAnswer: v**(2162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12693 (base 12) to base 4\nAnswer: -12021033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -670106819.4361 take away -2.3?\nAnswer: -670106817.1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 25 = -22, 5*y - 3*h - 1551 = 0. Calculate the least common multiple of y and 264.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*z - 52*z - 52*z - 50.\nAnswer: 2*z - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 712 and 2314.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7524118 is divided by 2508015.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111010010010101000 (base 2) to base 6.\nAnswer: -14423000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/8 + ((-27)\/(-12))\/(-9). Suppose -70 = -2*i + h*j, 2*i - 41 = i + 4*j. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-621)\/(-90))\/23*10\/28)\/3\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14437 (base 9) to base 4\nAnswer: -2121223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*k - 12535 + 34055 = 0 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*h - 130*h - 1, 2*h = -5*p + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u**3 + 648 - 1294 + 646.\nAnswer: -43*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0706 * 24.\nAnswer: 1.6944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/5 + 4*b**4\/5 + b**3\/5 - 4*b**2\/5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -19*z**4\/12 - 11*z**3\/6 - 11*z**2\/2 + 14*z. Let j(h) = -10*h**2 - 6*h - 6. Determine 11*j(c) - 6*y(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**3 + 0 + 7\/30*x**6 + 0*x + 1\/3*x**4 - 7*x**2 + 3\/5*x**5. Solve l(o) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 + -84 + 170 + -8.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*((-176)\/12 + 7). Suppose 6*v + 187 = b*v. Suppose -4*w = -2*n + 248, -4*w + 6*w - 404 = -3*n. What is the highest common factor of n and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(4*k - 4*k - 2*k) - 2 + 2 - 2*k + 10*k - k - k + (3*k + k - 2*k)*(31 + 25 + 19)*(-4 + 6 - 1).\nAnswer: 154*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1148115 or -1148113?\nAnswer: -1148113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:20 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36, 281, 1138, 2805, 5552?\n\"Answer: 45*h**3 + 2*h - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1723653*t**3\/7 - 11938379*t**2\/7 - 890380*t\/7 + 36 = 0. Calculate t.\nAnswer: -2\/27, 18\/63839, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126*w**5 - 1886*w**3 - 746082*w wrt w.\nAnswer: -2520*w**3 - 11316*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-15)\/12) + (-14)\/(-8). Let h(k) = 68*k + 4. Is h(q) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let c(v) = -v**3 - v**2 - 7. Let i be c(0). Let y be g(i). Sort y, -4, 3.\nAnswer: -4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150a7 (base 15) to base 16\nAnswer: -10849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 12:50 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -230*k - 1377. Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 44*l + 147. Let r be d(-41). Is 22 a factor of 18\/r + 85\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1452800 to the nearest ten thousand.\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**3 + 3*i**3 - 5*i**3 - 8*i**2)*(1 + 0 + 0) + 0*i**3 + 6*i**3 + 0*i**3 to o*i**2 + r*i**3 + j*i + c and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {g: 3, e: 1, k: 3, u: 1, t: 5}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 + 16.31. Let a = 16.026 - z. What is a rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 212258149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1724 + -1722. Solve -3*b + h*z = -4, -3*b + 5*b - 6 = 3*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 20*b**2 - 4*b + 5. Let s = 4712 + -4711. Calculate p(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeza when four letters picked without replacement from {z: 3, a: 2, u: 3, q: 1, p: 3, e: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35243 is divided by 88?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/7 - 11\/21. Suppose 6 = -3*h - 6. Let x be 2\/(h\/(-3) - 2). Which is the smallest value? (a) w (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4839387 divided by 32921?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2604 and 496?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 1053?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -61*f + 61*f + 4*f**3 - 8*f**4 + 4*f**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -8131 (b) 5 (c) 4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*o = 106, -5*o = 5*u - 16221 + 16416 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + y)*(-13*y**3 + 14*y**3 - 13*y**3)*(496 - 102 + 546).\nAnswer: -11280*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + sqrt(245) + (sqrt(245) - -3*-2*sqrt(245) - sqrt(245)).\nAnswer: -28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -10. Let s be (-34)\/(-1 + 4 + -5). Let y = s + -15. Put -5, t, y in increasing order.\nAnswer: t, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3\/3 - 335*b**2\/3 - 1600*b - 3840 = 0. Calculate b.\nAnswer: -48, -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 651270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 262116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 210158, -5, 3, -2 in ascending order.\nAnswer: -5, -2, -2\/7, 3, 210158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a week in minutes?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1431, -2104, -2019, -1176, 425?\n\"Answer: 379*w**2 - 1810*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gimgmsgig. What is prob of sequence is?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-48)*12)\/((-34)\/680).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2313, -4587, -6863, -9141?\n\"Answer: -y**2 - 2271*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 34. Let s be j(0). Suppose -o - 85 = -3*t, -5*o - 83 = -4*t + s. Is (t\/(-6))\/(10\/(-75)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 940?\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1364352 and 794903?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 64.9. Put 0, y, -0.4 in increasing order.\nAnswer: -0.4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31121, 62232, 93335, 124430?\n\"Answer: -4*y**2 + 31123*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2928, 11691, 26316, 46815, 73200?\n\"Answer: 2*f**3 + 2919*f**2 - 8*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*l + 42*l + 17982 = 72*l. Solve -167*n - 30 = -l*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 7.46 (c) -0.5 (d) 3\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904.262129 rounded to 0 decimal places?\nAnswer: -1904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j - 13. Let w(o) = -o - 1. Let a(t) = k(t) + 4*w(t). Let u be a(-10). What is the tens digit of (4 - 2)*u\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238 + -152 + -18 + (38 - -3)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19336815.\nAnswer: 3, 5, 431, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 + 9 + 114 + (56 - 91).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 - -0.06. Let o = -119 + 122. Suppose 0 = o*d, -21 = 3*q + 2*d + 2*d. What is the nearest to 1\/4 in q, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.664 (b) -2 (c) 3.451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199743*-7.\nAnswer: -1398201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-738)\/(-41))\/((3\/(-8))\/((-85)\/136))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**6\/60 - 2*w**5\/5 - 11*w**4\/12 + 3*w**2 + 1. What is c in z(c) = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3326 + 4618. Does 55 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40 + (-1 - 3))*(-10)\/(-6). Let w be 5*4\/(-70) - b\/(-14). Suppose -l + 5*x = 4*l - 100, 0 = 5*x - 5. Solve w*v + 1 = l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1067 (b) -4.2 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1651 (base 13) in base 6?\nAnswer: -23101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5 - 2*f**5 - 3*f**3 - 4*f**2 + 4*f + 2*f**4 + 5*f**5.\nAnswer: f*(f - 1)**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1384016690 rounded to the nearest 100000?\nAnswer: -1384000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.05, -2.5, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2242333 - -3842333. What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = y + 51, -5*w + 2*y + 131 = 3*y. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.03 and 25924315.58.\nAnswer: 25924314.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12855, -25708, -38559, -51408, -64255?\n\"Answer: x**2 - 12856*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -40*c + 141. Let b be k(-19). What is the highest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134738 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:17 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 7, f: 2, o: 3, l: 6}. Give prob of sequence ljko.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7803321 and 73809?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -59, -6, -2, -488, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*x - 4*m - 9, 2*m + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -284 and -15.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1143040 - -0.76\nAnswer: -1143039.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4226025556?\nAnswer: 2, 347, 1087, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 4, -8, 5, 407.\nAnswer: -9, -8, 0, 4, 5, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34125 + -a94?\nAnswer: 33141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-5*sqrt(99)*-2*4)\/(sqrt(9) - sqrt(63)\/sqrt(175) - -3*(sqrt(9)*-3 - sqrt(9) - sqrt(9))))**2.\nAnswer: 3960000\/5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/817 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 270407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22567509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(120\/68))\/(22\/(-1320)*20)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(2*j**2 - 2*j**2 - j**2) - 2*j**2 - 11*j**2 + 2*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(10\/7)\/(k**(-21\/2)*k))**(-5\/3) assuming k is positive.\nAnswer: k**(-255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 0.4. Let l = b - -0.5064. Let m = l - 0. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 3*r**2 + 3*r + 5. Let m(w) = -4*w**3 + 7*w**2 - 7*w - 11. Let x be (6\/(-10))\/(3\/45). Let h be 6\/x*(-6 - -3) - -5. Calculate h*f(p) + 3*m(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(9*l - 65*l - 2048*l**2 + 2104*l**2).\nAnswer: 56*l**2 - 56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**4\/5 - 11469*c**3\/5 + 497928*c**2\/5 - 3037596*c\/5 + 835056 = 0.\nAnswer: -3866, 2, 5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -6. Suppose -2 = s*v - 4*a, -v + a + a = -2. Let i = 5 - 9. Put v, i, 2 in ascending order.\nAnswer: i, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/121 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u**3 - 2*u**2 + u**2 + 2*u**3 + 6*u**3 - 5*u to the form g + d*u + l*u**3 + x*u**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*((10 - 4) + -5). Sort f, -22, -14 in ascending order.\nAnswer: -22, -14, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -467085, -1 in increasing order.\nAnswer: -467085, -60, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 8 - 108*j**2 + 1904*j**2 - 3*j - 3 in the form y*j + c*j**2 + m and give c.\nAnswer: 1796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + h = -16, -2*j - j = 3*h - 27. Let l(o) = o**3 + 5*o**2 + 3*o - 2. Let f be l(-4). What is v in -2*v - v**2 - 3*v**3 - v**j - 3*v**4 + f*v = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 + 3036*c + 796176 = 0.\nAnswer: -228, 1746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 93.34. Round c to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231861940434 - 10.\nAnswer: -231861940444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 47\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 smaller than 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83237 by 11.\nAnswer: -7567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:06 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 15. Let o = 19 - 13. Let j = 9 - o. What is the second biggest value in j, v, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.4084l to millilitres.\nAnswer: 22408.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z + 5. Let k be g(-3). Let a = -14 - k. Suppose j - 5*j - 4 + 3*j - j + a*j**2 = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -7*p**4 + 29*p**3\/3 + 18. What is the third derivative of o(f) wrt f?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/3 - 2815*u - 648432 = 0. Calculate u.\nAnswer: -8208, -237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4\/4 - s**3 + 4*s + 415. Let a(i) = -i**3 + i**2 - 1. What is -4*a(v) - u(v)?\nAnswer: 3*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 170*l**2 - 7708*l + 40344.\nAnswer: -(l - 82)**2*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 359207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/((-1)\/(5\/130))). Let j(a) be the second derivative of -8\/33*a**3 + 0 + 9\/110*a**5 - 4\/11*a**2 + g*a + 1\/22*a**4. Let j(p) = 0. What is p?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhx when three letters picked without replacement from xxuxxuxxhxhxxhxxx.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101000111000001 + 1000100?\nAnswer: -1100101000101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32200 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 2521840.1.\nAnswer: 2521843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*a*l**2*u**2 - 5*a*l**2 - 3*a*l - 7*a*u**2 + a - 5*u**2 - 14 wrt u.\nAnswer: -26*a*l**2*u - 14*a*u - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*r - 203*r + 2*f = 0, 0 = 3*r + 4*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/23 (b) -5 (c) 53\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeukuek. Give prob of sequence kee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 + 0*k**2)*(-350 - 49*k + 350 + (-3 + 2 + 2)*(2*k - k + k))*(-271 - 2*k + 271).\nAnswer: -188*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-1 - (3 + -5)). Suppose 4*w - 442 = -2*m, o*w = 5*w - 15. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 2.9. Let p = -43 + j. Let q = 4 - p. Which is bigger: q or -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.686 - 0.89. Let x = n + -0.096. Let h = 1960\/9 - 218. Which is the smallest value? (a) x (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 70*y - 1944. Let u be v(30). Solve -u*o - 3*j = -155*o + 8, j + 16 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (3 - (-7 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 9 = a. Let z be (-207)\/184*8\/6. What is the biggest value in -4\/7, a, z?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x. Let k(s) = -25*s**2 + 126*s. Calculate c(k(w)).\nAnswer: 100*w**2 - 504*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108 - -71 - (-2 + -6)) + 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80\/24*1\/(-10*(-6)\/108). Solve s + 9 = j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x + 3*x + (-x + 4*x - 4*x)*(4 - 2 + 0) + 4*x - 16 - 198 - 45.\nAnswer: 5*x - 259","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22742730 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 2033?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (134\/28 - 5)*4\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 5, -3, -2 in increasing order.\nAnswer: -78, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 5) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3304 and 3790808?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:09 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 76*k - 352. Give m(-64).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8826 divided by -13\nAnswer: 8826\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*b + 1. Let i(p) = p**3 - p**2 + p + 1. Let o(v) = -17*v**3 + 10*v**2 - v - 3. Let c(x) = 6*i(x) + o(x). What is the tens digit of c(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 13*c + 6. Let j be p(-16). Let g = j + -49. Suppose g*r = 5*b + 20, -r = -3*r + 3*b + 9. Solve 0 = -4*y - u + 8, r*y + 1 = u + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36536?\nAnswer: 2, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 399373772 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 3*x**4\/4 + 2*x**3\/3 + 3*x**2\/2 + x - 186. What is w(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 5*i - 316, 2*t = -3*i + 348. Let v = -169 + t. Does v = 5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11651.682 months?\nAnswer: 97.09735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 9. Let s = c - 20. Calculate the remainder when 26\/((-5)\/(s\/4)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8750466*d*i**2 - 265*d*i - 188*d + i - 8 wrt i?\nAnswer: -17500932*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*y + 2. Is 23 a factor of y\/(-2) + 930\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163910 divided by -149?\nAnswer: 163910\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**3 - 158*l**2 - 96*l - 53. What is b(-31)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = 5*s, 2*s + 6 = -4*a. Suppose -11*o + 6*o + 15 = a. Suppose 0 = -o*j + 2*k + 197, 4*j - 248 = -0*k - k. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8701 is divided by 6842.\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + -28 + 28 - (-130 - -24)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-5)\/(-30)). Suppose u + 4 = -f*x, 0 = 2*u - 5*x + x - 16. Suppose 3*k + 214 = u*p - 31, -4*k + 4 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6221 + 4137. Let d = 2082.973 + t. Let u = 0.9659 + d. Round u to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -696*n - 4090. Give q(-9).\nAnswer: 2174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*sqrt(5445)*-6)\/(6*-5*sqrt(3600)).\nAnswer: 22*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + -0.05. Let z = -2.158 + 0.078. Let j = 0.08 + z. Put 1\/5, j, d in ascending order.\nAnswer: j, d, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 794 and 5566\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/g*g)**(-50) assuming g is positive.\nAnswer: g**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/2, -1\/4, 1.9, 1 in decreasing order.\nAnswer: 27\/2, 1.9, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 6*d**2 + d - 1. Let y be k(6). Suppose -c - 4*p = -24, 6*p - 25 = p. Sort c, y, -2 in ascending order.\nAnswer: -2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 9 = 33. Suppose -5*b - i + 366 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257073733 to the nearest integer?\nAnswer: 35455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-6480)*-666 + 1\/(-1)*5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*z - 10. Let s be (-4)\/z - 4\/(-2). Factor 1\/3*b**s + 0 - 1\/3*b**2 + 0*b + 0*b**3.\nAnswer: b**2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 - 124. Suppose -32\/11*j**3 - 512\/11*j + 2\/11*j**4 + 512\/11 + 192\/11*j**l = 0. Calculate j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 21*g - 40*g + 4*g - g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2\/5 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 - 1 = 0. Let l = -41 + 31. Let b = w - l. Calculate the highest common divisor of 88 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50699, -51031, -51359, -51683, -52003, -52319, -52631?\nAnswer: -52939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.109 - -1.891. Let s = -197\/56 - -22\/7. Let l = 3.2 + 0.8. Put -0.5, l, n, s in ascending order.\nAnswer: -0.5, s, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = n - 27, 5*t = -2*n + 3*n + 33. Suppose 0 = 8*u - t*u - 2*l - 6, 0 = 3*u - 2*l - 14. Let r(z) = z**3 - 8*z**2 - 2*z + 12. Determine r(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 13, 3\/4, 2\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*o = 4*b + 61*o - 2979, 5*o = 5. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*t - 2*g, -3*g - 5 = -3*t - 5*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**6\/240 - m**5\/120 + m**4\/3 - 2*m. Let l(i) be the third derivative of o(i). Calculate l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 6)*(-1 - 1 + 4)*(4 + 3 - 4)*(-2 + 6 - 3)*(3 - 6*r - 3).\nAnswer: -216*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from gvgvgvvvgvgvg?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-48)\/360*(-15)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -272*p + 5625. Let i = -8014\/5 - -1624. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3 - 3)*(106 - 7 + 44) + 2*s + 1 - 1 + 0*s + 0*s - 2*s - 2*s - 1 + 1 + (-s + s + s)*(2 - 2 - 1) - 6*s + 2*s + 2*s.\nAnswer: 138*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5584760 and 40?\nAnswer: 5584760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231394 or 26.3?\nAnswer: -231394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 16 + 1 = -4*c, 3*g = 3*c - 9. Let a(q) = -4*q + 9. Calculate a(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3095832 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10808665 divided by -1405\nAnswer: 7693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*w**3 + 78718 - 51486 - 27232.\nAnswer: 144*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (1 - -1)\/2. Let z(v) = 0*v - 6 - 3*v + 6*v + 5*v**2 - v**3 - v. Determine z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-101452913)\/(-5270068)*(-1 - 159\/(-162)). Let m = 1\/69343 + h. Calculate the common denominator of m and -83\/30.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 567, 547, 527, 507?\n\"Answer: -20*z + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 160, 438, 902, 1552, 2388, 3410?\n\"Answer: 93*c**2 - c + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -404 + 589. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31418?\nAnswer: 2, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -2*z + 0 - 1\/2*z**2 - 1\/6*z**3. What is the first derivative of g(n) wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/40*(-20)\/(-1). Let v = 12 - o. Is 6 a factor of (v - 3)*-1 - -23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3648)\/(-528) + 220\/(-242).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 407.8055ml?\nAnswer: 0.4078055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 12*o + 40. Calculate the lowest common multiple of 8 and f(14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {v: 1, p: 4, d: 2, f: 1, s: 11, b: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1546 - 866 + 2*k**3 - 853.\nAnswer: 2*k**3 - 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/84 and 103\/180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + o**4 - o**2 + (8 - 8 - 3*o)*(-7*o**3 - 4*o**3 + 15*o**3) as y*o**4 + g*o**2 + t + h*o**3 + f*o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64148 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 22. Let r be q(6). Let t be 39\/(-26) + 13\/r. Sort t, -5, 1 in increasing order.\nAnswer: -5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -5*x + 291. Suppose j - x = -4*c, 0*j - 4*j + 24 = 2*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: What is 5908527 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*o*t**4 + 172*o*t**3 - 270*o*t**2 - o*t - 5*t**4 + 2*t**3 + 2*t**2 - 69 wrt t.\nAnswer: 144*o*t + 1032*o - 120*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77035 - 77035 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/4 + 23*m**3\/3 + 15*m**2\/2 + 16*m + 63. What is the tens digit of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.17176999 rounded to 2 dps?\nAnswer: -12.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3 + 11*b**2\/2 - 26*b + 75. What is the remainder when 97 is divided by a(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {e: 4, j: 1, p: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(11)*-3*3.\nAnswer: -9*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47271273.\nAnswer: 3, 7, 233, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -11, 0, 0.16, 3 in ascending order.\nAnswer: -11, -1, 0, 0.16, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/30 - o**4\/4 - 71*o**3\/6 - 10*o**2 - o. What is the derivative of l(s) wrt s?\nAnswer: 4*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*g + 556*g - 160 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 8 + 3*j**2 + 5*j**2 - 4*j**2 in the form t*j + q*j**2 + x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < -88032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcvc when four letters picked without replacement from mcmvjmmvjljmmmmcm.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:56 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = 8 - 93. Suppose s*n = 2*n - 7*n. Solve w - 2 - 3 = n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9916, -10454, -11378, -12682, -14360, -16406, -18814, -21578?\nAnswer: -24692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/(81\/(-243)*8\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 0.6, -0.2, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-168)*-6*1. Which is the nearest to 1\/2? (a) 2 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, 179, 0, -0.3, 5, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 3 + 3. Let j(p) be the second derivative of -5*p**3\/6 - 3*p**2 - 4*p. Let l(d) = -4*d - 5. Let u(x) = 5*j(x) - 6*l(x). Calculate m(u(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + x + 6 = -4, -2*m - 3*x = 10. Suppose 0 = 5*d - 2*d + 9. Suppose 0*h + 12 = 4*h. Sort m, d, h in ascending order.\nAnswer: d, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k + 31*k = i - 20, 4*k + i - 74 = 0. Solve -v + 16*x = k*x + 6, -4*x - 24 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1375, -5331, -11785, -20731, -32163, -46075, -62461, -81315?\nAnswer: -102631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*j + 31*j - 27*j)*(-20 + 10 - 8).\nAnswer: -576*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58174 or 0.1?\nAnswer: -58174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 3077?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2451621 divided by 159.\nAnswer: -15419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 4)*(-6*r - 52*r + 5*r)*(-4*r + 3*r + 2*r)*(-4 - r + 4) as m*r + z + h*r**2 + d*r**3 and give d.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -143 in increasing order.\nAnswer: -143, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 2*m**3 + m**3 + 3*m**3 + 3*m**3 - 5*m**3 + (4*m**2 - m**2 - m**2)*(-2*m + 0*m + m) - 3*m**3 + 0*m**2 + 0*m**2)*(-412*m + 153*m - 461*m).\nAnswer: 3600*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*(-42)\/(-15). Suppose 5*i - 3 = m. What is the lowest common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -27. Let n be m + (-241 - (3 + 2)). Let c = n + 428. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - n**4 - 13*n**3 - 13*n**3 + n**4 + 24*n**3 - 2*n**2 + 190 to the form x + f*n**3 + c*n**4 + s*n**2 + p*n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 345 - 1003. Let i = -658 - y. Let j = 10.05 + -0.05. Which is the nearest to i? (a) 0.5 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312\/205 + 3\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1414.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1703 - -2?\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79 - h**3 - 79 - 2*h**2 - h**3 + 2*h**2 + (-6 - 2*h**2 + 6)*(0*h + 0*h - 2*h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + (sqrt(99)*2)**2 + -5 - -3*1*sqrt(99).\nAnswer: 12*sqrt(11) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5253\/20, -4, 0.01 in ascending order.\nAnswer: -5253\/20, -4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5266656 divided by -3?\nAnswer: -1755552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 434, -5, 48, 2 in decreasing order.\nAnswer: 434, 48, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -199 + 47. Let p(g) be the first derivative of 13*g - 26*g + 13*g - u - 2*g**2 + 7*g. Let q(l) = -3*l + 5. Give 5*p(v) - 7*q(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/6, -3.2, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1687 - -96.\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.063251 litres?\nAnswer: 3063.251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13220996 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1140 divided by -114\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*s - 113 = -0*j, 0 = -5*s + 20. Let h = -8226 - -172663\/21. Calculate the common denominator of -2 + j\/(-9) - (-98)\/(-16) and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 395 = 713 - 402. Suppose 5*j - j = 128. Suppose 2*l = 8 + j. What is the remainder when l is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 2 = 6*d. Is d at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - (-4 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -32*t**3 - 2*t**2 - t. Determine a(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25992, 25129, 23686, 21663, 19060, 15877?\nAnswer: 12114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 13938065*m + 27876110.\nAnswer: 5*(m + 2)*(m + 2787611)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:05 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4682 - 432. List the prime factors of t.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = -5*j, -4*d + 3*j + 0*j - 48 = 0. Let k be 0 + -2*(-1)\/d. Let i be (2\/(-4))\/(14\/16). Sort 5, k, i in decreasing order.\nAnswer: 5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/69)\/((-8998)\/3000833).\nAnswer: -87\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39129, 39132, 39135, 39138, 39141?\n\"Answer: 3*o + 39126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7 + -10)\/(483\/70 - 7) is divided by 95.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (391\/207)\/((-1241)\/(-438)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/930*(-248)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -438, -439, -460, -507?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k + 1. Let x be g(2). Suppose 3*q - x = 40. Solve 0 = 3*d + 2*t - 10, 2*t - 3 + q = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 22319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1635 - -1119. Let g = 516 + c. What is the closest to -1 in -3\/5, g, -4\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8818.0007274 - -8818. What is f rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002661 rounded to 5 decimal places?\nAnswer: -0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 + 5*m**4 - 2*m**4)*((1 + 2 - 1)*(-2*m + 3*m + m) - 111 - 13*m + 111).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 1 (c) 83 (d) -1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 8*o - 60 = 0. Put -16, 0, -17, o in ascending order.\nAnswer: -17, -16, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145*x - 570*x - 1071 = 626*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7294)\/(-56)*4\/1. Let t = -480 + b. What is the highest common divisor of 574 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469646603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1419, 11438, 38645, 91638, 179015?\nAnswer: 309374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = 0. Suppose t = -f*t + 4. Suppose t*a = g - 25, 5*a = 4*g + g - 80. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3313\/15180 + 2\/1265. Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*c - 458 = 314 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 8 - 10. Suppose 0*k + d*k = c + 16, 3*c + 48 = -4*k. Let l be c\/12*(-9)\/4. Solve -h + 4*w + 12 = 0, -l*h + 8*w = 3*w - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkkkkkkvkkkk?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 2. Let r be g(6). Suppose s - 5*h - 8 = -2*s, 0 = -5*s + h + 28. Let t = r + s. Solve 0 = t*b + 2*b + 3*l + 1, -2*l = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 6*a - 12*a. Let h(k) be the first derivative of -40*k**3\/3 + 446. Give o(h(z)).\nAnswer: 160*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 11. Suppose 9*d = 14*d - 30. Let s be 1 - 8\/d - 176\/12. Let f be 4\/10 + 126\/s. What is u(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 16*l - 11. Let j be t(15). Suppose -j*m = -16, y - 4 + 11 = m. Which is the second smallest value? (a) 4 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 72. Which is the closest to 1? (a) 5 (b) w (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -28) + -15 + -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 2 r when four letters picked without replacement from rwzprrmpprrmwrprm.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -71, -135, -225?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 59. Calculate the common denominator of ((-2)\/(-70))\/((-2)\/(-445)) and (5 + (-330)\/(-35))\/(24\/b).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Let j = 0.13 - -5.87. Let q = j + -7. What is the closest to 0.2 in q, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48293068.\nAnswer: 2, 12073267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1567051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 49*n - 51 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*w + 25 = 67*w + 77*w - 20*a - 36*a, 4*w + 2*a = -0*w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237762 and 39627.\nAnswer: 237762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.00224*2\nAnswer: 0.00448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 11 = 2*r, 5*l - 3*r = r - 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003549633 rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/7, 3\/4, -3, -2\/2069, -5, -0.1, -14\/19?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -35. Let k = -78 - -218. Calculate the highest common factor of k and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 81 = -4*x. Suppose -x = -2*o + 13. Suppose 4 = 3*d - 29. Calculate the remainder when o is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*p = -48, 3*a + 1739 = -5*p + 1747. Suppose 0 = 2*u - 5*j - 5, u + 26 = -3*u - 2*j. Sort -3, a, u, -4 in increasing order.\nAnswer: a, u, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - (-4 - (-8 + 2)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46434 is divided by 1011.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1323 - 12440?\nAnswer: -14313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 16) to base 2\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108860157 a multiple of 2930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q - 4. Let h = -5 - -7. Suppose -h*d + 2*w = -1 - 1, -5*w = 15. Sort d, q, -5 in ascending order.\nAnswer: -5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*f**3*m**2*w - 7*f**3*m**2 + 56*f**3*m - 11*f**3*w + f*m**2 wrt m?\nAnswer: -30*f**3*w - 14*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 335430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57767587*h*l**2 + 2252748*l**2 + 21 wrt h?\nAnswer: -57767587*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2450 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -11*w - 72. Suppose -g = -21 - w. What is the greatest common divisor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 9*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/12 + 0)*4\/3. Is 1\/43 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6 and 59\/10536?\nAnswer: 10536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 272 = 4*d - 265, -6 = 2*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9762 divided by 1627?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74030877 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 plus 29?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 6. Let g(w) = -2*w + 11. Let o(c) = -6*g(c) - 11*k(c). Let u(s) be the second derivative of 0 + 0*s**3 - s + 0*s**2 + 1\/6*s**4. What is o(u(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2 - -1 - 2). Suppose -b*h - 25 = 47. Let s = 37 + h. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgvcrgyrryrorrc. Give prob of sequence yc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818555069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1 - 0)\/(-1). Let o(q) = q**3 + 6*q**2 + 5*q - 3. Let h be o(-4). Let c be 80\/(-102) - (-6)\/h. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 7*g**2 + g + 1. Determine s(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55.7089 and -0.002.\nAnswer: 0.1114178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by 92.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -68. Solve g = 5*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 4. Let t(r) = 5*r - 7. Let g(m) = -7*l(m) - 4*t(m). Let z be 2*12\/(-32)*-8. Let h(f) = -6*f + z*f + 5*f**2. Give h(g(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/((-18)\/27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + w - 3*w + (-4 + 2 + 1)*(-w + 5*w - 2*w) + w + 0 + 0 - w + w + 2*w + w - 4*w + 5*w + (-1 - 1 + 3)*(-w + w + 2*w) + 179 + 5*w - 179.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {z: 1, t: 5, m: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 1, b: 1, r: 2, s: 11}. What is prob of sequence ba?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 65, -21, -187, -439, -783, -1225?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 2. Suppose u = 2*n - 2, 0 = 4*u - 4*n + n + 18. Let y(c) = 5*c - 7*c + 3*c. Determine u*y(q) + o(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6) + 2 - (1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgjcccjgcgcggggg. What is prob of picking 3 g?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 0.091, 3, -0.04681692?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2091 and 4551.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 3, 37 in ascending order.\nAnswer: 1, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3147300 and 33625.\nAnswer: 15736500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**9\/15120 + s**8\/2240 - s**7\/1260 - s**4\/3 - 5*s. Let d(g) be the third derivative of j(g). Find x such that d(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -10, -5, 2, 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 3*v + 0*v)*(-4*v + 2*v - v)*(-39 - 61*v**2 + 39) in the form d*v + p*v**3 + o*v**2 + t + j*v**4 and give j.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soss when four letters picked without replacement from {s: 3, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -668, -6.8, -72?\nAnswer: -668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(-99)*(-5874)\/(-2136)*(-36)\/22?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwnwyyywwwywnw. Give prob of picking 3 w and 1 y.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/16 - 102\/(-144). What is the closest to 2\/7 in 4, w, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(sqrt(5) + (sqrt(10)\/sqrt(2))**2)*4*4.\nAnswer: 48*sqrt(5) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196444?\nAnswer: 2, 67, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 182*d + 364. What is c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.93\nAnswer: -0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -17. Let o = -150.8 + h. Let m = 2.1 + -2. Which is the third smallest value? (a) o (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2653\nAnswer: -2653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 5*d + 7. Suppose -2*g + 35 = -59. Suppose -49*t = -g*t + 10. Determine c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 3852*g**2\/7 + 26890*g\/7 + 46056\/7.\nAnswer: 2*(g + 3)*(g + 4)*(g + 1919)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -23*o + 11. Let u(q) = -11*q + 5. Let p(g) = 4*d(g) - 9*u(g). Differentiate p(y) wrt y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57288 and 2409.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.217 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4419660 divided by -68\nAnswer: 64995","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o)\/((o**(28\/9)*o)\/o) assuming o is positive.\nAnswer: o**(-73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*u + 494 - 83 = -2343 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8682128*-0.2.\nAnswer: 0.37364256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5941, 8093, 10245, 12397, 14549?\n\"Answer: 2152*d + 3789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/213 or 1?\nAnswer: 19\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*f**3*r**3 - 3*f**3*r**2 - f**3 - 25231*f**2*r**3 + 373003*f**2*r**2 + 2*f*r**2 wrt r?\nAnswer: 264*f**3 - 151386*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/13 + 713828*v\/13 + 713826\/13 = 0 for v.\nAnswer: -356913, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8071 divided by 15\nAnswer: -8071\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 461*r + 358. What are the prime factors of i(90)?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 5*w. Suppose d - 3 + 0 = w. Let n be (d\/10)\/(12\/10). Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2.386, 3, 0.5 in descending order.\nAnswer: 3, 0.5, -2, -2.386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 4. Let f be 3\/(-6)*1*-10. Let w(r) = r**3 - 4*r**2 - 4*r - 2. Let i be w(f). Let h(o) = -3*o - 11. Give i*h(p) + 8*x(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4046926*a**3*u*x + 24*a**3*u - 2*a**2*u*x + 124*a**2*u - 2*a*u - 4*u - 1 wrt x?\nAnswer: -4046926*a**3*u - 2*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147175816.\nAnswer: 2, 853, 168109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etem when four letters picked without replacement from emteeemtrermm.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1752 by 4.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104000?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/360741 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 12:53 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 170, 5, -5, -1\/210?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, n: 1, i: 1, b: 8, s: 2}. Give prob of sequence bq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 36. Suppose 0 = -2*j + n + 10. Calculate the least common multiple of 20 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5946 - -9311. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 771981 or 771991?\nAnswer: 771981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 106.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294348 is divided by 3730?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3328 and 2288?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 548 + -458. Calculate the remainder when p is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-368064549)\/6 - (-4)\/(-8). Let a = k - -41544092. Round a to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.097 - 0.303. Let p = -12.3 - 39.7. Let x = -53 - p. Which is the closest to 0.1? (a) w (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c + 24 = -38*c. Suppose -5*g + 1947 = 3*o + 566, -1820 = -c*o + 4*g. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*((-36)\/84 + (-25831)\/14).\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -164*f**7\/7 - 41*f**3 + 161. Find the third derivative of y(c) wrt c.\nAnswer: -19680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzuuzzzzzz. Give prob of sequence zz.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125101693, -125101692, -125101691?\nAnswer: -125101690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13967679 or 13967648?\nAnswer: 13967648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ac6c6 (base 13) to base 7\nAnswer: 2442655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6788 + -6744. Calculate the highest common divisor of 418 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -35240534?\nAnswer: -35240532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 64*m**3 + m**2 - 1. Determine w(1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.04 + -1.44. Let d = -230.34 + 211.8. Let i = d + w. Round i to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31973043 is divided by 609.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + 18*i - 32. What is j(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/15*29)\/((-1)\/40). Suppose 0 = n*t - 467*t - 15. Let w(x) = 8*x + 9. Let h(l) = -l - 1. Let j(b) = 14*h(b) + 2*w(b). Determine j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**4 - w**2. Let c(m) = -3*m**4 - 5*m**2 + 1. Let h(f) = c(f) - 5*d(f). Differentiate h(r) wrt r.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 220, 313, 378, 403, 376, 285?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2*8\/6. Suppose 2*b = 33 - 29. Suppose -3*f + 67 = -0*f + b*y, 3*f - 59 = -q*y. What is the greatest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:03 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 - 1 = 0. Let j be 2\/p*7\/1. What is the greatest common factor of 28 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*b + 2*b. Let s(r) = r**2 - 6*r + 1. Let d be s(7). Suppose -b = a - d. Solve -a*t + 1 = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 2*f**4 - 3*f**3 + (f**2 - f + f)*(3*f**2 - 7*f**2 + 13*f**2) + 0*f**3 + 0*f**3 - 2*f**4 - f**4 - f**4 + 0*f**4 + 0*f**4 + f**4 + 0*f**4.\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 44. Let k be (a - -2) + (-1)\/((-3)\/(-21)). Let g(v) = 3*v + 6. What is g(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2713 - -2712. Let c be 0\/2 + -2 + 0. Suppose 0 = -2*y + 1 + 7. Sort w, c, y.\nAnswer: c, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + 9\/6. Let o = -3 - -3.4. Which is the second biggest value? (a) -4 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-19)\/(g\/g**(-10)))**(-2\/55))**(3\/14) assuming g is positive.\nAnswer: g**(18\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -479 + 796. Let t = -173 + p. Suppose t = 2*k - 110. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s - 34*s = 170*s - 3353344. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7059*b**4*h**3 + b**3*h**3 - 37*b**2*h**3 - 223*b*h**3 - h**3 wrt b?\nAnswer: -169416*b*h**3 + 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*(4\/42)\/((-6)\/9)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69311992*f**2 + 122815222 wrt f?\nAnswer: 138623984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q + 21. Calculate f(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*r + 16 + 3 = 0, 0 = b - 3*r - 7. What is the smallest value in -5\/8, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5463*g**2 + 21819*g**2 - 5457*g**2 - g**3 - 5451*g**2 - 5448*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -1\/2*w**2 + 1\/2*w**6 + 0*w**3 + 0*w + 0*w**4 + 4 + 0*w**5. What is the second derivative of j(o) wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 74*r - 22. What is d(1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 4*k - 4. Suppose -2*n = -0*n - 4*m - 116, 2*m - 230 = -5*n. Suppose -n = x + 7*x. Determine c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -940, -1, 3 in ascending order.\nAnswer: -940, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327646684.\nAnswer: 2, 23, 3561377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 + p + 1. Let g(m) be the second derivative of -2*m**5\/5 + m**4\/4 + m**3\/3 + 5*m**2\/2 - 4*m. Let z(a) = -5*g(a) + 35*u(a). Factor z(t).\nAnswer: 5*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-6)\/(612\/(-750))) + 7.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 1:02 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*-41.3\nAnswer: -123.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14681788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/3 - 110*l**2\/3 + 173*l + 210 = 0.\nAnswer: -1, 6, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/17 - 92808*k**2\/17 + 1054524378*k\/17 + 516335390860\/17.\nAnswer: 2*(k - 23437)**2*(k + 470)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wrr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1276068 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6211511 divided by -1913\nAnswer: -3247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1001)\/111 - (-7 - -1)*97\/11252*174?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90.1 - 71.1. Let y = 6 + -9. Put 3, v, y in descending order.\nAnswer: v, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(2736) + -1) + -2 + sqrt(2736) + sqrt(2736) + -2 + 1)**2*-3.\nAnswer: -74019 + 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -22*q + 181. What is c(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541746.\nAnswer: 2, 3, 30097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -208*m**6 + 8*m**4 - m**3 + 67*m**2 + 69*m - 1 wrt m.\nAnswer: -24960*m**3 + 192*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 - 152. Suppose 2*w - 2320 = -3*u, 0*w - w + 1182 = -4*u. Suppose l*p - 4*p - w = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/20 + d**4\/6 - 2*d**3\/3 + 2*d**2. Let z(t) = -t**2. Let x(v) = -f(v) - 2*z(v). Let k be x(-4). Solve n + 0 = -k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 10) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 4805375 - 1837565. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.81 - -0.19. Let h = -12 + 14. Is w greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -51. Let j be 414\/(-276) + (4 + -4)\/(0 + 3). Let c be ((-1)\/2)\/((-4)\/10). What is the nearest to m in c, -4, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4)*(707\/21 - 31). Let r(d) = 4*d + 27. Let j(l) = -17*l - 108. What is o*j(z) + 9*r(z)?\nAnswer: 2*z + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 4*m**3 + 5*m**3 - 2*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 112. Let n = -108 + p. Let l be 2\/8 - 27\/60. What is the closest to 0 in n, l, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -52. Let g = 57.3 + l. Let y = g + -3.3. What is the third biggest value in -0.2, y, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 276*c - 290*c - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + aa7?\nAnswer: aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43719*r**5 + 43764*r**5 - 101*r**2 + 2*r**6 + 2*r**4 - 3*r**6 - 2*r**4 wrt r?\nAnswer: -120*r**3 + 2700*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 1539\/76 - (1 + (-14)\/8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330.5 + -329.5865. What is t rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.36 - 0.14. Let g(v) = -v**2 - 6*v + 5. Let f be g(-6). Suppose 0 = f*p + 2 - 12. Which is the nearest to -0.4? (a) p (b) 2\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.82 + -1.18. Suppose 22*d = 24*d - 6. Which is the nearest to -1? (a) d (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 588761123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*1*(-403)\/(-52). Suppose -7*i + 1960 = 1722. Let u = k + i. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/5 + 1)*-5. Let k(h) be the third derivative of h**6\/360 - 29*h**3\/6 - 4*h**2 - 8. Let a(j) be the first derivative of k(j). What is a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5 - 41*i**4 - 38*i**3 + 80*i**2 = 0.\nAnswer: -40, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2614640\/49735)\/(7\/((-196)\/(-16))).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147839 is divided by 49266?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -124, -204, -342, -562?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -399, -530, -671, -828, -1007, -1214, -1455, -1736?\n\"Answer: -i**3 + i**2 - 127*i - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c**2. Let s(y) = 352812*y. Calculate s(v(f)).\nAnswer: -2469684*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-66)\/(-2))\/(6\/22). Suppose -3*v = 4*j - i, 2*j = -v - 2*v + 65. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(136) + sqrt(136))*6)\/(-2*sqrt(8)*4 - sqrt(8)) - (sqrt(1088)*-2*5 + 5)*-3.\nAnswer: -728*sqrt(17)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 7*s**2 - 9*s - 3. Let n be w(-8). Suppose -2*z + d + n = -2*d, 0 = 5*z - 3*d - 17. Solve c + z = -0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(-13))\/21*18\/69.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 0 (c) -1 (d) -19 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**4 - 10*q**3 + 28*q**2 + 10*q - 206. Let f(y) = y**4 - y**3 + 3*y**2 + y + 1. Let s(j) = 20*f(j) - 2*u(j). What is the derivative of s(c) wrt c?\nAnswer: 128*c**3 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -30*a + 180. Let f = 3 + -23. Is 5 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -11, 5, 4, -1148, -5 in ascending order.\nAnswer: -1148, -100, -11, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:40 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13561*a - 181*a**3 + 13561*a.\nAnswer: -181*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6*t**2 + 0*t + 1\/6 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 - 3*o + 2. Let n(a) = -a**3 - a**2 - a + 1. Determine 6*n(l) - 2*x(l).\nAnswer: -4*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1 - 0) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c - 20 = -2*n, 2*n + 10 = 0. Let m be (((-126)\/(-7))\/c)\/((-6)\/(-4)). What is the derivative of 4*w**m + 5*w**2 + 9*w**2 + 29 - 16*w**2 wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/9 - (-2)\/9. List the prime factors of (-2 - -1)*(z + -10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + sqrt(153)*2*1)\/(sqrt(9)*-1*-6).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {a: 1, k: 1, x: 7, o: 3, g: 2, s: 3}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/16*1)\/(((-189)\/(-28))\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 88. Suppose -3*v = -3*b - x - 25, -b + 15 = 5*v. Suppose v*f + 2*f - 966 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(8 - 351\/45)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3188 + 1106*z**3 + 1106*z**3 - 3323*z**3 + 1093*z**3 - 48*z**2 wrt z?\nAnswer: -54*z**2 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6419259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 48?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -134 and -1790?\nAnswer: 239860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1536 and 960.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 4 - 4 + (2*l + 2*l - 2*l)*(l + l + 2*l) + (3 + 2 - 4)*(-4*l**2 + 2*l**2 + 5*l**2).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 604*c**4*i**3 + 91*c**4*i**2 + 3206*i**3 - 5*i**2 + 11*i wrt c.\nAnswer: 2416*c**3*i**3 + 364*c**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(-3 + 1 + sqrt(128) + 6*(sqrt(128) - (-1 + sqrt(128))) + 0))**2.\nAnswer: 40000*sqrt(2) + 90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6905 - 6899. Solve 5*i + 3*m + 2*m = 5, i - b*m = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002700365677 to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60530980 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**4 + 0*c**3 + 0*c + 0*c**6 + 0 + 1\/70*c**7 - 3*c**2 - 17\/60*c**5. What is the third derivative of g(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 0.1, 3, 4, -2\/147 in decreasing order.\nAnswer: 4, 3, 0.1, -2\/147, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:35 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 1, 5, -395, -5 in descending order.\nAnswer: 10, 5, 1, -2, -5, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41656.83 millilitres?\nAnswer: 41.65683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 111*r - 4080. Give x(-57).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 7*k + 7*k)*(3 + 1 - 7) + (-1 - 4 + 3)*(k - 3*k + 0*k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 3*m**2 + 3*m**2 + m - m + m**2 + (-1 - 2*m + 1)*(0*m + 0*m + m) - m**2 + 1 - 1 - 3*m**2 - 7*m**2 - 3*m**2)*(-773 + 773 - 44*m)*(-3 + 2 - 3).\nAnswer: -2816*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddg when three letters picked without replacement from {g: 10, d: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, l: 7, k: 1}. What is prob of sequence aka?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + (5 - 2) - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100 (base 4) to base 2.\nAnswer: -11010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4 - (-175)\/10 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/30 + 6*b**2. Let l(w) = 0*w + w**2 + 0*w. What is v(l(c))?\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-6*1*sqrt(70) + sqrt(70) + sqrt(70)))\/(1*(sqrt(250)*5 - sqrt(10))) + -1)**2.\nAnswer: 2*sqrt(7)\/3 + 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 21*q = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 17420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u + 23. Let s(q) = 1. Let x(i) = -p(i) + 3*s(i). Let r(t) = -t - 7. Give 17*r(o) - 6*x(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x**2 + 28*x + 50. Calculate the lowest common multiple of 4 and f(-6).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5709.\nAnswer: 2\/5709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -21 + (0 - 0)*(-2)\/(-4). Let v = 39 + u. What is the units digit of (4 - 136\/36) + 464\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 76964 = -167*c. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*k - 204 - 234 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/415288 and -23\/536?\nAnswer: 27824296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 12*f - 19. Let x be o(8). Suppose -20 - x = 3*u. Let h = -10 - u. Solve 6 = -3*w, -q - w + 2 = h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**6\/120 + 8*i**3 + i**2\/2 + 66*i. Let b(q) be the second derivative of k(q). Let z(r) = 12*r. What is b(z(w))?\nAnswer: -432*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 4503*q**2\/4 - 44919*q\/4 + 49423\/4.\nAnswer: -(q - 1)*(q + 11)*(q + 4493)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 11 = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 137 = -5*q - 8, q + 4*b = 2*q - 4576 + 4554 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18\/10)\/(3\/15) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559\/23 < 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*o = -5*o - 23, 18 = u - 4*o. Let r be (u\/8)\/((-15)\/24). What is the smallest value in -2, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-3 - 2*u + 3)*(u - 2 + 2 - u + 3*u - u + (-u + 3 - 3)*(-3 + 3 + 2) + 0 + 0 + 2*u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0 + 4. Let y = -3 - -2. What is the nearest to y in 2\/9, u, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + i - 1. Let s(h) = -6*h**2 - 7*h + 8. Let f(j) = -5*o(j) - s(j). Calculate f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 2*w + 3. Let l(x) = x**2 + 1. Let p(q) = -4*l(q) + s(q). Let g be ((-6)\/6)\/((-2)\/(-2)). Let n be p(g). Let d(h) = -h**3 + 1. Determine d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m**14\/m*m)*m)\/m)\/m*m*m*(m**(-26)\/m)\/m)\/(m\/m**15*m\/(m*m**28*m)))**(-39\/5) assuming m is positive.\nAnswer: m**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 373 + 424. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144494779.\nAnswer: 11, 13, 47, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*v**2 + 4\/3*v - 5\/2 = 0 for v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f**2 + 6*f + 480. Let g(x) = 17*x**2 - 3*x - 477. Let b(r) = -5*g(r) - 6*t(r). What is the first derivative of b(z) wrt z?\nAnswer: 22*z - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from ofopfupccfufp?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171\/689 + 5\/53. What is the closest to -23 in 4, d, -0.03?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:50 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - i = 39, 2*d - 99*i + 97*i + 72 = 192 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**4 + 19545*w**2 - 327*w + 29 wrt w.\nAnswer: 12*w**2 + 39090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/((sqrt(12)*-2 - sqrt(12)) + sqrt(12)))\/(6*sqrt(12)\/sqrt(2)) + 0)**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-1)\/((-9)\/12). Suppose -n*f - 3*t + 12 = -f, 4*t + 26 = 3*f. Let o be 22\/f - (-34)\/(-51). Solve 0 = -o*r - 3 - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (111\/9)\/(364\/(-117)) and 85\/126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*v**2 + 0)*(-8 - 6 + 2)*(-v + 2 + 5*v - 2*v) to o*v + q + x*v**3 + r*v**2 and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -2) + 280 + -107 - (10 - (-4 + 3))?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 139.7459. Let h = 0.75 - y. What is h rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - ((3 + -10)*7)\/1. Let h be (-170)\/b*18\/(-5). Let t be 0*((-6)\/(-9))\/(16\/h). Solve 5*r - r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0 + 0*y**3 - 2*y + 1\/6*y**4 + 0*y**2. Let c(a) = 0*a - 2*a + 3*a. What is c(z(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348520602?\nAnswer: 2, 3, 137, 423991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702186 divided by -6.\nAnswer: -117031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -133352\nAnswer: -133265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 5*t**3 - 13814 + 27563 - t**2 - 13940 to the form h*t**2 + s*t**3 + g + l*t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 16 = -c, -6 = -3*c + 29*a - 27*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7848*x**3 - 4*x**2 - 78617*x + 2?\nAnswer: 47088*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 4*g**2 + 2*g. Let i be b(-4). Let x = 127 + i. Let o = x - 72. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 4*y**2 - 5. Let j(u) be the third derivative of u**6\/120 - u**5\/30 - u**3\/3 - u**2. Give -9*j(t) + 4*o(t).\nAnswer: -t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 43*z + 12 - 633*z + 619*z.\nAnswer: -57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 16. Let h = -2 + 3. Suppose -b = -9 - h. Calculate the highest common factor of t and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r**3 + 2*r + 11*r**3 + 3 + 3*r - 88*r**2 - 22*r**3 + 84*r**2 as j*r**2 + y*r + a + s*r**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 9646*q + 9646*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57245 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-8)*((-1 - -15) + 13950\/(-1125)). Let 2\/5*k**3 - 2\/15*k**4 + 0 + 0*k - 4\/15*k**q = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)**(-42)\/((y*y**6)\/(y**3*y)))\/(((y*y**(-1\/2))\/y)**(-10)\/(((y*y*y\/((y**(-5)*y)\/y))\/y)\/y**(-4))) assuming y is positive.\nAnswer: y**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from totttttt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1 (c) 469\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(4\/10)*(15 + -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**2 - 725*m - 1330.\nAnswer: 5*(m - 38)*(4*m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197529?\nAnswer: 241, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(41\/41).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -242 or -223?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*y + 83 + 1 = 0, -5*h - y + 124 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 129458700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -283 (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-40))\/(-3))\/((-11)\/(-44))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/((2\/(-4))\/(15 + 22797\/36)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 81224*n. Let l(q) = -2*q. Calculate k(l(y)).\nAnswer: -162448*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 10:35 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.0956.\nAnswer: -0.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1*(-3 + 4). Let n(v) = v + 2. Let u be n(q). What is the units digit of 1 - u - (-21 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + (sqrt(10) - sqrt(90))\/sqrt(5))**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5118a (base 12) to base 13.\nAnswer: -39127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 218 + 6 = 3*t, 3*t = 2*k + 248. Which is smaller: 77 or t?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/9 + 8146*n\/9 + 8137 = 0 for n.\nAnswer: -8137, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*m = 1094, -d + 5*d + m - 865 = 0. Calculate the remainder when d is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10) + 1282\/(-20)*2. What is the least common multiple of (-76)\/266 + v\/(-7) and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -164. Let w = a - 35. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202472*p**2*s**5 + 44*p**2*s**2 + 20*p*s**3 + 78*p*s**2 + 7*p*s - 13 wrt s?\nAnswer: 12148320*p**2*s**2 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11648 = -3*l + 7*l. Let g be (-15352)\/l + -6 - (-6)\/8. Let w = -827\/364 + g. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2051*h - 45112. Give w(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15028.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.17, 328 in increasing order.\nAnswer: -5, 0.17, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21240302 (base 5) in base 11?\nAnswer: -113845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2\/5 + 187478*w\/5 - 8787000121\/5 = 0.\nAnswer: 93739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cooc when four letters picked without replacement from ocooooooooc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 2*z**2 - 52*z + 9. Let l be n(-10). Let a = l + 301. What is the lowest common multiple of 9 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*r - 2*b, 0 = 3*r - 5*b - 32 - 2. Let v be 2\/r + (-3)\/12. Let o(a) = a**3 - 66*a**2 - 63*a - 268. Let t be o(67). Solve f - 1 + t = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/11)\/u)\/((u**(6\/13)\/u*u*u*u)\/u))\/(u**(-5\/4)*u\/u**7*u) assuming u is positive.\nAnswer: u**(2271\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 22*g**2 + 12*g - 235. Determine c(-23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -198, -390, -576, -750, -906, -1038?\n\"Answer: q**3 - 3*q**2 - 190*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 29*a**9\/28 + a**5\/6 + 374*a**2. What is the third derivative of w(h) wrt h?\nAnswer: 62640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 less than -65111146.37?\nAnswer: -65111659.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 351578439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 11 + 1. Let k(l) = 2*l**2 + 17*l + 21. Let a be k(-9). Suppose 0*y - y + 3 = 0, -o*x = 3*y - a. Is x at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001175 to 6 decimal places.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -5\/4 (b) -1 (c) 8406 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 6, -2*d - 190 = 2*f. Suppose -o = 2*o - 9. Calculate the least common multiple of 5 and 2\/o + d\/(-9).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 - -9.23. Which is bigger: 1\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -3, 8\/5, 5, -2\/9, 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from yyywyyyyyyyyyyywyy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1194, -2409, -3624, -4839?\nAnswer: -6054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 0, -2.18, -65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o**2 - 14*o**2 - o**2)*(-5*o - o + 4*o)*(2*o - 6 + 4*o + 4).\nAnswer: 360*o**4 - 120*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-335)\/(123950\/1776))\/((2\/5)\/(-1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*w\/(w*w**(-3)*w) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 4. Let y be p*(-2)\/((-8)\/6). Solve -y*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**4 - 15*j**2 + 6*j + 75. Let m(v) = -15*v**4 + 30*v**2 - 11*v - 153. Let w(k) = -11*f(k) - 6*m(k). Find the first derivative of w(z) wrt z.\nAnswer: 8*z**3 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13568 = -33*k. Let h = -410 + k. Solve 5 = -3*c + h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -429 + 431. Factor -1 + 1\/3*k**z + 2\/3*k.\nAnswer: (k - 1)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 159645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6460 and 2584.\nAnswer: 12920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 + -211. What is the tens digit of (-18 - -20)*(y\/(-3))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417*u**3 + 1079*u**3 - 1497*u**3.\nAnswer: -1835*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80654562167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 110 = 87 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/75)\/b)\/b**(-33)*b**(-1)\/(b\/((b\/(b\/(b**45\/b)*b*b))\/b)) assuming b is positive.\nAnswer: b**(5323\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.96 - 0.04. Let o = m + 1. Let u = o + 3. Which is the nearest to u? (a) -1\/3 (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 734 - 1361 - 3*i + 4*i + 683. Let l(v) = -v**2. What is x(l(y))?\nAnswer: -y**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 51\/2752672?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/9 - (-3032)\/36. Is 2 + (n\/(-2))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/(-9) - (-2)\/3. Let x be a\/4 + (-15)\/(-2) + 2. What is the greatest common divisor of 88 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h + 35 = 4*d, d = 2*h. Suppose d - 2 = 2*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 52750880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - i**2 - 2*i**2)*(-i + 2 - 2)*(-3*i - 1 - 3*i + 10*i).\nAnswer: -8*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 11*w**2 + 11*w - 12. Let y be b(10). Suppose -4*i + 12 = 0, 0*p + i = -p + 6. Put p, y, 4 in increasing order.\nAnswer: y, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-1100)*-22)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6*3\/2. Let o(s) = s. Let z(h) = 12*h + 6. Let y(f) = -10*o(f) + z(f). Let j(i) = i + 5. Let r(b) = a*j(b) - 4*y(b). Differentiate r(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 93*h + 229 + h**2 - 51*h - 73*h. Is f(42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b = 98*b - 4067. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749341553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3*b**4\/2 - 2*b**3\/3 + 3*b**2\/2 + 3*b + 2. Is y(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2*u**2 + u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*k - 22, 2*s - 5*k + 23 = -0*s. Let v(p) = 3*p**2 - 12*p - 1. Let j be v(4). Let l be j\/4 - s\/(-4). Sort 4, 2, l in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 104*z - 321*z = -100*z + 6566 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b**3 + 15*b - 12*b + 48*b**4 + 28*b**3 in the form k*b + z*b**2 + j + l*b**4 + o*b**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccchhc. What is prob of picking 1 h and 1 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*g - 10 = 0, f + g = 2*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115033 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(s) = s**2 - 14*s - 11. Let u be p(15). Solve 0 = u*w - w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 16}. Give prob of sequence udu.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-27)\/(w**(-1)*w)**(-9\/5))\/((w**(1\/2)\/w**6)\/(w**2*w\/(w\/(w*w**0)))) assuming w is positive.\nAnswer: w**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5 - 3 + 6*j + 2 - 3. Is l(9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/10)*z\/(z*z**28))\/(z**19*z**(-9\/2)) assuming z is positive.\nAnswer: z**(-206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-30)*5*8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 37.92. Let i = -1.92 - f. Let n = 0 - -0.2. Which is the fourth biggest value? (a) -5 (b) i (c) n (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 37 + -2 + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 1\/40*j**6 + 0 + 0*j + 0*j**3 + 1\/210*j**7 + 1\/24*j**4 + j**2 + 1\/20*j**5. Determine a, given that y(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/4 and 41\/481?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.07277 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, t: 2}. What is prob of sequence ll?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 11.338811045.\nAnswer: -12.338811045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*v - 9542 - 2608 = -65*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 180 = 2*i. Suppose 5*y - i = -4*t, -6*t + 16 = -y - t. Which is the biggest value? (a) 2 (b) y (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y - y)*(-1 - 3 + 6)*(-9*y + 7*y + 15*y + (y - y - y)*(3 - 4 + 3) + 8 + 4*y - 8).\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-1\/11)*b)\/b)**(4\/15) assuming b is positive.\nAnswer: b**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 4*h + 2. Let q be p(4). Find the second derivative of -n - n**4 - 4*n**4 + q*n**4 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 4*n + 4*n)*(4*n**4 - 6*n**4 + n**4).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-190))\/((-6)\/(-20))*45*2\/(-16).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 12. Suppose -5*w + t + 25 = 0, -d = -2*w - 4*t + 4. Suppose -3*b + 4*v + 33 = 0, v - 11 = -b + w*v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1 + sqrt(152))*-4)\/(sqrt(8) - sqrt(96)\/(5*sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**8\/1848 - g**7\/385 + g**6\/330 + g**2 - 4. What is b in i(b) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3505955?\nAnswer: 5, 29, 24179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + 1729 = 4*k, 5*c = -2*k - 8535. Let a be (2\/(-20))\/(1\/(-17158)). Let d = a + c. Find the common denominator of d and -5\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 12947?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 2*y - 4*c + 79, -278 = 3*y + 5*c. Let x = y - -235. Is 139 != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -148 (b) -3\/23 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11881270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0652 minus -24.90612?\nAnswer: 24.84092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 + j - 37. Let x be 152\/(-12) - (-4)\/6. Let l be (-2 - 33\/x)\/((-1)\/20). Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1815 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6829865 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-47 - (4 - -4 - (21 + 0))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*g = -15889 + 494 - 4439. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q. Let c(x) = 3*x - 7*x + 11*x - 4*x - 5*x. Calculate l(c(k)).\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*i + 31*i**2 + 271*i + 17.\nAnswer: 31*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + 8 - (-592 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -11, 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188652490.\nAnswer: 2, 3, 5, 37, 53, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34407 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1571584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 35626474?\nAnswer: 71252948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**6\/21 + 2*r**4\/7 - 4*r**3\/21 - 3*r**2\/7 + 4*r\/7 - 314. Solve t(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.62, 14, -0.5, -5\/3, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/((-108)\/(-27))*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*z - z. Let h = -1 - -3. Find the third derivative of 4*m**6 - 7*m**z + m**h - m**6 + 4*m**2 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 136*j**2 + 10550*j - 4537. What is f(-78)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 5, h: 5, s: 4, x: 1, k: 1}. What is prob of picking 1 h, 1 x, and 1 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 2. Let s(o) = 2*o**2 + 18. What is s(l(i))?\nAnswer: 72*i**2 - 48*i + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:46 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k + 45*k + x = 99, -k - 22 = 2*x. Let i(r) = -r**2 - 21*r - 14. What is i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 49, -4, 1, -9, 5, 8 in ascending order.\nAnswer: -9, -4, 1, 5, 8, 41, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31186, -30664, -29246, -26482, -21922?\nAnswer: -15116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:55 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:24 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(5 - 6) + 2. Solve 14*b + 3 = a*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116392, -1116391, -1116390, -1116389, -1116388?\nAnswer: -1116387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 587444535 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511954794?\nAnswer: 2, 1811, 693527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 173*p + 20357. Determine m(-83).\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 7) to base 2.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (-15 - -58) + -36.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(15\/(-77) - (-8)\/28). Suppose -16026 = -2*s - 4*m, -c*m - 40065 = -5*s - 13*m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-3)*f)\/f)\/(f*f**(-2\/11))*f**(2\/3)*f**(1\/4)*(f**(7\/2)*f*f**(-3))\/((f\/(f\/f**(-5\/7)*f*f*f))\/f**(1\/12)) assuming f is positive.\nAnswer: f**(523\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + 4*k + (-2*k + 0*k + 5*k)*(-2 + 2 + 5))*(0 + 2 - 1).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let v = d - -4. Suppose -13 = -2*r + 5*p, -2 = 3*p + v. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c + 1. Let y(a) = a + 1. What is y(g) - z(g)?\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*x - 3018, 2713 = 4*p + 2*x - 285. Let t = p + -750. Factor 2\/5*w**t + 0 - 3\/5*w**3 + 1\/5*w**4 + 0*w.\nAnswer: w**2*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1100 - 1037. Calculate the remainder when 4705\/15 - 1\/(-6)*2 is divided by k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (-280)\/(-64)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, -2082, -4.\nAnswer: -2082, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 8096, 2\/7, -2\/19, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/4 + 680799*t**2 + 2723199*t\/4.\nAnswer: -3*t*(t - 907733)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 46190.5?\nAnswer: 1339524.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188\/95, -0.4, 0.0393, 0.5, 1 in increasing order.\nAnswer: -0.4, 0.0393, 0.5, 1, 188\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -y + 195, 0*y - 4*y + 3*d = -895. Calculate the highest common factor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - (-138 + -22)) + -124\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12347236*r - 12345607*r + 24692822*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3880*a + 89246. Determine k(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:48 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 231\/31 or 6?\nAnswer: 231\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t**2 + 203*t + 12. Calculate p(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g*m**2 + 359*g*m + 104683*g - 2*m**2 wrt m?\nAnswer: -10*g*m + 359*g - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001392395 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-25 - -9 - -6)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 56607918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, g: 2, a: 6, n: 2, p: 1, x: 1}. What is prob of picking 1 p, 1 n, and 1 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 15) to base 14\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 157274 (base 11) to base 10\nAnswer: 243896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3\/(x\/(x**(-2\/35)*x))*x\/x**21*x**(1\/39) assuming x is positive.\nAnswer: x**(-23248\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30694, -61325, -91954, -122581, -153206, -183829?\n\"Answer: r**2 - 30634*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-82)\/12*(-10467)\/30. Let f = t + -2382. Calculate the common denominator of (17 - 22)\/(0 - (-8)\/19) and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3084 - 388 = -496*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*g = g - 16, -5*g - 40 = -5*u. Let q = -28 - -50. Suppose 2*t - q = -3*d + 3, 5*d - 5 = 4*t. Solve d*w - w = u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28995037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 106\/22 + 8\/44. Suppose 4*c - j*g = 15 + 10, -2*c = 2*g + 10. Solve -10 = -5*n - c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3554672 is divided by 592308?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 8*m**4 - 21*m**3 - 18*m**2.\nAnswer: -m**2*(m + 2)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/33, -5, 1\/9, -0.7 in descending order.\nAnswer: 0.5, 1\/9, 2\/33, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 916289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -37*h - 5. Let x be s(2). Let f = 82 + x. Find the third derivative of -6*b**3 + 20*b**5 - 42*b**2 + 6*b**f + 9*b**2 wrt b.\nAnswer: 1200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19994 = -4*x + s, 4*x - 24324 = -4*s - 4300. What is the smallest common multiple of x and 2000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 58 - 68. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 + 2 + -3). Suppose n = -8*p + 13*p - 30. Let b(h) = -h**2 + 7*h**2 + p*h**2 + 3*h**2. Let c(i) = -i**2. Calculate c(b(s)).\nAnswer: -225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560925 and 324000.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -6 - -3) + 8 - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*9\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/11 + 174239\/(-902044). Let i = 1\/332 - c. Put 0.1, i, -1, 0 in decreasing order.\nAnswer: i, 0.1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20959 is divided by 61.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let h(i) = -2*i - 11. Calculate the least common multiple of d and h(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.146 in 0, -15\/19, 1\/2, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1519756*y. Let g(d) = -5*d**2. Calculate g(n(i)).\nAnswer: -11548291497680*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/120 + b**3\/3 - 5*b**2. Let v(n) be the first derivative of p(n). What is the units digit of v(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 2. Let n(m) = 30*m - 21. Let d(f) = -2*n(f) + 21*s(f). Let j(l) be the second derivative of l**4\/3 + 7*l + 5. What is d(j(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (27282\/4)\/((-1)\/4*-2).\nAnswer: 3, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 37*m**2 + 7512*m - 7512*m.\nAnswer: 37*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - 4. Let v be 4\/10 + (-26)\/b. Suppose -c = -5*x - 28, 5*c + x = -0*x + 10. Solve 15 - v = c*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 12*v = -36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + 3. Calculate the greatest common divisor of 161 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guguuguaauuuuggguuu. What is prob of picking 2 a?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -3314\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 o when three letters picked without replacement from {d: 4, o: 16}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-24)\/99*2\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.127 + 0.325. Let y = -0.052 + v. What is the nearest to 2 in -0.3, y, -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2242621, 8970468, 20183543, 35881846, 56065377, 80734136, 109888123?\n\"Answer: 2242614*r**2 + 5*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74038 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 74) + (0 - (1 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12970640 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: In base 16, what is 20a + -e?\nAnswer: 1fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/19, 1\/10, 0.2, 404?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from aaakakxaaa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01619234 - 0.0162. What is d rounded to 7 decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.6367285 to one dp.\nAnswer: 110.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/117251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1 + -4)**2 + -3.\nAnswer: -50*sqrt(11) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-39) + (-4)\/12 + (-640)\/(-104).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/26 and 63\/845 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1454223325 - -5?\nAnswer: 1454223332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -6*o + 1260. What is the remainder when o is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -11) + 10 + 5 + -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1536*b - 551*b + 674*b = 101199 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = s + 8, 37 = 3*p - s + 8*s. Solve -2*d = -3*g - 4, p*d - 5*g - 65 = -60 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1837\/690 - -1\/230. Let s = 55142 + -55140. Factor -y*n - 8\/3 - 2\/3*n**s.\nAnswer: -2*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.006 and 4.\nAnswer: 3.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(1\/6)))\/(m*m\/((m**(-1\/2)*m)\/m)*m))\/(m**(1\/36))**(-10\/11) assuming m is positive.\nAnswer: m**(-523\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1357\/(-92))\/(2\/8). Let j = 76 + t. Solve j = x + 5*o + 3, -5*o = -15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 194*f**5\/17 + 190*f**4\/17 - 198*f**3\/17 - 190*f**2\/17 + 4*f\/17 = 0. What is f?\nAnswer: -1, 0, 2\/97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 524935211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(-4 + 5*sqrt(99))*-6)**2*-1.\nAnswer: -7263756 + 349920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 4. Suppose 3*d - 29 + 2 = 0. Let i = 1 - d. Let z be f(i). Calculate the highest common factor of z and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wxxwwx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cesxssscexxsxsxeex. What is prob of picking 1 s and 1 c?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 8. Let z(k) = 1. Let q(p) be the third derivative of p**4\/8 - p**3 - 2*p**2. Suppose -f + 1 = -3. Let g be q(f). Determine g*z(s) + c(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -344*v - 526. Is n(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 times 264.7?\nAnswer: 33352.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-1) + (4 + 122 - 2). Calculate the greatest common divisor of 96 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/185, 5, 3, 2\/5 in decreasing order.\nAnswer: 5, 3, 2\/5, 1\/185, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 224 = -10*j. Let p(n) = 9*n + 4. What is the lowest common multiple of p(2) and (-4)\/6 + j\/24?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 23*b - 3*b**3 - 18*b + 0*b**2 - b**2 + 5*b**2. Let r be k(4). Let m = -47 - r. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, k: 8, i: 3}. What is prob of sequence kr?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.8 - -43.85. Let c = h - 0.0226. What is c rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 11*d - 7. Let k be c(-12). Suppose -k*p + 4 = -36. Suppose 0*s = 3*s - 6. Solve 5 = t, -s*j + 3*t - 11 = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1535, 9989, 32865, 77375, 150731, 260145, 412829?\nAnswer: 615995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-12)*i\/(i*i**(-2\/57)*i) assuming i is positive.\nAnswer: i**(-682\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 12*o + 17. Let f be 2*(-4)\/((-40)\/(-65)). Let d be n(f). Suppose -4*q = 5*u - q - 24, -d*q + 24 = 4*u. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783965 is divided by 1783931?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l = -16*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 124*y - 400. Give p(1).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 - 2*b**3 - 12*b + 13*b - 1 + 12*b to the form f*b**3 + g*b + k + s*b**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + (sqrt(99)*2)\/sqrt(9))**2 + -5 + (sqrt(396) + -3)**2.\nAnswer: -48*sqrt(11) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.061 - -9.861. Let o = g + -10. Let r be ((-6)\/(-8))\/(1\/4). Which is the third biggest value? (a) r (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/105687231 and -44\/117.\nAnswer: 317061693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/9)*f)\/(f*f\/((f\/(f**29\/f))\/f)) assuming f is positive.\nAnswer: f**(-253\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + 5*h + (h - h - h)*(2 - 1 - 2))*(5*h**2 - 2*h**2 - h**2)*(2*h - h - 3*h).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (9 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlxdlddxldlxlvxd. Give prob of sequence lx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilu when three letters picked without replacement from ilu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 140*a + 76219 = 0. Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*i + 9334, 30*h - 5*i = 28*h + 3727. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766 divided by -1383?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1618403058 and 1566?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*h**6 - 66*h**3 + 9*h**2 + 21*h - 100.\nAnswer: -19680*h**3 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -8. Suppose 0 = z + 2*z - d. Solve -6 = -3*o + 5*k, 0 = z*o + o + 3*k + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 10 - 21 + 742*t**3 + 15.\nAnswer: 742*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125.95 + -126. Put -3, y, 0 in ascending order.\nAnswer: -3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5362, -2256, 4.\nAnswer: -5362, -2256, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -4, 5 in ascending order.\nAnswer: -16, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69748 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 - -148. Let x = 38\/265 - -3\/53. Which is the nearest to -1? (a) t (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6361 + -5792.4. What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 41418446?\nAnswer: 41418443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 35. Suppose -3*g + d = -g. Calculate the highest common factor of g and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9*h**2 + 2*h**2 + 6.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142\/14 - (-17)\/(-119).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c7 - 19?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**5 - 13*r**4 - 3*r**3 + 16*r**2 + 4*r = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0 + 0)*(2*f + 0*f + f) - 4*f**2 + 4*f**2 + 6*f**2 + 2*f - f**2 - f - 2*f.\nAnswer: 11*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Let v = 0.04 + -2.04. Let b = v + x. Sort 3\/2, -0.2, b in decreasing order.\nAnswer: b, 3\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let k(b) = 5*b - 11. Let h(i) = 4*i + 1. Let v(d) = 3*h(d) - k(d). Give 5*s(u) + v(u).\nAnswer: 2*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 75?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-371)\/49 - (-13 - -261*(-7)\/(-147)) - 50?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 454.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**5 - 43*o**3 + 448*o**2.\nAnswer: 180*o**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 34*z = -5835 - 2985. Let u = 29 + -21. Calculate the smallest common multiple of z and u.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -45*d**2 - 102*d - 104. Let c(u) = -7*u**2 - 17*u - 17. Let q(s) = 13*c(s) - 2*i(s). Let z = 3 - 19. What is q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 17. Let h be m(-5). Is 35 a factor of -1 - (-4 + 1) - h - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 4 = 0. Suppose -c*a = -7*a + 54. Suppose -a*p = -14*p + 12. Let x(d) = -d**3 + 2*d - 2. Calculate x(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6706.999996687 - 6707. Round s to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(576)*3*1)\/(sqrt(36)\/(sqrt(3) + sqrt(147))*-1).\nAnswer: -384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 145*q**2 + 147*q**2 + 3 - 2 + 2 - 14*q to the form u + b*q + l*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let t(d) = -d + 4*d - 4 + 2*d. Let r(s) = 9*s - 7. Let n = 0 - -4. Let p(b) = n*r(b) - 7*t(b). Calculate p(m(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 447 (b) 4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1208*m + 12099. Determine w(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2504 - 2506.594. Let k = g + 2.5. Let x = -0.594 - k. Sort x, 3, 1.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 765961 * -1064.\nAnswer: -814982504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 18. Suppose d*i = 9*i + 148. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 less than -0.12?\nAnswer: -103.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010101101100 - 10?\nAnswer: 1001010101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31297972 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275 + 150. Suppose 38*y + 12*y = -11300. Let l = p - y. Calculate the remainder when l is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (((2*sqrt(245) - sqrt(245)) + -1 - sqrt(245)) + 4 - 3*((sqrt(245) - (1 + sqrt(245)) - sqrt(245) - sqrt(245)) + 2)))**2.\nAnswer: -84*sqrt(5) + 8821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*s - 10, 4*l - 2*s + 5 = -3. Let p = 142 - 278. Let d = 539\/4 + p. Do d and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-5))\/((-4)\/200). Suppose -2*u - 4*h + 150 = h, -5*h = u - k. Let p be u\/(-3)*(-13 - -10). Calculate the greatest common divisor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24 and -133\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u - 3*u**2 - 6 - 8*u + 0*u + u**3 - 130*u as i*u**3 + r*u**2 + j + p*u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - w + 5. Let m be h(-3). What is the greatest common factor of 56 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from hez.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 2, c: 5, y: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + t + 4*t + 33 = 0, 4*q = -3*t + 1. Does 25 divide 2\/q*3750\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 2*v**2 - v + 9. Let l be z(-3). Solve -14 = -2*u - l*d, -18 + 0 = -2*u - 4*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31095 = 16*y - 22409. List the prime factors of y.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*k = k - 38, 0 = -s - 2*k + 39. Let z = s + -15. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 61\/10*c**6 - c**2 - 5*c - 1 + 0*c**4 + 0*c**5 + 3\/2*c**3. Find the second derivative of v(b) wrt b.\nAnswer: 2196*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196975.\nAnswer: 5, 13, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -4 - -7 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(468) + -4 + ((sqrt(468) + -3 + sqrt(468))*6)**2 + 1 + (sqrt(468) - (sqrt(468) + 0 + 5)) + 0 + sqrt(468) + sqrt(468) + -2.\nAnswer: -2574*sqrt(13) + 67705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -y - 54, -4*h + 52 = -14*y + 12*y. Calculate the remainder when 40 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 575, 565, 555, 545, 535?\n\"Answer: -10*m + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**3 - 3*p - 19.\nAnswer: 3*p**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from acocareet?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-18))\/(((-1)\/(-1))\/((-135)\/(-54)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4037 rounded to 1 decimal place?\nAnswer: 27.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**5 + 4*t**5 - t**5 + (10*t**2 - 5*t**2 + 7*t**2)*(3*t**3 - 3*t**3 + 2*t**3).\nAnswer: 21*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4861371 and 33.\nAnswer: 53475081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n**3 - 7*n**2 - 7*n. Let i = -5829 - -5830. Let z(g) = g**3 - g**2 - g. Give i*b(a) - 6*z(a).\nAnswer: 5*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20173919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100616 equal to 6942446\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:41 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130760686, -261521368, -392282050, -523042732?\nAnswer: -653803414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13*c - 56 = 0. Calculate the remainder when -2*(12\/3 + -9) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1865678784 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288*a*j**2 + 10*a*j - 8*j wrt j.\nAnswer: 576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**1*t))\/t*t)**(21\/5)*t**(-2\/5)\/t**1 assuming t is positive.\nAnswer: t**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 20 + 468. What are the prime factors of o?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2.8, -4, -2\/9, 5\/6 in decreasing order.\nAnswer: 2.8, 5\/6, -2\/9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 1. Let z be g(2). Suppose -z*v + 5*h - 2*h = -57, 0 = 4*v + 5*h - 31. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:42 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22730466 (base 8) to base 2\nAnswer: 10010111011000100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f**2 + f - 2. Let x be q(2). Let o(m) = m - 2. Let r(g) = -g**2 - 3. Let k(p) = x*o(p) - 3*r(p). Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**3\/27 - 8*b**2\/9 - 32*b\/9 - 3. Suppose i(d) = 0. Calculate d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 1. Let f(y) = 3*y**2 + 8*y + 6. Calculate f(p) + 6*z(p).\nAnswer: 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*b + 7*c - 6, 5*c = -4*b + 13. Let u be 2850\/14 - (7 - b). Let q = -204 + u. What is the common denominator of q and 13\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - l - 34, 0*k - 5*k - 2*l + 37 = 0. Let x = 42 + -29. Let m = x - k. Solve m - 9 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 142. Calculate the highest common divisor of k and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 516512.8 grams?\nAnswer: 516512800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 + -3. What is the highest common factor of 40 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**6\/3 + 3*b**4\/4 - 101*b**3\/2 - b + 23. Find the second derivative of l(v) wrt v.\nAnswer: -120*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + -66 + 40 + -7 + 59.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25*t**(-8\/7)*t*t*t)\/(t**(-1\/11)*t*t)**(-5) assuming t is positive.\nAnswer: t**(2803\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 15 = 0, -p - 5*t = 4*p - 259 + 233 + 126 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250369*g**3 - 546174*g**3 + 295809*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f469 - -80c?\nAnswer: -3ec5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 12. Let p be q(-8). Let f be (0\/3)\/((-4)\/(-2)). Suppose -16 = -p*l, -w + 5*l - 6 + f = 0. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -6. What is the third biggest value in -15, z, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -10)*(-6)\/(-14). Let r be (-46)\/276 - (-4 - (3 + 246\/(-36))). Find n, given that -12\/7*n**4 - 2\/7*n**5 + 12\/7*n**2 + r - 16\/7*n**3 + b*n = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 5, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 104 + 104 = 0. Let g be -18*((-2)\/8 - (-18)\/w). Let v = 32 + -30. Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*d + 5, -2*c + d + 0 = 5. Let s(u) = -2*u + 3. Give s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i. Let q = 5 + i. Suppose 0 = 2*z - 2, -4*z - 39 = -q*f + 27. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)*p**(-4\/3))\/(((p\/p**(-2\/5))\/p)\/p)**(3\/10) assuming p is positive.\nAnswer: p**(-2423\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1) - (-17 + 24) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**5 - 3*m**4 + 3*m**3 + 13*m**2 + 4*m - 2. Let c(z) = -4*z**5 + 9*z**4 - 9*z**3 - 40*z**2 - 11*z + 7. Let u(p) = 7*b(p) + 2*c(p). Factor u(q).\nAnswer: -q*(q - 2)*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 45?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbbmbbwbbbbbbmwbw. Give prob of picking 1 m and 1 w.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 6, k: 1, z: 11}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-1)\/(-9))\/(11\/165*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 + f**2)*(2 - 1 - 2)*(-9 + 9 + 8*f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -14.9\nAnswer: -29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106105 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*b**2 + 3 + 3*b**2)*(-7*b + 720 - 720).\nAnswer: -7*b**3 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5260999um in meters?\nAnswer: 0.0000005260999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, 1738, -280, 2.\nAnswer: -280, -3, 0, 2, 5, 1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196667 = -209*p + 16*p. What is the smallest value in 2\/7, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(22\/22935*1). Let n = t + 720. What is the remainder when 143 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 5*n - 3*n + 672*n**2 - 675*n**2 to the form t*n**2 + b + m*n**3 + a*n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -43*v + 66. Suppose 2*r - 12 = 4*f, -2*f = 4*r - r - 26. What is the smallest common multiple of v and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 12. Let r be q(6). Let a be ((-9)\/3)\/(r\/(-32)). Are a and -18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/36 and -43\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 1. Let t be l(1). Let r(k) = k**3 + 8*k**2 + 6*k - 2. Let a be r(-7). Suppose 2*i = 4*o - t*i - 20, 0 = -5*i - a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1344 = -4*u - 4*u. Suppose 5*i - 40 = 4*o, 3*i - 22 = 2*o + 2. Calculate the greatest common factor of u and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 16 = -4*f, 8 = 105*t - 108*t - 2*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 3\/13, -14, 10, 2, 6, -7?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -54. Solve 2*p + 0*p - 8 = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1011422233241?\nAnswer: 1011422233241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*d - 3848 = -178*d for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257485618*w**5 - 403789496*w**2.\nAnswer: -15449137080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = 20. Suppose h*q - 8 + 0 = 0. Suppose 0*f = -q*f + 8. What is the remainder when 6 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 39. Let i = 19\/9 + -17\/9. Which is the closest to 0? (a) i (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5987.3 and -3.\nAnswer: -5990.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, 5, -126477\/22 in increasing order.\nAnswer: -126477\/22, -5, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1374.43013 to the nearest 10.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1815858 - -0.8.\nAnswer: 0.9815858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 48*x**2 + x. Suppose 0 = -5*u + 4*p - 322 - 570, -3*u = 2*p + 522. Let h = u + 215. Calculate the remainder when a(2) is divided by h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 3*z - z + (4*z + z + 0*z)*(-6 + 1 + 3).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 20*w + 60*w = 984. Let p(j) be the first derivative of -j**3\/3 + 6*j**2 + 4*j - 1. What is p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g + 4. Let i be (-3)\/(-1 - g) - -3. Solve 5*x + i*s - 5 = -s, -2*x - 4 = 4*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 3. Let d be a(-8). Let o(w) = -w**2 - 6*w - 1. Let m be o(d). Suppose 0*p + 20 = -m*p, 59 = 2*l - 3*p. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 + -56814.96?\nAnswer: -58046.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 1, b: 2, q: 1, m: 2}. Give prob of sequence sdb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 4. Let b(l) = -3*l - 7. Let w(y) = -4*b(y) - 7*n(y). Let d(q) be the second derivative of -q**4\/4 + q. Calculate w(d(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 563*n**2. Let u(b) = 4891*b + 1. Determine u(f(i)).\nAnswer: 2753633*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - -7 - 12) + 0 + -11.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -5, -22, 0.3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/19847 - -218365\/476328. Let z(w) be the third derivative of 0*w - 1\/3*w**5 - h*w**4 + 26*w**2 + 0*w**3 + 0. Find the second derivative of z(v) wrt v.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91075869 a multiple of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 108, 105, 102, 99, 96?\n\"Answer: -3*t + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/314648?\nAnswer: -3\/314648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1402, 2806, 4210, 5614?\n\"Answer: 1404*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -19. Suppose 4*s = -5*o - 10, 0 = -5*o + 6*s - 2*s - 10. Let j = o + d. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a. Let m be 1239\/105 + 2\/10. Let g(x) = 9*x - m*x + 8*x. Determine k(g(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -584 + 588. What is the smallest common multiple of d and 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/365 in 1, 0, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -23 - 7 - d**2 + 8 - 4*d**2 - 11*d. Let m be h(-7). Let w = 63 - m. What is the greatest common divisor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0, 5\/757717.\nAnswer: 0, 5\/757717, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 86, 103, 86, 23, -98, -289?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11684136*p**2 - 382*p - 7676.\nAnswer: -23368272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -6 in ascending order.\nAnswer: -6, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17))**2*4 + sqrt(17) + sqrt(153)\/(1*sqrt(9) + sqrt(9)).\nAnswer: 19*sqrt(17)\/2 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2732, 5, -510?\nAnswer: -2732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(63\/(-84))\/(6\/4). Let y(w) = 1 - 5*w**i + 3*w**2 - 2*w**2 + 5*w**2. Suppose -q = -0*q - 4. Let l(c) = -6*c**2 - c. Calculate q*y(t) + l(t).\nAnswer: -2*t**2 - t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6*q - 9*q + 4)*(-q**3 + 3*q**3 + q**3).\nAnswer: -9*q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48169 and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -350\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 22*i - 2. Let n be s(5). Suppose r + n*r = 6538. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10187686 and -56.04.\nAnswer: -10187742.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -147, -1048, -3475, -8190, -15955, -27532, -43683, -65170?\n\"Answer: -127*a**3 - a**2 - 9*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5939673\/152 + 39077. Let k = r - 3\/38. What is the closest to -4 in 1, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 49*o**2 - 92*o - 68. Let p be g(47). Suppose 12 = r - 4*s, s = -5*r - 8 + p. Solve -7 = 3*z - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22182 greater than or equal to -22183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let j be (-37 - -39) + (-4)\/42 + 3596\/(-609). Put -10, 3, h, j in decreasing order.\nAnswer: 3, h, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 39 + c + 3*c**3 + 5 to l*c**3 + v*c**2 + k + o*c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1309*s**5 - 73*s - 1?\nAnswer: -26180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2a4d8 (base 15) to base 13\nAnswer: 49c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2)\/(1\/3). Let c(h) = 0*h - 3 + h - z*h. Let b be c(-5). What is the greatest common factor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 15 = 7*s. Let q = s + 652. Suppose 3*h = 5*p - q, 2*h + 270 = 2*p + 4*h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/7)\/v))\/v**5)\/((v\/((v**(-12)\/v)\/v))\/(v\/(v\/(v\/(v**(-9\/2)\/v*v)*v*v))*v)) assuming v is positive.\nAnswer: v**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187557666.\nAnswer: 2, 23, 25816471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let q be v\/(-10) + 2019\/(-1265). Let x = q - -21\/11. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(-5)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - -95.\nAnswer: 95.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1 - 0) - -7. Suppose a = 3*t - t. Suppose -t*r - 28 = 3*k - 8*k, 4*r = 4*k - 24. Let s(l) = -l**3 + 6*l**2 - 6*l. Determine s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11758*m + 23536. Calculate q(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 20*f**2 - 86*f - 19. Determine k(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 26 - (31 + (2 - 6) - -5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21553\/5 + 4311. Put -4, -0.3, 0.07, -13, l in descending order.\nAnswer: l, 0.07, -0.3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/60 + l**4\/3 + l**3\/6 + 24*l**2. Let x(g) be the first derivative of i(g). Calculate x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -23*p + 15563 - p**2 - 31108 + 15580. What is b(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 5, s: 3, y: 1, b: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -17*m**2 + 24*m + 2749. Let c(q) = 7*q**2 - 10*q - 1100. Determine 12*c(t) + 5*r(t).\nAnswer: -t**2 + 545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 259*n + 1297. Let h be u(-5). Let m = 0.007 - 0.05. Which is the closest to h? (a) -1 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 8*a - 2*a + 25*a + a**3 - 7*a - 2*a**2 - 243 to the form m + j*a**2 + n*a + v*a**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -262, -608, -1082, -1678, -2390?\n\"Answer: y**3 - 73*y**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -65 + 14 + (0 - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 10 + 4 + 4 - 2*q**2 - q**2 as k*q**2 + r + d*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 5*h**3\/6 + 33*h**2\/2 + 164*h. Let w be v(-5). Solve w*r = 2*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -212222?\nAnswer: -220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3438, 0, 1, 5, -88, -8 in descending order.\nAnswer: 3438, 5, 1, 0, -4, -8, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let g = -180922 - -180961. What is the closest to j in g, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g + 40. Let k be (-2)\/4*(9 - -3). Let a = k - g. Solve a*i = 1 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2*y**4 + y**4 + 2*y**4) - 4*y**4 + 3*y**4 - 3*y**4 + (0 + 0 + 2*y**2)*(y**2 + y - y) + (-3*y**2 + 7 - 7)*(4*y + 2*y**2 - 4*y).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807352437*s + 3*s**2 - 1614704885*s + 807352448*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 1 + 3. Let r(j) = 5*j**2 - j - 1. Let u be r(s). Solve u*w - 25 = -10, -5*c = 2*w - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4584868 divided by -148\nAnswer: 1146217\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 - 1285*w**2 + 6*w - 972?\nAnswer: -24*w**2 - 2570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(3564))**2 + sqrt(220)\/(-4*2*sqrt(5)) + -2.\nAnswer: -sqrt(11)\/4 + 3559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -88*x + 1050. What is t(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, x: 1, i: 2}. Give prob of picking 1 x and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -19. Let r be (5\/(q\/(-6)))\/(-13). Let v(w) = w - 5. Let a be v(5). What is the closest to -2\/7 in r, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 9 + -13 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 16887?\nAnswer: 16887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = -32. Let q = s + -12. Is 21 a factor of q\/(0 - -4) - -22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100985179180591 - 2.\nAnswer: -100985179180593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + 412025032?\nAnswer: 412024551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4\/9, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8820, 17624, 26428?\n\"Answer: 8804*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*s + 482*s - 9 = q, -q = -3*s + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2249*m - 13166. Let p be t(6). Calculate the greatest common divisor of 488 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -21. Let i(l) = l**3 + 7*l**2 - l - 20. What is the remainder when 128 is divided by i(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682979?\nAnswer: 3, 23, 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32065 is divided by 7957?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/49456186 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(((-2025)\/72*2)\/3).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*j - 15, 9 = -2*d - d - 3*j. Let a be (-1)\/((-2)\/24 - d). Let p = a + -7. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19190678*r**3 + 25361920*r - 2?\nAnswer: 115144068*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/16, 5, 2?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 18. Let c(n) = n**3 - 8*n**2 + 8*n - 7. Let i be c(5). Let o = 83 + i. Calculate the remainder when o is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -g - 218, 5*c + 226 = -2*g + g. Let u = g + 213. Let l(b) = -b. Let h(t) be the first derivative of -t**3\/3 + 2*t**2 + 1. Give u*l(o) - h(o).\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140\/3 - 45. Let h = 13 - 13. Let f = 0.2 - h. Sort 0.1, f, t, -3 in ascending order.\nAnswer: -3, 0.1, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300))**2 + (sqrt(1573)*4)**2 + ((sqrt(39)*-4)\/sqrt(3) + sqrt(117)\/sqrt(9)*6)**2.\nAnswer: 26520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**17*(g**(-2\/5))**(6\/11)*((g*g*g**5)\/(((g**3\/g)\/g*g)\/g))**(-2) assuming g is positive.\nAnswer: g**(-1607\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*5\/(-20) + 8 + 1. Solve -i + 4 = -5*s - 3, 2*s = 3*i - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/3))**2*s*s*s**(5\/4)\/s*s*s**(-2\/17)*((s\/(s**(-2)*s))\/(s*s**(3\/2)))**(20\/7) assuming s is positive.\nAnswer: s**(6241\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 276 = -5*m. Suppose 63*y - m*y + 12 = 0. Solve 0 = 4*j + y*q, 4*q = j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 18 - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**6\/180 - s**5\/120 - s**3 + 1. Let i(b) be the third derivative of a(b). What is the second derivative of i(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 170 - 22 = 0. List the prime factors of ((-2)\/h)\/(-3*8\/30192).\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*z - 6*r, -3*z + 56 - 41 = -3*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, w: 2, o: 3, z: 2}. Give prob of sequence zz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284 divided by -4307.\nAnswer: 284\/4307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30.17275 decades?\nAnswer: 3620.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:10 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -999 + 1001. Which is greater: 0.0636 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b8 - 114635?\nAnswer: -11456c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 8368950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-15)*d)**(-3\/14)*(d**0)**(-45))**(-29) assuming d is positive.\nAnswer: d**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -64. Let r = -18 - a. Suppose 5 = 3*b - r. Solve -b*x - 7 = -2*i + 13, -3*i + 22 = -4*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjk when three letters picked without replacement from {z: 2, k: 2, j: 1, q: 1, a: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 2 + d**2 - 2 + 48*d - 47*d to r + f*d**3 + k*d**2 + q*d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**4\/12 + c**3\/6 - c**2 - 4*c. Let t(a) = a - 24. Let b be t(24). Give y(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - x = -0*x + 52, -k = 5*x. Let c = k + -6. Is 13 a factor of 75\/4 + 1\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6617334 to the nearest integer?\nAnswer: 2572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 3*n - 15. Calculate the remainder when v(-8) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97191.13 decades?\nAnswer: 11662935.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 24\/(-15)*85\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 612611*u + 116. Let o be i(16). Let s = -3851892 + o. What is s rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:01 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*f - 226*f + 116*f to the form t*f + b and give t.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/176 and -5\/576.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5*(12\/(-15) + 169136\/(-310))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/3 + 11*m**2 + 2. Let o(r) = -2*r**2. Give s(o(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1160? (a) -0.28 (b) -0.36 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23485 is divided by 7827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24492 divided by -8164.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**8\/6720 - u**7\/1680 + u**5\/30 + 7*u**2. Let r(o) be the third derivative of x(o). Factor r(p).\nAnswer: -3*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16210 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*j + 922 = 36*j - 790 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03474 + -5.\nAnswer: -4.96526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/125 and 17\/35.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**9\/5040 - d**5\/20 - d**4\/6 - 3*d**2. Let t(n) be the second derivative of j(n). Differentiate t(i) wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:14 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.37 minus -0.5?\nAnswer: 397.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 3*o + 4. Let k(c) = c**2 - 1. Suppose 3*j - 23 = -i, 0 = 2*i + 70*j - 67*j - 28. Give i*k(v) + q(v).\nAnswer: v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 - 4*n**2)*((0*n + 0*n - 2*n)*(0*n - 3*n + 5*n) - n**2 - 5*n**2 + 5*n**2 + 153).\nAnswer: 20*n**4 - 612*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-8))\/((-1)\/(-4)). Let n = 23\/2 + p. Find the common denominator of 63\/5 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 25 + 25. Suppose 0 = -4*c - d + 81, 6*d - d - i = -c. Let w = 3135 - 3133. Solve -2*q = k + w*q + 8, -2*k + 4*q = -c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5300 - -4?\nAnswer: -52b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/60 - p**4\/6 - p**3\/3 - 7*p**2\/2 - 89*p. Let t(r) be the first derivative of k(r). What is t(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774758233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 766891202 * -0.4.\nAnswer: -306756480.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/32*3\/(-15).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + y - 1)*(838 + 92 - 435 + 823) in the form u*y + t and give t.\nAnswer: -3954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 222712*h**3 - 4*h - 4192*h**3 - 4*h**2 + h**2 - 1. Let s be (-6)\/(-1) + 1*-3. Let i be p(s). What is i rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3175 <= -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + -61 - -39)*38\/(-4028)?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1836 and 59\/2907.\nAnswer: 34884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -4 - (4 - 8)) + 37.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 + -7 + 0 + 14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/20 - 51*v**5\/40 - 69*v**4\/16 - 7*v**3\/2 + 442*v**2 - v. Factor p(k).\nAnswer: 3*(k - 14)*(k + 1)*(4*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3))**(-2\/15)\/(n**6*n**(-2\/15)))\/(n**(-3)\/n**(-1))**11 assuming n is positive.\nAnswer: n**(724\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 40, -60, -60\/13 in ascending order.\nAnswer: -60, -60\/13, -3, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 10*f - 1. Calculate u(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q - k + 50, 5*k - 61 = -4*q. Suppose 18*z = 13*z - 4*w + 44, 3*z + 2*w = 24. Sort -3, q, z.\nAnswer: -3, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 4*x + 6*x)*(-3 + 4 + 1)*(4*x**2 + 4*x**2 - 11*x**2)*((1 - 4 + 5)*(-1 + 0 + 2) - 2 + 1 + 4 - 2 - 1 + 2 - 4 + 5 - 3).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3454307\/7396596 + -22\/22829. Find the common denominator of z and -85\/18.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -11867*y**2 - 17*y - 13. Let i be z(-6). Let r = -281968 - i. Let w = 486155 - r. What is w rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5684 rounded to one decimal place?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 332204 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 = -2*n, -2*n - r - 11 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 3 + 0*o - 2. Let v be (12\/14)\/((-2)\/14). Let s(n) = -5 + 8 - 1. What is v*s(u) - 2*q(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282879558?\nAnswer: 2, 3, 13, 17, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*g + 40\/7*g**2 + 4\/7*g**3.\nAnswer: 4*g**2*(g + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4 + ((sqrt(612)*-2 - sqrt(612)) + 0)*-3)*-5)**2.\nAnswer: 10260*sqrt(17) + 1239661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/382 and -145\/12.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/66*(-23697)\/10532?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u + 25. Let t(p) = -13*p + 26. Let q(h) = 5*m(h) - 4*t(h). Let y be q(6). Let z = y - -71. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -45*c**3 + 8*c + 50. Let n(d) = 30*d**3 - 5*d - 33. Let i(p) = 8*n(p) + 5*u(p). What is the derivative of i(l) wrt l?\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 14176 = -13816 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 2601905334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-6)*(-8 - -6). Suppose 2*u - 163 = -3*f, k*f + u - 279 = 5*u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 49. Suppose r*a + 189 = 5*a. Suppose 7*h - 4*h - a = 0. Calculate the greatest common factor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316 = 648*a + 651*a + 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*c - 24 - 74*c + 23*c - 13 + 27*c to the form r*c + o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -4. Let v(f) be the second derivative of f**4\/6 - 3*f**3\/2 - 7*f**2\/2 - 5*f - 6. What is the units digit of v(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 212 = 100*x + 19*x. Solve -9 = -x*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2, t = 81*h - 85*h - 2. Which is the closest to t? (a) 5 (b) -4 (c) 15.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.126, 2, -849 in descending order.\nAnswer: 2, -0.126, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**3 + 59*y + 4*y - 197 + 33*y**3 + 2*y**4 - 185*y**2 + 278*y. Let t(f) = -f**4 + f**2 - f + 1. Let r(n) = -o(n) - 5*t(n). Factor r(b).\nAnswer: 3*(b - 4)**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3*d**2 + 4*c**3*d*p**2 + 5218*c**3*p**3 + 4*c**3*p + 2*c**3 - 364*c*d*p + 55*d**2*p**3 wrt p.\nAnswer: 31308*c**3 + 330*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:31 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 7*d**2 - d**2 - 3*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -535553 divided by -7543\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*h - 439, -15*s + 1798 = -11*s + h. Does 42 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 6160?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 23*j - 54. Calculate c(-16).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 450 - -20?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/175*7)\/(-8*(-18)\/(-360)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 1. Let j(f) = f**2 + 27*f + 4. Let a be j(-27). Let i be b(a). Let h = 0.3 - 3.3. What is the closest to -2\/7 in i, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 25 + 724*j + 20 as h*j + x and give h.\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -28 - ((-4 - -5) + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 5*o = 1667840. Let a = 4 + -1. Suppose 0 = a*n - 19*n + o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -11213021223?\nAnswer: 11213021230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 224*f + 5. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 332 = -4*d. Suppose 4*i - 415 = -5*x, 3*x + x - 3*i - d = 0. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 12. Let h(l) = -l**3 + 8*l**2 - 9*l + 13. Let t be ((-7)\/4)\/(6\/(-24)). Let c be h(t). Are s and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.60549693 rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5116680 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: Suppose 0 = 132*n - 127*n - 5215. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229 and 9566933.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 4.92. Let y = 8056\/7 - 1152. Sort u, y, -3 in descending order.\nAnswer: y, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 25*w**2 + 24*w - 52. Let k be r(-26). Solve k = -h - 5*x - 31 + 5, -h = -4*x - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6181 times -1220\nAnswer: 7540820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106142 (base 8) to base 2.\nAnswer: 1000110001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 80*f - 152. Calculate c(0).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6421 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3360\/(-144)*258\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 3*x**2 - 5*x + 5*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81732, 81786, 81840, 81894, 81948?\nAnswer: 82002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 5:15 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17.16 and -166.632355647.\nAnswer: -149.472355647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568966 divided by -9.\nAnswer: -568966\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 89?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m + 552 = -167*m. Calculate the highest common factor of 184 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/37950 and -13\/115.\nAnswer: 37950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgsgsg. Give prob of picking 1 g and 3 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 98*d**2 + 98*d**2 + 2 + 111*d - d**3 in the form c*d + v + w*d**2 + n*d**4 + j*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 - 12 = 0. Suppose -2 = 2*s - r - 5, 3*s + 23 = -4*r. Let x be 5 + (-1 - s - 2). Solve -x*o + h = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6 - 0) + 7\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/60075 and 169\/294.\nAnswer: 5887350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 7:25 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4.4. Let o = -0.05 - -0.39. Let r = 0.16 + o. Which is the second smallest value? (a) n (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 24*i - 3 = 0. Let z(g) = g**3 + 5*g**2 - 8*g - 1. Calculate the remainder when z(-6) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 2. Let g be q(-2). Let z(j) = j**2 + 7*j - 4. Let t be z(g). Solve 2 + 22 = 4*x - t*v, 12 = -3*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5 - 88*i**4 + 628*i**3 - 1648*i**2 + 448*i + 2816 = 0. Calculate i.\nAnswer: -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7.88. Let r = -2557194.28000013 - -2557194.4. Let u = r - n. Round u to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13135662*y**2 - 975*y - 1851?\nAnswer: 26271324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/10 - -3)*5. Suppose 238 = 14*b - o*b. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 8:55 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 12, -2\/9, 0.34, -0.034?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 69\/30 - (-1)\/5. Which is the nearest to 0.5? (a) -4\/7 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 - 5*y**3 + 8*y**2 + 12*y = 0. What is y?\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 67*k + 1142. Is p(12) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -792*n - 452. Let f be i(-3). What is the greatest common factor of 91 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1021800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q - 9. Let f(d) = d - 2. Let v(s) = -2*c(s) + 9*f(s). Let x(w) be the first derivative of -2*w**3\/3 - 1. Give v(x(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (0 + -5) - (-131)\/(-1). Let w = -72 - g. Let j = 56 - w. Put -2, 4, j, -1 in decreasing order.\nAnswer: 4, j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t - 153. Let x = 91 + t. What is the greatest common factor of x and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 19*h. Let x(j) = -600*j**2. Determine x(f(y)).\nAnswer: -216600*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssssswssswsss. Give prob of sequence ws.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/6 - 1\/(-2). Let m = -124\/3 - -43. Let h = m - x. What is the nearest to 0.1 in -0.3, h, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 520 + -519.6. Let v be 2*(-2)\/7 - -1. What is the closest to d in 1\/22, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 37. Determine g(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22\/7, -0.1, 3\/7366?\nAnswer: 3\/7366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h + 249. Let w be n(9). What is the greatest common factor of 804 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -b - l, 2*b - 20 = 5*l. Suppose 5*x + 4*r - 23 = 2*r, 14 = 2*x + 2*r. Calculate the remainder when 1 - -16 - (x + -3) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1037, 2010, 2983?\nAnswer: 3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253851 by -84617.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.536259 months to years.\nAnswer: 0.79468825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -f. Let x be (4 + 0)*(-3)\/f. Find the second derivative of 5*y + 0*y**x + 0*y**2 + 2*y**4 - y wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 14. Let p = j + -1. Let w(z) = -2*z**2 - 53*z + 646. What is the remainder when p is divided by w(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 122?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101\/(-505))\/(2\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1 - 6*i**2 + 91*i + 5 + 39 - 5 - 14. Let c be w(15). What is the greatest common factor of 663 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2826 - -3042. Calculate the least common multiple of g and 6.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1457, -5827, -13111, -23309, -36421, -52447, -71387?\n\"Answer: -1457*k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201*j**4*r**3 + 148*j*r**3 - 120695*r**3 wrt j?\nAnswer: -804*j**3*r**3 + 148*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169885 is divided by 42466.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9390 is divided by 100.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33121577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*n*v**4 + n*v**3 + 2*n*v**2 + 36*n*v + 91*n - 1316*v**4 - 6*v**3 + 2*v**2 - 3 wrt v?\nAnswer: 456*n*v + 6*n - 31584*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 98864*n - 98860.\nAnswer: -4*(n - 24715)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 8*r + 6. Let l be f(-8). Let a(t) = t - 4. Let c be a(l). Solve -c*j - k + 1 = -8, 4*j = k + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. What is the first derivative of 0*r**q + 4*r**3 + 0 + 2*r**3 - 4 wrt r?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 5316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a - 2. Let f(z) = 5*z + 90*z**3 - 1 - 164*z**3 + 78*z**3 - 7*z. Let b(i) = -9*i**3 + 5*i + 1. What is a*b(n) + 5*f(n)?\nAnswer: 2*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((9 - ((13 - 1) + 27)) + -5).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6*o**3 + 26*o**2\/5 + 4*o\/5 = 0.\nAnswer: -2\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 12:38 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(-12)*(-201)\/737?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -60, -118, -190, -270, -352?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose n = -0*y - 5*y - 5. Let u be (-2)\/(-6) - (-2)\/(342\/(-75)). Are y and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p + 9. Let f be (-2)\/1 + 30\/(-2). Let s(k) = -5*k + 3. Suppose -7*c - 86 = -128. Determine c*n(l) + f*s(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 - u**3 - 14 - 6 wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163210 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 128*s - 310. Give q(3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(208) - (sqrt(208) - -3*((sqrt(208) - (sqrt(208) + sqrt(208)*-1 + sqrt(208))) + sqrt(208))))*-3.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = d + 3*d - 98, -4*d + 5*k = -107. Calculate the least common multiple of 128 and ((-3)\/1)\/(1 - d\/20).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31296656 to the power of 1\/2, to the nearest integer?\nAnswer: 5594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*k - 2*p, 0 = -4*k - 4*p + 3 - 23. Let x(l) = l + 8. Let z be x(k). Suppose 4*b - 11 = 3*q, -z*q + 15 = -5*q. Which is greater: -2\/9 or b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:28 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(2584\/24))\/((-3)\/(-1))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1730517l to millilitres.\nAnswer: 173.0517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10939570*m**4 + m**2 + 2*m + 8455?\nAnswer: 262549680*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlee when four letters picked without replacement from elheqqqeeeqell?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 150\/3113 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 5*f + 4. Let x be y(-5). Suppose x*h - 5 = -1. Which is bigger: h or 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-60) - 608\/(-10) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42832 or 42834?\nAnswer: 42834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 + 304 + p**3 - 153.\nAnswer: p**3 + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 26 = -10*z. Let l = z - -26. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 3*g**4 - 3*g**4)*(0*g + g - 2*g) - 2*g**2 + 2*g**2 + 2*g**5 + (-1 - 1 + 20)*(2*g**3 - 2*g**3 - 2*g**5).\nAnswer: -32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l - 36. Let t be p(-5). Let h(i) = i - 3. Determine h(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q - 236. Let f(h) = -5*h + 124. Determine 5*f(z) + 3*m(z).\nAnswer: 2*z - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v - 21. List the prime factors of i(17).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmqbkwkw. Give prob of sequence mcwq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 262103027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.6519 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let r(t) = 10671*t + 14938*t - 22198*t. Give r(v(z)).\nAnswer: 6822*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 43*b**2 - 240*b - 279. Calculate v(-35).\nAnswer: -1679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 635 - 857 = 0. Let y be (-45)\/(-1)*16\/3. Let n = m - y. What are the prime factors of n?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*a - 2*w + 430, -5*a + 1083*w - 541*w - 36 = 539*w for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.41874372 rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1680 + 1683. Calculate the remainder when 241 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1024 and 2304.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 2*u**3 + 3*u**3 + (-4 - 1 + 3)*(0*u**3 + u**3 + u**3) - 2*u**3 - 5*u**3 + 0*u**3 + 2*u**3 - u**3 + 0*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 275 + 47 = 0. Let r = 112 - w. What is the highest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)\/sqrt(3))\/(sqrt(9)\/(-2*sqrt(3) - sqrt(3))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-196)*14)\/(38\/399).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 809*u**7\/42 + u**3\/2 + 59*u**2 + 1577*u. Find the second derivative of n(m) wrt m.\nAnswer: 16180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 7\/3*c**3 - 1\/4*c**4 + 8*c - 5\/2*c**2 + 99. Give g(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 1. Let s = 5 - x. Suppose -n + 4 = -s*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57\/(-5)*675\/(-81) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 165272597.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -5, -115, -4, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47480179 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68393362397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94341868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 614218\/7 + -87745. Factor 5\/7*m - 5\/7*m**3 + 1\/7*m**4 + t*m**2 - 4\/7.\nAnswer: (m - 4)*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*b + 1734000, -2*i = b + 52846 + 525154. Round b to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 3*g + 2. Let h be 2\/(-2 - -4) - 4. Give q(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*r + 2)*(1 + 2*r - 1) + 358*r**2 - 183611*r + 183611*r + 69 to the form j*r**2 + n*r + a and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:02 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.2 * -10747.5.\nAnswer: -206352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 - 4*g - 2. Let q be o(-3). Let m = 29 + q. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, p: 5, m: 2, e: 3, d: 1}. What is prob of picking 1 m, 1 e, and 1 p?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*n**4 + n + 684?\nAnswer: -32*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-6)\/(-300)). Let c = i + -16. Let m be 2437500*c\/30*36. Round m to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 23. Let w be 0\/(3 - (-2 - -4)). Let c be t(w). Let x = 19 - c. Let a(y) = y**3 + 4*y**2 - 2*y - 6. Give a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3465850 to the nearest integer?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1075141\nAnswer: -107514.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.158743 to the nearest integer.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a hour in seconds?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/20 and -53\/277526.\nAnswer: 2775260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4166 + 687392\/165. Let x(j) be the third derivative of 0*j**3 + 1\/33*j**4 + u*j**5 - 13\/220*j**6 + 0 - j**2 + 12\/385*j**7 + 0*j. Factor x(q).\nAnswer: 2*q*(3*q - 2)**2*(4*q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297 + 297. Suppose 5 = -3*f - 4. Let r be (4\/f)\/(-26*4\/8). Is r at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 7*i - 3*i. Let p(o) = o**2 + 6*o - 4. What is p(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/56 and -5\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.02 (c) -0.14 (d) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 5*a**8\/24 + a**5\/60 - 13*a**3\/6 + 21*a**2 - 3. What is the third derivative of i(n) wrt n?\nAnswer: 4200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + 1 + (12 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -15. Let l = j + -80. Suppose -5*d + 7 + l = 0. Solve 5 = m + 2*v, 0*m = -2*m + 5*v - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 + 148044\nAnswer: 148365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-23)*c*c**0*(c\/c**(-1\/12))\/((c\/c**8)\/c) assuming c is positive.\nAnswer: c**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (81 - 1408 - 3961)*(0*k - 2*k - 3*k) as l + c*k and give c.\nAnswer: 26440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -23*b**2 + 62*b - 84. Let s(t) = -6*t**2 + 14*t - 21. Determine 2*r(x) - 9*s(x).\nAnswer: 8*x**2 - 2*x + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*j**2 - 17*j**2 + 357*j - 6*j.\nAnswer: 93*j**2 + 351*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -319 - 1160 - 821 - 2*t**2 to the form x*t**2 + q*t + m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4194 and 940519179?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2784313\/12 - -705149\/3. Let y = 3035 - b. Calculate the common denominator of y and (414\/42)\/((-32)\/(-14)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:07 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*v + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -34*i + 2. Let r be s(-2). Suppose -5*p - 2*l = -r, 0 = 5*p - 3*l + 15 - 60. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 37*s**3 - 4*s**2 + 4*s + 4. Suppose -5*c + 897*b - 896*b - 10 = 0, 16 = -2*c - 2*b. Let o(x) = -38*x**3 + 3*x**2 - 3*x - 3. What is c*q(g) - 4*o(g)?\nAnswer: 41*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 - 3*v - 1. Let w be p(-2). Let m be w\/2 + 33\/6. Find the third derivative of k**m + 3*k**2 - 5*k**2 + k**6 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1679? (a) 0.6 (b) 2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63496456.\nAnswer: 2, 7937057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6*4\/(-112)*8\/6\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*u = 4*u - 29, 2*f + 5*u - 15 = 0. Let h(b) = b**2 - 5 + 11*b + f*b - 14*b. Does 24 divide h(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 16*t + 28\/3*t**3 - 20*t**2 - 3\/2*t**4 - 1. Factor m(u).\nAnswer: -2*(u - 2)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a + 8. Let u be (-5)\/(10\/(-16)) - 2. Suppose u*r = 10*r - 36. Let v be z(r). What is the greatest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/7 - 21150*w**4\/7 + 4204236*w**3\/7 - 193953692*w**2\/7 - 1279519914*w\/7 - 1977749478\/7 = 0. What is w?\nAnswer: -10771, -3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 12*i**2 + 28*i + 48. Determine w(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + x - 8 = 18*o, -3*o - x - 36 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -0.3, -32, 497636?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.25 from -9.\nAnswer: -31.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b + 52 + 28 = 149. Suppose 3*g + 3*q = 27, g + 0*q - 33 = 5*q. Solve -g = -b*v - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-355)\/(-426)*(-18)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -7*x**3\/3 - 7*x**2 + 1171. Let k(r) = -r**2. Calculate 6*k(q) - m(q).\nAnswer: q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 53*l - 748. Let v be q(-10). Let j(b) be the first derivative of -b**4\/4 - 17*b**3\/3 + 9*b**2 - 4*b - 1. Give j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 22 + 30 + m + 18 - 10. Let u be f(0). Let g be (-320)\/(-6)*u*2000. Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/343986 and -65\/1031958.\nAnswer: 1031958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 2*s**2 - s + 1. Let q(n) = -11*n**3 - n**2 - 63*n + 5. What is 5*k(u) - q(u)?\nAnswer: u**3 - 9*u**2 + 58*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*d + 25, -v + d + 1 = -15. Let a(w) = -w**2 + 7*w + 86. Let g be a(v). Suppose 4*f - 5 = 3. Solve -g = f*r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 2:17 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*h**2*v**2*x - h**2*v**2 - 10*h**2*x**2 + 4*h*v**2*x - 5*h*v*x**2 + 2*v*x**2 wrt h?\nAnswer: -74*v**2*x - 2*v**2 - 20*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z + 15*z - 48*z + 5*w = 452, -2*z - 3*w + 6 = -4*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254*o**4*v + 496*o**2*v**2 + o**2 + 129*o*v**2 - 587*o wrt o.\nAnswer: 3048*o**2*v + 992*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 97. Suppose 4*o - 53 = -5*v + y*v, -4*v + 4*o + 172 = 0. What is the remainder when v is divided by (-18)\/(6*(-2)\/16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5*p + 2*k**5 + k**4*p + 483*k**2 + 2*p wrt k?\nAnswer: -60*k**2*p + 120*k**2 + 24*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -19*i + 1\/6*i**3 + 0*i**2 + 0. Let u(f) = 17*f**2. Calculate p(u(c)).\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -26, -72, -156, -290, -486, -756, -1112?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 198394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = 29, -5*r + 95 = 4*f. Is -2 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 362521223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*m**3 - 1623*m**3 + 863*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -2*t - 2, -45*t = -5*a - 49*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*p + 4*m, 0*m - 3 = 3*m. Suppose 3*g + 28 - 10 = -3*d, -2*d = 3*g + 12. Sort p, -10, d in ascending order.\nAnswer: -10, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - s**3 + 62 + 183 + 9*s + 212 as h*s**3 + r + j*s + b*s**2 and give r.\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 2*c**4 + 12*c**2 + 0*c**3 + c**2 + 6*c**2 in the form k*c**3 + i*c**2 + n*c + f + t*c**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4))**(23\/4)\/(w**(-9\/5)\/w**(2\/19)) assuming w is positive.\nAnswer: w**(-5831\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088313601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*y = -9, -4*b - y + 1 = 0. Suppose 7 + b = t. Let h = t - -3. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7120090 less than 0.0578288?\nAnswer: -7120089.9421712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5008*v + 24990*v**2 - 93650\/3*v**3 + 8\/3 = 0. What is v?\nAnswer: 1\/1873, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1644391*g**2 - 1644394*g**2 + 6577578*g**2 - 1644402*g**2 - 1644396*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 72 = -4*k. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-24)\/27)*(-149)\/(10281\/(-5796)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.3, -7\/1956?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40.894 and -5.\nAnswer: 204.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127510 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -11*f + 567. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121916 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43506991 to the nearest integer?\nAnswer: 6596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 434014?\nAnswer: -434003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 * -0.38.\nAnswer: -21.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 + -38 + (27 - 10). Let d(o) = -8*o - 27. What is d(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 276, 3, -3, -5 in ascending order.\nAnswer: -5, -3, -2, 3, 10, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75037 (base 8) to base 11.\nAnswer: 21541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -15.9. Let p = q - -0.1. Let x be 8\/70 - 32\/(-112). Which is the nearest to x? (a) -5 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.2, 63574, -5, -0.5 in increasing order.\nAnswer: -5, -0.5, 6.2, 63574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, 115316, -3, 2, 3.\nAnswer: -21, -4, -3, 2, 3, 115316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 1, h: 3, y: 1, o: 4}. What is prob of picking 1 d and 2 e?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 7*p**2 - 8*p - 1. Let y be a(-8). Let l(r) = -36*r + 2. Is 8 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*t - 3, 0*t - 27 = -w + 4*t. Solve 5*d = 2*d - 4*b + w, 28 = 4*d - 4*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, -4.\nAnswer: -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -16*d**3 + 315*d**2\/2 - 297. Find the second derivative of u(l) wrt l.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 14. Let v be r(5). Let n(w) be the first derivative of -7*w**2\/2 + 2*w - 1. What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2081467976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) + (sqrt(560) + sqrt(560) + sqrt(560)*2 + sqrt(560) - sqrt(560)))*-5 + (sqrt(560) - sqrt(560)*1)*3)\/((-4*1*sqrt(42))\/(sqrt(54)*-3)).\nAnswer: -225*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/3 - 3898*g\/3 + 9128 = 0. What is g?\nAnswer: -1956, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 16*l**2 - 5*l**2 + 7*l**2)*(-25*l - 10 + 10)*(-25 + 29 - 26).\nAnswer: 9900*l**3 - 1100*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 11:00 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 5:25 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 12*a**2 + 13*a + 9. Suppose -4*z - z = 65. Let r be x(z). What is the remainder when 4\/((-4)\/r)*-3 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -44*z - 4. Let t be n(-7). Find r such that -2*r**5 - t*r**2 - 103*r**4 + 72 + 4*r**4 - 53*r**4 + 376*r**3 - 12*r + 22*r**5 = 0.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 42300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 7 + 3*g**2 + 0 - 4*g. Let a be l(-5). Solve a*f + 5 = -3*q, -4*f + 2*q = -f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8745*l - 131163. Give o(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:41 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5548 + 5985 - 401 + 6736 - 4498)*(-3*d**3 + 6*d**3 - 4*d**3) as c*d + m*d**2 + p*d**3 + y and give p.\nAnswer: -13370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Find the first derivative of -4*u**2 + u**r + 4 + u**2 wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*q + 1 + 5 = 0, j = -q + 5. Suppose j = -r + 2*y, -y = -5 + 1. Solve t - z - 4*z = 22, 5*t = -4*z - r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 0) + 3\/(-3). Let b(z) = z**2 + 13*z + 3. Let o be b(-13). Suppose o*s + y*s = 750. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -276819.56.\nAnswer: 1384097.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 15 - 2 - 3*a**2 - 7*a - 10. What is the remainder when 17 is divided by o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4121000 + 2234?\nAnswer: -4114322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1431093*d**3*i - d**2*i - 2*d**2 + 112297*d*i - 2*d - 3 wrt d?\nAnswer: 8586558*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 0. Let j be 52\/6*f\/(-4). Suppose -s + 4*s + 10 = -5*u, 3*u - j = 2*s. Which is the biggest value? (a) u (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85.7*-3.166.\nAnswer: -271.3262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g = 3*j + 48, 3*g + 6 = 0. Let b(f) = 4*f - 1. Let v be b(j). Let i = v - -91. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggggfvvvvgf. Give prob of picking 1 g and 1 v.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.12171 litres to millilitres.\nAnswer: 71121.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 - 2\/(-5 - -3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*b + 318*b - 95*b + (-6*b + b + 4*b)*(1 + 0 - 3)*(2 + 2 - 3).\nAnswer: 167*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -71430?\nAnswer: 71424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 1\/3*v**4 + 1\/2*v**2 + 0 + v**3 + v - 1\/20*v**5. Suppose f + 0 = 5. Give y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-28)*1134\/(-108).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 3 - 3 + (-3 + 5 + 0)*(-2 - 3*j + 2) - 11*j - 3*j + 2*j + (-3 + 1 + 0)*(-2 + j + 2) - 2*j - 1 + 1.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 390312\/(-810) + -4 + 2. Let i = h + 484. Solve 0*p + 0 - i*p**2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90175241\/16 - 5633361. Let h = i + -10391\/4. What is the common denominator of -27\/16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -267*x**2 - 3374*x + 5. Calculate d(-13).\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -4\/33 in increasing order.\nAnswer: -5, -4, -4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, v: 1, b: 2, a: 1, t: 2}. What is prob of picking 2 t and 1 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 28*x + 207. Calculate w(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -1\/9*n**4 + 2\/9*n + 0*n**3 - 2\/45*n**5 + 7 + 2\/9*n**2. Suppose k(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27198588 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = -5*m, -2*m + 5*m = k + 17. Suppose m*f = 2*f - 2*p + 29, 0 = -f + 3*p - 5. Calculate the lowest common multiple of 6 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000519051 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15920 divided by 1.\nAnswer: -15920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -1\/5 (c) 5 (d) 3741 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 - 150. Suppose 0 = 5*t + 25, 0 = -4*z + 3*z - 2*t - 8. Suppose z*l = -0*q - q + a, 4*l - q - 114 = 0. What is l rounded to zero decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 27. Suppose 5*c - s*i = 2*c, -3*c + 2*i + 6 = 0. Solve -7*j = -3*j + c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.07 plus 396.6?\nAnswer: 398.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4417304 is divided by 415?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/578 and 89\/408.\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-4)*40\/15. Find the common denominator of 555\/(-9)*t\/(-30) and 123\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 735 + -740. What is the nearest to 0.08 in 2\/15, x, 5, -11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = r + 4*v, 3*v + 0*v = -4*r + 46. Let p = 3543\/86 + -6957\/172. What is the third biggest value in r, 4\/7, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(297) - 5*sqrt(1188))\/((sqrt(189)\/(sqrt(441) - sqrt(9)))\/sqrt(7)*5).\nAnswer: -216*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 67\/1072 + (-10317)\/(-48). Calculate the greatest common divisor of n and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1171, -1125, -1049, -937, -783, -581?\n\"Answer: a**3 + 9*a**2 + 12*a - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512540078 is divided by 2263.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - r**2 + 1. Suppose -u + 3*h + 8 = 0, u + 3*h = -3*u - 13. Let s(g) = 43*g**3 - 66. Let y(a) = u*s(a) + 2*m(a). Differentiate y(z) wrt z.\nAnswer: -117*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 52 = 5*x - 83, -3*x + 2*w = -59. Suppose 20*l + 102 = x*l. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 855. Let r(v) = -v**2 - 7*v + 843. Calculate 5*c(s) - 4*r(s).\nAnswer: 4*s**2 - 2*s + 903","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -8 + 32. Suppose -n*a - 2*p = -46, 2*a - 4*a = 2*p - 22. Calculate the lowest common multiple of 30 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-3) + -3)*4\/(-20). What is the second biggest value in y, -2, -0.4, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + j + 15. Suppose -4*w = -j*w + 11541. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 3, 25, 4, 110 in ascending order.\nAnswer: -9, -4, 3, 4, 25, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + -18 + 2. Let t = f + 28. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 4, 0.5, 5, 2\/627, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -244*-6\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 - 1010?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/10, 4\/5, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4\/121 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -16 - (-1 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -751213 by -44189.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6) - (56 + (-123145)\/2145).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/27 (b) -1\/5 (c) 2 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + (2 - 2). Let z = -8 - -10. Find the third derivative of -3*w**2 - w**4 + q*w**z + 2*w**2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (3 - 1)\/(-2). Suppose 5*z = 2*o + 20, 6*o = 5*o + u*z - 10. Let r = 7 - o. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101825 is divided by 33936.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 20 + 8 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 - 2*h - 1. Suppose -5*t - 6 = -11. Let k be ((0 + t)*2)\/(7\/(-7)). Let g be i(k). Is g greater than -3\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0129 times -2\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -23 + 1*2\/(-2). Let c = u + 40. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let o(w) = -282*w**2 + w. Calculate o(r(t)).\nAnswer: -1128*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 77 = -0*j. What is the closest to j in -2\/7, 0.5, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z - g, g + 0 = 3*z - 14. What are the prime factors of (z\/5)\/(3\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4 - 340*n**3 + 984*n**2 + 16*n - 1312 = 0.\nAnswer: -1, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 366, 0.48, -3, -0.2, -1\/7, 2 in increasing order.\nAnswer: -3, -0.2, -1\/7, 0.48, 2, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1404 or -1?\nAnswer: -1\/1404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25968 and 31639844.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -14\/15, 76, 2\/257?\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**47*((v\/((v\/(v*v*v*v\/v**(-4))*v)\/v))\/v)\/v**0)\/(v**(-13\/7)\/(v**(-3)*v\/(v**(5\/2)\/v))) assuming v is positive.\nAnswer: v**(733\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -3 - 1\/6*b**3 + 1\/4*b**2 + 0*b. Factor c(z).\nAnswer: -z*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 3*w)*(16*w**3 - 7*w**3 + 52*w**3) + (0*w - 3*w + w)*(5*w**3 - 4*w**3 - 3*w**3) - 13*w**3 + 13*w**3 - 2*w**4.\nAnswer: 63*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -10010?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let h(l) = 4*l**2 - 6*l. Suppose 5 = 17*t - 12*t. Let s(g) = t*h(g) - 3*a(g). What is the second derivative of s(x) wrt x?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/318 and 49\/1060.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/9708 and -7\/36405.\nAnswer: 145620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -2*sqrt(275)*5 + 3*(sqrt(275) - (1 + sqrt(275))))*4.\nAnswer: -180*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:50 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3292 - 1575. Is 71 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 6. Let o be (8 + -7)*(5 - 0). Let a be n(o). What is the second smallest value in -2\/9, 0.5, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:45 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4977743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*b + 1 = 0, -5*g - 3 = -2*g + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/30*12\/(-10). Suppose -2*z - w + 114 = 0, -u*z = 3*w - 99 - 7. Calculate the least common multiple of z and 2.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/5*(-45)\/30\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 309\/15 + (-6)\/(-15). Suppose -3*w = -3 - o. Let q = 1 + 39. Calculate the highest common factor of q and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -16 - (-17624)\/6 - 14\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18\/11 (b) -0.1 (c) -1\/5 (d) -0.6 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2 + 125*c\/2 + 603\/2 = 0?\nAnswer: -9\/2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*z - 9 - 9, -3*b + 5*z = -5. Suppose 3*o = -b*k + 274, -7*k + 3*k = -4*o - 200. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 581942.56?\nAnswer: -581937.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -845\nAnswer: 3\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 - 6*t**2 + 5*t. Let i(x) = -6*x**3 - 5*x**2 + 4*x. Suppose -20*y - 59455 = -59355. Calculate y*i(f) + 4*q(f).\nAnswer: 6*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066737?\nAnswer: 3, 7, 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-424)\/(-20))\/((-4)\/(-1670)).\nAnswer: 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*j**2 - 19101120 - 1349*j**2 + 19101120.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25436.18 - 27.\nAnswer: -25463.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147809 and 168507.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -243*g**4\/4 + 126*g + 272. Differentiate m(s) with respect to s.\nAnswer: -729*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/4756 and 61\/580.\nAnswer: 23780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 1170\/(-72))*-1*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114945*r**3 + 68672*r wrt r?\nAnswer: 689670*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124 and -15571.\nAnswer: 1930804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20832 + 20806. What is the second smallest value in u, -1, 104?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = u - 36, 6*u = 2*u + 3*v + 79. Differentiate 9 + 22*a**2 - u + 17 wrt a.\nAnswer: 44*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 429 = -6*w. What is the least common multiple of 12 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 18655762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((88*750\/9900)\/(((-8)\/114)\/2))\/2.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520 and 420320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -2768.\nAnswer: -7\/2768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:47 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.276 + 0.376. Let q = d - -34. Round q to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 474590 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205 + 115. Let g = -86 - m. Suppose 6*b + 2 = 7*b. Solve b*s - g = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(21)\/(3*sqrt(175)) - 5*sqrt(12)\/sqrt(4)*4)**2.\nAnswer: 89401\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 16 = 4*c, -5*c - 5*a = -352 + 332 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, u: 3, n: 6, e: 3, q: 1, p: 2}. Give prob of sequence uen.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 37*c**2 - 37*c + 37. Let x be a(36). Does 33 divide 39590\/60 - x\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 7*v. Suppose 4*t - 3*y - 140 = v, -t - 4*y = -3*y - 35. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2654 - 2654. Solve 5*k + 10 = -b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-7) + 1690\/35 + 4. Let g = a - 66. Let d(v) = -v**2 - 16*v - 24. Let o be d(g). Solve -3*c = -o*u + 12, -c - 4*u = -5*c - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (-2*sqrt(95) - sqrt(95)))\/sqrt(5))**2 + (sqrt(19) + 2*sqrt(19)*-1)**2.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-36) + 200\/9. Solve -2*t + q = 4*s, -s = 2*t + 1 - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110 (base 6) to base 2\nAnswer: -11000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1243, 0, -2879, -1, 1 in descending order.\nAnswer: 1243, 1, 0, -1, -2879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + 11. Let m = -41 + n. Let x = 6 - m. Solve x*i + 8 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/3)\/((-6)\/(-9)) - 3. Suppose n + 93 = 4*s, -4*s + 68 = -v*n + 9*n. Calculate the lowest common multiple of s and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/9 - 1268*m\/3 - 43056 = 0.\nAnswer: -1794, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 9*t**8\/56 + 25*t**4\/12 - 28*t. What is the third derivative of k(y) wrt y?\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**34*z**(1\/14)*((z*z\/(z\/(z*z**(12\/11))))\/z)\/z**(-32) assuming z is positive.\nAnswer: z**(10497\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287404 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: Solve 13*s - 4*s + 36 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.05 (b) 0.2 (c) -12 (d) -2\/9 (e) -4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13786 - 4*v + v**2 + 6890 + 4*v + 6897. Let f(s) = 2*s - 195. Calculate f(n(g)).\nAnswer: 2*g**2 - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10) + 42\/40 + 276\/736?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 675770?\nAnswer: 135154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:34 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/52)\/(((-8)\/(-32))\/(-1))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 15477516*l**2 + 0*l**3 + 4*l**3 - 2*l**3 + 2*l**3 - 15477604*l**2.\nAnswer: 2*l**3 - 88*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b - 23. What is the units digit of t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 7\/71, -6\/17?\nAnswer: 7\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 2, 1, -2, -7, -14, -23?\n\"Answer: -t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k + 229. Give t(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)\/d)**(4\/31)*d**(-1\/3)\/(d*d*d*d*(d*d**1\/d)\/d*d) assuming d is positive.\nAnswer: d**(-508\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1602743300?\nAnswer: -1602743301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let c(y) = -146389*y**2 - 26. Determine x(c(o)).\nAnswer: -146389*o**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 1, x: 1}. Give prob of picking 1 k, 1 x, and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -48530?\nAnswer: -48529.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17 = 25. What is the third derivative of -9*d**2 - 10*d**s + 2*d**5 - 26*d**5 + 15*d**2 wrt d?\nAnswer: -1440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1415\/(-208005))\/((-16)\/1512)\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 12 (c) -1\/2 (d) -0.7 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(13\/((-5239)\/(-124))).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 + -90. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 24*o**2 - 4*o + 2. Let n be q(1). Suppose -y - 3 = -i, 5*i + y - n = i. Solve i*r - 2 = -3*a - 1, 0 = a - 4*r - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3\/5*c**2 + 12\/5 - 9\/5*c = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2))**(-40)*d\/d**(1\/6)*d*((d\/d**(1\/6)*d)\/d)\/d)\/((d**(-1\/3))**48*(d**(-1\/3))**(3\/2)) assuming d is positive.\nAnswer: d**(229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0, -5, 35 in decreasing order.\nAnswer: 42, 35, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 413179535 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*m + 16 = q, 4*q + 5*m = -4. Let z be (417 + -5)*1\/q. Suppose v - z = -2*v + 2*u, v + 2*u - 29 = 0. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 414824?\nAnswer: -41480a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221141 + -413?\nAnswer: -222104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -1\/21*v**7 + 1\/6*v**4 + 1\/5*v**6 + 0*v**2 + 0*v**3 + 4*v + 0 - 3\/10*v**5. Factor y(c).\nAnswer: -2*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -210, -430, -654, -882?\n\"Answer: -2*f**2 - 214*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 11. Let g(v) = v**3 + 4*v**2 + v - 11. Let j be g(-4). Let h be b(j). Suppose -c - 3 = -h*c. Which is smaller: c or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*l + 9 - 21 = 0, 3*l - 15 = 0. Which is the closest to -2\/11? (a) i (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 6 + -6 + 5 + (0 - 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 10. Let i(p) = 5*p + 9. What is 5*i(g) + 6*r(g)?\nAnswer: g - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -13. Which is the second biggest value? (a) -0.2 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -45, -70, -97, -126, -157, -190?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(1377) + 0)*-3)**2.\nAnswer: 446148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/12 + 3*u**3\/2 + u. Let v(q) = -q**2 - 2723*q - 59431. Let m be v(-22). Determine x(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 321584*d**6 + d**5 - d**4 - 3*d**2 - 11385*d - 146?\nAnswer: 38590080*d**3 + 60*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (1 - 3) + 0)\/(-1). Let y = i + -63. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -15, -1, 0.03?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/9 - 2*u**3\/9 + 4*u**2\/3 - 15*u. Suppose y(m) = 0. Calculate m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**2 + 9*o - 9. Let f(s) = s**2 - s + 1. Let x(b) = -18*f(b) - 2*m(b). Let j(u) = -6*u**2. What is j(x(r))?\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u - 43894 - 69224 = 0. What are the prime factors of u?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 76 - 32 - 44.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 + 64 = 2*w + 3*t, -3*w - 2*t = -655. Suppose 19*p + w = 977. Calculate the highest common factor of 180 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(12) + 2*sqrt(48))\/(-2*sqrt(384) - (1*sqrt(216) - sqrt(216))))**2*5.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 550138 to the nearest one thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/7772465 and -37\/45.\nAnswer: 69952185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -60*s - 470. Let f(a) = -36*a**2 + 8. Let x(z) = -36*z**2 + 7. Give s*x(t) + 6*f(t).\nAnswer: 36*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -3*t**2 - 59. Let h = 72 - 105. Let v(p) = -48*p - 33. Let l(d) = -3*d - 2. Let w(k) = h*l(k) + 2*v(k). Give s(w(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y + 6. Let u be k(3). Suppose 4*h = -5*q + 138, -4*q + u*h + h + 102 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.1126.\nAnswer: 0.0563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 74524*w - 74531*w - 5*f, 148 = -3*w + 5*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 5*f + 565 = 0, 2*f = -5*w + 579. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(90)\/sqrt(5).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (7 - (-5 - -11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*q + 4 = 0, 5*q - 25 = 2*n + n. Let d(t) = -t**2 - 4*t + 3. Let x be d(n). Let l = 172 + -167. What is the second smallest value in -9, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-5)\/(-36))\/((-5)\/10) and (-1526)\/(-168)*2\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-35 - (32 + (-139 - -34)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 + q**3 - 3*q**2\/4 - 9*q\/2.\nAnswer: q*(q - 2)*(q + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k - 15 = 3*s, s = 2*k - 5. Suppose -3*b - 1682 = 3*r - b, 4*r + 4*b + 2244 = k. Round r to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(0 + -1*sqrt(1331) + 4))**2.\nAnswer: -5388 + 352*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -150226?\nAnswer: 77\/150226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213939 is divided by 1086.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67072 by -4.\nAnswer: -16768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10628758 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 28. Which is the third smallest value? (a) 0.3 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/75)\/((-4)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90875 at most 181749\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + -3 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by -6?\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11957236, -23914468, -35871700?\n\"Answer: -11957232*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*p + 12, 12 = 5*a + 4*p - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 232*u**2 + 4*u - 2. Let x be a(2). Suppose -5*o - 1170 = -i - 4*i, 4*i - 2*o = x. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331103753 to the nearest integer?\nAnswer: 18196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.21 + 0.19. What is the smallest value in -4, 5, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*z - 3*z. Let n be 0\/(z - (2 - 1)). Suppose n = 2*x + 3*x - 180. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181 - 156. Let h = -16 + a. Solve -5*p + 31 = 3*m, 3*p = -4*m + 7*m + h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 175802.481 nanoseconds?\nAnswer: 0.0000000020347509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 2*w**2 + 2*w)*(2 - 2 - 2) - w**2 - 2*w**2 - w**2)*(0*w - 2*w + 6*w) + (3*w - w - w)*(-3*w**2 + w**2 + w**2).\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1970408, 3940814, 5911220?\n\"Answer: 1970406*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 11*p - 14*p = -31, -p = 0. Calculate the highest common divisor of j and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5875*v**2 + 4077*v + 4904*v + 1508*v**2 wrt v?\nAnswer: 14766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/2339709 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11 = 3*y - 4, 2*x = 5*y - 9. Suppose 0 = -x*v + 8*v + 15. Let m be 0 - v - (0 - -1). Solve 2*g + 4*z = 0, m*g - 3*z - 1 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m + 7. Give b(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-93)*6\/(-44)*-1\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52249558 and 78374337.\nAnswer: 156748674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = -7, 2*r - 3*j + 3 = 0. Suppose 5*t + 2*z - 53 = 0, 5*z - 28 = -2*t - t. What is the lowest common multiple of r and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24402100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 201337913009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1300)*-2*-4 - (0 + 1 + sqrt(1300) - ((sqrt(1300) - (sqrt(1300) + 1)) + 2)))**2.\nAnswer: 63700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8de - 29b?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than -44390\/6219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 - 1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - l + 34 + 5*l. Let t be u(-24). Suppose -1172000 = -6*c + t*c. What is c rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11885\/3 + 3962. Sort 0.2, -1, 24, l, 2 in increasing order.\nAnswer: -1, 0.2, l, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 731\/98 + 2\/49. Let w = d + -137\/18. Which is the third biggest value? (a) -3 (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355802 is divided by 383?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*p**3 + 820*p**2 + 3208*p - 96 = 0.\nAnswer: -2, 3\/101, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 21238, -2?\nAnswer: 21238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 128.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 + 9)) + 1 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkskkkssspks.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/5, 1\/8, 1, -0.4 in descending order.\nAnswer: 1, 1\/8, -0.4, -21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4055 = 5*d + o, 4323 = -5*d + o + 268. Let t = d + 2392\/3. Calculate the common denominator of t and -87\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154584833 or -154584834?\nAnswer: -154584833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 14. Let u be a(12). Factor -289 - 6*i + 289 + 2*i**u.\nAnswer: 2*i*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 3*x**2 + 2*x + 2. Let u be p(-2). Let a be 1\/(u\/4 + 2). Factor 0 - 2\/5*z**a + 0*z.\nAnswer: -2*z**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 69. Let q = -17.3 + 3.3. Let m = n - q. Which is the nearest to m? (a) -5 (b) 2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 - 3*u + 2. Let k(d) be the third derivative of -d**6\/24 + d**4\/6 - d**3\/3 + 5*d**2. Give 6*g(f) + 5*k(f).\nAnswer: -f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101 + 310000202?\nAnswer: 310002303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -13. What is the hundreds digit of 8\/(-68) - 1\/(o\/2960)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03795365621 to six decimal places.\nAnswer: 0.037954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-5)\/25*-15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + 16)\/(-1 + 0). Let d = u - -24. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = p - 3*s, 5*s + 622 = 5*p - 208. What is the greatest common factor of 480 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*h**5 - 4*h**3*o + 11*h*o - 7*h wrt h.\nAnswer: 920*h**3 - 24*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 6*g - 2\/3*g**3 - 1\/4*g**4 + 8 + 1\/2*g**2. What is the tens digit of l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-4)\/4) - (-12 + 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)\/(-2*4*sqrt(12) + sqrt(12)) + (-4*(sqrt(110) - (sqrt(110) - (-2*sqrt(110) + sqrt(110)))))\/(-5*sqrt(10)*2))**2.\nAnswer: 1331\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:28 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248845 and 6.\nAnswer: 1493070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l**2 - 80*l + 101. Let f(h) = 3*h**2 - 16*h + 20. Let i(t) = 11*f(t) - 2*y(t). What is the remainder when 35 is divided by i(16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321122 and 269546?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 543 - 3*r**2 + 2*r**2 - r**4 + 541 in the form f*r + v + p*r**2 + a*r**4 + i*r**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/5, -0.19, 19, -2\/11, -0.3, 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 40 = -7*q, 16 = 149*q - 150*q - 2*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (4 + 2)) + 11 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -12\/7*l**3 + 8\/7 + 2\/7*l**4 + 26\/7*l**2 - 24\/7*l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 3*i + 67 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**0*k)\/k)**(-25))**(-15) assuming k is positive.\nAnswer: k**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*s + 1234500, -11*x + 9*x = 2*s + 823000. Round x to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 9947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382 + -380. What is the nearest to -1 in -1, p, -2, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 38 - 13 + 4. Give x(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6378 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*t - 2*p - 30 = 174*t, 12 = -3*p for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5708996 + -8318004. Round z to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = -4*n + 3*v, 5*n - 25 = -5*v. Let m be n\/(18\/(-135) - (-2)\/6). Solve 30 - 5 = m*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10257 divided by -4255.\nAnswer: -10257\/4255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -283*z**3 + 291*z**2\/2 - z - 541. Find the second derivative of c(p) wrt p.\nAnswer: -1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3945*k*n**2 + k*n*x*y - k*n*y**2 + 29*k*y**3 - n**2*x*y - 22994*n*x*y**3 wrt x?\nAnswer: k*n*y - n**2*y - 22994*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 2526?\nAnswer: 2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3*c - 17. Let h be b(-6). What is the units digit of -1 + -1 + 178 + h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 2*x + 9 = -26*a, -5*a - 31 = -4*x for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21062038.\nAnswer: 2, 599, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1. Suppose -18 = -2*d + 3*f, 4*f + 10 = -46*d + 44*d. Let b(n) = 14*n + 2. What is d*r(t) + b(t)?\nAnswer: 14*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 11*c + 12. Let q be b(10). Suppose q*g - 182 = -3*k, 4*k + 7*g = 4*g + 241. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 196, 3, 2\/519?\nAnswer: 2\/519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) 2992 (b) 0 (c) -1 (d) 3\/4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -6*q + 40. Which is the nearest to -2\/9? (a) -2 (b) q (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + z**2 + z + 1. Let q(k) = 6*k**3 - 12*k**2 + 2*k - 2. Let h(p) = -5*l(p) - q(p). Let y = 8 + -15. Let s = y + 13. Give h(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870987996?\nAnswer: 2, 103, 4541233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v - 3. Let t be u(-6). Suppose f + t = 4*f. What is the remainder when f is divided by 5\/((-1)\/(-3)*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-70) - 11\/55. Let s = -2 + 6. Which is the third biggest value? (a) 1 (b) s (c) z (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 12*d**2 - 9684 - 66713.\nAnswer: 7*d**2 - 76397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52*(-10)\/200)\/(1\/(-10))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*a + 10, 5 = 2*v - a - 2. Suppose x + 4*c - v = 7*c, 2 = -2*c. Let h be (-2 - -1)\/(x - 2). Solve h = 2*u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13169171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 + 2*h**2 - 55 + 124 - 2*h + (1 + 1 + 0)*(-h + 2*h - 2*h)*(5*h - h - 6*h) to the form f*h**2 + r*h + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*h - 101*h = 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184.8 - -187.8. Let u = -0.2 - 0.3. Put r, u, 5 in ascending order.\nAnswer: u, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 10*f + 1002. Let k be i(-37). Which is the second smallest value? (a) k (b) -5 (c) -24 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5301*b*f**2 - 69784*f**2 wrt b?\nAnswer: -5301*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1417327949\/15120 - 1499817\/16. Let n = -3\/140 + h. Let q = -7 + 8. Is q greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 2 + 2 + (-1 + 2 + 0)*(-3*r - 3*r + 2*r)*(1 + 1 + 0).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = v - 8262. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.22734 weeks in seconds?\nAnswer: 58198295.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 339664.\nAnswer: -1\/42458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*p + 256 = h, -2 = p. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 divided by -2?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 90 - 41 - 45. Let o(c) = 1. What is 4*o(f) - w(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-5) + -1*1. Suppose 15*o + 28 = -2. Let v be -1 - o - w - (1 - 5). Solve 2*p - 8 = -4*u, -v*p - 10 = -2*u - 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1293 times -0.4\nAnswer: 0.05172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8747454 + 8757024.7995. Let f = -9578 + u. Let r = f + 7.2. Round r to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(99) - (5*(1 + sqrt(99)))**2) + (sqrt(99) + 2*sqrt(99) + sqrt(99) + 4)**2).\nAnswer: 102*sqrt(11) + 1794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6384405 is divided by 108210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bebb (base 16) to base 3.\nAnswer: -2110222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1671 = -0*l + 3*l. Let z = -3887\/7 + l. Find the common denominator of 13\/6 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*k + 18645 = -819*k - 805*k - 38265 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3556 - 2223 = -4201*f - 4592 - 2477 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*s + 63*s - s**2 - 30154 + 30104 + 2*s**3 - 2*s**4 as y*s + g*s**3 + l*s**4 + c + a*s**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 24*x + 18. Determine g(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l. Let u(j) = 128*j - 32. Determine u(t(i)).\nAnswer: 1664*i - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 8*p + 12. Let u be n(9). Let k be (-9 + 1)\/(12 - 14). Solve 15 = -i - k*w, -30 = 5*i + 2*w + u*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205232741 to the nearest integer?\nAnswer: 14326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1930*y + 9716. Give o(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 5:18 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 5. Let y be a(-8). What is the smallest common multiple of (-6)\/(-1) + -4*y\/(-6) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1800.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1023 - 1013. What is the remainder when 32 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, -0.2, 41\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-0.04.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 1:16 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (235\/(-20))\/((-5)\/(-4)). Let t = -86\/15 - x. Let s be ((-32)\/72)\/((-40)\/30). Sort -5, s, t in descending order.\nAnswer: t, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396\/8*(-17)\/((-1683)\/44).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -248, 16, -552, 5 in ascending order.\nAnswer: -552, -248, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119222555 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 + 10*d - 14. Give g(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 14 - 2 + 1008*i**2 - 5.\nAnswer: 1008*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Let b(t) = -t**3 - 5*t**2 - 2*t - 7. Let a be b(-5). Let c be (-2)\/4*p + a. Put 0.4, -1, c in increasing order.\nAnswer: -1, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 6. Let m(f) = f**2 - 5*f - 4. Does 16 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 28*q. Let p(u) = 7*u + 59. Let j be p(-8). Let n(b) = b**2 + 3*b. Let d(o) = -o. Let x(t) = j*d(t) + n(t). Determine a(x(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**2 - 507*w + 41 wrt w?\nAnswer: 2*w - 507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545898 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:43 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 20*l + 15. Calculate the remainder when x(19) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-590)\/(-40) - 3\/4. Let b = 32 - t. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52, -325, -1064, -2503, -4876, -8417?\n\"Answer: -39*w**3 + w**2 - 3*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4780.33 rounded to the nearest 10?\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 = -2*r - 4*a + 861, 5*a + 1463 = 2*r. Let w = r - 731. Solve 0 = 3*s - 0*u - 2*u + 16, -2*s + 11 = w*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 98 (b) -0.1 (c) 5 (d) 1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6937 - 138651\/20. Suppose 0 = -214*k + 209*k + 5. Find the common denominator of k\/(-2) - 897\/780 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 92 = 2*u. Suppose 4*q = -q. Suppose q = -2*b - 2*b + 24. What is the highest common divisor of u and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 3:52 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 12757999.\nAnswer: 1275799.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 + h - 3. Determine m(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 74 - 63)*(3*r**3 - 3*r**3 + 2*r**5).\nAnswer: 68*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/5)*z*z**12)\/((z**(-2)\/z)\/(z*z**2*z)) assuming z is positive.\nAnswer: z**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pooypyyoyyoyyoyop. What is prob of sequence oo?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.280866nm?\nAnswer: 0.004280866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -4, 3, -2, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*r = 370*r - 176 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -103? (a) 0 (b) -2\/13 (c) -2\/161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b - 174 + 76 = 275 + 194 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 2, -62, 5, -5, 0.\nAnswer: -73, -62, -5, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrq when three letters picked without replacement from {b: 2, q: 10, r: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.076, -0.21, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.26 - 0.26. Let m = 31.8 - p. Let d = 21 + -16. Which is the biggest value? (a) -2\/11 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 24049086 and 24049064 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 483*q - 610. Is t(43) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*r - 137690 + 43364 = -224*r + 946*r for r.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) -95 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times 336932\nAnswer: -977102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (5 - 351\/63)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2671 - -5057. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -55*d**3 + 11*d**2 - 11*d - 11. Let g(x) = 14*x**3 - 3*x**2 + 3*x + 3. What is 3*f(k) + 11*g(k)?\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:13 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -90*p + 2981. Give b(31).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*16\/40?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 13) in base 11?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4288526 and -89\/2.\nAnswer: 4288526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beeb when four letters picked without replacement from {b: 1, d: 14, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*b + 144 = 1089*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0.1 (c) -2 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*v**2 + 973*v**2 - 929*v**2.\nAnswer: 135*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -181.3. What is the closest to -3\/8 in 0.1, i, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 30, 25, 22, 21, 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21278941 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -175, -183, -213, -271, -363, -495, -673?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k**(-2\/7))\/(k\/(k**(-1\/3)*k)*k)**14 assuming k is positive.\nAnswer: k**(-524\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886 divided by 1?\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 7906, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2048930 and 504352.\nAnswer: 32782880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 81*n**2 - 6551*n + 350. Give o(-131).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200101111 (base 3) to base 12.\nAnswer: -26657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*a**3 + 243 with respect to a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3 + 8988*u**2 - 689050*u + 680064 = 0?\nAnswer: 1, 77, 4416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.7 - -29.7. Let m = 0.2 + -0.7. Which is the fourth smallest value? (a) v (b) 3 (c) m (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 946899275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 12*a + 403. Which is greater: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 1, x: 2, r: 3, a: 3, f: 1}. Give prob of picking 1 f and 1 v.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -77, -116, -173, -254, -365, -512?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 < -438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 648*k + 64640.\nAnswer: -2*(k - 404)*(k + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 15. Let c(f) = f - 17. Let s(k) = c(k) + u(k). Let d(y) = -4 - 3 - y + 10*y. Calculate -2*d(h) + 7*s(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 425?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 170 = 8*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - t + (2 - 1 + 0)*(-2 + 2 - t))*((3 + 3 - 4)*(0 + 0 - 1) + 191 - 288 - 280 + 0 - 1 + 4)*(0*t - 3*t + 5*t).\nAnswer: 1504*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*t - 36 = -3*c, 5*c - 2*t = 67. Let r be 1 + 29\/9 + 134\/(-603). Suppose r*v - 23 - c = 0. Solve v = -u - 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-56)\/126\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) 39 (c) 4 (d) 36 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)*n)\/((n\/(n*n**(-5)))\/n*n))**(18\/13)*((((n**(-5)*n*n)\/n)\/n*n)\/n)\/n**(5\/2)*(n\/n**(1\/2))\/(n*n*(n**(-1\/4)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-1123\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92878 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)*l\/(l*l**0\/l))**(2\/3)*(l*l\/(l\/l**6)*l*l**(-2)*l)**0 assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.42518531 to 4 decimal places.\nAnswer: 15.4252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 7*a**2 + 4*a - 2. Let d = 14 - 20. Calculate the lowest common multiple of 8 and t(d).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 133541*p**3 + 6411504*p**2 + 102592256*p + 547180544 = 0. What is p?\nAnswer: -16, 133589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 6026.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - -2*(1 + 17\/(-4)). What is the smallest value in 2\/33, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 10.9. Which is the nearest to 2? (a) u (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 96 = -0*b. Let v = 1 + 3. Suppose 8*g - b = v*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)**(5\/2)\/(x*x**(-2\/7)\/x*x)**(-12\/7))\/((x\/x**(1\/3))**(-1\/12))**(1\/14) assuming x is positive.\nAnswer: x**(-6653\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from umuurrgumgurummuuu?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1215847\/307450 + 1\/13975. Let p = -37\/2 + -9\/4. Calculate the common denominator of p and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464, 528, 592, 656, 720, 784?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 5 + 6*f**2 - 3 to the form h*f + r*f**2 + i and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 - 14*l. Let z(a) = -a**2 + 3*a. Let d(b) = -3*q(b) - 14*z(b). Let k(f) = -7*f**2. Determine k(d(c)).\nAnswer: -112*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-15))\/(36\/(-6) - -3). What is the nearest to u in -4, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-4))\/f*f\/(f**(-1\/3)\/f))**(-2\/3) assuming f is positive.\nAnswer: f**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1006 and -4511.\nAnswer: -4509.8994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -58\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*s**4 - 522*s**2 + 29403?\nAnswer: -56*s**3 - 1044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12517, 10182, 7859, 5554, 3273, 1022, -1193?\nAnswer: -3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-10)*-5 + 422. What is the highest common factor of l and 472?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) + 3*-2*sqrt(192)))\/((sqrt(288) + sqrt(32))\/sqrt(8))*6 + -1)**2*6.\nAnswer: -432*sqrt(3) + 23334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3*(-2)\/100)\/(56\/(-35)). Let p(i) be the second derivative of 0*i**2 - 1\/24*i**3 - 2*i - u*i**5 + 0 - 1\/120*i**6 - 1\/16*i**4. Factor p(m).\nAnswer: -m*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-6 + 6)) + 5 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55080813.882 - -54761607.382178. Let a = x - -319196. Let t = a + 10.5. Round t to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 6*l**2 + 5*l + 8. Let u be b(5). Let m be ((-9)\/(-210))\/(6\/u). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11113442 - 2?\nAnswer: -11113444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(77) + sqrt(77) + sqrt(77)))\/(sqrt(56)\/sqrt(2)) - (4 + (-6*5*sqrt(110))\/sqrt(10))**2.\nAnswer: -9916 + 237*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2029 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q**2 + 35*q**2 + 41*q**2 - 104*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 864*a**3 - 82944*a**2 + 2654208*a = 0 for a.\nAnswer: 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57401 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120 - -107 - (129 + -56)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -23*a**2 + 2. Let w(r) = -2*r - 207. Determine d(w(q)).\nAnswer: -92*q**2 - 19044*q - 985525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*o**3 - 2203084 + 1101545 - 9*o + 9*o + 1101539.\nAnswer: 157*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**2 + 18 - 16 + 9*l**2.\nAnswer: 22*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -41 - 21 - -27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/16)\/15*3*(-16)\/108*15.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g - 103. Let v(h) = -8*h - 104. What is 6*a(u) - 5*v(u)?\nAnswer: -2*u - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -0, 3*o + 5*j = -24568. Let r = o + 98101\/12. Find the common denominator of 63\/2 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4449\/2078 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4589647?\nAnswer: 149, 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*-2*-3)\/sqrt(6))**2*-5 + (sqrt(475) - (-1*(sqrt(475)*-1)**2 + sqrt(475)) - (-2 + 0 + sqrt(475) - sqrt(475))**2).\nAnswer: -4184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304312200 - -101?\nAnswer: 304312301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 13. What is the closest to -0.2 in 5, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.4, 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 4*s - 1. Let r = -24 - -16. Let g(q) = -q + 7. Calculate the remainder when h(7) is divided by g(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0284 - -221.118\nAnswer: 221.0896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-3))\/(256\/(-32)). What is the closest to o in -4, 0.4, 1\/2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/q**(-1))\/q*q*q)\/q*(q**43\/q)\/q assuming q is positive.\nAnswer: q**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = -3*t, -q = -2*t - 8. Suppose -4 - 20 = 3*x. Let r(i) = -i**3 - 8*i**2 + i + 9. What is the lowest common multiple of q and r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -148, -176, -198, -214?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(-5 + (-3022)\/(-604)). Let p = z + 148. Let j = 4 - 6. What is the third smallest value in -0.07, p, j?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66144 and 15264?\nAnswer: 198432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) -15 (c) -1\/5 (d) -5\/62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3 + -24 - -50*(-70)\/875.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36135, 72270, 108405, 144540?\nAnswer: 180675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/1045 and 32\/181165?\nAnswer: 1992815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -856 and 2.731.\nAnswer: -2337.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7698276 weeks to microseconds.\nAnswer: 465591732480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 680 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(95)*2 + sqrt(95)))\/(sqrt(500)*-1*-2).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1856586 and 81\/148?\nAnswer: 3713172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/105 - ((-73416)\/5390)\/(-57).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzddddzdzzd. What is prob of picking 4 z?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s\/(s*s\/s**(-4\/7)))\/s)\/s*s*s)*s)\/(((s\/s**24*s)\/s)\/s) assuming s is positive.\nAnswer: s**(193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824*i + 1857*i - 175*i.\nAnswer: 2506*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5183280 by 28170.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 379790 and 1141.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3344\/(-32) + (-2)\/(-4). Let z = -55 - c. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 less than or equal to 250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 + 348. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14653 is divided by 318.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is next in 7304069, 7304068, 7304067, 7304066, 7304065, 7304064?\nAnswer: 7304063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 111419*t - 668513. Determine r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 87739800 divided by -17547960?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 1. Let v(a) = -2*a**3 - 4*a**2 + 4. Let r(z) = 5*b(z) - v(z). What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - r**2 + 4*r + 5. Let s be g(-1). Solve s*j + 2*d + 19 = 0, d + 30 = -4*j - 4*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 28*k - 19*k - 12*k**2 + 10*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, o: 1, u: 6}. What is prob of sequence mo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -143216.\nAnswer: -17\/71608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 20*u**4 - 53*u**3 - 34*u**2.\nAnswer: -u**2*(u + 1)*(u + 2)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**17*x*x**22 assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**3 - z**3 + 3*z**3 + (151*z**2 - 151*z**2 + 22*z**3)*(2 + 0 + 1))*(1 - 2 + 0) to u*z**3 + v*z**2 + o*z + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 + 307164*u - 921456 = 0. What is u?\nAnswer: 3, 76788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 + -341. What is the fourth biggest value in r, 2\/5, -0.3, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117\/10 not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1118, 3 in descending order.\nAnswer: 1118, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30433 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**3 + 3*a**2 + 12. What is the tens digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-10)\/(-12)*6\/15. Let f = 1 - 1.03. Let v = -369 - -2582\/7. What is the biggest value in f, 3, z, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 72\/8 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 42 = -42. Let i = 150 - k. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnuuuuupounnnunnunnw. Give prob of sequence uoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3232 - 3227. Solve -5*z - l*p = 10, -9*z = -4*z - 4*p - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1428)\/(-6732)*264\/(-1680)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0, 12 in descending order.\nAnswer: 12, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*b + 317*b + 239432 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let c(y) be the third derivative of 0*y + 0 + 0*y**4 + 0*y**3 + 2*y**2 - 1\/20*y**5. Calculate k(c(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g. Suppose 5*t - 4*d - 54 = g, -3*t = d - 16 - 13. Solve 3*h + 5 + t = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 5*y**4\/12 - y**3\/3 + y**2\/2 - y. Let o be z(2). Suppose 4*u = 0, -u - o = -5*x + 53. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100112401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**2 - 83*t - 953. Let a(s) = -4*s**2 - 41*s - 475. Let k(j) = -5*a(j) + 3*p(j). Suppose k(l) = 0. What is l?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9395 + -56369\/6. Sort -24, 0.48, r in increasing order.\nAnswer: -24, r, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*o + 52 = -2*u, o + 26 = -2*u. Let p(y) = -2*y - 8. What is the remainder when 33 is divided by p(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - h**2 + 2*h - 1. Let a be y(1). Let z(q) = q**2 + 2*q - 1. Let w(o) = -2*o**2 - 3*o + 2. Let n(p) = a*w(p) - 3*z(p). Factor n(u).\nAnswer: (u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**8\/168 - g**7\/105 - g**6\/60 + g**5\/30 + 12*g**2. Find r such that y(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/7 - 90*c**2\/7 + 8901*c\/7 + 44376.\nAnswer: -3*(c - 56)*(c + 43)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i - 3*p, -4*i = 3*p - 2 - 5. Let y = i - -2. Solve 0 + y = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppprpprprrpppppppppr. What is prob of picking 1 r and 2 p?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n = -177*n + 110*n + 134*n + 10521 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**6\/120 - 3*y**5\/10 + 7*y**4\/8 - 35*y**3\/3 - 25*y**2 - 1. Let x be l(17). Let m(z) = -2*z**2 - z. Calculate m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.57284 millilitres to litres.\nAnswer: 0.02757284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*n**4 - 6*n**3 + n**2 - 1759?\nAnswer: 76*n**3 - 18*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*q + 10*h, 4*h + 129 - 125 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 + 24573*p**2 + 50159256*p - 656229756 = 0. What is p?\nAnswer: -4102, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -175\nAnswer: 3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 11. Let p = z - -8. Solve 2*u - p + 13 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -96.999999988. Round r to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (sqrt(272)*2 + 5)) + 1*sqrt(272) + 2 + (sqrt(272) + (0 + sqrt(272))*2 - (-2 + sqrt(272) + -1 - sqrt(272) - sqrt(272))))**2*6.\nAnswer: 26112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235767 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {x: 1, k: 1, b: 1, i: 6, d: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6 - s + 10*s + 14 + 19. Let w be a(-3). Factor 0 + 2\/11*i**3 - 4\/11*i**4 + 2\/11*i**5 + 0*i + w*i**2.\nAnswer: 2*i**3*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29104004397948 + -3\nAnswer: 29104004397945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - t + 5*t)*(0 + 2*t - 12 + 0*t) to the form s*t + f + q*t**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/9 - 158660*l**2\/3 + 5709816*l - 154147536 = 0. What is l?\nAnswer: 54, 237882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.222 + -5.222. Let p = 4315\/9 + -479. What is the nearest to p in 5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.262 - -998.82467.\nAnswer: 999.08667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z - 6. Let b(p) = 7*p + 6. Let k(q) = 5*b(q) + 4*x(q). Give k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 + 78.\nAnswer: 79.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640290 divided by -45735.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7\/6)*l)**(6\/19)\/(l**(1\/2))**(-25) assuming l is positive.\nAnswer: l**(473\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i + 99 = 113*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2500941382*a**2 - 1241*a**3 + 2500941382*a**2.\nAnswer: -1241*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2 - 0) + -5. Suppose -2*a = -4*a - 2. Put a, 1, g in decreasing order.\nAnswer: 1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 93 = -2*j + 5*n, -n = -j + 22. Calculate the greatest common divisor of j and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 130. Let t = y - 20. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooszsosoosz. Give prob of picking 1 z, 2 s, and 1 o.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 31*w**2 - 27*w**2 - 11*w**3 + 17*w**3.\nAnswer: 6*w**3 - 66*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvhdhdarrrrhrrrr. Give prob of sequence drv.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4537 (base 8) to base 9.\nAnswer: -3255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v - 12. Let f(j) = 4*j - 13. Let m(z) = 3*f(z) - 2*y(z). Let w be m(7). Let s = 216 + -215. Which is the closest to w? (a) 5 (b) -8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -7626.91.\nAnswer: -7629.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.474317 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2118 - 2115. Suppose -k = -3*k. Solve k = 3*t + t - b + 8, -g*b = -t - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cppp. Give prob of sequence ppc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12002147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4824 rounded to two dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 201?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8264)\/(-24) - ((-8)\/3 - -3). Suppose 5*d = -3*d + w. What is the highest common divisor of d and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + -1.033\nAnswer: -1.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f - 111 = 78 + 101 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + -19.6. Let g = k - -8.3. Let n = 7.8 + g. Which is the biggest value? (a) 1\/2 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + -2*sqrt(180))\/sqrt(6) + sqrt(30) + sqrt(30))\/(sqrt(12)\/(-1*sqrt(2))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/640 and 17\/4160?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 3*s)*(7 - 3 - 3) + (0 + 1 + 1)*(-s + s - 2*s)*(-17 + 1 + 39).\nAnswer: -94*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, -5, 6, 4, 1, 14, -2 in decreasing order.\nAnswer: 342, 14, 6, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 4) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 25*x - 23. Suppose -115 = 2*c - 7*c. Is t(c) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310377103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(135)\/sqrt(3)*3 + 2)**2.\nAnswer: -108*sqrt(5) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 78202 divided by 641\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + -1 + (-3 + 5*(sqrt(2736) + 1) + 4)**2 + -2.\nAnswer: 720*sqrt(19) + 68429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36195 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(((v*((v*v\/(v**0*v*v))\/v)\/v)\/v)\/v)\/v)**(-22)*((v*v\/(v*v\/v**4))\/v)\/v*v**(-1\/6)*v assuming v is positive.\nAnswer: v**(413\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100585297\/30 + -3354230. Let u = j - -1387. What is the common denominator of -41\/66 and u?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2181 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -400*j**3 - 213*j**2\/2 + j - 1174. Find the second derivative of o(s) wrt s.\nAnswer: -2400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 183596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/18 (b) 1\/4 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - j + 384715 = 0, -3*k = -2*j - 5373 + 293913. Suppose -3*q = -22508 - 38026. Let x = q + k. What is x rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12230 is divided by 3696?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -642 (base 13) to base 10.\nAnswer: -1068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Suppose -k - 27 = -2*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(3) - (sqrt(363)*4)**2 - sqrt(3)) + sqrt(3)).\nAnswer: -4*sqrt(3) + 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = 1800000. What is o rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2765 = -5*p. Suppose -3*b - 107 = -0*x - x, p = 5*x + 3*b. Suppose x = 4*z - 2. Solve -3*f + q - 25 = 6*q, 4*q + z = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413954709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -131, -0.4, -5, 11.3, 2.37?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 14. Let a be b(-3). Suppose -287 = -3*u - 5*l, -l - 2*l = -a*u + 344. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10920 = -1452*h + 1445*h. List the prime factors of h.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13626 or 13625?\nAnswer: 13626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266662920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2639 + -10653\/4. Calculate the common denominator of l and 95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4430836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -13, -2, 6 in ascending order.\nAnswer: -13, -6, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 21*f + 12. Let c(l) = l**2 + 22*l - 12. Let t(u) = -2*c(u) - 3*i(u). Let x be t(8). Suppose -x = -2*k + 190. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304 (base 6) to base 16\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 5*s**2 + 8 + 14 - 20*s = 0. Calculate s.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-7) + (417\/(-182) - -6) and -27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3220 by -644.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 + 12*d**2 - 12*d**2)*(285 + 607 - 521).\nAnswer: 1113*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-18)\/(-4) + 1). Let u(i) = -i**3 + 2*i**2 + i + 1. Let m be u(2). Suppose m*n = -k - 35, 4*k - 24 = 5*n + 23. Are n and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -5557c4?\nAnswer: -5557c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (-4 - (6 + -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + 0*r)*(1 - 21 - 2).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5710 divided by -14.\nAnswer: 2855\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**4 - 30*v**3 + 100*v**2 + 750*v + 625 = 0.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(80)*1)**2 + sqrt(80) + 3)*1.\nAnswer: 4*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20398401151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d*p**4 + 32271668*d*p**3 + d*p**2 + 4504*d*p + 338*p**2 + 8*p - 8 wrt p?\nAnswer: -360*d*p + 193630008*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**3 - 20*m**2 + 17*m + 89. Let z(v) = -3*v**3 - 7*v**2 + 6*v + 31. Give -6*x(k) + 17*z(k).\nAnswer: 3*k**3 + k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 2, h: 2, e: 6, i: 5}. What is prob of sequence ghi?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 100?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -445 or -371?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2090)\/(-35112))\/(((-550)\/1485)\/(4\/(-6)))\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1262766*i**6 + 2*i**2 + 780284 wrt i?\nAnswer: -151531920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-19 - -11)) + -4 + (2 - -10)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 431 + (-23 - -21) + (1 - -5). Let f be ((-864)\/r)\/2 + 0 + 1. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104901630 divided by -15\nAnswer: 6993442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 33, 3, 938, 543, -1 in increasing order.\nAnswer: -1, 3, 5, 33, 543, 938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -611 - -1281. Let v be 11367\/(-17) - (7 + -5). Let b = v + k. What is the common denominator of b and -19\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 6*n + 24 - 21 + (1 + 0 - 3)*(4 - 4 - 2*n))*(0 + 119*n - 7 + 7).\nAnswer: 1428*n**2 + 357*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-218)*1377\/(-4590)*(-5)\/(-6).\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-26)\/(-18) - 40\/90. Let u be a\/(-4 - 72\/(-20)) + 10. Solve -u*c - 6 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 3 (c) -7\/2 (d) 118 (e) 2\/13 (f) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 39751 + 11661 = 17774. Does 147 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1561 + -1556. Let r be 2\/((3 - 0) + -2). What is the biggest value in g, r, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 79\/2. Let y = 0.56 + 0.04. Which is the third biggest value? (a) n (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195612853181\/2926 + -66853334. Let a = -14\/209 + c. Are a and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b52229 + -2?\nAnswer: -3b5222b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ucjjncnucucjjjn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -171 + -1?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 47*o + 2. Let i(n) = -91*n - 4. Determine -6*i(w) - 13*x(w).\nAnswer: -65*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Let l(k) = 252*k - 148. Let g be l(19). Suppose r*w = 8*w - g. Round w to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 43 - 64 - 434*l.\nAnswer: -434*l - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 4*t - 958. Let f(a) = -a. Let l(k) = -c(k) - 3*f(k). Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 355 + -553. Let a be (-4)\/(-22) - (-102)\/c. Sort -3, -1\/2, a in increasing order.\nAnswer: -3, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -523 (base 11) to base 15\nAnswer: -2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(1900))*1.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1017*f**3*y**2 + 3*f**2*y**3 - 6*y**3 + 844*y**2 - y wrt f.\nAnswer: -3051*f**2*y**2 + 6*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 3*b - 4*b - 3*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001573325 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgllllllgll. What is prob of sequence lgg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 - (-4)\/14. Suppose -8 = y + 4*j, -y + v*j + 2*j = -10. Let z = 0 - y. Let d(a) = 2*a + 4. Give d(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/9 + 29*v**2\/3 + 62*v\/3 - 712\/9 = 0. What is v?\nAnswer: -4, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18184, 18190, 18196, 18202, 18208, 18214?\nAnswer: 18220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 2*j - 4. Suppose -5*n - 12 = 13. Let c be g(n). Suppose 2*s - 8 = 0, 83 - c = 4*b + 2*s. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -45*b + 331. What is the greatest common factor of b and 110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6135.526 minutes to microseconds.\nAnswer: 368131560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4832 + -23\nAnswer: -4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.09817 * -1\nAnswer: -0.09817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Suppose 0*c = 2*c + d*z + 21, 2*c + 2*z + 12 = 0. Let o be (-32)\/80 + 38\/70. What is the third biggest value in c, o, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from rjjfffn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -3.9431667.\nAnswer: 19.7158335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -86*t + 5633. Give n(65).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {z: 2, h: 1, j: 5, e: 3, i: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 3*z**3 - 13 + (0*z**3 + 0*z**3 + 2*z**3)*(4 - 1 - 1) + 2*z**3 + z - z - z**3 - z**3 + 4*z**3 + 3*z**3 + z**3 - 3*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20163 - 4?\nAnswer: -20167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -5, 5, -4, -1 in descending order.\nAnswer: 36, 5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5090*a**2 - 22*a**4 + 5066*a**2 - 44*a**3 + 6*a**4 + 4*a**5.\nAnswer: 4*a**2*(a - 6)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1087 + 1890. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 84*t**2 - 4*t - 7. Let p(r) = -170*r**2 + 9*r + 16. What is -9*j(o) - 4*p(o)?\nAnswer: -76*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -168.61 and 15.5.\nAnswer: -153.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 511.9627 + 0.0373. Let y = k - 512.4. Is -2\/11 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 32?\nAnswer: -11\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20533152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1276 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*14.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + -1001110010010?\nAnswer: -1001101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 2. Let j = -20 - -20. Sort j, -0.4, g.\nAnswer: g, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -1.2 (b) 1\/2 (c) 2 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*6\/(-21)*(0 + -721). Let y = c + -614. Sort -4, y, 0, -1 in descending order.\nAnswer: y, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -3a?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 6:26 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.285 - 71462.\nAnswer: -71462.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 24*r**2 + 65*r - 441. Let c be q(-27). Let v(y) = 3*y**3 + 27*y**2 - 2*y - 10. Determine v(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41733 + 41735. Is 4098 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5733557813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 5*d**2 - 2*d**2)*(-d**3 - 4*d**3 + 4*d**3) - 39*d**5 + 38*d**5 - 28*d**5.\nAnswer: -31*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Let r = 187.7 + -174. Let s = r + -14. Which is the biggest value? (a) -0.2 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -84*b**2 + 89*b**2 + 152*b - 462*b = 0?\nAnswer: 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82555733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - r + 16, -118 = -2*i - 2*r. Let z = 95 - i. What is the remainder when 154 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.441 rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k\/(k\/k**(-13))))\/k)*k*k**(-2\/3))\/((((k*k*(k**(5\/4)\/k)\/k)\/k)\/k)\/((k\/k**(-8))\/k)) assuming k is positive.\nAnswer: k**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/(-7) - 1*-6. Which is greater: 6\/29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*o + y, 2*o + 4*y - 2*y = -4. Solve -144*b + o*b**3 - 17 - 175 - 3*b**3 - 36*b**2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from cmvvmmmccvcvmm?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 321 + 1719. Let h = u - 102. What is the remainder when h is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 5, 2\/47, 2\/5, -8?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250654647 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 0*q**3 + 400*q + 0*q**3 + 166*q - 109*q to n*q**3 + c + y*q**2 + p*q and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*p - 582 = 0, -4*y + 14*p = 17*p - 461. Calculate the greatest common divisor of 16 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10146*p = 10072*p + 1036. Which is the nearest to -39? (a) p (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -693*u**3 + 26 + 3*u - 2*u - 28 - 2*u**2 + 496*u**3 as h*u**3 + v + t*u**2 + x*u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rffr when four letters picked without replacement from rfrffffffrffffff.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 minus -121353442?\nAnswer: 121353381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 + 32*n**2 + 606 - 604 to g*n + m*n**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12043*j + 158. Is w(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*s + 34 = 110, 0 = -5*t + 4*s + 92. Calculate the remainder when 92 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 9*w**2 - 8*w + 3. Suppose -g + 24 = -4*g. Let l be n(g). Solve -p + 17 = 3*y + 3, l*p - 21 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 7, -2, -5 in ascending order.\nAnswer: -5, -2, 7, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 - 307. Round q to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x + 4 = -3*f, -2*x - 2 = -4*f. Let g be x*((-6)\/(-8))\/(66\/(-44)). Which is the nearest to g? (a) 0.4 (b) -1\/4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86789.\nAnswer: 59, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 122 - 11 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -16. Let f(p) = p**3 + p**2 + p - 7. Let n be f(x). Does 13 divide (-13)\/(-3)*(13 + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 21129*d + 105677. What is i(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248 - 247.9996. What is r rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 - 18*c**2 + 9*c + 29. Let j be o(5). Which is bigger: j or -22\/51?\nAnswer: -22\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = -3*j. Sort 5, j, -2 in increasing order.\nAnswer: -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5882 = 5*k - 7*k, 4*d = 5*k + 5861. Suppose 0 = 10*p - d - 901. What are the prime factors of p?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 14. Let p = b - -12. Suppose t = 5*i + 22, t + i = -p*t + 22. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = b + 18*n + 10, -b = 3*n + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**3 + 3. Let d(h) = -h**3 - 1. Determine -6*d(o) + v(o).\nAnswer: -o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let x(u) = 4712*u. Determine x(h(p)).\nAnswer: -9424*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16664 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*2)\/(-3*(sqrt(10)\/sqrt(5) + sqrt(2) + sqrt(2))).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -960 + 3739. Suppose -k = -4*y + 673. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -15. Suppose 2*r + c + 18 = -2*r, 4*c + 20 = -3*r. Let j = -1 - r. Calculate the least common multiple of j and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551071829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.13342 times 5\nAnswer: 0.6671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28402 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 + -0.236\nAnswer: -0.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**3\/3 - 2*z**2 - 3*z + 20. Suppose -11 = -4*u - 3. Let a be (-2)\/1 - (-9 + u). Give b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, 3\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1354817*s**4 + 1236730 with respect to s.\nAnswer: 5419268*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10. Let w(s) = 6*s - 249. Let c(k) = 2*i(k) + w(k). Determine c(39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65660.1 + 65659. Let j = 2 - 5. Which is the second smallest value? (a) o (b) j (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 2. Let f be w(0). Suppose -10 = 2*z, -t + 0*t - 14 = f*z. Let s be 1318\/4 - t\/8. What is s rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -298*r**2 + 2546*r - 906. What is t(8)?\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -175. Let g = h - -162. Is g bigger than -2\/1993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 70 = i. Suppose 5*z - 3*k + 10 = 0, 4*z - 2*z = 3*k - 13. Sort z, -4, i in ascending order.\nAnswer: -4, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + sqrt(5) + 1 + sqrt(5) - (sqrt(5) - sqrt(125)*1))**2 + 5 + 3*(sqrt(5) + 2)**2.\nAnswer: 72*sqrt(5) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -94?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {w: 4, d: 2, h: 3, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (4 + -15)) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-107 + 705 + 49)*(-t - 3*t + 5*t) to the form q + b*t and give b.\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6059 or 6054?\nAnswer: 6059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 = -n. Suppose -n*f = -26 - 127. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 4)*(3*p**3 - 7*p**3 + 3*p**3) + 52*p - 97*p - p**3 - p to the form z*p**2 + o*p + q*p**3 + h and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)*l)\/l*l*l*l**(2\/49)\/l*l**(-5\/11)\/l*l\/l**(14\/5) assuming l is positive.\nAnswer: l**(-6736\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 8*z**2 - 13*z + 37. Let s be k(7). Let p = -191\/4 - -48. Which is the smallest value? (a) -6\/11 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from mmmlmnmmmnmmlmm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + u + 9*u**3 + 1 + (-1 + 3 - 3)*(2*u**3 + 0*u**3 + 0*u**3) + 65*u**3 - 416*u**3 - 66*u**3.\nAnswer: -410*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.22 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198376 is divided by 1183?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 603.442 and 0.43.\nAnswer: 603.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11359 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*(-25)\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*3*(-28)\/(-42). Let m(z) = 38*z + 143. What is the remainder when m(v) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000814 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40513, -81895, -123277, -164659, -206041, -247423?\nAnswer: -288805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h, 3*u - 4*h - 18 = -2*u + 2*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20542, 20543, 20544?\n\"Answer: b + 20541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -230142 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 23 + 21 + -2 + (11 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 6:04 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -109*o + 341. Let g be k(3). Solve -g*m + 12*m - 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56406 and 7421418?\nAnswer: 51949926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {d: 2, y: 2, j: 4, p: 7, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/5 + 588*w**2\/5 - 28812*w\/5 + 470596\/5.\nAnswer: -4*(w - 49)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 6. Calculate the lowest common multiple of k(9) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134562727.\nAnswer: 13, 10350979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120130 + -2222310?\nAnswer: -3003100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -701a246 (base 11) in base 6?\nAnswer: -1122222242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/105 + 17*m**6\/10 + 1244*m**5\/15 - 520*m**4 - 21632*m**3\/3 - 7698*m**2. Factor z(p).\nAnswer: 2*(p - 4)*(p + 2)*(p + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 729 - 730. Put -0.4, 0.21, j, -0.1, -2 in decreasing order.\nAnswer: 0.21, -0.1, -0.4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*w**2 - 140*w**2 - 112*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = -3*k - 0*x - 5*x, 0 = -2*k + 4*x - 108. Let l = k - -102. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19495 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {p: 1, y: 6, c: 2, s: 1, b: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 19543330*z + 19543325.\nAnswer: 5*(z + 1)*(z + 3908665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20)*6)\/sqrt(10).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -0.5, 4, -2\/3, -2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*a - 4*k, -97*a + 93*a = 5*k + 25 + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 599078*o**4 - 567372?\nAnswer: 2396312*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 6991085*t + 6991090.\nAnswer: -5*(t - 1398218)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, -194, -859, -1790, -2987, -4450, -6179?\nAnswer: -8174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9.4. What is the closest to -1 in -2, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12361\/75998 + -1\/2054. Let h = l + 25\/74. Determine m, given that m - 1\/2*m**2 + 0 - h*m**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, 5.\nAnswer: -19, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/22045?\nAnswer: 2\/22045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 37. Suppose -5*a - 7*m - 5 = -2*m, 2*a - 2*m = 14. Factor 0*v**3 + 2*v**3 + 6*v**3 - 5*v**a - 3*v**q.\nAnswer: 3*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -12*s - 2465. What is the highest common divisor of s and 4495?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -11\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1 + f)*(24*f - 1 - 31*f + 34*f) as z*f + g*f**2 + l and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122.693 + 0.307. Let d = 129 - o. Let m = 60 + -361\/6. Which is the second smallest value? (a) m (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -522*s**6 - s**3 - 30*s**2 - s - 10?\nAnswer: -62640*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9096 divided by 5602?\nAnswer: 4548\/2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000305 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 89*x - 87*x + 2*b, 0 = 4*x - 2*b + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -19. What is the remainder when 14 is divided by (5\/15)\/(r\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2\/9 - 24322*a\/9 + 24314\/9.\nAnswer: 2*(a - 1)*(4*a - 12157)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqggjmgmmmmqqjf. What is prob of sequence qgq?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let x = -92 - -113. Suppose -5*s - x = 24. Sort -1, s, j in increasing order.\nAnswer: s, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - 5*a - 2. Let d(n) = -10*n**2 - 26*n - 10. Let j be (-90 - 1)\/(35\/15 + -2). Let w = 257 + j. Give w*y(v) + 3*d(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 254 and 21463.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9598*r**2 + 32*r**3 - 9598*r**2)*(2*r - 5 + 3 + 1).\nAnswer: 64*r**4 - 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/3 + 5\/15. Suppose -4*c + 4 = -4*d, 5*c - 14 = -0*c + p*d. Let r(h) = 2*h**3 - 4*h**2 - 2*h + 4. What is the tens digit of r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -344 - -392. Which is bigger: 41 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1569, 12153, 40527, 95475, 185781?\nAnswer: 320229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -8.3.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 6:19 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/2 - 51*i\/2 - 27 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 756682 and 3812.\nAnswer: 1513364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/8 + s**3\/2 + 2*s**2. Let x be q(6). Suppose 3*i + 4*h = x, 6 - 41 = -5*i + 3*h. Solve -i - 2 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 31*z + 2. Suppose -v - 1 = -5*t + 9, 4 = 2*v - 2*t. Suppose -v*h = -h + 24. Let o(r) = -16*r - 1. Let i(p) = h*s(p) - 11*o(p). Give i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -652?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2690631776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/5 (b) 2 (c) 1\/4 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/(-15573))\/(625\/(-750)).\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 242314430?\nAnswer: 242314412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -39aa5 (base 13) in base 12?\nAnswer: -52101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {t: 3, i: 3, c: 3, j: 1, m: 2, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 2*g - 6. Suppose 2*b + 2*b - 72 = 0. Let d = 25 - b. Is x(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18 + 7*r - 6*r - 21. Let f be 13\/3 + (-16)\/(-24). Let m be w(f). Calculate the greatest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 8 - 28 = 0, u - 12 = 4*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10421 + 364694\/35. Let w = -5878 - -293943\/50. What is the common denominator of p and w?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1447 divide 67334698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1748*k**3 + 2327*k**3 - 568*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 5. Let k(p) = p + 4. Calculate 5*g(z) - 6*k(z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10367, -20742, -31117, -41492?\nAnswer: -51867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.4 - -0.3.\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10947410 - 2212.7225.\nAnswer: -10949622.7225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/12 - g**3\/6 - g**2\/2 + g. Let m(p) = -8*p**2 + 8*p + 10. Let b(y) = -m(y) - 6*q(y). Determine b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2903323 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 1302.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 13354?\nAnswer: 267080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*r**3*u - 1319901*r**3 - 4249*r**2 + 21043*r*u wrt r.\nAnswer: -714*u - 7919406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -53224762 (base 8) to base 11\nAnswer: -64512a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -46*d**2 + 8391*d + 13425. Calculate x(184).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2005*h - 3418*h - 2049*h + 10*h**3 + 7472*h.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = -11*s + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3311191 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, 24, 2.\nAnswer: -25, 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 + 4. Let k = m + 0.3. Which is the nearest to 2? (a) 1 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 8) to base 5\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 860034182 to the nearest integer?\nAnswer: 29326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87610 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-21)\/70)\/(18\/(-492))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -446.1 - -446. Which is the nearest to -31? (a) 1 (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.581771 rounded to two dps?\nAnswer: 3.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294)\/sqrt(7))\/sqrt(6) + sqrt(7) + 0 + 3 + (sqrt(56)\/sqrt(2))\/sqrt(4))**2.\nAnswer: 18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 476624 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*h**3 + 5*h - 16*h**2 + 416*h**3 - 3*h + 16*h**2.\nAnswer: 11*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 12. Let v be (13 - (37 + -7))*-1. Determine q(v).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 3*a**2 + 7*a - 5*a + 13 to the form m*a**2 + n + l*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 7*f + 22. Let c be x(9). Suppose -c*v + 4*n + 88 = 0, -v - 2*n + 4*n = -25. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -36. Suppose -12*o - 96 = -c*o. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/7 + 30*u**3\/7 - 108*u**2\/7 + 114*u\/7 - 39\/7.\nAnswer: 3*(u - 1)**3*(u + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20620 (base 11) to base 4.\nAnswer: -13111032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -459606 - -1003829. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 21 - 21)*(5*z**3 - z**4 - 5*z**3)*(-3 + 4 + 0).\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-233 - (-55 - 66))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 2827?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(-3*z**2 + 4*z**2 + 2*z**2) - 2*z**2 - 4 + 4 + 16*z + 28*z**2 - 11*z - 7*z to q*z**2 + h + m*z and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-45)*(165\/(-63))\/(-11)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23028270.\nAnswer: 2, 3, 5, 113, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 946665 + -36904. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.57 + -23.6. Let u = g + 0.03. What is the third biggest value in u, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*u**4 + 20*u**3 - 20*u**3)*(-2*u - 770 + 5*u + 771).\nAnswer: -48*u**5 - 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -482.45 + 460. Let i = v - -22. Round i to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*o - 16, 0 = v + 2*o + 3*o + 16. Let f = 15 + v. Let k be ((-6)\/(-8))\/(4 + -5 - -4). Which is the nearest to f? (a) 1\/3 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18923838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -9\/4, -10.3, 8\/7, 0 in increasing order.\nAnswer: -10.3, -9\/4, 0, 8\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -22*b - 5. Let s be h(-1). Suppose -6*j - 13 - s = 0. Let x(d) = 2 - 6 - 2*d + 0*d. What is x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - 2*(-4 + (-11)\/(-2)). Let n be (-2255)\/630 + 13 - (-4)\/18. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*s - 5 = -168, 0 = 2*i + 3*s - 102. Calculate the greatest common factor of 2793 and i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let k(f) = 87*f - 5. Give k(u(i)).\nAnswer: 174*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.41073 grams to tonnes.\nAnswer: 0.00007241073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5014412974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = 6*c - 28, -3*g = -2*c + 20. Solve 2 + 0 = -5*z - 3*u, 0 = -2*z + 2*u - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(12) - (0 + sqrt(12)))**2 + (-1 + sqrt(48) - sqrt(3)) + (-4 + 4*(0 + sqrt(75) + sqrt(75) - sqrt(75)) + -1)**2.\nAnswer: -197*sqrt(3) + 1223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from znnzvvnnzz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.58329158 rounded to two decimal places?\nAnswer: -26.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/17*(-1)\/3\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2470bb (base 12) to base 16.\nAnswer: -90bcf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85be + 18?\nAnswer: 85d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2503 < -2503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 28 + 81)*(-2*g + 0*g + 3*g)*(3*g**2 + g**3 - 3*g**2) as l + j*g**2 + z*g**4 + y*g + v*g**3 and give z.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2\/2 + 295*v\/2 + 2035 = 0?\nAnswer: -37, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -359732 and -359730 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2 - (-63 + 0). Suppose 4*o - 3*x = 54, -5*o + l = 4*x - 18. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/28272 and 11\/744?\nAnswer: 28272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 - 4*z - 575. Let c(h) = -2*h**2 - 2*h - 288. Determine 4*b(x) - 9*c(x).\nAnswer: 2*x**2 + 2*x + 292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 328*b + 3. Let y(j) = -331*j - 4. Determine 4*y(f) + 5*z(f).\nAnswer: 316*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 98*r**3 - 124989452*r**2 + 71422520*r - 10203216 = 0.\nAnswer: 2\/7, 1275402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3\/4 - 19197*v**2 - 491289615*v\/4 + 491443203\/2 = 0.\nAnswer: -12799, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 64*i - 90174 = 0. What are the prime factors of i?\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2349, 0, -5, 23 in decreasing order.\nAnswer: 2349, 23, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 7*l**2 + 2*l + 16. Suppose -8*x + 4*x - 4*r = -12, -4*r = x + 9. List the prime factors of j(x).\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 7.1, 0.3, 6, -3\/7 in ascending order.\nAnswer: -3\/7, -0.1, 0.3, 6, 7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/7, -78, 2\/21, -2\/81?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g - 780*g**3 + 8*g**2 + 3*g + 8 + 3*g**2. Let c be f(-8). What is c rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k*k*k**1\/k*k*k*k))*k*k**12)**2)**(-3\/2) assuming k is positive.\nAnswer: k**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2338 + 2351. What is the lowest common multiple of 29 and b?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**7\/1680 - g**6\/240 + g**5\/30 + g**2. Let l(c) be the third derivative of q(c). Differentiate l(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)*(-4)\/14. Let g be (-33)\/(-6) + -5 - (-3)\/6. What is the second smallest value in p, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123724 divided by -2\nAnswer: 61862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.694 to 3 decimal places.\nAnswer: -0.694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-8))\/(84\/24).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1763321 or -1763495?\nAnswer: -1763495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8136535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -78. Let z = -73 - v. What is the nearest to 5 in 1\/9, z, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -108 and -0.107871?\nAnswer: 11.650068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2601579*a**2*d**2 + 4*a**2 + 7105*a*d**2 + a - 99*d**2 - 3*d wrt a?\nAnswer: -5203158*d**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -4*o + 22, -3*i = -5*o + 29. Solve o*b + 58 - 38 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -52*o + 26 - 121\/3*o**3 + 0*o**2. Differentiate r(h) wrt h.\nAnswer: -242*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*l - 83*l + 41*l)*(540 + 18*l**3 - 540).\nAnswer: -252*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/4 - 511*h**4\/2 - 27235*h**3\/4 - 3481*h**2 + 78600*h = 0.\nAnswer: -25, -4, 0, 3, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put -92, 2, 3, -3 in decreasing order.\nAnswer: 3, 2, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00336417 to 5 dps.\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -47677*p. Let v(l) = -215*l. Give g(v(c)).\nAnswer: 10250555*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25831056 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/120 - 2*y**5\/15 - y**4\/3 - 2*y**3\/3 - 7*y**2. Let o be (-1*1)\/((-6)\/54). Let l be v(o). Solve 0 = -l*g + g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*s - 9, 4*i + i + 5*s = 35. Let v = -14 + 34. Calculate the remainder when v is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -817.981 - 0.019. Let w = 832.48 + i. Let q = w - 13. What is q rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/133484 and -61\/6317948.\nAnswer: 954010148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from zzww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 532 = n - 500. Let d(i) = -i - 4. Let l(a) = 1. Let t(z) = 5*d(z) + 15*l(z). Give t(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 30*s - s**2 - 1 + 31*s - 4*s**2 + s**2. Let n(f) = f**3 - 2*f**2 - 9*f + 4. Calculate 4*h(g) + n(g).\nAnswer: g**3 + 2*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11343690 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-99)\/(-12) - 2\/8. Let u be 6\/1*g\/6. Let z(m) = -3*m**2 - u*m**2 + 9*m**2. Let i(v) = 8*v. Calculate i(z(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.0241727 nanoseconds to weeks.\nAnswer: 0.00000000000012570134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333608 (base 10) to base 14.\nAnswer: 89812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19300.639 and -25243?\nAnswer: 5942.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-100)*(-7975)\/(-580)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29\/(29\/(-84)) + 1 + 2. Let s be (66\/(-9))\/(54\/c). Solve s = 4*g - 5*h - 6, -g = 3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (19 - 20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5601054 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68)\/sqrt(16) + sqrt(170)\/(sqrt(40)\/sqrt(4)))*-1 - ((sqrt(2057) - sqrt(2057)*4) + -3 + sqrt(2057) - 4*sqrt(2057)*4)**2.\nAnswer: -666478 - 2379*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t**2 + t**2 + 5*t**2)*(2*t**2 - 5*t**2 + 4*t**2) + 3*t**4 + 6*t**3 - 6*t**3)*(0 + 3 - 1)*(1 + 3 + 1).\nAnswer: 50*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3026*d = 3586*d + 396720 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*n - 57 = 0, -706*z + 696*z + 70 = -5*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 9*g**2 + 5*g - 22. Let o be i(-8). Suppose 2*p + 3*x = 2*x + 415, 5*p - 1038 = -o*x. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3080 - (18\/2 + -1)*(-9)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:28 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -19. Is -0.02 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -539 (b) 2\/11 (c) 1145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 34+257846.6986\nAnswer: 257880.6986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) + 0)*-3 + (-5*(sqrt(1200)*-1 + sqrt(1200)) - sqrt(1200)))**2 - (1 + -6*((1*sqrt(1200) + sqrt(1200))**2 - sqrt(1200))).\nAnswer: -120*sqrt(3) + 47999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198638 is divided by 64.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 655330?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4087 (base 10) to base 3\nAnswer: -12121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * -0.15\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.3689 - 0.3.\nAnswer: -9.6689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/(((c\/(c*c**1*c))\/c)\/c*c)))\/c)**(18\/11)\/(c**(-1\/4)*c*c\/(c\/c**(-1\/3))*c) assuming c is positive.\nAnswer: c**(-835\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 194b0 (base 12) to base 11\nAnswer: 25883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2b18855 (base 12) to base 6\nAnswer: -511233345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 354 - 343. Calculate the highest common divisor of b and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11684 is divided by 1947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3, -2, 356, -78, -5 in increasing order.\nAnswer: -78, -5, -3, -2, 0, 3, 356","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyd when three letters picked without replacement from gdydydyg.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1099 - 2240. Let p be 0 - (-21)\/(-6)*(-1)\/f. Are p and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(30)\/sqrt(5)) + 1*2*sqrt(35))\/(5*sqrt(7)*-1 - (sqrt(21) + -2*sqrt(21))\/sqrt(3)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.6 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 - p**2 + 2*p. Let h(c) = 3*c**3 - c**2 + 3*c + 1. Suppose -9 = -12*v + 15*v. Give v*s(u) + 2*h(u).\nAnswer: -3*u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92098 (base 11) to base 13.\nAnswer: 49311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) 0 (b) 0.5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 1*-2*2. Suppose -4*m + l*m = 12. Is 4 a factor of (m\/(-7))\/((-2)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/u**4)\/u)*u**(-1\/2))\/(u**(-5)*(u*u\/u**1)\/u))\/(u**6\/(u\/u**0)*((u*u**(-1))\/u)**(6\/7)) assuming u is positive.\nAnswer: u**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5453 (base 8) in base 16?\nAnswer: -b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/7 - 2864*l**4\/7 - 634364*l**3\/7 - 37862304*l**2\/7 + 77639166*l\/7 - 5591376 = 0.\nAnswer: -1176, -129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 538, 535, 532, 529, 526, 523?\n\"Answer: -3*m + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6351 + 6351.3723. Round q to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/581 and -47\/5810?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7377.417 centuries to decades.\nAnswer: 73774.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j**2 - 5*j + 6. Let v(m) = -m**2 + m - 1. Calculate -t(d) - 6*v(d).\nAnswer: 17*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/7)\/z)*z)\/z*z\/(z*z*z**4*z))\/(z**5\/z*(z\/z**(-3\/2))\/z) assuming z is positive.\nAnswer: z**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(-15)\/10 + (-1056)\/(-540).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -32*w. Let u(r) = -5*r - 24. Let j be u(-7). Let s(f) = j*f - 4*f - 6*f. Give s(p(l)).\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-81)*(-9)\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3283 at least -3286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.732 - 0.178. Let y = o + 0.81. Suppose 2*l + 4 = -6. What is the nearest to 1\/3 in y, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 + 7*w - 6. Determine m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 11*t**2 - 43*t - 42. Differentiate i(l) with respect to l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w + 2*v + 32, -5*w + 74 = v. Suppose 0*d - w = -d. What are the prime factors of 1 + (d*1)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*r + 227*r - 70 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -3.5?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 26 = -4*t, 2*k - t - 13 = 13. Suppose -23968 = -45*c + k*c. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -1)\/(-1)*(-942242)\/2996 is divided by 150?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9606*h = 9591*h - 510 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 6*n - 4. Let s be i(4). Suppose r + r = -5*j + 104, s*j = -2*r + 84. Suppose p + j = -3*p, 41 = 3*o - p. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1056)\/600 - (-4)\/1 and 9\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (6 + 3 - (108 + -114))) + -55 + -1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/10 + g**3\/6 - 4*g**2. What is c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 10*p**3)*(2 - 2 + 1)*(4 - 2 - 1).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3 + 3)*(3 - 1 - 4)*(34 - 2*a**2 - 34).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Suppose -4*u + 9 = -u. Let b be 0*3\/(-6) + -1. Sort y, u, b in ascending order.\nAnswer: b, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 99\/21 - 1. Suppose 8*w - 3*w = -20, 6 = -2*h - 2*w. Let i be (1\/(-3))\/(h\/3). Which is the second smallest value? (a) 5 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d**2 - 2*d**2 + 40*d - 13*d**2 + (0*d + 0*d + d)*(d - 3*d + 0*d) + d**2 + 2 - 2 in the form h + f*d + w*d**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*-1*(sqrt(75) + 2*sqrt(75) + 1 - (3 + 1 + sqrt(75)))*-2)**2.\nAnswer: -1236 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83.4 - -116. Let c = d + -32.8. Let j be (0 + 2)\/(1\/(-2)). What is the second biggest value in j, -1\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143.6 + 9.4. Let t = i - 174. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**3 - 27*u**2 - 2*u - 3. Is f(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001788 - 1693882?\nAnswer: -1693881.998212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:55 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-2 - 3)) + 25. Suppose v - 5*v = -d. Calculate the greatest common divisor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 38. Let i be (-45)\/a*442\/82. Let n = i + 3\/82. Find the common denominator of n and -1\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 7*l - 6*l + 11*l - 12*l to c*l + j + m*l**3 + d*l**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x + 1334408 = -3162007. Suppose -43*k + x = 23273. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*i**2*t**2 + 7*i**2 - 21*i*t**2 + i + 9*t**2 wrt i.\nAnswer: 56*t**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-12)*(-144)\/189)\/((-6)\/105).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -592 - 86?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2219 - 1542 - 1057 - 83*s - 17*s with respect to s.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.007 and 115.3729287.\nAnswer: 115.3659287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 + -0.86. Let d = i - 4. Let l = -0.887 - 0.113. What is the third smallest value in d, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * 0.4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6*4*15. Suppose 0*g = -4*g + h. Let n = 8 + -4. What is the remainder when g is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 22*q - 40. Give j(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 4*a)*(-120*a - 312*a + 3229*a).\nAnswer: -2797*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3453 + -163. Round b to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 4*t + 40, -5 = t. Suppose -5*y + k*y = -1. Is ((-5)\/(-10))\/(y\/586) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 53 = 4*a + v, v = -a + 14. Suppose a*w = -51 + 246. Solve -30*y - w = -27*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2 + 2518720*w - 396496902400 = 0.\nAnswer: 314840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 6\/((-18)\/15). Is -1\/40 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8125 - 6646 = -25*t - 28971. Is -1214 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197785, -395571, -593391, -791263, -989205, -1187235?\nAnswer: -1385371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d - 24. Determine x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3888))\/(4*sqrt(81)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -454? (a) -5 (b) -0.0003 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 25 - 4 = 2*o, -77 = 3*q + o. Let x = 28 + q. Suppose 3*r = x*m + 5*r - 393, -5*m + 2*r = -655. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1980)\/(-70) - (-4)\/42*-3. What is the highest common divisor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 26. What is the nearest to -1 in -1\/4, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Let c(l) = -6*l - 4. Determine -c(g) - 2*o(g).\nAnswer: 8*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 227356735, 227356737, 227356739, 227356741?\n\"Answer: 2*t + 227356733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose a*l - 4 = 2*l. Solve -3*z + 5*n - l = 0, 3*z - 2*n + n + 10 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 7*f**3 + 13*f**3 - 2*f**3.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 + 1) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4704 by 147.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Suppose -2*t - 10 = 0, -3*f - 2*f = -5*t. What is the least common multiple of f\/y*1*-4 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 40 = -6*l + l, 3*l - 18 = -68*y + 73*y - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 865.8103mm in kilometers?\nAnswer: 0.0008658103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -210205841718.\nAnswer: -210205841717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 18*t**2 - 124*t + 2408. Let m be y(17). Let i = 81 + -26. What is the greatest common divisor of m and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -0.002, 3\/7, 4 in decreasing order.\nAnswer: 4, 3\/7, 0, -0.002, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12286 - 61429\/5. What is the third biggest value in 1.4, s, -6.23?\nAnswer: -6.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*a + r + 3*r, a + 5*r = 24. Let b(u) be the third derivative of 0*u + 7\/24*u**a - u**2 + 0 - 4\/3*u**3 - 1\/60*u**5. Give b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 12. Is -20 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2221002120 + 32?\nAnswer: -2221002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-354)\/(-3245)*4*22\/(-32).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:28 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 210 = -3*f. Let l = -124\/3 + f. Factor 2\/3*o - l*o**3 + 0*o**2 + 0.\nAnswer: -2*o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 18, 46, 96, 174, 286, 438, 636?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -471\/160 + 44\/15. Find the common denominator of l and 31\/624.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6351*w. Let y(b) = 1798 - 926 - 872 + 2*b. What is y(a(h))?\nAnswer: 12702*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12045 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 140.819 and 303498.6.\nAnswer: 303639.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v = 30 + 438 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 262260 - 0.116697296?\nAnswer: 262259.883302704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99\/4 + 25. Let r = -40857 + 40862. Which is the biggest value? (a) x (b) r (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z - 160. Let v(m) = -3. Determine -5*v(t) + w(t).\nAnswer: 8*t - 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -452 (c) -791 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:36 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 517 - 552 - (0 + -18)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2744 - 2744. Solve 3*f - 4*i = -2*i - 2, 3*f + i - 10 = l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**1*t\/((t**(-8)\/t*t)\/t))\/((t*t**(6\/13))\/(t*((t**9*t)\/t)\/t)))**17 assuming t is positive.\nAnswer: t**(4318\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) + 35\/(-4). Let k(p) be the third derivative of 2\/15*p**5 + 0 + 1\/120*p**6 - 2*p**3 - 226*p**2 + 0*p - 11\/24*p**4. What is k(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**4 + 2*d**3 - 2*d**2 + 53*d + 1. Let a(t) = -t**3 + t**2 - t - 1. Let z(x) = 2*a(x) + h(x). Differentiate z(q) wrt q.\nAnswer: -4*q**3 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:14 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeleivivvivvgvlviiv. Give prob of picking 2 l.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112759.8ml in litres?\nAnswer: 112.7598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w**(1\/6))**(5\/16) assuming w is positive.\nAnswer: w**(65\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = 586887. Let t = j - -396707. Suppose -2*i + 467664 = -t. What is i rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*i - 11 = 0, -31792*v + 31797*v = 5*i + 23 + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3 = -6*y + 3*y, 3*a = 0. Let c(r) be the first derivative of -3*r**4\/2 + r**2\/2 + 1. What is the units digit of c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180838\/15 - -12056. Which is the closest to -0.2? (a) 8 (b) 4 (c) 3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1245557 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 2. Let d be (6\/(-9) - -1)*12. Calculate m(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8897*h + 8928*h = -558 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 11 + 5 = 0. Let o be n - 60\/(0 - 6). What is the highest common divisor of 12 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23707*u**3 + 23716*u**3 - 47412*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(((g\/g**(-2\/7)*g)\/g)\/g)*g)*(g\/(g\/(g*g**(-3\/2)*g)))\/g)\/((g\/g**(-1\/4))\/g**(2\/3)))**(-15\/8) assuming g is positive.\nAnswer: g**(755\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 divided by 473?\nAnswer: 1557\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8))\/((-9)\/(-24)). Let g be 3*((-11)\/429)\/(1\/(-2)). Sort d, g, -3\/7.\nAnswer: d, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627890867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.53 - -4476\nAnswer: 4475.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven halves of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*h**3*u - 9*h**3 - 7164777*h**2 - 8698077*h*u wrt u?\nAnswer: 11*h**3 - 8698077*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:23 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -34. Suppose 42 = 4*g + 3*a, -g - a + f = 2*a. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 102*a**3 - 511*a**2 + 4*a + 8. Calculate the least common multiple of 26328 and m(5).\nAnswer: 26328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**(-17))**(-1\/43) assuming t is positive.\nAnswer: t**(34\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/11 - 40\/11*x**4 + 4*x**2 + 6\/11*x**3 - 6\/11*x = 0.\nAnswer: -1, -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1827, 7\/13, -1, -2\/11 in decreasing order.\nAnswer: 1827, 7\/13, 2\/13, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 + 3*m**5 - 4*m**5 + (-3*m**2 + 5*m**2 - 5*m**2)*(1 - 1 - 6*m**3).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + 194. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**3 - 2*u**2 - u - 4. Let y(t) = 5*t**3 - t**2 - 3. Let p be (-4 + 2)\/((-2)\/(-3)). Give p*j(s) + 4*y(s).\nAnswer: 2*s**3 + 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2775798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/5, 4, 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22976\/3 + -7659. Let h = 1 - 2. What is the nearest to l in 1\/6, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/84 - (-25781)\/403564?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -12*s**2 - 26*s + 16. Let g be v(8). Let u = g + 6740\/7. Solve 8\/7*z + 36\/7*z**3 + 4\/7*z**5 + 0 + 4*z**2 + u*z**4 = 0 for z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204125 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 n(a) = a**2 - 4*a - 1. Let u be ((-4)\/(8\/(-10)))\/1. List the prime factors of n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14474\/12 - (-15)\/(-90). What is the derivative of 1233 - l - 2*a**2 + 4*a**2 + 2*a wrt a?\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/5 + 58 + -4. What is the greatest common divisor of v and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -11 + 6 + 2 + (78 - -1) is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-15 - 0)) + -12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:12 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15018384 divided by 1488.\nAnswer: 10093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 17 + 24. Let f = -2 - -5. Suppose 0 = a + f*a - 112. What is the greatest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13435716 is divided by 281?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-4)\/(-6) + -8. Let w be (m*2\/3)\/(-6). Suppose -2\/3*c**2 + w*c + 0 + 2\/3*c**4 - 2\/3*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(500) + sqrt(500)*2)**2 + -1*sqrt(405) + sqrt(5).\nAnswer: -8*sqrt(5) + 4499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/(-6) + (-2)\/3. Suppose 3 = 13*y - 10. What is the closest to y in 11, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146758 or 0?\nAnswer: -146758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185181033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0*b**2 + 2*b**2)*(3 + 4 - 6) + 2*b**2 - 2*b + 9*b**2 + 2 - 2*b**2.\nAnswer: 10*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8977 at most 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 261411 * 0.03\nAnswer: 7842.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:14 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/9 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5566 + -0.55667845. What is n rounded to six decimal places?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -49. Find the common denominator of 2032\/144*(x - (-6)\/(-4)) and 10\/25 - (-482)\/220.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27411 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 29. Let b(h) = -4*h**3 + 17*h**2 - h - 9. Let z(v) = -v**3 + 1. Let d(s) = j*b(s) + 5*z(s). Let o be d(-17). Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 1045?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -102. Is -3 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 12) in base 7?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2152 - 2153 - 2155 - 98*o**2 + 6462 + (5*o + 5*o - 5*o)*(2 - 2 + o).\nAnswer: -93*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 10:06 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 - 2829\/11. Let m be ((-21)\/(-6))\/((-1)\/(-10)). Let p = m - 39. Sort s, 3, p in descending order.\nAnswer: 3, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 653?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 6. Let z be r(-3). Suppose 0 = 2*s - s - 2. Let q = 1 + s. Is z smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 185ee62 + 1?\nAnswer: 185ee63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151250 and 40000.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 81*u**3 - 186*u**2 + 324*u + 696.\nAnswer: 3*(u - 29)*(u - 2)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -24562*t**3 - 10*t**2 + 5*t - 10. Let j(l) = 12281*l**3 + 6*l**2 - 3*l + 6. Give -3*b(s) - 5*j(s).\nAnswer: 12281*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2344992.\nAnswer: 2, 3, 13, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*(-1)\/(-3). Let q be (9\/(-9))\/(0 - 1). Suppose -4 = -3*v - 2*n + q, 4*v = -3*n + 7. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220399, 2\/29, 5 in descending order.\nAnswer: 220399, 5, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202645 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55\/17 - 148\/51. Which is the nearest to 3? (a) u (b) -3 (c) 0.1 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 4*q = 2*p + 4, -4*q - p + 3627 = 3616 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 4*g**2 + (2*g - 6*g + 2*g)*(-893*g + 163*g + 73*g))*(2*g**2 + 0*g + 0*g + (-g + 4*g - 5*g)*(-g - 2*g + g) + 3*g**2 - 5*g**2 + 3*g**2).\nAnswer: 9205*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*q**2*v + q**2 - 23*q - v**2 - v wrt v.\nAnswer: -43*q**2 - 2*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91298 by -45649.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 991810, 1984125, 2976454, 3968803, 4961178?\n\"Answer: x**3 + x**2 + 992305*x - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 13932435.\nAnswer: 13932434.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*c + 10, v - 2*v + 6*c - 33 = 0. Put -24, 4, v, 0.02 in decreasing order.\nAnswer: 4, 0.02, v, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 5*v - 2, -3*w + 3*v - v - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 2\/7, 0.1, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37\/11 or -96972?\nAnswer: -37\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 2:35 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5152299.\nAnswer: 3, 23, 89, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.6 (b) 3\/169 (c) 4872\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/42 and ((-64)\/49)\/(12 - 1218\/98).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (38\/(-95))\/(-4*(-2)\/(-60)). Solve -5*k + 2*j + t*j - 5 = 0, 4*j = -4*k + 28 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/((-78)\/12) - 30\/(-14). Put y, 1\/2, 0, -2\/11 in decreasing order.\nAnswer: 1\/2, y, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925841069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1335, 2359, 3345, 4287, 5179, 6015?\nAnswer: 6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -13 - (-2 - (2 + 2))) + 21 + -34?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 3) to base 16\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10188 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.01 - -0.81. Which is the nearest to 2? (a) 0 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 14*g + 3. Let p(y) = y - 1. Determine -l(q) + 6*p(q).\nAnswer: -8*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 + 9*o + 7. Let j be x(-5). Suppose i - n - 5 = -2, i + 2*n = j. Solve -s = -i*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1\/9, 13, -1\/5, -206?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeassma. Give prob of sequence se.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 3:02 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -62043194 not equal to -62043194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113682400 divided by -417950.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 19 = -71. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 3*d**2 - 11*d + 4. Let b be q(5). Let u = b + 10. Let m = u - -1. Calculate the lowest common multiple of m and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -12. Suppose -6*n + r = -n. Let j be ((-2)\/n)\/((-1)\/18). Solve -j = -3*i + 6*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 858\/17, 3, -1\/540 in increasing order.\nAnswer: -1\/540, 3, 858\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 41\/4 (c) -5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8500*q + 50988. Calculate k(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1100*y**2 + 1102*y**2 - 2201*y**2 + 2*y**3 + y - 34 to i*y**2 + h*y + g*y**3 + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -336.5961 take away 116?\nAnswer: -452.5961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/2 - 2*w**3\/3 - w - 49. Suppose -9*l + 16 = -5*l. Let y(f) = 2*f**3 + 2*f**2 + 1. Give l*y(h) + 3*v(h).\nAnswer: 2*h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t**2 + 734*t**2 - 52919*t + 26298*t + 26621*t.\nAnswer: 690*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16*o - 2 - 78*o + 1 + 0. List the prime factors of a(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-12)\/(-4) - 1. Suppose -4*n = 3 - 19. Let k(o) = 35*o**3 - 3*o - 65*o**3 + n*o**y + 7 + 31*o**3. Give k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78362, 162530, 246698?\nAnswer: 330866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u. Let m(b) = -b**2 + 4*b. Let f(g) = -m(g) + 2*s(g). Let j be f(-2). Let o(x) = x**2 + 8*x + 8. Let a be o(j). Solve -a + 3 = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (4 - (10 + -4)). Let f be 2 + n - (21 - 24). Solve -b - 25 = 5*s, -f*b + 5*b = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 3 (c) 7 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 < -1285\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*t**4 + 14*c*t**2 + 7*c*t - 3*c - 321 with respect to t.\nAnswer: 4*c*t**3 + 28*c*t + 7*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(22)\/sqrt(2))**2 + 3 + 3)*5 + -1.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.774 + -44.674. Round p to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*w + j + 15, -2*w - 4*j = 10. Which is greater: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841162211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(u**5 - 4*u**4 + 4*u**4) - 7*u**5 + 3*u**5 + u**5 + (-2*u**4 + 3*u**4 + u**4)*(2*u - 3*u - u) + u**5 + 0*u**5 - 2*u**5 - 3*u**5 - 1 + 1.\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(25)\/(sqrt(15)\/sqrt(3)))*2*3)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5374482 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134126 and 6965?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 5. Let g(f) = 4*f - 8. Let c(z) = 5*g(z) + 8*k(z). Let d(o) = 36*o**2. Give c(d(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10469547 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-14))\/(315\/1260))\/(3\/(-399))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 167, 200, 233, 266?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56532894.\nAnswer: 2, 3, 11, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42112*l**2*m*s - l**2*m + l**2*s**2 + m**3*s**2 - 63*m**3*s + 2*m*s**2 - 51293*s**2 wrt s?\nAnswer: 2*l**2 + 2*m**3 + 4*m - 102586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (1 + 19 + -64 + 17)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5821 + 666*w - 2237 + 6233 - 21288 - 13850 - 3*w**2 = 0.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 0.28.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 5*d - 3*d = -34, -d - 22 = -5*o. Solve 37 = -8*b + o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 0. Suppose 0 + 6 = -2*s. Is h\/(1\/s - 0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*542.8\nAnswer: 1085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 140597?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 21*f**2. Let p(h) = -3*h**2 - 5*h - 8918. Determine p(v(s)).\nAnswer: -1323*s**4 - 105*s**2 - 8918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -3541\nAnswer: -24787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:28 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -0.1, -4\/5, 116, 1489?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 715\/68 + -183\/17. Which is the nearest to 0.1? (a) l (b) -0.4 (c) 2\/3 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 5*j + 4. Let o(g) = -g**3 + 3*g**2 + 18*g + 1. Let y be o(6). Let u(p) = 103*p**2 + 2*p - 1. Let d be u(y). Let a = d + -111. Give l(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1108291 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f + 20. Let p(w) = 2*w + 7 - 2 - f*w. Let k be p(2). Let a(j) = j**2 - 1. What is a(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37412154.\nAnswer: 2, 3, 13, 61, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(sqrt(704) + 2))**2*4.\nAnswer: 6528*sqrt(11) + 102532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280 rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c**4 + 2*c**3 + 11*c**2 - 6*c - 5624. Let k(w) = 2*w**4 - w**2 + w + 4. Let o(y) = 6*k(y) + q(y). What is the first derivative of o(g) wrt g?\nAnswer: 108*g**3 + 6*g**2 + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37\/210 + -1\/42. Which is the fourth biggest value? (a) 1\/4 (b) -0.4 (c) 0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26494, -1\/4, 2\/3, -20 in decreasing order.\nAnswer: 2\/3, -1\/4, -20, -26494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + x = 28995, 4*q + 16*x - 11*x - 38682 = 0. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 5.8. Let r = -591 + 590.9. What is the second biggest value in l, r, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -43, -4, 5, 0.5, -2\/39?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 8 = 0. Let w be (-1 - g)*64\/(-6). Let n be (-54)\/(-15) - (-10)\/25. Calculate the greatest common divisor of n and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*u**3 + f**3*u*v - 3*f**3 - 2*f**2*u**3 - 2*f**2*u + f**2*v - 9*u*v wrt f.\nAnswer: 12*u**3 + 6*u*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2 - 6*o + 13. Let t(q) = 4*q**2 + 4*q - 9. Suppose 0 = -v - 5 + 10. What is v*c(b) + 7*t(b)?\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(2299) - (sqrt(2299) + 1 - sqrt(2299)))*2 - sqrt(2299) - sqrt(2299)) + (0 + sqrt(2299))*1)**2 + 3 + (0 + sqrt(2299)*1 - sqrt(2299))).\nAnswer: -88*sqrt(19) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-4) + 0)*64\/(-12). Suppose -z - 3*a + 10 = -m, -23 = -z - 4*a. Suppose 0 = 15*b - z*b. Is 2\/13 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:16 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-76*(-738)\/(-193971)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j - 439 = 320 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 + 2*m + 1. Let v be g(-1). Find the second derivative of -3*t**2 - 2*t**v - 18197*t**4 + 18197*t**4 + 48*t wrt t.\nAnswer: -40*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 25*u**4 - 106*u**3 + 1342*u**2 + 8107*u - 9317.\nAnswer: -(u - 7)*(u - 1)*(u + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 22 + 5*g**2 + 2*g**2 - 7*g**2 + g**2 - 16*g. Let q be a(15). Solve q*k = 2*k + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2 + 4 - sqrt(637) - (sqrt(637) - -1*(0 + sqrt(637))))**2 + ((sqrt(143) - -2*-2*sqrt(143))\/(-1*sqrt(44) - sqrt(11)))**2 + 3.\nAnswer: -280*sqrt(13) + 15957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 17466*n**3 - 4 + 17554*n**3.\nAnswer: 88*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 57604?\nAnswer: -57604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 90 = -39. Let s = j - -20. Let g = s + 25. Solve w + 4 = 0, -g*f - 2*w = 19 - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224409, -224400, -224377, -224334, -224265?\nAnswer: -224164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 87?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 30 + (0 - 19)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 - 15*b - 12. Let d(l) = -3*l**2 + 7*l + 5. Let f(j) = -9*d(j) - 4*t(j). Suppose -4*i - y - 3*y - 36 = 0, 4*i + 5*y + 40 = 0. What is f(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149\/173 + 20383\/16435. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32479 and -0.0014.\nAnswer: 45.4706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2*(-2)\/(-38))\/(20\/(-20))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 4\/13, 3, -0.3?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 1 (c) 1\/3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 66. Let f be h(22). Let l be 20\/11 + 4\/22. Determine d so that 0*d + 1\/3 + 1\/3*d**4 - 2\/3*d**l + f*d**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*y + 542 = -532*y + 483*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7541?\nAnswer: 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (1 + 3)) + (-2 - 12 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4)\/(21\/28*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {m: 1, w: 7, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2 in ascending order.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z - z**2 + 13 - 14 + z. What is the units digit of w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 20 + 153*f**2 - 173*f**2 to the form o*f + p*f**2 + r and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 2:44 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -37*l. Determine z(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -8582188?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 2\/19 (c) 2\/321 (d) -4\/11 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-28)*a*a*(((a*a*a\/(a**21\/a*a)*a*a)\/a)\/a*a)\/a)\/(a**23*a**(4\/5)*a) assuming a is positive.\nAnswer: a**(-334\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.10879, -12, 2?\nAnswer: 1.10879","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 26, 5\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3148, -13790, -31534, -56380?\n\"Answer: -3551*g**2 + 11*g + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/((-81)\/6) - -1. Let n = -74205\/7 + 10734. Let w = 133 - n. Which is the nearest to w? (a) 0.2 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1121 = -4*r + 1101 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 - 229 + 662 - 212 + 19*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/(v**(-3)*v)*v)))\/v*(v\/v**0)\/v)**(-30))**36 assuming v is positive.\nAnswer: v**(-3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -14)*(-4032)\/(-4704)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 526915?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - 12 = -4*d, 3 = -d. Is 12 a factor of (152\/l)\/(2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a31216 + 1a?\nAnswer: -a311a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0*q**2 + 0*q**3 + 0 - 3*q + 1\/12*q**4. Let f(a) = -9 + 9 - 21*a - 2*a. Give f(y(d)).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5258*g + 3909 with respect to g.\nAnswer: 5258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 3, i: 1, o: 2, s: 10}. What is prob of picking 1 z, 1 i, and 1 o?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 29.11. Let h = -574.4 + 574.9. What is the second smallest value in h, 1, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.6 - -0.8. Round k to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7204 is divided by 212?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5132345134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1225*x.\nAnswer: 1225*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/216 and 103\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 + -52. Let a = y - 19. What is the third smallest value in 2, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t*w**4 - t*w - 7*t + 51*w**4 - 207*w**3 - 78*w wrt w?\nAnswer: 12*t*w**2 + 612*w**2 - 1242*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/4 - 2*a**3\/3 + 3*a**2 + 11*a - 17. Suppose 2*f + 4*y = -3*f + 42, 0 = -3*f + y + 15. Is q(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 4. Suppose -8 = -60*p + 58*p + 2*l, 0 = p + 3*l + 20. Determine u(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 - -409. Let t = 187 + x. Let j be (-19)\/(-4) - 2\/(-8). Solve -5*w + 4 = 5*v + t, 0 = 2*w - 5*v - j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 6*o - 793. Let v = o + -115. Suppose 2*k + 5*s - 2 = 0, v = 4*k + 4*s - 0*s + 8. Is k > -19\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60121 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -327.744 - -329. What is r rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = n. Let f(c) = 9 + 2*c - n + 1. Suppose 18 = -3*h - 0*h. Determine f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*b - 537549 = -9762*b - 39429 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l + 4. Let h(d) = -13*d - 5. Let g(p) = 4*h(p) + 5*i(p). Let j(n) = -47 + 47 - 2*n**2. Determine g(j(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**13*l*l*l**(-2\/49))\/((l**2\/l)\/l)**11 assuming l is positive.\nAnswer: l**(782\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(0*s**2 + s**2 - 4*s**2)*(1 - s - 1).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -147. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -110 - x + 53 + 53. Let r(q) = -10. Let w(j) = g(j) - r(j). Let d(m) = 1. Give -6*d(p) + w(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 6*h**2 + 5*h**2 + 0*h**2 - 474*h**3 + 947*h**3 + 10*h**4 - 472*h**3 - 1 as a + s*h**3 + m*h + g*h**2 + r*h**4 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*j = 3*j - 24, 2*j = -b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30543 + 0?\nAnswer: -30543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.3. Let g = -3\/176 + 725\/1232. Sort -1, k, g.\nAnswer: -1, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = -0*a. Let o(q) = 9*q + 250. Let x be o(-28). Sort a, 1, x.\nAnswer: a, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51662114.76 rounded to the nearest one thousand?\nAnswer: -51662000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + k. Let o(z) = 2*z**2 + 9*z**2 - 86 - 20*z**2 + 4*z + 2*z**2. Let n(j) = -2*i(j) + o(j). Differentiate n(r) with respect to r.\nAnswer: -22*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 21, 1, 1.1, -4, 2, -0.18 in increasing order.\nAnswer: -4, -2\/9, -0.18, 1, 1.1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -20*o - 285. Is 5 a factor of f(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*40\/15. Let x = -70\/3 + 24. What is the third biggest value in x, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000236414 to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -914 by -1.\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14128136.49 rounded to the nearest one thousand?\nAnswer: -14128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 + -158. Suppose -q*a + 27 = 3*a. Solve -2*z = -a*t + 2 - 6, 0 = -3*z + 4*t + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 27 = -10*i + b, -6 = 2*i - 2*b for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -15d?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1646 + 13387. Suppose 8*w - 38651 = k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(2\/23)))**(-1\/58)*(s**(-2\/47)*s)\/s**(-3\/25) assuming s is positive.\nAnswer: s**(843247\/783725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 - 3. Let q = 300 - 297. Suppose 16 = q*n - 11. Calculate the remainder when d(-3) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*r - 57 + 57 + 40*r + 44*r + 80*r - 223*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 less than 904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (21 - (44 - 25))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -28)\/(((-289)\/34)\/17*2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x, 4*z - 3*x = 867 - 855 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738893 (base 13) to base 6.\nAnswer: 133541302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 + -6129930696.1.\nAnswer: -6129930710.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-21) + 8)*15 - 101.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 16164.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13085.6 * -257\nAnswer: -3362999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8440398*y**3 + 11708*y**2 + 32.\nAnswer: -50642388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*q - 559 + 1023 = -1098 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q = 3*q - 31. Sort q, 5, 0.4, 0.04 in increasing order.\nAnswer: q, 0.04, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 19, -4, 12 in descending order.\nAnswer: 19, 12, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.31528 kilometers in millimeters?\nAnswer: 77315280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 2*w - 3*w)*(3 + 2 - 4) - 2 + 2 + 2*w - 2*w - 1 + 1 + (-9*w - w - w)*(-1 - 5 + 4) to p + c*w and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 - 4*u - 1. Let b be y(5). Suppose -23*o + 38*o - 6150 = 0. Let i = o - 407. Solve z + 2 = -3*n, i = b*z - n - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 35*x**2 + 4. Let p(d) = 0*d + 6*d - 6*d - d. What is a(p(r))?\nAnswer: 35*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328 - 131. Suppose 4*q + 323 = -a, 0 = 4*q - 4*a + 151 + u. Which is bigger: -83 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168060392 is divided by 798.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(1\/10)*(w\/w**2)\/w**6 assuming w is positive.\nAnswer: w**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)*(-6 + -2 + -3). Let r(g) be the first derivative of 8*g**2 + 10*g - 5. Let u(i) = -3*i - 2. Calculate k*u(o) + 2*r(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10458 is divided by 401?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253*r**2 - 69*r**6 + 16*r**6 - 412*r**5 + 23*r**6 + 28*r**6 wrt r?\nAnswer: -240*r**3 - 24720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5 = 5*p, -4*m + 2*p - 2 - 14 = 0. Let s(k) = -k**2 - 8*k - 11. Let d be s(m). Let h be (-2)\/7 - 64\/(-28). What is the smallest value in h, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/((-231)\/6) + (-37)\/(-7). Let t(l) = l**2 - 5*l - 4. Let s be t(u). Is 2836 - -6*s\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let p = -0.2667 + 0.0667. What is the closest to h in 3, p, -9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 5\/4, 208, -1\/5, -3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64891933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 706, 2868, 6480, 11548, 18078, 26076, 35548?\nAnswer: 46500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*q**4 - 8*q**4 - 16*q**4 + 4*q**5 - 15*q**4 - 8*q**3.\nAnswer: 4*q**3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5*n*n**5)**(-23\/2)*(n\/(n*n**0\/n*n)*n\/(n\/n**(2\/7)))**(-15) assuming n is positive.\nAnswer: n**(-996\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25168735 divided by 1.\nAnswer: 25168735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 663 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = 2. Let g be (a - (-6 - -1)) + -3. Let z be 1 - (-4)\/(-4) - g. Solve 2*u + 2*y + 4 + 2 = z, -9 = 4*u + 3*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 1 + 0 + 1. Let p(t) = -t**2. Calculate p(s(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 33, -1\/2, 3.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 11*y + 2. Let s be p(11). Suppose s*i - 15 = -3*f - 2*i, -f + 3*i - 8 = 0. Let l be 6\/12*(f + -1). Solve m + 1 = -l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -28 + 2*s**2 + 0*s**2 + 28. Let g(z) be the second derivative of 0 - 7\/4*z**4 + 0*z**3 + 25*z + 0*z**2. Determine y(g(v)).\nAnswer: 882*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19d277 (base 15) to base 2.\nAnswer: -100110011011110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (sqrt(396) - ((sqrt(396) - -2*sqrt(396)) + -3)) + sqrt(396).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*l - 3*l + 10, 0 = -o + 2*l - 1. Suppose 36 + 19 = o*q. What is the greatest common divisor of 44 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104595 and 60?\nAnswer: 418380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18 = 5*i, m = 34*i - 35*i + 3. Which is the second smallest value? (a) -3 (b) 0.5 (c) i (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1816627180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80676161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 203310 (base 4) to base 14\nAnswer: b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1 (b) 4\/7 (c) 0.6 (d) -1.9 (e) 16 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 < 281098\/571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 967419 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:38 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 0.5 in decreasing order.\nAnswer: 0.5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20011 (base 3) to base 9\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 30*r**2 + 333*r + 55. Suppose n - 131 = -0*n. Calculate the remainder when n is divided by a(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-10))\/(19\/(-2185)). Calculate the highest common divisor of 69 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**2. Let q = -10 + 12. Let v(m) = 16*m - 2*m**q - 16*m. Calculate v(l(t)).\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2505 (b) 61\/29 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 223, 206, 181?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/10)\/((-12)\/15)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 384488407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198.406 - 0.594. Let c = w - -198.94. Sort -2\/5, c, 6 in descending order.\nAnswer: 6, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:33 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*u = 5*u - 62, 0 = 3*l + 3*u - 48. Let q = l - 9. Calculate the remainder when 14 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476126 is divided by 885?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 49, 117, 243, 445, 741, 1149, 1687?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 - 0 - (-40 + 28 - -53 - 43)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 8*h**2 + 11*h + 4. Let p be y(-10). Let u = 107 + -64. Let t = p - u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-44))**(-8\/7)\/(((a\/(a\/(a\/a**(2\/19))))\/a)\/a*a\/(a*a*(a\/a**(-4\/3))\/a*a))**(-38) assuming a is positive.\nAnswer: a**(-4598\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 183 and 187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10112213 (base 4) to base 15\nAnswer: 543b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29255983731 - 4867.\nAnswer: -29255988598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11978*k**4 + 6674286*k - 6674286*k + (-4 + 2 + 0)*(-k**2 + k**2 - k**4).\nAnswer: 11980*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t + 2. Let b(n) be the first derivative of n**2\/2 + n + 16751. Suppose 0 = 2*a + 4*y - 9 + 1, 5*a + 5*y = 0. Calculate a*b(m) + l(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71116 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 64 - (-1439 + 1471)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x\/((x\/(x**(-3\/11)\/x))\/x)*x*x)\/x)\/x)\/x)**(-8\/13)*x**(-4)\/(x*x**(3\/11)) assuming x is positive.\nAnswer: x**(-730\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(600)*3)\/(((sqrt(270) - sqrt(270)*-1) + sqrt(270))\/sqrt(10) + sqrt(27)) + 1.\nAnswer: 1 + 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4.5. Sort 0.1, v, -2.\nAnswer: -2, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:24 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i**2 - 4. Let r be b(0). Let k be (-150)\/(-40) + (-1)\/r. Suppose 0 = k*d + 45 - 265. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + -6*sqrt(343))*4.\nAnswer: 36 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 - -265.2. Let x = s + -6.2. Let u = x - 50. Which is the nearest to 0.3? (a) -2\/3 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011069 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(7488\/(-96))*(-74)\/6*-3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 18 + 0 = 0. Let u(z) = z**3 - 8*z**2 - 7*z - 16. Calculate the remainder when 20 is divided by u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2502, 43, -17 in descending order.\nAnswer: 2502, 43, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 + 11*q**2 + 3*q + 13. What is g(5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, -17, 3 in descending order.\nAnswer: 3, 1, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*i + 30 = 0, -h + 25 = 3*i + 7. Solve -u + 12 = h*u + 4*y, -5 = -5*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 54*i - 101. Let s be k(2). Sort -2, s, 144 in ascending order.\nAnswer: -2, s, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/6)\/(t\/t**(2\/41)))**(-23))**(2\/35))**48 assuming t is positive.\nAnswer: t**(71024\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -163? (a) 5 (b) -208 (c) 3 (d) 4\/11 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15587, 15106, 14637, 14186, 13759?\n\"Answer: l**3 - 488*l + 16074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*s - s**2 - 1210 + 1210)*(0 - 2*s**2 + 0).\nAnswer: 2*s**4 + 58*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 + 2*x + 1. Let r be j(-1). Let v be (-46)\/r - (-2)\/(-8). Let f be (2\/v)\/((-2)\/2). Which is the nearest to 0? (a) 2 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z + 1\/120*z**6 + 1\/12*z**3 + 5\/96*z**4 + 11*z**2 - 11\/240*z**5 + 0. Factor k(o).\nAnswer: (o - 2)*(o - 1)*(4*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -68869817?\nAnswer: -68869812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 134042621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.59464 - 10108893.\nAnswer: -10108894.59464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*y + 4, 0*y = h + 3*y - 6. Let o = h + -22. Let b = o - -37. What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10387961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 572 * 5\nAnswer: 2860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (12 - (14 + 7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2. Let z(a) = -16*a. Let g(i) = 152*i. Let s(x) = -5*g(x) - 48*z(x). Give k(s(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let g(j) = 13*j**2 - 14*j + 2. Calculate g(b(i)).\nAnswer: 13*i**4 - 14*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 7. Let c be p(-8). Let s = -16 + c. Let q be (-8)\/12 + s\/3. Sort 1, -2, q in increasing order.\nAnswer: -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2642)\/6*(-95 - -2). Let k = -9405 + -1746. Let i = c + k. What is i rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 19*s - 2*s)*((-5 + 1 + 2)*(0*s**3 - s**3 + 3*s**3) - 6*s**3 + 2*s**3 + 2*s**3 - s**3 - 3*s**3 + 3*s**3).\nAnswer: -112*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -41*o**2 + 1\/36*o**4 + 0*o - 2\/3*o**3 + 0 + 1\/45*o**5. Factor p(b).\nAnswer: 2*(b + 2)*(2*b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -500, -0.012, 7, -3, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-j**2 - 5*j**2 + 5*j**2) - j**2 - 4*j**2 + 3*j**2 + 3 - j**2 - 3.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 541*b**5 - 628*b**2?\nAnswer: 32460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 21. Suppose 0*u = -l*u. Solve -4*b + 4 = -u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -2401?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 3)*(2*a - 4*a + 3*a)*(-5 - 2 + 3)*(22*a**3 + 34*a**3 - 12*a**3)*(-5*a + 0*a + 3*a).\nAnswer: 2112*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 37. Let u = y - -20. Calculate the highest common factor of 9 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 20, 6, -26, -76?\n\"Answer: -9*j**2 + 31*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 3*x**2 - 7*x + 1. Determine t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 328, -6, 0, -1 in ascending order.\nAnswer: -6, -1, 0, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1004 + 0.2004. Which is the fourth smallest value? (a) 2\/21 (b) 0.5 (c) -1\/5 (d) 1 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:59 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 - 7*o + 8. Let s be r(-7). Suppose 0 = -13*n + 40 - 14. Let q(y) = -2*y**2 + s*y**n - 4*y**2. Let f(u) = 11*u**2. Give q(f(j)).\nAnswer: 242*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 258 + 111)*(12*n**3 - 6*n**3 - 15*n**5 - 7*n**3).\nAnswer: 2175*n**5 + 145*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*d + 3*d + 846, -5*d + 150 = -q. Let l = -1\/5321 - 1793175\/10642. Is l smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3746 = 289*n + 5502. Let c(f) = -3*f**2 + 5*f - 4. Let j be c(4). Let u = j - n. Solve u*a + 8 = -4*z + 2*a, -4*z - 8 = -5*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 328 = 251*y - 4336 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 378.1 and -1.\nAnswer: -378.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*24\/112*(1846\/(-60) - 21\/(-210))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 0*p**2 - 12*p + 4 + p**3 + 10*p + 4*p**2 - 2*p**2 to k + b*p + a*p**2 + n*p**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11044 - 165728\/15. Find the common denominator of y and 89\/26.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*h - 1544, -h = 4*u - 9*u + 1927. What are the prime factors of u?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 485, 1957, 4409, 7841, 12253, 17645?\n\"Answer: 490*x**2 + 2*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.3, 170\/9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -153211491.\nAnswer: 61284596.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 87.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578 divided by 18?\nAnswer: 263\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/4 + 2)*40*-4. Suppose -n + a + 177 = 0, -5*a - 733 + f = -3*n. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*n + 5, 2 = 5*o + 2*n + 6. What is the hundreds digit of 3 + -4 - o - -135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-30) - 69296\/30. What is d rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-3))\/((-6)\/(-12)). Let x(w) = 26*w + 11. Let b(m) = -5*m - 2. Let g(k) = s*x(k) + 22*b(k). Let n(c) = 3*c. Calculate n(g(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x = 22 + 370 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3\/2 - 2370*m**2 + 32965*m\/2 - 14115 = 0. Calculate m.\nAnswer: 1, 6, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12*9\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620844 and 2926?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*h - 12 = 70*h. Let d be (-165)\/(-2) + (-2)\/(-4). Suppose 0 = b - 5*q - h, d - 27 = 5*b + q. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 0) + (785 - 819).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**3 - 37*m**3 - 31*m**3 + (0*m + 17*m + 0*m)*(3*m**2 - m**2 + 0*m**2) - 2*m**3 - 5 + 5 to the form s*m**2 + g + i*m + u*m**3 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*g = -42 - 18, 2*h + 36 = -4*g. Suppose -3*j - 569 = -5*f + 807, 0 = 3*j - 9. What is the remainder when f is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 30788960?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-300))\/((-20)\/(-25))*4*-3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (376\/(-47) - ((-135)\/12)\/((-8)\/(-64)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -26. Sort i, -2, -1 in decreasing order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 22 + 31 + 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u + 7. Let z(g) = -10*g - 4. Let h(m) = 20*m + 8. Let s(o) = 3*h(o) + 7*z(o). Let k(r) = -4*c(r) - 7*s(r). Let j(t) = -t. Determine j(k(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423189 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 41203, 1073 in descending order.\nAnswer: 41203, 1073, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1715 + 1714.7. Which is smaller: v or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -46. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5 - 164*w**4 + 8*w**3 + 328*w**2 - 4*w - 164 = 0?\nAnswer: -41, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 5*w**2 - w. Let g be y(-4). Let b = 238626 + -238622. Solve -g + 7 = 5*k + 2*o, b*k - o = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34053 + 5?\nAnswer: 34058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 539\/(-595) + (-27)\/15 + 2. Is g smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8712 by 726.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 4:19 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12\/43 + 22\/387. Which is the nearest to s? (a) 3 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0334503254 to 5 dps.\nAnswer: -0.03345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -2\/13 (c) -0.193262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/83912 and -59\/75274?\nAnswer: 5118632","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = -27. Let f be (3\/r)\/((-1)\/9). Find the third derivative of c - c + 2*c**2 + 2*c**f wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-16)\/(-432) + (220\/(-15) - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200.929 - 2.971. What is w rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 1\/9*w**4 - 2\/15*w**5 + 0*w**2 + 2\/27*w**3 - 4 + 0*w. Factor b(r).\nAnswer: -2*r**2*(r - 1)*(3*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/465 and 105\/54002.\nAnswer: 810030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 0)**2 + sqrt(7)*1*6.\nAnswer: 6*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 777\/5 - 22\/(-385)*-7 and 45?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 2*q - 2. Let r(i) = i**3 - 18*i**2 - 20*i + 41. What is the least common multiple of c(2) and r(19)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 591\/7 + -3455\/42. Let y = 5\/2 - f. Solve -2*t + 3 + y*t**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*p - 13*p**2 - 135*p + 444*p - 138*p.\nAnswer: -13*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10049.5 take away 0.0693602?\nAnswer: -10049.5693602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 + -9 + 8 + 18 and 65?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-5) + 1408\/40. Calculate the highest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 214964292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(12\/7)*((s\/(s*s*s*s*s**(-14)))\/s)\/(s**1\/s*s) assuming s is positive.\nAnswer: s**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/34 - 106*j**3\/51 + 46*j**2\/17 + 624*j\/17 + 3822. Factor l(y).\nAnswer: 2*(y - 52)*(y - 3)*(y + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -4. Let g = w - 1. Let s be 0 + 90\/(-35) + 3. What is the nearest to -0.1 in s, g, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 6) in base 3?\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -4a?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*l = -14, 35501*b - 35500*b - 10 = -2*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -29*b - 76. Give h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24168 divided by 4028.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3899761 is divided by 92851.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krwwkwikrk. Give prob of sequence rww.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9540101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.9 and 85.5?\nAnswer: -418.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 230 = -7*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -163, -676, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/615 - (-1)\/10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 4207*y**2\/2 + 25233*y\/4.\nAnswer: y*(y + 3)*(y + 8411)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o + o + o)*(-745*o**2 - 645*o**2 + 2*o + 1231*o**2).\nAnswer: -1749*o**3 + 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -25, -60, -109, -172, -249?\n\"Answer: -7*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 967752257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -798, -1596, -2394, -3192, -3990, -4788?\n\"Answer: -798*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-36)\/16 - -3. Let m(y) = 5*y + 23. Let i be m(-5). Sort 5, f, i.\nAnswer: i, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -16 - 4. Suppose 99 = u*m - 25. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.2. Let v = -5 - -8. Let u = 61\/212 + -2\/53. Which is the nearest to v? (a) w (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -88*l. Let q(u) = 882*u. Give -49*c(m) - 5*q(m).\nAnswer: -98*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55744964 to the nearest integer?\nAnswer: 7466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826 = 4*f + 230. Suppose -145*d = -f*d + 132. Calculate the remainder when 228 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14062 - -14083. Solve -z*x = -20*x + 4*h + 11, -3*h - 8 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.184326 and -0.34503.\nAnswer: -1.529356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26302 and -22.\nAnswer: -578644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4556)\/85)\/(2\/(-5))?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 less than or equal to 528.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 822770633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.847436 seconds to weeks.\nAnswer: 0.00006753875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**5\/120 + d**4\/4 - 13*d**3\/3 + 2*d + 32. Let v(r) be the third derivative of p(r). What is v(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*l = -85*l - 39279. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 9933295*w - 9933296.\nAnswer: (w - 1)*(w + 9933296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 8 - 164*m - 13 + 54*m - 84 + 62*m. What is the units digit of b(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6571, -6570, -6577, -6598, -6639, -6706, -6805, -6942?\nAnswer: -7123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -816 by 204.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278 + 334. What is the remainder when u is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose 4*j + 2*f = j + 4, -2*f = -s*j + 6. What is the second derivative of 3*k**2 + 3*k - 3*k**j + 3*k**2 - k wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2939 * 343.\nAnswer: -1008077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -174736 or -174734?\nAnswer: -174734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*(sqrt(272) + (sqrt(272) + -3)*3))*4*-2)**2.\nAnswer: -94208*sqrt(17) + 1147968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*a**3)*(-7*a + 3 - 3 + (1 - 2 + 0)*(-2*a - 2*a + 5*a))*(2 + 0 - 3).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14847160*k = -14847133*k + 2268 for k.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 51*i**4\/4 + 89*i**3\/3 + 89. Find the third derivative of z(h) wrt h.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54787328 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/139 and 89\/4.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 50884*c**2 + 195464316*c + 201286776636.\nAnswer: 4*(c + 1639)*(c + 5541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 6) in base 13?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -25.51073.\nAnswer: -25.41073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g. Suppose -4*l = 3*n - 24 - 27, 2*l + 4*n = 28. Suppose -q = -g*q - x, -x = -5*q + l. Solve q = 4*h - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18718963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -0.71, 5, -2\/17 in descending order.\nAnswer: 5, 0, -2\/17, -0.2, -0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1783, -110, 1, 0.\nAnswer: -1783, -110, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4336893, 4336782, 4336597, 4336338, 4336005, 4335598?\nAnswer: 4335117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01551 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 3*j + 12. Let h be p(-3). Let r(m) = m**2 - 7*m - 18. What are the prime factors of r(h)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 933049, 1866136, 2799225, 3732316, 4665409?\nAnswer: 5598504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 10, -970 in descending order.\nAnswer: 10, -0.1, -970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/30)\/((-1)\/(-99)). Let y = -29 + i. Suppose -y*n - n + 385 = 0. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 15, 4*k + 25 = 5*l. Suppose -3*x - 5*d + 28 = 0, 3*x = -x - 2*d + 14. Solve k*v + x = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(-4) - 1203\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18575\/8021 + 5\/617. What is the common denominator of -85\/4 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-1)*2\/6. Let t(p) = 3*p**2 + 29*p - 12. Let d(o) = o**2 + 10*o - 4. Let i(s) = -17*d(s) + 6*t(s). What is the units digit of i(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 3*-44*(-4)\/48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 188 = -4*r, 5*r - 4*j - j = 250. Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 49*y. Let t(p) = 401*p**2. Determine h(t(w)).\nAnswer: 19649*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256 by -128.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -157200190, -157200191, -157200192, -157200193, -157200194?\n\"Answer: -l - 157200189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -5*z**8\/168 + 29*z**6\/300 - z**4\/15 + 10*z**2. Let t(v) = 0. Calculate v.\nAnswer: -1, -2\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*o*q**4 + 5*o*q**3 - 285*o*q + 5*q**4 + 2*q wrt q.\nAnswer: -468*o*q**2 + 30*o*q + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38742\/53 - 731. Is f not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6191 minus 1324?\nAnswer: -1324.6191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 0, 2*v + 297 = -h - 127. Let a = h - -416. Solve -a*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + 0.86. Let t = -19 + d. Let g = -17.6 - t. Which is the second biggest value? (a) -1\/5 (b) g (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2001202202222102?\nAnswer: 2001202202222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 276*r - 281. What is n(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11436?\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.46569\nAnswer: -0.03431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64987349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z**4 - 20*z**4 + 0*z**4)*((5 - 5 + 5*z)*(1 - 2 - 1) + (0 - 2 + 0)*(-3 + 3 + 2*z) + (-z + 1 - 1)*(-1 + 2 - 2)).\nAnswer: 416*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:15 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**2. Let g(v) = -2*v**2 + 4*v**2 + v**2 + v**2. What is g(m(l))?\nAnswer: 196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - c = 232 - 208, 34*c + 136 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2884 (base 10) to base 11\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1) + (-381)\/(-3). Suppose -4 + 614 = -10*h. Let x = h + g. Calculate the highest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343 + 237. Let z = -106.051 - o. Which is the third smallest value? (a) -2 (b) -2\/3 (c) z (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**3 - y - 10. Let x(k) = -k**3 + 1. Determine -w(g) - 5*x(g).\nAnswer: -g**3 + g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*h**3*q**3 - h**3*q**2 - 903*q**3 with respect to h.\nAnswer: -162*h**2*q**3 - 3*h**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/6071 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-60))\/((-3)\/42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673024.409 rounded to the nearest 10000?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*s + 5*s + s. Solve -3*v - 5 - 6 = a, v + a + 5 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*36\/45*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1033*u**2 + 14504*u - 584. Calculate m(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2, 4*w + p + 135483 = -w. Let o = -6259390\/231 - w. Let y = -7694\/5313 - o. Calculate the common denominator of -13\/7 and y.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 20 = -5*p. Suppose 4*i + 2*n - 66 = 4*n, -p*i = n - 65. Calculate the remainder when 2\/(-12)*2*-159 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(-5 + (3*sqrt(19))**2).\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 10. Suppose 5*i + l - 62 = -5*s, 2*s - 2*i = 0. Solve 0 = -s*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2925, 2964, 3031, 3132, 3273, 3460, 3699?\nAnswer: 3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtttttd. Give prob of picking 2 d and 1 t.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 38362710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 263*r = 254 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**7\/840 - z**6\/45 - z**5\/15 - z**4\/24 - 2*z**3\/3 - 8*z**2. Let g(q) be the first derivative of f(q). Give g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 142*k**5\/5 + 3*k**2\/2 - 120*k + 579. Find the second derivative of j(c) wrt c.\nAnswer: 1704*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2393*d**3*y**2 + 5132*d**3 - 85*d**2*y**3 + 911*y wrt y?\nAnswer: 4786*d**3 - 510*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((8 - -6) + 0 + -2) - 75.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -4*x - 2*g, 0 = x + x + 2*g - 40. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6757 is divided by 880?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcgggggggeggggggwec. What is prob of picking 1 g and 1 e?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in 2.224, -0.1, 4, -10, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-36))\/(-40 - (-3400)\/75)?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612309 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 2*n - 5*y - 9055, 0 = -4*n - 5*y + 7289. Is n < 1817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1592, -8.535, 0.1 in increasing order.\nAnswer: -8.535, 0.1, 1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c - 2. Let u = 10 + c. Calculate the smallest common multiple of u and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3603 is divided by 243?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3 - 260456*w**2 + 4239832996*w = 0 for w.\nAnswer: 0, 32557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyuywuy. What is prob of picking 3 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/7, 3\/7, -1\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 451657478 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**7\/42 + 7*n**6\/30 + 3*n**5\/2 - 21*n**4 + 36*n**3 + 1993*n. What is a in r(a) = 0?\nAnswer: -6, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:54 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17.342244 months?\nAnswer: 0.01445187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-45)*-5 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4242\/(-11312))\/(6\/(0 - 2)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/1246 and -127\/12460.\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -21. Let b = 8 + h. What is the units digit of -1*b\/(-2)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -1\/25*f**5 + 36*f + 1\/30*f**4 + 1\/150*f**6 + 0 + 2\/15*f**3 - 3\/10*f**2. Solve t(d) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004355 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 22 = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.083 - 0.163. Round n to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 43 - 109, 77*h - 1702 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-5))\/t)\/t**(3\/8)*t\/(t*t\/(t\/(t\/t**(2\/19)*t)))*t**0 assuming t is positive.\nAnswer: t**(567\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3, 5*j + 9*b - 185 = 4*b. What is the highest common divisor of 799 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 5. Let z be s(-7). Let l be z + -2 + 1 + -29. Let y be 4\/14 - (-22)\/l. Is y at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.63006km to millimeters.\nAnswer: 94630060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 17. Let z = 16 + t. Suppose -2 = -4*b + 2*o, 25 = 5*b + 2*o + 3*o. Calculate the highest common factor of b and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110763*c + 110862*c - 594 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((61336\/18532)\/187)\/(2*(-1)\/2)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439044.\nAnswer: 2, 359761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4329 + 2*y + 5*y + 2*y.\nAnswer: 9*y - 4329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -200. Let g be (2 + -10 - -3)\/(40\/(-16)). Suppose -3*k + g*k + 31 = 0. What is the remainder when i is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161\/46*(-5844)\/(-14).\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 56 = -6*t, 29*t = -6*x - x + 32*t + 34 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 864, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.840374ms in days?\nAnswer: 0.000001583800625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 7*q**3\/6 + 6*q**2 - 3*q. Is d(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3648)\/(-380))\/((-8)\/(-10))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + r = -235, 91 = 2*t - r. Suppose 3*l + t + 19 = 2*w, -3*l - 4*w = 37. Let f be 30\/(-75) - l\/35. What is the closest to 1 in 0, -2\/13, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 228, 1211, 3464, 7491, 13796, 22883, 35256?\n\"Answer: 84*a**3 + 131*a**2 + 2*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**5\/60 - 5*f**4\/6 - 17*f**3\/3 + 23*f**2. Let w be m(-18). Factor 0 + n + 1\/3*n**w.\nAnswer: n*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/136 and 11\/96936.\nAnswer: 1647912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 4*a**2 - 7*a**2)*(0 + 0 + 5).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, -4024, -0.5, -3, 2\/11, 0.1, -24?\nAnswer: -4024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 46 - 6*l**2 + 7*l**2 - 95 + 43. Let r be (-2)\/(-7) + 8\/(-28). Determine m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 21 - 45*(-6 + (-135)\/(-25))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:53 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 987 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -14 - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/3*f**2 - 19 + 79\/3*f + 1\/3*f**3.\nAnswer: (f - 19)*(f - 3)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 6, -41, -2\/17, -3, -4, -0.51?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6955 and 4334035.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2\/4*4\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5501433497 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10108994 - 10108994 - 13*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m. Determine b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/720 and -131\/30.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + 3*sqrt(60)\/sqrt(4))\/(-1*sqrt(125) - sqrt(5)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 0*a - 2\/3*a**3 - 5 - 2*a**2. Determine q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*l**2 - 35*l**2 - 201*l**2 to the form t + b*l + r*l**2 and give r.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187.000001325 - -187. Round p to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/9*3 - -10. Let s = -13 + u. Let a be s - (2 + -1) - -7900. Round a to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 - 355. Calculate the remainder when (-3)\/(3*4\/w) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) - (sqrt(225) - sqrt(225)*6) - sqrt(9))\/((sqrt(21) + -3*sqrt(21))\/sqrt(7)).\nAnswer: -29*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/6*12\/10. Suppose a - z = 1. What is the derivative of -y**a + y**3 + 6*y**4 + 1 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 + x - 36 - 30 + 3*x**3 to the form w*x**2 + n*x**3 + r + f*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**3 - 6*z**2 + 6*z. Let b = 4812 - 4813. Let s(o) be the first derivative of -o**4\/4 + o**3\/3 - o**2\/2 - 1. Determine b*t(p) - 6*s(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p + 6 = -v, 5*v + 4*p = 46. Let h be ((-85)\/10 + 4)*(-4)\/v. What is the fourth biggest value in 0.3, h, 4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 428 = -3*f - g, -5*f + 1077 = g. Is 43 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x - 37*x = -25*x - 1248 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 34 = 7*r - 56, -t + 2*r - 5 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5 - 65*r**4 + 417*r**3 - 643*r**2 + 290*r = 0. What is r?\nAnswer: 0, 1, 5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (444\/333)\/((-21)\/(-49))*(-3)\/4.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*d - 1505, 28*j - 32*j + 905 = 3*d. Let a(p) = -3*p**2 + d + 0*p + 3*p - 298. Calculate a(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 19. Which is greater: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -551 - -5002\/9. Calculate the common denominator of -52\/9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*u*z**3 + 449*z**3 wrt u?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002012121 + -12?\nAnswer: -10002012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 13) to base 3\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.9, -5, -2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -12322001311?\nAnswer: -12322002023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -935*x**6 + 692*x**4 - 2*x**3 + 1267415*x**2 wrt x.\nAnswer: -112200*x**3 + 16608*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s - 46. Calculate h(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((84\/(-32))\/7)\/(18\/(-8))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 162 - 48*v + 47*v + (-1 - 1 + 0)*(-2*v + v + 2*v) as r + c*v and give r.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005 a factor of 76002885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-247)*(3 + 11\/(-3)). Let d = -11587\/2717 - r. What is the common denominator of -76\/15 and d?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59927*n = -59928*n + 5*o + 10, 0 = 5*n + 2*o + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152201, -304300, -456295, -608186?\n\"Answer: 52*g**2 - 152255*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 5*q**2 + 8*q + 12. Let y be g(-6). Let u be (-14)\/6*(y + 3). Let c = 9 + u. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53896 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -9*r + t + 82, -3*r = -4*t - 67. Suppose 3*d + 2 = 5*a - 14, -3*d - 4*a + r = 0. Factor -10\/7*i**2 + 18\/7 + 2\/7*i**d + 6\/7*i.\nAnswer: 2*(i - 3)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5200 + -5198. What is the remainder when 228 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -3150.87\nAnswer: -1575.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l + 3*b - 180 = 0, 2*b + 36 = l. What is the third smallest value in 3\/4, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 3*u + 62. Calculate i(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -83516, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186*f*h - 5*f*q - 6*f*r - 2*h*q*r - 2*h + 3061*r with respect to f.\nAnswer: -186*h - 5*q - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/4))\/l**(-6)*(l*l*l**(-1)*l*l*l*l)\/(l\/(l*l*l*l\/(l\/(l**(-3)*l)))) assuming l is positive.\nAnswer: l**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6797*h + 210700. What is t(31)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 149 - -65?\nAnswer: 1ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025486618 to the power of 1\/2, to the nearest integer?\nAnswer: 32023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*h*h**0\/h)))\/(h*h**(-2\/11)*h))\/(h\/(((h\/(h\/h**(2\/7)))\/h)\/h))**(-16\/9) assuming h is positive.\nAnswer: h**(3470\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2574280*p**3*q**2 - 301*p**2 - 10*q**2 - 9*q + 2 wrt p.\nAnswer: -15445680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 83*q**2 + 1124*q - 180. Give l(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22*15\/((-4845)\/418)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 30. Calculate o(15).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**4 + 339795*s**3 + 1019415*s**2 + 1019425*s + 339810 = 0?\nAnswer: -1, 67962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 = -4*v, 0*z = -z + 4*v - 3. Find the third derivative of -z*a**2 + 0*a**3 + 4*a**2 + 2*a**3 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-24))\/(18\/54).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4148*w - 4 + 4111*w + 0 + 4 - 8412*w.\nAnswer: -153*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457896.\nAnswer: 2, 3, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -39*c - 190. Let l be a(-5). Solve -l*v = -19*v + 42 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 80 = -2*b. Is 10 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25155 and -0.5?\nAnswer: -12577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((7 - -1) + 17 + -23 + (18 - 17))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4220.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69098, 136898, 204698, 272498?\n\"Answer: 67800*q + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -145, -138, -113, -64?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 513 - 509. Let k(h) = -2*h**3 + a*h - 2*h - 100*h**2 + h**3 + 97*h**2. Let n(v) = -2*v**3 - 7*v**2 + 4*v - 1. Calculate -7*k(g) + 3*n(g).\nAnswer: g**3 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11001101000111001011 (base 2) to base 3\nAnswer: 1120200110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8511, -3, 5 in ascending order.\nAnswer: -8511, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 233, 1\/10?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g + 0*g)*(g - 2*g**2 - g) - g**3 + 3*g**3 - 4*g**3 + (0*g + g + 0*g)*(53*g**2 - 8*g**2 + 32*g**2).\nAnswer: 71*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366869, -367057, -367245?\nAnswer: -367433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -356317.684419?\nAnswer: -356318.684419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-8)\/(-80))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:39 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 35 + (8 - (-2 + 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/7))**(-3\/4)\/(((c\/(c*c\/(c**(-3)*c))*c)\/c)\/c**(2\/23)) assuming c is positive.\nAnswer: c**(428\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 18. Let t be s(-6). Let r(b) = b**3 + 9*b**2 + 6*b - 11. Let v be r(-8). Sort -3, t, v.\nAnswer: -3, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjjj when four letters picked without replacement from {g: 12, j: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995181 to the power of 1\/2, to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 3*p - 16. Calculate the remainder when 109 is divided by w(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*(l**(-1)*l)\/l)\/l)**17*((l**10*l)\/l*l)\/(l**11\/l) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7066097?\nAnswer: 7066097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - -7) - (-6)\/(-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2670 + -2665. Let a(k) be the second derivative of 6*k - 1\/15*k**6 - 9*k**4 + 36*k**3 + 0 + 6\/5*k**t - 81*k**2. Factor a(d).\nAnswer: -2*(d - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 20088223?\nAnswer: -7\/20088223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7450561.\nAnswer: 41, 181721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 2 z when four letters picked without replacement from zfmfzjkzjzmfzf?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3 - 4.8. Let t = -3380 + 3384. Which is the closest to 0? (a) 5 (b) u (c) -3\/7 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) + -1 + sqrt(1008))**2 + 3)*-1.\nAnswer: -4036 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 + o**5\/10 + o**4\/4 + 3*o**3\/2 + 29*o**2. Give b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 838 and 841913?\nAnswer: 705523094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 571.3013 to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 15 + -8 + 3 + 1. Suppose w + u = 3 + r, 0 = 2*w + 4*u - 16. Calculate the remainder when 21 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 2 = -48 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let l(h) = 204*h - 15. Let q(v) = 42*v - 3. Let m(s) = 5*l(s) - 24*q(s). Calculate m(b(z)).\nAnswer: 12*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.3, 32, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d - 5*d + d + 3*d + (-1 - 3 + 3)*(4*d + 3*d - 5*d) - 2 + 2 - d)*(196*d**2 - 96*d**2 + 22 - 95*d**2).\nAnswer: -25*d**3 - 110*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-18 + -18 + 29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6671 = -5*y, -2*y + 3*g = 3174 - 493. What is y rounded to the nearest 10?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 40905*k + 40905*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:32 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -25836 - 9*d + 25836. Let s(z) = -10*z**2. Calculate f(s(p)).\nAnswer: 90*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/300 - 10*r**2. Solve o(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 15 = 19*l - 24*l, -2*z + 8 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 3, -6.829?\nAnswer: -6.829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 361 and 1121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23483794879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvhdwwwwwvwbawwwvww. Give prob of sequence vh.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q = 80*q - 342 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98084, 98136, 98188, 98240, 98292?\n\"Answer: 52*l + 98032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 90a3d?\nAnswer: 90a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 15. Let r be a(6). Let q = r - 10. Sort 4, 13, q in descending order.\nAnswer: 13, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w + w. Let b be (0 - -1)*3 - 1. Find the second derivative of 2*x + 7*x**b - 7*x**w - 2*x**5 wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-44))\/(-2 - (-130)\/56). Let j = r + 12\/11. Sort j, 9, 2.\nAnswer: j, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53702, 107402, 161102, 214802, 268502?\n\"Answer: 53700*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 351*g - 350*g + 4*m, -3*g - 42*m = 72 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.039? (a) 3 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + -2. Let g(m) = m**3 - 6*m**2 - 5*m + 26. Let a be g(6). Let b be (a\/10)\/(-1) - (-133)\/(-570). Is f < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2814*(-8 + (6 - -1))?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 681*t + 2322. Determine u(-4).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 - -0.7. Let k = s + 5.4. What is the nearest to 2\/13 in 2, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -268 + 111 - 227 - w**2 + 6*w - 27 in the form t + q*w + l*w**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**2 - 237 + 237 to i + u*o + s*o**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1928 - -190874\/99. Suppose 4*k = 10*x - 12 + 42, -20 = 2*x + 2*k. Put -0.6, m, x in decreasing order.\nAnswer: m, -0.6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**2 - f + 7. Suppose 13 = 4*t - 19. Let v(m) = 2*m. Let k(g) = 5*g. Let r(c) = t*v(c) - 3*k(c). Give h(b) + 2*r(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j)**38 assuming j is positive.\nAnswer: j**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 21*f + 1467. Calculate n(-29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 - 420\/(-100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 4*i - 11. Let r(u) = -u**2 + u + 1. Let z(v) = -l(v) - 3*r(v). Let g be z(8). Calculate the greatest common divisor of 112 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:19 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/11)*l)\/(l**(-7)\/l)*(l**7)**(-2\/83) assuming l is positive.\nAnswer: l**(8810\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013375179218 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 - 269*m. Let q(s) = -s. What is q(a(x))?\nAnswer: 4*x**2 + 269*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k - 9 + 4 - k - 2*k**2 - k**2. Let b(j) = -8*j**2 - 20*j - 14. Let r(y) = -5*b(y) + 14*u(y). Factor r(c).\nAnswer: -2*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*v - 6 = -0, -15 = -5*v. Let r = 2.8 + -4.8. What is the closest to r in l, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.155 and -0.01.\nAnswer: 2.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*m - 7*m. Calculate the common denominator of 3\/2 and 11*(m + 62\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 5*s = 14*s - 33. Solve -3*g - 14 = -4*u - 13, 0 = -s*g + 3*u + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/20 + 5*q**4\/12 - q**3\/2 + q**2\/2 + 2*q. Let n be f(4). Suppose 0 = -n*h + 3 + 27. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54 (b) -28 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 16*w - 3. Let v be j(16). Let o be v*(32\/(-6) - -4). Suppose 4*b - o*b = -5*b. What is the nearest to -2\/5 in 5, 18, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l - 30*l - 32 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -1\/2 (b) -1 (c) -2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 20 + 5 - 4 - (-2 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - v = 1387, 0 = 13*v - 9*v. What is the highest common divisor of 38 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(286)*2*-1)\/sqrt(11))\/(sqrt(22)\/(sqrt(44)\/sqrt(4))*5)*1 + -4.\nAnswer: -4 - 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 7799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3. Suppose 22 = 2*p - 2*k, 0*k - k = 2*p - 16. Let w(i) = -5*i + 46. Let z be w(p). Let m(l) = -l**2 + l + 1. Determine z*t(s) - 2*m(s).\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 903 and 516.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6286.6611 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*q - 2*n, -4*q + 33 + 5 = -5*n. Suppose -q*v = -7*v. Solve 5*j + 25 = -v*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/10 - 608\/160\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10985\/(-28)*(-6)\/90. Let y = w + -105\/4. Suppose -5*u = -2*f + 7, 0 = f + f - u - 3. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23*x - 2280. Let m(s) = -9*s + 1139. Determine 10*m(j) + 4*q(j).\nAnswer: 2*j + 2270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**3 - 4*w**2 + 2*w + 4. Let f be b(-3). Let s = -434 - f. Let t be (500\/6)\/((-3)\/s). What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(117)\/sqrt(36))**2 - (-4*sqrt(208))**2.\nAnswer: -13299\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.26 and -3353126447.23.\nAnswer: -3353126447.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68019872.\nAnswer: 2, 2125621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1037579\/1252335 - -2\/35781. Let j = t - 3\/7. Factor j*i - 6\/5*i**2 + 2\/5*i**4 + 4\/5 - 2\/5*i**3.\nAnswer: 2*(i - 2)*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14198788063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48604104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkuqqgqxqkqqkxqqkx. Give prob of picking 2 k, 1 x, and 1 u.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2299) + sqrt(2299) + 5*(1 + sqrt(19)).\nAnswer: 5 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -522, -1044, -2094, -3852, -6498?\nAnswer: -10212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409 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: Evaluate ((1\/(-2))\/1*-5)\/((-49315)\/(-16908)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 137478?\nAnswer: 2749560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -3*h + 188. Let y(l) = 9 + l**2 - 2*l**2 + 1 + 4*l. What is the least common multiple of y(h) and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -902*v - v**3 - 1549*v**2 - 794 + 902*v + 1547*v**2 in the form x*v**2 + l + h*v + j*v**3 and give l.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/4 - 8*a**3\/3 - 7*a**2\/2 + a - 1. Let h be p(-7). What is the nearest to 0.1 in -5, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w - 3 - w**3 + 6*w**2 + 16 + 0*w**2 - 2. Let y be m(5). Let d(r) = 1. Let j(l) = 5*l - 6. What is y*j(t) + 6*d(t)?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1353 + 2?\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 980353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2)\/1*-5923. Suppose v + 5*c - 5923 = 0, 25*v + y = 26*v - c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*k - 123, 2*k + k + g = 139. Let s be (24\/(-36))\/((-2)\/234). Let z = s - k. Solve -4*f - z = -5*a, 3*f - f + 3*a - 11 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224 by -32.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -16 + 8 + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408800 = -40*m + 47*m. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 82.462\nAnswer: 82.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 373323 and 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159724.\nAnswer: 2, 73, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 4, s: 3}. Give prob of picking 3 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, m: 4, g: 2}. What is prob of picking 3 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 51*a - 24*a + 42*a + 40*a.\nAnswer: 115*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/1809 + 182705\/3618. What is the common denominator of i and -75\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 381*u**2 - 11964*u - 7299. What is r(32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o. Let u = -81 + 90. Suppose -32*a + 31*a = -u. Let x(m) = -21*m. Determine a*t(j) + 2*x(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. Let l(s) = -4*s + 7. Suppose 78*h - 34*h + 9 = 35*h. What is h*l(k) + 3*p(k)?\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(a**4 - 5*a**4 + 2*a**4) - 2*a**4 + 3*a**4 + 0*a**4 + (-3 + 18 - 10)*(2*a**4 - a**3 + a**3) + (6 + 13 - 6)*(4*a**3 - 4*a**3 + 2*a**4).\nAnswer: 39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1*(3 - -6)). Put -0.3, f, -2\/21 in decreasing order.\nAnswer: -2\/21, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3366 is divided by 676?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -12. Suppose b = -5*s + 25, 4*b - 25 = -x*s + s. Calculate the common denominator of 43\/5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 61 - 5 = -4*l, 5*l + 4 = -2*f. Suppose -1014 = -f*t + 5*t. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 30. Let h be 3\/q + 30\/9. Solve 3*w + 0 = -h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164432214 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2*(7 + (-91)\/14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = 4*k, -3*k = 2*y - 7*y + 17. Suppose -3*z - 3 = -2*l, -l - 4 = -y. Let w be (-4)\/(0 + 2) + z. Are w and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*t + 931*t = -441*t + 10049 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.72 + 1.12. Sort 0, -5, 5, m in descending order.\nAnswer: 5, m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0 - x - 1\/2*x**3 + 0*x**2. Let m(w) = -251445 + 125719 + 35*w + 125726. What is s(m(y))?\nAnswer: -105*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5084 + -15248\/3. Which is the smallest value? (a) 8 (b) v (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.408 + -0.408. Let w = -44.8 + 44. Which is the second biggest value? (a) w (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -293.5 + 293. What is the biggest value in i, 35, 0.3, 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119761843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/64 and 19\/6656.\nAnswer: 6656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -15*u**5 - 155*u**4 - 1775*u**3\/3 - 1005*u**2 - 720*u - 180 = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33536 is divided by 8062.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3a23 + -6?\nAnswer: -d3a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3225703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 1203*w**3 + 1.\nAnswer: 1203*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r - 51. Let w be z(-12). Let j = -121 + w. Sort 5, 23, j in ascending order.\nAnswer: j, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19541045, 19541046, 19541047, 19541048, 19541049?\nAnswer: 19541050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*(sqrt(170) + sqrt(170)*5))\/(sqrt(70)\/sqrt(7)*-2))**2.\nAnswer: -33048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57370 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1398\/11 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.6 + -7. Let r = 10 - 6. Suppose -14 = -5*k - 3*o, -29*k + 24*k - 4*o + 17 = 0. Which is the nearest to k? (a) x (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 - 0.3. Let u = c + 2.469. Round u to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/2, -33, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {s: 1, w: 1, j: 1, c: 6}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110001100011100 - -1010111111?\nAnswer: 10101110010111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12695 = -25*c + 41770. What are the prime factors of c?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70434\/(-50869))\/((-3)\/(-2)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17288*c - 5761*c - 14*c**2 - 5766*c - 5761*c.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - (6 + 0)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21.435743 and 0.06.\nAnswer: 21.495743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 67*p**2 + 5*p. Let k(y) = 2914*y**2 + 217*y. Determine 5*k(f) - 217*w(f).\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = o - 15 + 7, 0 = 2*o + 5*b - 34. Let u be 4\/(-10)*(-30)\/o. What are the prime factors of (-4 - -21) + -3*u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 147 - 27 = 0. Suppose -2*w + t = 4*a, -3*w = -2*a - 5*w + 18. Calculate the highest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449578673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -65*n**2\/2 - 1. Let i(f) = -f + 3. Let d be i(4). Is p(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64 + -10)\/(-4 + 2). Suppose 52*w - 8565 = i*w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 87377?\nAnswer: -87387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 2*q - 2*q)*(-4 + 5 + 2) - 3*q + q + 0*q - 2*q + 0 + 0)*(-2 + 2 + 3*q**2).\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*-2 + -4*(sqrt(425))**2 - ((sqrt(85) + 4*sqrt(85)*1 - sqrt(85))\/sqrt(5) + -2).\nAnswer: -1698 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49111 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/26, -4, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 11:01 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 13 - 13 + (0*v + 3*v - 2*v)*(5*v - 6*v - v) + (-2*v + 75 + 9*v - 77)*(4*v - 10*v + 0*v).\nAnswer: -45*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -369998*n + 8. Suppose 0 = -3*k + k - 8. Let y be z(k). Round y to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 2*g**3 - 1527*g**2 - 727*g**2 - 849*g**2.\nAnswer: g**3 - 3103*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(1 - 4 - 2). Find the second derivative of -2 - 1 - 8*n**x + 3 + n wrt n.\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - -2 - -8) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 297.5 * -3.\nAnswer: -892.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 153 = -4*k + 5, -2*o = -3*k + 116. Let q be 138\/k + (-2)\/7. Solve 3*j + 5*h = 19, j + 2*h - 4 = q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/2501 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2 - s - 1. Let q(c) = 4*c**3 + 4*c**2 - 3*c - 3. Let g(t) = q(t) - 3*v(t). Factor g(f).\nAnswer: f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -75. Calculate the remainder when x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15884 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 115?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.45 - -25.2. Let r = 2.44859953 + -1.19859864. Let i = r + f. What is i rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -170.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 3*r + 112. Let p = -16 + 7. Let w be p\/(-27) - r\/(-48). Sort w, 2, 2\/11, 5 in increasing order.\nAnswer: 2\/11, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222.6 + -222. Which is the nearest to 0.3? (a) -2 (b) 1 (c) u (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*v + 9 = 6, 3*o - 3*v + 21 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -33. Let r be (-3 - v)*2*2\/(-4). Suppose 3*b = r*b - 15. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10) + 13\/(-30). Let v = -1361\/60 - w. Let h = -48\/125 - -1267\/500. Calculate the common denominator of v and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25519715 >= 25519713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -39*j - 13. Let l be x(-2). Calculate the greatest common factor of l and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from sssssssqsssssssqsss?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -28. Let o = x + 18. What is the highest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-8)*d)\/d)\/(d**(12\/7)\/d))\/(d**(2\/9))**13)**(27\/7) assuming d is positive.\nAnswer: d**(-2193\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.005 + 0.305. Let y be (-2)\/(-11) + (-48)\/990. Sort y, 1, m in ascending order.\nAnswer: y, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - -3728711.\nAnswer: 3728699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*z - 143 + 165 - 1594 - 108 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21155 + 21151. Let r(a) = a + 4. Let y be r(-5). Let c be 3*((y - -6) + n). Solve -c*f = 2*b - 5*b - 9, -4*b = 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*h - 5 = f, h = -f + 7. Solve 0*s - 2*s + 18 = 2*c, -f*s - 13 = -5*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 14*p**2 + 14*p + 7. Let r be l(13). Let k(w) = -25*w + 43*w - r*w. Let v(u) = u. Calculate k(v(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let k(c) = 23*c**2 - 8*c**2 + 0*c**2. Calculate w(k(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -163891000 rounded to the nearest 1000000?\nAnswer: -164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(1\/2)*t*t)**(-42)\/((t\/t**(2\/7))\/t*t)**46)**45 assuming t is positive.\nAnswer: t**(-69885\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**3 - 35*v**3 + 72*v**3 + 31*v**3.\nAnswer: 91*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4*f + 5. Let h(r) = r**2 - 2*r - 4. Let n be h(4). Let z be j(n). Let i = -0.3 - -0.1. Which is the smallest value? (a) z (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 113*w - 611. What is the remainder when 62 is divided by q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*a + 600 = -206*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 != -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - n + 56 = 3*n, -5*n - 20 = -5*c. Calculate the highest common divisor of c and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.731 + 1.731. What is the closest to -1\/3 in -0.05, 27, w?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 164489401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36834, 147445, 331794, 589875, 921682, 1327209, 1806450?\n\"Answer: -u**3 + 36875*u**2 - 7*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 3*c**3 + 9\/2*c**2 + 25 + 12*c + 1\/4*c**4. What is k(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -4399?\nAnswer: -4399.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 + -2572\/13. Let n = 0.25319 - -0.24681. Which is the closest to -1\/5? (a) n (b) -0.4 (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42199*y - 21070*y = 20999*y - 14170 for y.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-1))\/l*l)**3*l**(-1\/7)\/l**(-2\/5) assuming l is positive.\nAnswer: l**(324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 3331410?\nAnswer: 3331403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - -2 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 3*r - 23784 + 23762, 0 = 4*r - 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4 + 5*l + 3*l**2 - 1 + 2 - 3. Let a(i) = i**2 - 6*i + 2. Let v be a(5). Let u be q(v). Solve -5*k = h - 3*h + 18, 4*k - 2*h = -u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g**2. Let j(b) = 13*b**2. Determine j(i(a)).\nAnswer: 1053*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6883 = 3*w, -2*w - 7*m = -12*m - 4627. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v. Suppose 2*y = -10, v = l + 6*y - y + 23. Let d be -1 + 3 - (-7 + -3). Solve -l*r - r = d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 236*k**3 - 2*k**2 + 1. Let x be t(-1). Let p = 460 + x. What is p rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 533.0201mg?\nAnswer: 533020100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 15, 308*g - 2*z = 311*g + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122534351?\nAnswer: 17, 31, 232513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37.513 + -0.033\nAnswer: -37.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1026 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98435040.\nAnswer: 2, 3, 5, 11, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lglglglllfllfiigg. Give prob of picking 1 i, 1 g, and 2 f.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -33, -80, -157, -270, -425, -628?\n\"Answer: -o**3 - 6*o**2 + 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**5 - 2676413*c**3 - 17*c**2 + 371696 wrt c.\nAnswer: -360*c**2 - 16058478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-102)\/24)\/((-1)\/(-136)). Let z = n - -13292\/23. What is the closest to -1\/3 in z, -3\/5, 2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**17)\/f**(-2\/5)*((f*(f\/f**23)\/f)\/f*f*f)\/f*f**(17\/3) assuming f is positive.\nAnswer: f**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 + 8 + (-21)\/12. Which is bigger: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + b**2 + 1. Let l(s) = 6*s**3 - s**2 - s + 67. Let o = 430 + -428. Let m(j) = o*f(j) + l(j). What is the second derivative of m(t) wrt t?\nAnswer: 12*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Suppose u*x - 108 = -2*x. Let z = 20 - 2. Calculate the greatest common divisor of z and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195*37873\nAnswer: 7385235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.046 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -0*l - 2*l + 11, 3*l - 7 = 2*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*p = -38, 2*t - 61 = -p + 3. Put t, -3, -1 in decreasing order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1075 - -1069. Let f(o) be the first derivative of o**4\/4 + 7*o**3\/3 + 5*o**2\/2 + 5*o - 1. What is f(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1)*(-4 - -3). Let n be -10*(-1)\/(-2) - -3. Let a be (-10)\/n*(-2)\/5. Sort -5, i, a in ascending order.\nAnswer: -5, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136581674 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(5*v - 3*v - 3*v) + 2*v - 3*v - 2*v + 83 - 14*v - 83 + (0 + 0 + 2*v)*(0 + 1 - 3) + (-7 + 2 + 4)*(4*v - 3*v - 4*v).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3 + 663*z**2 - 146523*z - 904. Find u such that b(u) = 0.\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170212462 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 7.4\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d + 1. Let k be -1*(d + 0 - 6). Suppose s - 13 = k. Calculate the highest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**8\/112 - z**7\/70 + z**6\/5 + 3*z**5\/5 + 6*z**2 - 1. Factor c(h).\nAnswer: -3*h**2*(h - 3)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + -1 + 2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = 375. Let l = -71 + q. Let b(r) = -r - 2. Let m be b(-5). Solve l*t - 13 = m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 473*u + 4. Let k be 39\/36*3 + 1\/(-4). Let f be x(k). Suppose -7*o + f = -54. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w - 2*w**3 + 2*w**3 + 2*w**3 - 2*w**3 + (-12 + 12 - 3*w)*(w**2 + 0*w**2 + 2*w**2).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.225 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5423 - 23471.\nAnswer: -23471.5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1212849335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3 = -l, 3*d + l = 2*l + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290695, 290691, 290687, 290683?\nAnswer: 290679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/25)\/((-293)\/1465))\/(2\/(-550))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3254 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10543876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854*l = 852*l + 2250. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 1\/4, 1\/5, 26?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 + 5*q. Let v(k) = -7*k**2 - 6*k. Let b(l) = -6*f(l) - 5*v(l). Let t(m) = 3*m**2. Determine b(t(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-2)\/4*4. Suppose 1 = 5*a - 39. Let d = a + z. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 a factor of 1032280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 163?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**3 - 5*j**2 - 2*j + 21. Let m(s) = s**3 - s - 1. Let i(n) = 4*m(n) + q(n). Is i(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-12)\/9)*-64. Suppose 0*m = -3*m + r. Solve m = 3*p - 7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 30413.\nAnswer: 60826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66126?\nAnswer: 2, 3, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.5 - -15. Let g = -4323 + 4320. Which is the biggest value? (a) -0.3 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -97 (b) -14 (c) -167 (d) 5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(32\/(-56))\/(-2). Solve 0 = 4*d - h + 9, 29 = -4*d + 3*h + a*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {m: 1, j: 1, w: 2, a: 1, e: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -4, 1 in increasing order.\nAnswer: -4, 1, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2. Let k(y) = 304*y**2 + 6*y + 5. What is k(l(a))?\nAnswer: 2736*a**4 + 18*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, y: 1}. Give prob of picking 3 s.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(91)*3 + (sqrt(91) - (sqrt(91) + 1*sqrt(91))*4))\/(sqrt(847) - 3*((sqrt(847) + sqrt(847)*-5 - sqrt(847)) + sqrt(847)) - sqrt(847)))**2.\nAnswer: 5*sqrt(13)\/33 + 4681\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 869 by -79.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + x**2 + x**3 - x - 12 + x**2 to w + y*x**3 + f*x + o*x**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:07 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Suppose 0 = -3*m - m + 5*o - 33, 0 = 5*m - 3*o + 25. Let v(u) = 2*u**2 - u. What is m*v(r) + 2*b(r)?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 - 7*j + 5. Let c = -11 - -5. Let w(q) = -q**2 + q - 1. Suppose -5*i = 2*x + 3 - 0, 0 = -5*i - 5*x. What is c*w(d) + i*u(d)?\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -93*r**3 + r**2 + r - 1. List the prime factors of y(-1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**3*r*t**2 - 120*g**3*t**3 + 2*g**2*r*t + 25244*g**2*t**3 + g*r*t**3 wrt g?\nAnswer: -42*r*t**2 - 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 9*k**2 + 15*k + 15. Does 11 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*n + 63 - 58 + 56*n**3 - 164*n as d*n**3 + w + o*n + m*n**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((sqrt(931) - -2*(-1 + sqrt(931))) + sqrt(931))**2 - (-4 + (((sqrt(931) + sqrt(931)*-1)*-1)**2 - sqrt(931)) + sqrt(931))*-3.\nAnswer: -224*sqrt(19) + 29790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*b = -3, -5*b + 7 = 4*p - 5. Calculate the remainder when -1 + 2*(-5)\/(-2) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/9)\/(5\/((-330)\/(-12))))\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1711\/7416 - 7\/824. Which is the nearest to w? (a) 2 (b) -5 (c) 0.5 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -209, -654, -1527, -2972, -5133?\n\"Answer: -24*n**3 + 2*n**2 + n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*w - 63 = 0, 2*w - 367 = -0*s - 5*s. Suppose 40 = -5*k + s. Solve -14 = -d - 4*t, -4*d - t + k = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 2, n: 1, t: 1, l: 1, u: 2}. Give prob of picking 1 l and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4)*-2*0. Suppose -3*z - 6 = -z + 2*x, p = 3*x + 12. Suppose 4*l + z = 13. Sort 0, l, -2 in descending order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = -0*z. What is the greatest common divisor of z and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 e when three letters picked without replacement from vecvcvevevcc.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1248 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 26*l - 123*l + 65*l in the form s*l**2 + f + v*l and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, 1 k, and 1 w when four letters picked without replacement from {r: 2, x: 1, t: 8, f: 2, w: 3, k: 1}.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 - 7445*t**2 + 20*t + 251?\nAnswer: 24*t**2 - 14890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421 by 1.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2089, -4154, -6219, -8284, -10349, -12414?\nAnswer: -14479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2) + 3 - ((sqrt(128)*5)**2 + sqrt(128) + sqrt(2)).\nAnswer: -3197 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3309 - 8065 + 1586)*(0*g - 4*g + 2*g) + 3*g + 2*g - 4*g - 2*g - g + 4*g + g + g - g to f + s*g and give s.\nAnswer: 6343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021201 + 2?\nAnswer: -1021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2644*s**2 - 2650*s**2 + 0 + 0 - 24*s to the form b*s**2 + y*s + j and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 + 10*q - 8. Let a be l(8). Suppose 33*r + a = 37*r. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (3 + -1 + -2). Put -4, 2\/5, y in increasing order.\nAnswer: -4, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -2, -4 in descending order.\nAnswer: -0.3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113192533687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**4 + 3565*b**3 - 843185*b**2 + 65570415*b + 134542170 = 0?\nAnswer: -2, 217, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/144 - o**5\/15 - 5*o**4\/12 - 19*o**2. Let n(m) be the second derivative of g(m). What is the units digit of n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-3 + 4) - -14 - -34?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -494*a**2*o - 2*a*o + 132*o + 1 wrt a?\nAnswer: -988*a*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134276 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*h + 4*h + 14*h + 15*h - 11*h as n + g*h and give g.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 - (3 + -7) - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 164 = 58. Calculate the greatest common factor of 333 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 467507 - -0.3.\nAnswer: 467507.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 26 + 11 = 0. Let v(z) = -z**2 + 3*z + 2. Let u be v(3). Suppose 0 = -o*c + u + 1. What is the third smallest value in 4, -5, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.31 + -13.69. Let b = 14.4 + d. What is the third smallest value in b, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.6. Suppose 6*x - 4*x = 0. Suppose x = 6*b - 3 + 9. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019662985?\nAnswer: 5, 11, 151, 122777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837317837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 812*d - 1.\nAnswer: 812*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 18 - 4*d**3 + 21.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmqbzreme. What is prob of sequence mb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -33793, 1, 6.\nAnswer: -33793, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 20*n**2 + 4*n + 1. Let l be v(-3). Let a = l + -67. What is the remainder when 6\/(-4)*a\/(-9) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1624.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 161*w**5\/20 - w**3\/3 - 67*w**2\/2 + 26*w - 4. Find the second derivative of h(t) wrt t.\nAnswer: 966*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74696455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.333 or 0.02?\nAnswer: -0.333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 6. Let g = -4 + m. What is the smallest value in 0, g, 1\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1301?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849004993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1957, 1933, 1879, 1783, 1633?\n\"Answer: -2*z**3 - 3*z**2 - z + 1963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Suppose -j*o + 5*v + 39 = 0, -10 = -3*o - 2*v + 8. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5124194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2*m - 1. Let v be g(-1). Let u(w) = -7*w - v*w - 8*w + 2*w. Let k(d) = -3*d**2. Give u(k(q)).\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0175413 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93714 + -37643. Let c = -20929 - a. Round c to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4279*d**3 + 1441*d**3 - 4 - 1 + 1412*d**3 + 1427*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 3*k**3 - 5*k.\nAnswer: -3*k**3 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11))**12*l**(6\/5)*l*l\/(l\/(l*l**0)) assuming l is positive.\nAnswer: l**(56\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 26 = s - 2*y, 2*s + 4*y = 92. Let v be 3\/9 + (-6)\/s. What is the third smallest value in -5, 0.3, 2\/3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320614 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 27165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -42. Let f(t) = -7 - 1 - x + 1 + 3*t. Let p be f(4). Solve 8*s - p*s = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10664 + 479849\/45. What is the common denominator of 24\/(-10) - ((-137860)\/3600 + 33) - 2 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-154)\/1430*5\/48*-10 and -29\/36.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 14, b: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 27 = 11. Let q(a) = a**3 + 10*a**2 + 8*a - 6. Let b be q(y). Suppose i - 159 = -b. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -33*q**2 + 12. Let j(d) = 35*d**2 - 15. Let p(a) = -4*j(a) - 5*s(a). Let m(y) = -12*y. Give p(m(w)).\nAnswer: 3600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1659, 3471, 5447, 7593, 9915, 12419, 15111, 17997?\n\"Answer: c**3 + 76*c**2 + 1577*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678 (base 12) to base 15.\nAnswer: 43b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 46*k + 99*k - 50*k + 21, -5*u - 4*k - 28 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2. Let u(w) = 2*w**2 + 39*w - 14. Let x be u(-20). Let y(n) = -176*n + x*n**2 + 1 + 87*n + 89*n. Give y(s(h)).\nAnswer: 6*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8346000175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 = 3*b. Let n(r) = r**2 - 1 + 4 + 7*r - b*r. What is the units digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-5))\/(8\/(-100)). Suppose f*q - 6*q = 48. What is the lowest common multiple of 22 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*z + 10*z**3 + 29*z - 5*z**3)*(2 + 1 - 2) in the form n*z**3 + o + f*z + s*z**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18 + 44*k + 11*k**2 - 30*k + 29. Let w(c) = -4*c**2 - 5*c - 4. Suppose 0*t = -t + 13. Suppose t + 19 = 4*i. Calculate i*w(m) + 3*y(m).\nAnswer: m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Let n(x) = -2*x - 2. Let z(q) = -n(q) - t(q). What is z(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 586 and 10.\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-63)\/(-6) - 1) + (-9)\/6. Let r(i) be the second derivative of -9*i**2 - i**4 + 5*i + t*i + 5*i**2. Differentiate r(x) with respect to x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**3*w**3 + 63009*d**3*w + d**3 - 1286*d**2 + 42*d*w**3 + d*w**2 wrt d?\nAnswer: 36*w**3 + 378054*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44.9 and 939.\nAnswer: -42161.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/5340 and -63\/22.\nAnswer: 58740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 + d**3\/6 + d**2\/2 - d. Let g be j(2). Let n be -8 + 1 + 3 + 0. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**3 - 4*f - 4. Let u(v) = v**3 - v - 1. Determine 3*i(a) - 12*u(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/2 - 1331363*v\/2 - 1331365 = 0.\nAnswer: -2, 1331365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98257 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 l = 15 - -2. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57304201\/10 + 5725476. Let j = d + 4948. Find the common denominator of j and -61\/51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2698, 0.05, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9 - 7*t**2 - 5*t**2 - 2*t - 8*t + t**3 - 2*t. Let m be x(13). Solve m*h + 2*l + 20 = 0, -5*l + 9 = 3*h + 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.79 + 3.8. Let w = m + 1.09. Which is smaller: -2\/7 or w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 9, t: 1, g: 5, c: 1}. What is prob of picking 1 c and 1 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/561 and 4\/27.\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0014 + 75.0014. Let t = q + -77. Let p = -0.3 - -0.5. What is the nearest to p in -0.1, 5, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g + 3*h + 47, -128 = 5*g + 4*h. Let l = g + 59. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 0*t**2 + 3*t**2 - t**2 + t**2 - t**2 - 4*t**2 + 2*t**2 + 3*t**2 + (1 - 1 - 2*t)*(4 - 2*t - 4) + 0 + 8 + 0 - 2*t**2.\nAnswer: t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000409 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (1 - -1))*0. Suppose -5*f - 2*j = -2, t = -3*f + 4*j - 1 - 3. Suppose 2*w + f*w = 72. What is the remainder when w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120035.061ns in days?\nAnswer: 0.0000000013892946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 54*c - 472. Determine r(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1614, 1754, 1894, 2034, 2174, 2314?\n\"Answer: 140*g + 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 - 6*p - 2. Let a be l(-5). Suppose -2*z - 19 = -a*n, 5*n - z = z + 25. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 + 2. Let h = -10 - -10.3. Let b = -1360 + 9522\/7. What is the nearest to b in h, 1\/7, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -1535*k**3\/3 - k**2\/2 + 1363*k - 3044. Find the first derivative of z(r) wrt r.\nAnswer: -3070*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fynyfylxnfnny. What is prob of picking 2 y and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 746710 and 26848?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 33*z + 22 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*d = -d + 167, -4*b = -3*d + 200. Let l = b - -161\/3. Suppose 1\/3*x**2 + l + x = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*n - 3, 38*u = 42*u + n + 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 62 = -4*t, -5*d + 0*t = t - 177. Calculate the greatest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Let q be -4 + (-17)\/(-3) + -2. What is the closest to q in -1, x, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 250 + 30 = 0. Let r = m - -117. What is the greatest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 12*j + 39. Let k be i(6). What is the nearest to 2 in 4, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 20, 0 = 4*v - 5*f + 12. Suppose k + v = 3*k. Is k at most as big as 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 5604494?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338827 and 874?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*l**2 + l - 419*l**2 - 370*l**2 - l.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 110, 258, 502, 842?\n\"Answer: 48*u**2 + 4*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v**5)\/v)*v\/(v\/(v*v**(1\/9)*v))*v*v\/(v\/v**19*v)*v*v*v**(-1\/3) assuming v is positive.\nAnswer: v**(169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*p*s**2 + 2*j*p*s - 6*j*s**2 + 13*j*s - j - p*s**2 + 2*p*s - 2311*s**2 + 51*s wrt s.\nAnswer: -2*j*p - 12*j - 2*p - 4622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7748 and 20?\nAnswer: 38740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.11?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646836 divided by -2?\nAnswer: -823418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)*-1 - 0. Let n be t - -1 - (-63 - 12). Suppose n = 5*u - 5. Calculate the remainder when 44 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 10.2. Let o = 10.1 + g. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 0.0288.\nAnswer: -0.02016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64, -128, -192, -256, -320?\n\"Answer: -64*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1517 * -2528.\nAnswer: 3834976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = 13 - 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**7\/2205 + 4*m**6\/315 - 59*m**5\/630 - 4*m**4\/63 + 20*m**3\/21 - 2463*m**2 - m. Let z(r) = 0. Calculate r.\nAnswer: -1, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 195208 and 23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292143537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1021 (b) -23933 (c) -4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24821865?\nAnswer: 3, 5, 551597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*p)*(4 + 4 - 2) + (-10*p - 4*p - 160*p)*(1 + 1 - 3) to q*p + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -61457*h. Let p(d) = -6*d**2. Determine p(w(u)).\nAnswer: -22661777094*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*d**2 + d**3 + 205*d**2 - 71*d**2 - d - 60*d**2 to q*d**3 + n*d + l + x*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -679.3 and -0.7?\nAnswer: 475.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2548 divided by -637.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-10) + 2\/5. Suppose p + v - 7 = 0, 3*p + v = 5*p - 14. Let u = p - d. Solve -5*c = -1 - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 30576 = -26*g. What is the remainder when g is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19501\/6 + -3251. Let i = 0 + 0.2. Which is the smallest value? (a) j (b) 1 (c) i (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39.47 in 2, -1\/3, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 2\/211 (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*g**2 - 2*g**3 - 133*g**2 + g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, r: 10, l: 5, u: 2}. What is prob of sequence llll?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560293517 is divided by 2540?\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 70 = -41*a, -258*y + 253*y - 5*a = 70 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3 - 22. Suppose q*c + t - 56 = 0, 8*c - 3*c = 3*t + 72. Let k be 0*(-2 - -1) - -18. What is the greatest common factor of c and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from vyqqaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101.87 - -99. Let s = 0.13 - m. Suppose 3*t + 2*p - 15 = 0, -3*p + 13 = 2*t + 3. Which is the second biggest value? (a) 14 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*q, -2*z + 3*q + 24 = 5. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*y**(1\/4))**(-7\/2)\/((y**(2\/15)*y**(-3))\/(y**(1\/2))**(6\/23)) assuming y is positive.\nAnswer: y**(7789\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 13191.9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.132 * -96.\nAnswer: -12.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1576*q**2 - 10412*q - 14520.\nAnswer: -4*(q + 2)*(394*q + 1815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 21 (b) 2 (c) 5 (d) 3 (e) -17 (f) 3\/262\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/392400 and -19\/98100.\nAnswer: 392400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3351.84s to minutes.\nAnswer: 55.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -283?\nAnswer: -1\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 21*b - 162. Let i be x(6). Sort -5, i, 5, -2 in ascending order.\nAnswer: -5, -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9*h + 55. Let a(s) = -s. Let r(m) = m. Let g(f) = -7*a(f) - 6*r(f). Let u(c) = -2*c. Let i(w) = h*g(w) + 6*u(w). Let n(l) = -l. Give n(i(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 15*g + 11. Let p be r(-11). Let o(s) = 20*s + 1. Let f be o(-5). What is the remainder when 6\/p - 5463\/f is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*i = -2*j + 138, -i + 174 = -5*j. Let s = -33 - j. Suppose -s*z + 49 = -7. What is the remainder when 54 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363027.\nAnswer: 3, 7, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93*x**2 + 42*x**2 + 266*x**2)*(-4*x + 0*x + x)*(-5 + 0 + 3) to the form c*x**3 + u*x + d + a*x**2 and give c.\nAnswer: 2406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-9)\/y*y*y**(-4\/3))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-2)\/4 - -4. Let l(z) = 2*z**3 - 31*z**2 - 16*z. Let u be l(16). Solve d*h + 21 - 6 = u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -7\/139, 6, -0.1 in ascending order.\nAnswer: -44, -0.1, -7\/139, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*m = 2*m. Is m - ((-46)\/(-115) + (-7707)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4227*j**3*w**3 + j**3 + 4*j**2*w**2 + 7466*j*w wrt w?\nAnswer: 25362*j**3*w + 8*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 2*h - 2. Let z(a) = 37 - 20 + a**2 - 18. What is x(r) - 4*z(r)?\nAnswer: 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*c*g**6 + 2*c*g**4 - 2*c*g**2 + 45*c + 2*g**2 wrt g.\nAnswer: -16080*c*g**3 + 48*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + h**2 - 4*h + 3. Is q(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 188298, -221 in increasing order.\nAnswer: -221, 0, 188298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 65. Let k(n) = d*n**2 + 0*n**2 + 25*n**2 + 3*n**2. Let q(o) = 2*o**2. Calculate q(k(z)).\nAnswer: 3528*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/3 - 145598224*j\/3 - 2649855353994272\/3 = 0.\nAnswer: -36399556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2032, 1730, 1204, 448, -544, -1778, -3260?\nAnswer: -4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76369 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 14*y + 639. What is j(16)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51964*w**3 + 51971*w**3 - 103937*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/24, 0.11, 12, -5, -0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a + 7. Let v be c(0). Let h be 0 + -1 - (1 - 5). Sort 1, v, h in decreasing order.\nAnswer: v, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137490 = -1758*u - 43584 for u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29895.55ml to litres.\nAnswer: 29.89555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from gllgwgluegewewg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 j when three letters picked without replacement from jjttttt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 163 - 73 + p**2 as z + r*p + k*p**2 and give z.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 414114 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/90 and (-130)\/162*((-27 - -10) + 18).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 5\/(-25))*(-25)\/(-2). Suppose -n*g + 3 = -97. Solve 4*f - 2*z = -3*z - g, 0 = 2*f - 4*z + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2*v**3\/3 - 20*v - 5308. Let u(j) = -2*j - 21. Determine u(a(z)).\nAnswer: -4*z**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740771?\nAnswer: 743, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.87732 - 0.12448. What is k rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*h - 64*h - 120. Let z = h - 33. Sort 4, 0, z, -3 in decreasing order.\nAnswer: 4, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26092 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 + 1)\/(288\/32))\/1. Is -3\/5998 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0826649532 rounded to 3 decimal places?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 2462.\nAnswer: -7386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.8. Let j = -61\/3 - -21. Let x be (3 - -2)*2\/(-4). Which is the second biggest value? (a) j (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -k - 5, 4*f = -2*k + 6. Suppose 10 = -3*l + 4*u, -u - f - 2 = -4*l. What is the smallest common multiple of 9 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 467478 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268527, -536988, -805395, -1073742, -1342023, -1610232, -1878363, -2146410?\nAnswer: -2414367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41782 + 122087\/3. Let m = -215135\/198 - f. Find the common denominator of 17\/180 and m.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 266 (c) -8\/35163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 13. Let b = 15 - i. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -4, 22, -0.2, 2, 2\/99?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**3\/3 + 17*n**2\/2 + 138*n - 281. Calculate the remainder when d(-19) is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 2) in base 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 1:58 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5186235377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 4*d - 0*d. Let v(w) = -105 + 27 - 15 - 123 + 9 - 38*w. Calculate the remainder when d is divided by v(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183\/143 + 32\/13. Let b be (-1195)\/117 - (-1 - -1). Let g = 36\/13 + b. What is the common denominator of g and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -3, 0.06, -8, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -17) + (-3 - -5 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Let x be ((-8)\/12)\/(-2) - (-14)\/3. Suppose -4*s = 4*p - 24, -2 = -x*p + 2*s - 0. Solve -f = -i - 1, 0*f - l = p*f - 5*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 1. Let t be u(-3). Let k be (-12)\/45 - 2\/(-3). Which is the closest to -0.2? (a) t (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296157218*b**5 + 12*b**2 + 423*b + 162?\nAnswer: -17769433080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 444 + -448. Which is the nearest to 0.05? (a) 0.5 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9125 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -k + 44, 3*n - 16 = 3*k - k. Let r(x) = 2*x - 2. What is the units digit of r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(6 + 104\/(-8)). Is -3 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -29. Solve -4*w = -u*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Suppose 4*x = -u*l + 910 + 344, 0 = -5*x + 5*l + 1575. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 547 + -1045\/2. Let z = p + -121\/5. Let a be 1\/(-1*(0 + -1)). Is z at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18020*c - 10929. What is n(1)?\nAnswer: 7091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27.65 times -5687\nAnswer: 157245.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72628 and 272084?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1)*(-12 - 833\/(-85))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 36*j**2 - j**2 + 75 + 47*j**2.\nAnswer: 82*j**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 57650 times -0.1\nAnswer: -5765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 21*j**2 + 3*j - 1. Give n(21).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71515 is divided by 7140?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, 0.2, -3, -4942\/3, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, 0.14, -5 in decreasing order.\nAnswer: 1, 0.14, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 15*b - 45. Solve -5*w = -b - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96248 is divided by 126.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24078.\nAnswer: 2, 3, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1546, 1668, 1890, 2260, 2826, 3636?\n\"Answer: 8*g**3 + 2*g**2 + 60*g + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 9*h - w, 34660*h + w - 10 = 34664*h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 4. Suppose b*k + 180000 = 2*k. Round k to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 5, -0.3, -1, 483, -0.12 in ascending order.\nAnswer: -1, -0.3, -1\/8, -0.12, 5, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 9. Let j = -2 + n. Suppose 0 = 2*t - 7*t. Is t >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 5) to base 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 17*t - 17. Let f be n(6). Suppose -f = -3*k + 299. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -15*g - 5. Let b(d) = -16*d - 5. Determine 3*b(x) - 4*v(x).\nAnswer: 12*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*r - 7*r**2 + 2*r + 135 - 135 wrt r?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - 35. Let k be x(0). What is the common denominator of (2\/k)\/(2\/(-190)) and 34742\/(-6699) + 6\/63?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 3*z + y*z = -2*z. Solve -3*n + n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v - 7. Let y(g) = -5*g - 4. Suppose 2*n + 3*d = 19, -3*n + 3*d + 30 = 8*d. What is n*y(p) - 3*r(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -60375*y. Let l(i) = 83*i**2 + 5*i. Calculate l(t(k)).\nAnswer: 302546671875*k**2 - 301875*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - 209. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -7*n**4\/4 - 2*n**3 + 2. Let z(d) = -20*d**3 - 17*d**2. Give -17*w(r) + 6*z(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44*-503819\nAnswer: 22168036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o = 12*o - 216. Factor 3*n**3 - 3\/5*n**5 - 24\/5*n - 12\/5 + 3\/5*n**o - 3\/5*n**2.\nAnswer: -3*(n - 2)**2*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/72)\/(1*4\/16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 + 11820*a**4 + 593988*a**3 + 4567508*a**2 + 7023480*a - 12196800 = 0. Calculate a.\nAnswer: -2904, -42, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57799*o*q**3 - 4*o*q**2 + 5*o + 3*q**3 - 5*q**2 + 40*q + 48 wrt o.\nAnswer: 57799*q**3 - 4*q**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2. Let z(s) = 231*s**2 + 49*s - 49. Let a(l) = -29*l**2 - 6*l + 6. Let r(f) = -49*a(f) - 6*z(f). Determine m(r(j)).\nAnswer: -1225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edd when three letters picked without replacement from {e: 1, d: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -8\/75*y**3 - 1\/125*y**5 + 19\/150*y**4 - 9\/25*y**2 + 13*y - 1. Let d(m) = 0. Calculate m.\nAnswer: -1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99.093 - -1.107. Let v = h + 67.5. Let q = v + -159. Round q to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-598.\nAnswer: -2392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p + 104 = 0. Suppose 2*f - 26 = -3*u, -2*u - 8 = -5*f - 0. What is the least common multiple of u and p?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 1087208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3369, 4, 2, 7, 0.\nAnswer: -3369, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -225430321 + 4?\nAnswer: -225430313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 8 (c) 1\/59255 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thtghhhthgt. Give prob of picking 3 h and 1 t.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4 - 10 - 5*r + 4*r. What are the prime factors of b(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 4*q**2 - q**2)*(-1 + 1 - 2 + 2*q**2).\nAnswer: -2*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 - 5 = -5*m, 19 = 2*i + 5*m. Solve 0 + 2\/7*w - 2\/7*w**i = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f - 178 = -27*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743469527 a multiple of 3791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 10926*f**2 + 3855928*f - 11469504.\nAnswer: 2*(f - 5084)*(f - 376)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 1, c: 2, d: 2, k: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3\/6 + 2*b**2 + 40*b. Let a = 7 - 1. Let q be 56\/21*a\/(-4). Give f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(4\/(-22))\/(((-8400)\/34100)\/84).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14040 = 3*q - h, -5*h + 15490 = 5*q - 7930. Let t = q - 2731. Round t to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -179, -242?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 71*o**2 + 39*o + 187. Is h(70) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2*g - 2*g**2 - 2 + 2 - 1. Let y(t) = 11*t + 5. Suppose 3*w + 11 = -n, -2*w = 5*n - 0*w + 42. What is n*m(b) - 3*y(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -66, -84, -86, -66, -18, 64?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2324 + 3747703?\nAnswer: 3752227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22496940 and 3402?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6431, 24360, 54291, 96224, 150159, 216096, 294035?\nAnswer: 383976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57718925 and 1049435.\nAnswer: 57718925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 11*p + 7. Let j(m) = -m. Suppose 1 + 14 = -3*d. Let o be -3*((-2 - (-46)\/6) + -6). Let t(k) = d*j(k) + o*v(k). What is t(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = w - 1, -d - 6 = 3*w. Let y = 9 + w. Suppose -4*x - 4*r = -1760, 4*r - 2*r = -y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(108)*2 + (sqrt(27) + -1 + sqrt(3) + (sqrt(48) - (1 + sqrt(48))))**2).\nAnswer: -12*sqrt(3) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 - -2 - (-21 - 120))*(-364)\/(-5).\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:49 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p**2 - 150*p - 333. List the prime factors of m(47).\nAnswer: 2, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659359159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28))\/((-504)\/(-96)*2\/(-54)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 1, p: 7}. Give prob of sequence pyhh.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f**4 + 0*f**4 - 5*f**4)*(587 + 268 + 383 - 351 + 280).\nAnswer: 11670*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (572\/48)\/(-13) - ((-432)\/64 - -8).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1000293023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/4 + 13*k**3\/3 - 6*k**2 + 23*k - 11. Is i(12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*d - 2 + 2\/5*d**2.\nAnswer: 2*(d - 1)*(d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13563909?\nAnswer: 3, 17, 29, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(44)\/(sqrt(22)\/sqrt(2)))*-6.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323.115 - 296.1. Round p to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 9*r**2 + 3*r + 30. What is the remainder when 14 is divided by s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 11937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 1.2. Let u = -0.24 + 0.04. Let j = 41 - 125\/3. What is the nearest to j in m, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y - 279. Let t = -213\/2 - y. Suppose f + 0*f + 11 = 3*a, 3*a + 3 = 0. Which is bigger: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303898.\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -2010133123?\nAnswer: 2010133132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (0 + sqrt(75))*-6 - (sqrt(75)*-2*3 + sqrt(75) + 4*(sqrt(75) + (sqrt(75) + -1 - sqrt(75) - sqrt(75)) + sqrt(75)))) + 0)**2 + -2.\nAnswer: -400*sqrt(3) + 1937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 57.9. Let c = f - 12. Let q = 0.4 + c. What is the third biggest value in -0.1, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22 + (-8)\/(4\/2). Suppose 0 = -y*n + 9*n + 54. Suppose n*a - 10*a = -12. Sort a, -3, 5, 0 in decreasing order.\nAnswer: 5, a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3220015 rounded to four decimal places?\nAnswer: -0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psr when three letters picked without replacement from rrrijprijprpptjjtjps?\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61.0833 tonnes?\nAnswer: 61083300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -25 + 25 + -2 + (-57 - -2). Let r be p\/4 - (3 - (-52)\/(-16)). What is the second biggest value in r, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 39 + 216 = -32*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 5*f**2 - 3*f + 5. Let q be i(-5). Suppose t = 5*t + q. Let k(m) = -m**3 - 5*m**2 + m - 3. Determine k(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59010 is divided by 74.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -11. Suppose q*c - 17*c = -20. What are the prime factors of (-1536)\/(-42) + c\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -c + 5*c + 8, 0 = -2*h + c + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u + 30. Suppose 0 = -h - h + u. Suppose 9 = 5*q - 1, q + 4 = -h*w. Let d(a) = -7*a. Calculate d(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97503370?\nAnswer: 2, 5, 31, 314527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n + 5. Let x be k(0). Suppose x*l - 5*z = 3*l + 138, 0 = -3*l + 4*z + 200. Let i be 4 + (-4)\/l*86. Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 82 = -4*r. Do -19 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5652177211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0*h + h - 107*h**3.\nAnswer: -107*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 70 = 2*j. Let x(d) = -d**2 - 16*d - 3. Let s be x(j). Solve -2*c + s = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(425) - (sqrt(425) + -1)**2*2 - ((-1*sqrt(85)*-1)\/sqrt(5))**2)*-5).\nAnswer: -4348 + 125*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4629 - -1c?\nAnswer: -460c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 15*i - 37. Let n be m(8). Suppose 3*s - 827 = 2*u, -3*s + 2*s + n = -u. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3220111 + -104?\nAnswer: -3220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14481762 - -4.\nAnswer: -14481758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 105521.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29, 3, 2\/5, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.5 * -0.164.\nAnswer: 1.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 368, 0.33, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 734 + -607. What are the prime factors of l?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, -2, -1, 61891, -4 in descending order.\nAnswer: 61891, 25, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 6. Suppose -m - 3*m + z = 0. What is the least common multiple of 2 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 - 51*n**3 - 54*n**2.\nAnswer: 120*n**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 28457192.9 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 489*y**2 - 30552*y - 5656140.\nAnswer: 3*(y - 105)*(y + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 9*g**2 - 8*g. Let k be o(8). Let f = -180 + 155. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -24. Let q(d) = d - 20. Let f be q(0). Let s = -141\/7 - f. Which is the third smallest value? (a) s (b) n (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557*j + 559*j - 218 = 0. Let o = -110 + j. Sort 0.5, o, 5, 9\/7 in descending order.\nAnswer: 5, 9\/7, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5. Let p(w) = -w - 9. What is -3*c(i) + 2*p(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from uvuvvuvvvvvvmvm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -28473, 4 in descending order.\nAnswer: 4, 0, -28473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380139432?\nAnswer: 2, 11, 1033, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*j - 45. List the prime factors of (1072\/(-10))\/(j\/(-70)).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 76 = 2*c, -5*c = z - 0 - 30. Solve -2*a = 5*o + 2 - 1, -5*a + 5*o - z = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1)\/((-3)\/((-3)\/11))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**6\/165 + 3*x**5\/110 - x**4\/22 + x**3\/33 + 14*x. Determine k so that j(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1744 + 3214. Calculate the greatest common factor of j and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-15)*g**(-5)*g**3\/(g\/(g\/(g\/(g\/(g**(1\/6)\/g))*g)*g)) assuming g is positive.\nAnswer: g**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/3 - 17*w**4\/2 - 2*w**3\/3 + 8*w**2 - 199. Find the third derivative of v(u) wrt u.\nAnswer: 120*u**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46259.079 - -0.0133?\nAnswer: -46259.0657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 15*o - 56. Let d be g(-10). Let a be ((-5)\/d)\/((-9)\/(-54)). Factor 13\/8*i**3 - 3\/2*i**2 - 3\/4*i**4 + 0 + 1\/2*i + 1\/8*i**a.\nAnswer: i*(i - 2)**2*(i - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}