diff --git "a/data/dm_maths/full_data_2/11079_11255.jsonl" "b/data/dm_maths/full_data_2/11079_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11079_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 0 + (-3)\/((-90)\/12)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/(-12) - ((-14)\/4 - -2). Let n(l) be the second derivative of -1\/6*l**3 + 0*l**2 + o*l**4 + 0 + 4*l. What is the second derivative of n(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 6, y + x - 4 = 3*x. Suppose p = 5*a + 11, y = 3*p + 2*a + 5 - 4. Let v = -6 - -3. Sort p, -1, v.\nAnswer: v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)*o*o)\/o)\/o**(5\/4)*(o\/(o*o*o**(-1)))**(-15) assuming o is positive.\nAnswer: o**(-17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -9 + 1 + 0. Sort -4, 3, n in descending order.\nAnswer: 3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 17. Let f = o - 11. Which is the third smallest value? (a) f (b) -1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442 by 70.\nAnswer: -221\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:02 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -9*k + 18. Let i be (10\/(-4))\/((-3)\/k). Find the third derivative of 0*z**6 + 29*z**4 - 2*z**2 - 29*z**4 - i*z**6 wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-48)*-4*(-2)\/(-7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 584 - 318. Suppose 3*s - v = -2*n + 7*n, 5*s - 426 = 4*n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 5*s + 13. What is the units digit of i(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - x + 0)*(-x + x - x) - 2*x**2 + 0 + 0 + 0*x + 0*x + 2*x**2 + (-x + x - x)*(2*x - 3*x + 0*x) - 45*x**2 + 481 - 481.\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -27500 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/(8\/20). Find the second derivative of 0*q**a - 3*q**3 + 2*q + 4*q**3 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:45 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/6 + 4*y. Let o(c) = -5*c - 3*c + 5*c. What is o(r(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -33376.\nAnswer: -33387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 0 - (46 + -4 - 37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 2*y**4 - 6*y**4 + (-10162*y**4 - 4259*y**4 + 20244*y**4)*(0 + 1 + 1)*(0 + 3 - 5).\nAnswer: -23294*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14.3296 * -1.9\nAnswer: -27.22624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + sqrt(17) + sqrt(102)\/sqrt(6).\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 44*b + 46. Let q be l(21). Suppose -16*m + q*m = -48. Solve -4\/7*p + 2\/7 + 4\/7*p**3 + 6\/7*p**m - 8\/7*p**2 = 0 for p.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - c = -1 + 13, 0 = -4*w + 5*c + 12. Let l(b) = b - 4. Let i be l(w). Suppose u = -x - i*x + 9, 2*x = 2*u - 6. Solve -u = -m - m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3087 is divided by 240.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 72 = -2*y + 4293, 2619 = 3*i + 5*y. Suppose 26*d - 977 = -i. Let 46\/7*s**d - 4\/7 + 6\/7*s**2 - 12\/7*s**5 - 50\/7*s**3 + 2*s = 0. What is s?\nAnswer: -1\/2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355409981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*n - 3*k, n + 19 + 3 = 5*k. Suppose -n*w = -2*v - 4 + 10, 10 = v - 5*w. Let p = 0.1 + -0.1. Which is the closest to v? (a) p (b) 1\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000149696 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*y + 42, -4*i - 2*y + 84 = -3*y. Let r be i*((-15)\/7 + 3). What is the greatest common divisor of r and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (8 + 0 + 44 + -48) - -43\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 4 = 39*v + 42. Let n be (-12)\/66 - (-140)\/(-198). Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 34*v + 93. Let o be m(0). Solve -101*p + o*p = 48 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 2225*n**2 - 2408531*n - 9071. Give g(3022).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/312816 and -121\/2548?\nAnswer: 4066608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110110101101011110110001?\nAnswer: 110110101101011110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n - 24. Let y be l(-2). Let o(m) = m**2 - m - 14. What is o(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9435*(10 + (-1 - 248\/24)). What is the greatest common factor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1304, 5208, 11722, 20852, 32604, 46984, 63998, 83652?\n\"Answer: k**3 + 1299*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, p: 3, l: 3, a: 3, i: 2}. What is prob of picking 3 l?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176331 + -385086. Let w = 208755.800026 + q. Let o = w + -0.8. What is o rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333*s + 2*s**2 - 333*s - 5)*(0 + 0 - 2*s**2).\nAnswer: -4*s**4 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsk. Give prob of sequence ks.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001617 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 11:21 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Suppose 0 = -3*w - 0 + 6. Suppose -4*x + 7*n = q*n, w*x = -5*n. Solve x = 5*z - 0 - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*r + 0)*(-115 + 16 + 26 - r**2 + 2*r - 55).\nAnswer: 2*r**3 - 4*r**2 + 256*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Suppose -t = l*w + 6, -t + 6 = -3*w + 2*w. Determine x so that 0 + 1\/3*x**t - 1\/3*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:25 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -3077?\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*t - 12 = -7*t, -5*k = -5*t. Let i(f) = f**2 + 2*f + 2. Let b be i(-2). Suppose -b*y + 12 = -y. Solve -3*v = -h + y, -3*h = k*h + 3*v + 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77283, 154568, 231853, 309138, 386423?\n\"Answer: 77285*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - -14 - (-2 - -6). Does 17 divide (-623)\/(-7) + o + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*f + 468, 5*c + 0*f - 5*f = 450. Suppose -c*n = -89*n - 483. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y - y**3 - 11*y - 7*y - 3*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/60 + s**5\/20 - s**4\/6 + s**3\/2 + 70*s**2. What are the prime factors of i(4)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 + 474*i**4 - 10710*i**3 + 32678*i**2 + 43860*i = 0.\nAnswer: -258, -1, 0, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12343, 24692, 37041, 49390, 61739?\nAnswer: 74088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174000125*t**3 - 200353374*t**2 wrt t?\nAnswer: -1044000750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011300 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let o be l(-4). Suppose -4*u - 989995 = -u + 5*h, -989996 = 3*u + o*h. Round u to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*i - 13 + 2, 4*h - 5*i = -23. Let n be h\/54 - 48\/27. Let c(w) = 2*w + 2. Give c(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -36*o**4 + 9*o**3 - 24*o**2 - 24*o + 231. Let n(x) = -7*x**4 + 2*x**3 - 5*x**2 - 5*x + 46. Let k(f) = -5*a(f) + 24*n(f). Differentiate k(c) wrt c.\nAnswer: 48*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -1\/2 (c) -323 (d) 2 (e) 591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 245*i - 211*i - 16 + 10*i to p*i + k and give p.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + (-1)\/(-1). Suppose 8*q - 5*q - 15 = m. Suppose 16155497 - 55655497 = q*d. What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 468*q - 5611. Let v be y(12). Let p(x) = 1. Let l(s) = -2*s**3 + s. Let a be l(-1). Let w(d) = 2*d - 6*d + d - 4 + 4*d. Calculate a*w(i) + v*p(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193065 and 1266.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 1\/7, 16, -4, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 9617777?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-1\/4))\/(r**(-1)*r))\/((r*r\/(r*r**(4\/7)))\/(r*r\/((((r**(-2\/9)\/r)\/r*r)\/r)\/r)*r)))**(-16\/3))**(-49) assuming r is positive.\nAnswer: r**(46172\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -621*d**2 + 7*d + 9. Let h(w) = 310*w**2 - 4*w - 5. What is 11*h(v) + 6*z(v)?\nAnswer: -316*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -16. Let v = -15.2 - m. What is the nearest to -10 in -5, v, -2\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(4 + (sqrt(931) - (-1*(sqrt(931) + sqrt(931) + 0))**2) - (sqrt(931) - 1*sqrt(931)*2 - ((-1 + sqrt(931))*-5 + sqrt(931) + sqrt(931)))**2)*2.\nAnswer: -4410*sqrt(19) + 224070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/12 + 0 + -2. Suppose d*y - 1 = 3. Solve -y*c = -3 + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2291269, 4582542, 6873815, 9165088, 11456361, 13747634?\n\"Answer: 2291273*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/9)*s*s**(-14))\/(s**(1\/9)\/(s\/((s**(1\/17)\/s)\/s))) assuming s is positive.\nAnswer: s**(-1471\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -33.9. Suppose 29*s - 20*s = -72. Which is the third biggest value? (a) s (b) h (c) -0.4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14*a**2 - a. Suppose 4*k = -3*c + 2 + 15, -k + 2 = 0. Let p(g) = 2*g**3 + 19 - 6*g**2 - 2*g - g**c - 3*g**2. Let v be p(9). What is m(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*6 - (2 + sqrt(2) + 0))**2.\nAnswer: -20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 2:17 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137094268 to the nearest integer?\nAnswer: 11709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*g - 209 = 0, -2*g + 208 = -3*f + 3*g. Let i = -26 - f. What is the second derivative of -3*v**3 - 4*v - i*v**2 + 45*v**2 wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2186398 divided by 48.\nAnswer: 1093199\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12\/7 of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4 and 1\/(-6) + 16\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 267, 413, 559, 705?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 31. Let b be f(-17). Solve b*j = -j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1810154 or -1810149?\nAnswer: -1810154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 19 + 47 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 883534 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72718 and 27887?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 20907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -357092.017 to the nearest one hundred.\nAnswer: -357100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*i = -90, -4*a - 2*i = -89 - 5. Let s = 23 - a. Factor -f + 2*f - 3*f - 2*f + 2*f**s.\nAnswer: 2*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4236374448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(6\/2*-1). Solve g + l*n - 10 + 5 = 0, -3*n = 3*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*c + 222546, -4*q - 150819 = -c + 145914. Let s = q - -39183. Round s to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 64248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 15\/23 (b) 5 (c) 1\/2 (d) -4\/9 (e) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 323732699, 323732700, 323732701?\n\"Answer: p + 323732698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/360 + x**4\/6 - 2*x. Let y(d) be the third derivative of n(d). Let h(t) = -3*t**2. Calculate y(h(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-8))\/((-9)\/(-36)). Suppose r - 53 = -4*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 8*j**3 - 2 + 2 - 1. Suppose 0 = 3*h - 2*v + 5 - 2, 0 = 4*v - 12. List the prime factors of z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -3\/2*s**2 + 1\/5*s**5 + 0 + 0*s**4 + 0*s**3 + 6*s. What is the first derivative of n(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.1. Let x = 0.388 - -0.012. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -416, -859, -1326, -1823, -2356, -2931?\nAnswer: -3554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/140 + -1\/20. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000416237 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:09 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 27, -2, 2\/7, -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 15 = -5*u + 25, -2*u = b + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6092963 litres?\nAnswer: 609.2963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/(-3)*(0 - -6). Let p = j + 292\/5. What is x in p*x**2 + 0*x + 6\/5*x**4 - 2\/5*x**5 + 0 - 6\/5*x**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-1 - (-8)\/(-4)). Let v(f) = -2*f**2 + 3*f + 3 + 3*f**h - 5. Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/5))**(2\/3))**(1\/39) assuming i is positive.\nAnswer: i**(-2\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2 - 544*h + 14896 = 0.\nAnswer: 38, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10538?\nAnswer: 2, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 + 1 = -2*q, 0 = -q - 5*b + 12. Suppose -91 = -f - y - 24, -f + 67 = q*y. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 at most 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -2\/1131 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77933665*k**4 - 46206453 with respect to k.\nAnswer: 311734660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2)\/(12\/24). Let p = 3286 + -13141\/4. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**2 + x**2 + 2*x**2)*(-3 + 3 - 4*x) - 5*x + 5*x - 2*x**3 as v*x**2 + n*x + q + k*x**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, c: 1, i: 1, l: 4}. What is prob of picking 3 y and 1 i?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*f - 3*r, 3*f + 17*r - 41 = 7*r + 6*r for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {g: 2, a: 4, d: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 43*y = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3095 - -14299. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 4. Let l(c) = -5*c**3 + c. Give l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(2*y - 6*y + y) + y**2 - 3*y**2 - 4*y**2 + 0*y**2 + y**2 + 0*y**2 + (1 - 1 + y**2)*(-1 + 1 + 1).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/7098 and -49\/1038.\nAnswer: 1227954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 89*t**3 + 2*t**2 + 2*t. Let n be l(-2). Find the common denominator of 6\/14 - n\/63 and 19\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 7 + (2 - 4 + 6)*(2 - 2 + 1))*(-11492 + 22974 - 11487 + 76*u**2) to the form f*u + r + v*u**2 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 - (0 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-8))\/(18\/(-12)))\/((-102)\/17136).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*2 + sqrt(68))\/(sqrt(36)*2) - ((1*sqrt(153))\/sqrt(3))\/(sqrt(21)\/(sqrt(28)\/sqrt(4))).\nAnswer: -7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v**2 + 3*v**2)*(-1 + 2*v + 1) - v**2 - v**3 + v**2 - 4*v + 3*v**3 + 5*v - 3*v + (-4*v - v**2 + 4*v)*(17*v - 38 + 38).\nAnswer: -11*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36855691543\/270450 - -6813747\/50. Let l = w + 4\/601. What is the common denominator of l and 91\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2 = i, -5*i - 2*o - 1 + 15 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - z = 3, 2*z + 10 = -m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 131, -14, 1, 0 in increasing order.\nAnswer: -14, 0, 1, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -22, -1\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-545)\/763 - (-285)\/133.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -29. Suppose 0*k - n = -3*k. Factor -k*p - 7*p - 5 + 15*p**2 - p.\nAnswer: 5*(p - 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/6 (b) 0 (c) -88\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**3 + o**2 - o + 1. Let r be c(1). Let l be (2 + 2 + r)*5. Calculate the common denominator of 2\/(-10) - (l - -3) and -31\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c44a + -278?\nAnswer: 1c1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -0.2, 0.0438, -5, 3, -45?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(((-12)\/(-8))\/3) - 3. What is the units digit of (255 - (n - -2))*18\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 i when three letters picked without replacement from wijzbbziiizzowbowzib?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.172 and 0.4.\nAnswer: -0.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 80*u**2 - 6. Let w(q) = -53*q**2 + 4. Give -5*n(f) - 7*w(f).\nAnswer: -29*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261013901, 522027805, 783041709?\nAnswer: 1044055613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(2 - (-5)\/(-5)). Let c(p) = f + 1 + 2 - 7 - p. Determine c(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z. Let o = 3 + -1. Let d(q) = 4*q**2 - 3 + 3 - o*q**2. Give s(d(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12\/7 - 67\/35. Let p be (-7)\/14*(-2)\/1. What is the nearest to -0.1 in p, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 102. List the prime factors of p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5547735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 2. Let z(l) = l. Let d(y) = -y + 5. Let o(r) = -d(r) + 6*z(r). Let q(a) = 10*f(a) + 4*o(a). Let k(b) = -2*b**2. What is k(q(v))?\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -502, -1887, -4148, -7267, -11226?\n\"Answer: 3*k**3 - 456*k**2 - 38*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1591 = 3*h, 5*b + 2*h + h = 3964. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*-3*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 399.5 + 9.5. Let c = h + -408.999593. Round c to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyytyyyyyyt. Give prob of sequence ytyt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 14) to base 16\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0\/l**4*((l\/(l*l**(-5)))\/l)\/(l\/l**(-2\/21)) assuming l is positive.\nAnswer: l**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*i - 10*i - 12. Suppose -6*t + 4*t - i*a + 14 = 0, -a = -t + 2. Solve 4*d + t = 6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 1. Let y = 98 + -95. Let b(f) be the third derivative of 4*f**2 + 0 + 0*f - 1\/30*f**5 + 1\/3*f**y + 0*f**4. What is -b(x) + u(x)?\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:06 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-2)\/3*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1235*i = -1237*i + 42. Let u be (-7)\/i + (-9)\/(54\/(-68)). Suppose 2*n = j + 87, -n + j + 45 = 2*j. What is the highest common factor of u and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(5)*-3 + sqrt(7) + 2 + sqrt(56)\/sqrt(8) + -5.\nAnswer: -3 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2431 (base 5) to base 15.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2246.2 - 2246. Let r = 4 + -1. Which is the smallest value? (a) r (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**18*(g**(7\/5)\/g)\/g*g assuming g is positive.\nAnswer: g**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let h be j(3). Suppose -n - 2*n + 6 = h*f, 2*n + 3*f = 1. Solve -2 = -n*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -2819 - 3925. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29361095.\nAnswer: 5, 2027, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 + -41097.\nAnswer: -41002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*y + 9. Let j = 573 - 572. What is the remainder when y is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 122*x**3\/7 - 530*x**2\/7 + 164*x\/7 + 816\/7 = 0. What is x?\nAnswer: -1, 2, 204\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 26, -2, 2.\nAnswer: -12, -2, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109)\/(-109)*((-26)\/(-2))\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2 + 2198*m - 6. Let l(c) = -13*c**2 + 4394*c - 11. Give -6*l(o) + 11*z(o).\nAnswer: o**2 - 2186*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -521*p + 70320. Determine x(135).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmqmmmmm.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115460?\nAnswer: 2, 5, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvjjvvjjjjjjvvjjvj. Give prob of sequence vvv.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Suppose 0 = t + 20 - 45. Suppose 0 = -t*w + 22*w + 12. Sort w, x, -2 in descending order.\nAnswer: w, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddu when three letters picked without replacement from {o: 11, d: 3, u: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let i(h) = -12*h + 2. What is i(p) - 2*v(p)?\nAnswer: -14*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153257129 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 9*s**2 + 7*s - 12. Give b(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 9:56 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12387107*k**4*u - 16*k*u**2 - 660230792*u**2 wrt k?\nAnswer: -49548428*k**3*u - 16*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2639 and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1366 + 5001\nAnswer: 3635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d + 55*d + 13 - 13.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*h + 229 = -377. Solve 0*x + h*x = -z - 12, 2*z - 1 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/((-3)\/6). Suppose 3 = r + u. Find the third derivative of -2*j**r + j**2 + 7*j**5 - j**5 wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(9\/(-108)*-30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.05 + -0.05. Let h = 1.3 - l. Let n = 3 + h. Put n, -0.4, -0.2 in descending order.\nAnswer: n, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 6073758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3, 4, -28, 4\/3, -0.3 in decreasing order.\nAnswer: 4, 3, 4\/3, 3\/8, -0.3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963901 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240573014 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20786 is divided by 385.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1700305 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-36) + 2\/3. Sort l, -1, -3, 19 in ascending order.\nAnswer: -3, -1, l, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23534, 47068, 70602, 94136?\n\"Answer: 23534*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2. Let i(r) = -64*r. What is i(y(j))?\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*g**2*t**3 - 3*g**2*t + 33*g**2 + 43*g*t**2 + 9*g + 400*t**4 wrt t.\nAnswer: -1302*g**2 + 9600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 2*h - 11. Let t be -6*2\/(-30)*20. Suppose -5*j = -3*l + 5, -3*j + t*j = 10. What is the tens digit of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 - 9)*(0*z - z + 3*z) - 2*z - 4*z + 3*z + (-3*z - 3*z + 5*z)*(3 + 1 - 3))*(8 - 24*z - 8).\nAnswer: 720*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 2*l**2 - 3*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 587155, 1174323, 1761491, 2348659, 2935827?\n\"Answer: 587168*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14675, 14680, 14685, 14690?\nAnswer: 14695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/55 - (-970)\/1067.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dogcdgg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-14) + (-10)\/(-35). Suppose -2*s = 4*x - 2, s + x = -3*x + 1. Calculate the greatest common divisor of q and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -998.98963 - -999. Round o to 4 dps.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222 - 33. Let l be 8187\/a*6*(-14)\/(-96). Let i = l - 376\/9. Find the common denominator of i and 91\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h - 6 = 0. What is the second derivative of 0*a**2 + 3*a**3 + h*a**2 - 2*a**2 - a wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14331, 14748, 15165, 15582, 15999, 16416?\nAnswer: 16833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1848 + 0.1848. Which is the fifth biggest value? (a) 5 (b) 1\/5 (c) -2\/5 (d) -0.01 (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16*w. Let b(f) be the second derivative of -5*f**3\/6 - f. Let u(o) = -10*b(o) - 3*k(o). Let d(g) = 3*g**2. Give u(d(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9cb5a (base 16) to base 15\nAnswer: -ca2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41, 8\/73, 0.1, 2\/853?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6231 - -1222. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.9 - -10. Let s = 5.1 - j. What is the smallest value in -0.3, 0, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {r: 3, v: 17}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -48. Suppose w = 5*i - 21 - 14. Let g(n) = 8*n - 1 - i*n**2 + 11 - 12*n**3 + 11*n**3. Give g(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbb when three letters picked without replacement from {x: 2, t: 1, b: 1, u: 4, k: 4, w: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 127*r + 19. What is the remainder when 439 is divided by x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3161*d - 81 = -3164*d, r - 298 = -11*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374772*l**2 - 231*l + 919?\nAnswer: 749544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 33*l**2 - 81*l + 34. Calculate t(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 6270 = 4*h - 10*s, -5*h = -5*s + 7850. Which is bigger: -1558 or h?\nAnswer: -1558","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbbmbbbbbbbbbm. Give prob of picking 1 m and 1 b.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1344, -5336, -11976, -21264, -33200, -47784?\n\"Answer: -1324*m**2 - 20*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4366*r**3 - 22*r**2. Let o(t) = -93869*t**3 - 472*t**2. Calculate 236*a(w) - 11*o(w).\nAnswer: 2183*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/21406 and 15\/36974?\nAnswer: 406714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k - 6. Suppose 3*s + 0*s - 162 = 0. Let h = 54 - s. Calculate w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/70)\/(((-8)\/128)\/((-40)\/32)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(2 + -3 + sqrt(1216) + 2))**2.\nAnswer: 80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:23 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 5.74125?\nAnswer: 9.74125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 20. Let y be r(-11). Suppose 2*x = -0*x - h + 163, 0 = 5*x + y*h - 410. Is x a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -347, -4, -7, -2 in increasing order.\nAnswer: -347, -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 120 and -2814060449.2.\nAnswer: -2814060329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-548)\/(-3) + (-3)\/(-9). Let d be -6*((-5)\/10 - 1). Calculate the remainder when (-1 - -4)*b\/d is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.3. Put -1, n, -3 in decreasing order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 0, 44 in increasing order.\nAnswer: 0, 4, 9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 46. Let r(b) = -2*b + 46. Let o(l) = -4*r(l) + 5*v(l). Let j be o(6). Solve f - 4 = -j*t, 3 = -3*f + t - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/21)\/(73\/(8176\/32))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 714623893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -352 * 0.3\nAnswer: -105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 9, d: 1, n: 1}. What is prob of sequence vvnf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 163882884 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((39\/(-3))\/65*-2)\/(-5)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 8637 (c) 545\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 - (-1 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 minus 3289951980?\nAnswer: -3289951998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (28 + 0)\/2 - 1. Let z(o) = o**3 - 13*o**2 + 4*o - 24. Let i be z(p). Does 26 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2469*y**3 + 2*y**2 - 6*y**2 - 10 + 4*y**2.\nAnswer: 2469*y**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715, 2866, 6475, 11560, 18139, 26230?\nAnswer: 35851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3) + 5\/11. Let d = 1.5 + -1.2. Which is the second biggest value? (a) -3\/8 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115227557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -7. Is (822\/9)\/(1*4\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 66 = 5*o, 2*t = 2*o + 168. What is the remainder when 238 is divided by t?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 115*b - 10. Let q be n(3). Let w be (-56*1)\/(15\/60). Let m = w + q. Does 45 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*t**3 + 2*t**2*u + 19*t*u + 2518*u wrt t?\nAnswer: 216*t**2 + 4*t*u + 19*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 17 = -3*x. Let d(u) = -2*u**3 + 1 + 2*u**2 - x*u + 6*u**2 + u**3. What is the units digit of d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**13*j)\/(j**(-17\/6)\/j))**(-9) assuming j is positive.\nAnswer: j**(-339\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189 (base 14) to base 8.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 16*i - 1. Let a(r) = -2*r**2 - 32*r + 1. Let s(v) = -3*a(v) - 5*m(v). Let t be s(-16). What are the prime factors of 408\/3 + (4 - t)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let n(q) = -3*q**2 - 6*q + 1. What is n(x) - 3*v(x)?\nAnswer: -3*x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 18. Let i be g(-13). Let l be (1\/(-31))\/(i\/42). Which is the closest to -1? (a) 6\/11 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-42) - (-3 + (-377)\/(-119))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 27, -3, -70, -4 in ascending order.\nAnswer: -70, -4, -3, 1, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 51, 140, 307, 576, 971, 1516, 2235?\n\"Answer: 4*v**3 + 3*v**2 - 2*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100424 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from gssgg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18554 + -1805.41446. Round i to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9689991 to the power of 1\/2, to the nearest integer?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3 + 39. Let d(q) = -94*q - q**2 + 94*q + 0*q**2. Determine f(d(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 188*z + 10189. Determine c(44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 16. Suppose r*h + 1 = h. Let b(w) = w**3 - 7*w**2 + 6*w + 3. Let q be b(6). Put q, -4, h in decreasing order.\nAnswer: q, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2060 divided by 1.\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 - n**3 - n**3)*(6*n + n**2 - 2*n**2 - 2*n).\nAnswer: 7*n**5 - 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + 104\/(-28). Let y be 6 + -3 - r\/(-2). Let c(p) = 3*p. Let s(q) = -13*q. Let u(d) = -9*c(d) - 2*s(d). Let k(j) = -1. Calculate y*u(i) + k(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-5) - (-2)\/(-5). Let s be ((-3 - -1) + d)\/(-1). Let u = 1 + -0.5. Which is the third biggest value? (a) s (b) -1\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j. Let t(q) = -64*q**2 + 23*q. Give t(z(s)).\nAnswer: -256*s**2 - 46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3021.1 times -22380\nAnswer: 67612218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u - 99 + 99 + 62*u - 77*u + 2*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96518 is divided by 445.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8353 + -11871. Let x = 960412\/273 + y. Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5515 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*(d*d**(-3)\/d)\/d*d)**(1\/21)*d*d\/d**2*d\/(d\/d**(-4)*d*d)*(d\/(d\/(d*d\/d**(1\/3))))\/d*d*(d\/(d**(2\/9)\/d*d))\/d*d assuming d is positive.\nAnswer: d**(-233\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101.2989 + 0.0989. Let d = 233 + y. What is d rounded to 0 dps?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 0.4, -2421\/65, 1?\nAnswer: -2421\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (7 - (10 - -5)) + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251702, -251706, -251712, -251720, -251730, -251742, -251756?\nAnswer: -251772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -53. Suppose 227 - r = 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: Let t be (-1 - 39)*(-3)\/4. Suppose 3*d - 39 = 2*z - 4*z, -5*d = 4*z - 73. Calculate the highest common divisor of t and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -449414.9 to the nearest one hundred.\nAnswer: -449400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 656 or 655?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4795593 and 15972.\nAnswer: 19182372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let c(f) = -f**2 + 46*f - 1367. What is i(c(x))?\nAnswer: 2*x**2 - 92*x + 2734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10)*(-15 + 20). What is the second derivative of 4*d**4 + 3*d**4 - 78*d - 2*d**4 + y*d**5 - 3*d**4 wrt d?\nAnswer: 40*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -12*s + s. Find p such that 2\/15*p**5 + 4\/15*p**2 - 2\/5*p**3 + 0*p + 0*p**4 + s = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -56, 4, 5\/28?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 31 = 7*r - 2*r, -2*r = -3*y - 25. Let m = y - -7. Suppose m = -4*b - 27 - 1. Are b and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 35 = -5*s. Suppose 215 = s*r - 23. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52280 is divided by 17343.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74267, -74275, -74283, -74291, -74299?\nAnswer: -74307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 = 5*m + 4*y - 535, -2*m = 2*y + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 9 + 1, -3*w + 15 = 3*l. Suppose 22*o + w*o - 12028 = 0. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/120 + u**4\/24 - u**3\/6 - u**2. Let w(q) = -8*q**3 - 2*q**2 + 5*q - 5. Give -5*v(y) + w(y).\nAnswer: -3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 - 7 = 0. Let r = -13 + m. Calculate the remainder when 58 is divided by (0 + r)\/(3\/(-45)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10475 is divided by 747.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115273.7ns to minutes.\nAnswer: 0.000018587895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 81*s = -85*s + 25, -u + 30 = -s. Suppose 4*y + 3*f - 200 = 3*y, 0 = -5*f - 5. Calculate the greatest common divisor of y and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 455331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 54 = -7*d + 3*d, -2*d = -5*p - 39. Let m(o) = o**3 - 2*o**2 - o + 6. Let f be m(3). What is the highest common factor of d and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(192))**2 - 3*sqrt(192)) + 6*(((sqrt(15)\/sqrt(45))**2 - sqrt(3)) + sqrt(243)*-2) + 5.\nAnswer: -170*sqrt(3) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/24*(-20)\/15*4. What is w in -4\/3*w + q*w**3 + 0 - 2\/3*w**4 + 2\/3*w**2 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 118 = 7*j, 895*s + 86 = 4*j + 893*s for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 7:03 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*v + 47, 5*g + 3*v = 2*g + 42. Let m be 3\/g - 4453\/(-10). Let x = m + -425. Calculate the common denominator of -45\/14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 48124265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and 23.3?\nAnswer: 2842.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21977, -30725, -39483, -48257, -57053, -65877, -74735?\nAnswer: -83633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 5*b - 4*b + 11*b + 4*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.3? (a) 27 (b) 1 (c) -505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 times -0.5?\nAnswer: -261.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1400000*t. Let l be b(-1). Round l to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, 2, -41, -213, -2 in increasing order.\nAnswer: -213, -41, -5, -2, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 11:21 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 0 + 2)*(-3 + 0 + 4) - 393 + 450 - 622)*(0*u - u + 0*u)*(u - 7*u + 3*u) in the form b*u**2 + j + k*u and give b.\nAnswer: -1698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -46207048 divided by 23103524?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14024, -25132, -36240, -47348, -58456?\n\"Answer: -11108*s - 2916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 462.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10883 + -c?\nAnswer: 10875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 152, 3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 834 = 370 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c = -135 + 7. Solve c*o - 15 = 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 16. Let p = d + 12. Solve 0*m = p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 4 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*v - 162*v = -5*u + 28, 2*u = -4*v + 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12992 and 2337748.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -41*c + 206. Let g(f) = -2*f**2 + 15*f - 2. Let w be g(7). Let i be y(w). Solve z = -0*z + i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3747994 and 646358.\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (8\/(-20) - 1). Let u = -3 + 1. What is the nearest to 2 in 0.2, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 + 3*d - 7. Let u(p) = 3*p**2 + p - 3. Let q(j) = 5*u(j) - 2*z(j). Let g(l) = -4*l**2 + 7*l + 3. Calculate g(v) + 5*q(v).\nAnswer: v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(14)\/sqrt(2) + 2)**2 + ((3*(0 + sqrt(343)) - sqrt(343) - sqrt(343))*-2)**2 + -1 + 4.\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 445700087\/22266 - 180154\/9. Find the common denominator of r and -35\/11.\nAnswer: 27214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 1*78\/66. Let m = 51\/2 - 26. Put m, -41, j in decreasing order.\nAnswer: j, m, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o + 3*h = 27, 121 = 3*o - h. Suppose -3*q - 3 = -o. What is the remainder when 71 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l + i - 0, -3*i + 10 = 2*l. Suppose l*a + 11 = 4*v, -2*v + 2*a - 2 + 6 = 0. Is 47 - 0*v\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3997 and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -54. Let b = 107.800785 - 82.80077. Let t = b + i. What is t rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1300) - (2*sqrt(1300) + 1))**2.\nAnswer: 20*sqrt(13) + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122996714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 4)*9\/(-6). Suppose -2*b + 10 = t*b. Suppose 3*d + 2 + 0 = -4*c, -4*d - 3*c = -b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Let u(y) = 29*y - 19. Let v be u(10). Suppose 2*h - 153 = -5*g, -t*h + v = 3*g - 0*g. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342805 and 1744.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = 5*y - 30, 2*y = 2*j + 12. Let a(w) = -w**3 - 9*w**2 + 11. Calculate the smallest common multiple of a(-9) and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 49. Let r be g(12). Let z = r + 184\/5. What is the smallest value in z, 1, 0.4, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222824 is divided by 109160.\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1074 + -1151. What is the biggest value in -0.3, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.63 - 3.63. Which is the biggest value? (a) j (b) 0.03 (c) -2\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 1103\/14. Let s be (-22 - (-450)\/21)\/((-2)\/(-14)). Which is the nearest to s? (a) 0.1 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + 0.4. Let m = s + -4.3. Let o = m + 4.4. Which is the second smallest value? (a) 11 (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109 - 9*y + 108 + 0*y)*(-y + 0*y - 3*y) to h*y + w + l*y**2 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 11. Suppose 0 = -0*h + 2*h - u. What is the least common multiple of h and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87182 + -87181.9941587. What is i rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - x = 5, 79*g = 83*g + 4*x - 16. Let r(d) = 4*d - 11. What is r(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 835*w - 31080.\nAnswer: -5*(w - 111)*(w - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 27*v - 22 - 25 - 14 + 30.\nAnswer: 27*v - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*z + 24, 0 = -4*z - 0*g - 5*g + 50. Suppose -2 = 5*h - 27. What is the greatest common divisor of h and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -112, 36 in descending order.\nAnswer: 36, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/2)\/(3 + -2). Suppose -u*t + 125 = 2*t. Let g be 93\/9 - (-2)\/(-6). What is the greatest common factor of t and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819764611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3\/4, -28.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12211704749\/22776 - -6970094\/13. Let m = i - -77\/219. Calculate the common denominator of ((-5252)\/(-364))\/(8\/7) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -102, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 29 = -2*n. Let r = n - -27. Sort 1, r, -3 in decreasing order.\nAnswer: 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*p**2*u**3 - p**2*u - p*u**3 + 22*p*u**2 wrt p?\nAnswer: 164*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (341*k - 84*k + 183*k + 2 - k**2)*(2*k - 3*k + 0*k).\nAnswer: k**3 - 440*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3893 - -1661. What are the prime factors of p?\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51940.44ml in litres?\nAnswer: 51.94044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/8854947 and -23\/1166931?\nAnswer: 150534099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771958 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.15. Let p = 0.4 - 0.3. Let o = -7648.5 - -7648. Which is the nearest to p? (a) o (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/(6\/(-16)). Suppose m*y - 2*w - 316 = 0, y + 2*w - 97 = -2*w. Suppose 14 + 31 = 5*i. What is the highest common divisor of i and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h + 699 = -86*h + 62 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10013.\nAnswer: 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 141437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211787 (base 10) to base 15.\nAnswer: 42b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12*28\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20996429 divided by 8969?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 127528566?\nAnswer: 127528566.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 702\/(-72) + 9 - (-258)\/24\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147126024*s**3*v**3 - 24*s**2*v - 25891*s*v**2 - 5*s + 3*v**3 wrt s?\nAnswer: 882756144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-189) + 148\/180.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -28. Let f be 1\/((15\/v)\/(-5)). What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 + 25*l**2 + 52*l - 289. Calculate t(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155846 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72031 times 0.145?\nAnswer: -10444.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3442 - -2041?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 42248, -1\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57 + -55 + 0 + 4375 - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 167\/255 + (-4)\/6. Let s = k - -7\/17. Let x be -1 + 2\/(18\/11). Which is the closest to s? (a) x (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.1. Let r = w - -0.34. What is the second smallest value in r, -1, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n + 2 - 13*n**3 + 6*n + 8*n + 6*n**3 to the form c + i*n + k*n**2 + q*n**3 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.17 and 1198548 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 500029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqlwlhqxggwqgqqxxqq. Give prob of sequence wlwx.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -22*g + 6. Let d(w) = 35*w - 9*w - 69*w + 13. Let r(l) = 5*b(l) - 3*d(l). List the prime factors of r(4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 173402 = -4*m, -5*m + 5*p + 105861 + 110899 = 0. List the prime factors of m.\nAnswer: 67, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -12. Let f be i\/(-3) + (-5)\/15. Suppose 5 = 12*n - 7. Sort n, -1, f in descending order.\nAnswer: n, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*a**4 + 624*a**2 - 232*a**3 + 91 - 608*a + 75 - 38.\nAnswer: 4*(a - 4)*(a - 2)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*((sqrt(2299)*-2)**2 + 4) + ((4 + (sqrt(2299) - (1 + sqrt(2299))))*-1)**2 + 3).\nAnswer: 9188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8*2*-72. Let o = 127 + r. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 34474972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1297, -2862, -4687, -6772, -9117, -11722?\nAnswer: -14587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.429797 to 2 decimal places.\nAnswer: 43.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**5 - 42*m**2 - 2*m - 51 wrt m.\nAnswer: 60*m**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 259 - 252 + a**2 + 0*a + 6*a. Let m be 9*((-6)\/9)\/1. Let s = -11 - m. Give y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1462 and 4.\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -0.046.\nAnswer: -9.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 22 = -3*u - 0*s, 0 = u - s + 8. Let l be u + ((-5)\/1 - -9). Which is the nearest to l? (a) -0.2 (b) -1\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2104000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 6*w - 6. Let t be h(4). Suppose t*f - 12 = -0*f. Let r be f\/24 + (-43)\/(-4). Solve -r + 1 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - a**2 + a + 1. Let i(z) = -16*z**2 + 6*z - 7. Let p(d) = i(d) + n(d). Is 8 a factor of p(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from alalwalwaalllal?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -13. Find the first derivative of -10 + f - 3*i**4 - 5*i**4 wrt i.\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 2. Let d = -28 + 42. Let f = 16 - d. Let h be t(f). Solve 4*r - k = -11, 0*k + 19 = -h*r + 5*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 500 = 3*n + 9*n. Solve n*i = 39*i - 55 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 + -189. Suppose 3*i - i + j = s, 3*i - 20 = -4*j. Suppose 0*t - 6 = 3*t + 3*y, 5*y + 40 = 5*t. Solve i = 3*v + t - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323185359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 5. Let l(y) = y**3 - 11*y**2 + 26. Let s(i) = 4*l(i) - 22*z(i). What is the derivative of s(j) wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -0.02235.\nAnswer: -4.02235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**4\/2 - 270*b**3 - 1065*b**2\/2 - 265*b = 0. What is b?\nAnswer: -106, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8063 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 880 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/605150 and 97\/31122.\nAnswer: 5446350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2638046620?\nAnswer: 2, 5, 11, 11991121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -968*g + 1. Let o be h(-1). Let j = o - 554. Let z be j*-8*(-1 + 26). What is z rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t**5 - t**2 - 19*t + 0 - 1\/120*t**6 + 0*t**3 + 1\/24*t**4. Let a(u) = 2*u**3 - 2*u. Determine 6*a(s) + 11*k(s).\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*f - 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let d(i) = -17222*i. Determine m(d(r)).\nAnswer: 34444*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 9*n + 126 = 15*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 1, -1, 14 in decreasing order.\nAnswer: 78, 14, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 86\/7. Let l = -0.4 + 1.4. Which is the nearest to 2? (a) 0.2 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127955 = -5*b - 41555. Let d = -8111 - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-793)\/13*(1 - 0) + -1. Suppose 4*t = -c - 51, 0 = -c + 5*c + 4*t + 180. Let d = c - v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1432 divide 29172390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6449 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**4 - 4 + 6 + 2*y**3 - 77*y**2 + 8*y + 63*y**2 + 7*y**4 + y**4 to k*y**2 + j + f*y + n*y**4 + o*y**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 240\/19699?\nAnswer: 240\/19699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 1.7, -72 in decreasing order.\nAnswer: 1.7, -0.8, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:00 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 309*z**5\/10 + z**4\/2 - 17*z**3\/3 + 241*z - 2. Find the third derivative of q(w) wrt w.\nAnswer: 3708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (7 - (-4 - -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:30 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v - 36*v - 29 = 4*q, -5*q = 4*v + 37 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 (base 11) in base 16?\nAnswer: -31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 323*q**5 - 3*q**4 - 1476*q?\nAnswer: 6460*q**3 - 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-3)*(-14)\/(-4). Let k(h) = h**3 + 6*h**2 - 7*h + 4. List the prime factors of k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -30*191\/(-9) + 2\/6. What is the greatest common factor of o and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*y + 4*r, -4*r = -5*y - 0*y + 105. Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6840 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 544 + -541.9008. Let b = 65 - 67.1. Let c = f + b. Round c to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*(-2 + sqrt(2057)) - (sqrt(2057) - (0 + sqrt(2057) + 5))) + 3 + -5*-4*(sqrt(2057) + -1*sqrt(2057)))**2.\nAnswer: 132*sqrt(17) + 2088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.11, -29, -5\/2, 0.5 in decreasing order.\nAnswer: 0.5, -0.11, -1\/6, -5\/2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*g - 156, -24*f + 157 = 4*g - 29*f. What is the greatest common divisor of 361 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 4, r: 2, a: 2, d: 1, h: 1}. What is prob of sequence dha?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12927419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 116, 236, 394, 584, 800, 1036, 1286?\n\"Answer: -m**3 + 28*m**2 - m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1222 - 1200. Calculate the highest common divisor of d and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -3*d. Suppose a - 4*a = -57. What is the remainder when a is divided by 9 - (-3 + -2 + d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 plus 95801?\nAnswer: 95268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 1. Let t(n) be the third derivative of -n**5\/12 - 5*n**4\/8 - 5*n**3\/2 - 26*n**2. What is -15*p(r) + t(r)?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*w - 2453 + 3410 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 654347919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473833 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 501.75979221 - 501.76. Round u to six dps.\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406874 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4826385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4000))\/(6*(sqrt(8) + sqrt(8) + (sqrt(288) - sqrt(8)))))**2 + 1.\nAnswer: 2441\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -2 + 3 - 16. Let t = m + 23. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65219*q**2*s + 2*q - 2*s - 24543 wrt q?\nAnswer: 130438*q*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141946863 divided by 47315621.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8863699 < 8863698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d)**(-5\/16)\/(((d\/d**4)\/d)\/d**(-6)))\/((d\/(d*d*d*d**0*d)*d)\/(d\/(d\/d**4))*d**(3\/4)\/(d\/((d\/(d\/d**6))\/d)*d)) assuming d is positive.\nAnswer: d**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 180*p**2 - 37 - 177*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 4 + (1 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -27075 != -27072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a + 1. Let r(v) = 14*v + 0*v - 765 + 766. What is -8*h(s) + 5*r(s)?\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 10*c + 33. Let v be r(4). Suppose 2*s = -5*d + v, s = -d - 3*s + 23. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 3:21 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d + 13. Let o(a) = 21*a - 26. Let i(r) = 6*o(r) + 11*w(r). What are the prime factors of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517065804 take away -0.08?\nAnswer: -517065803.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -4 (c) -0.081 (d) -2 (e) -689\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*x + 6*x + 35*x**2 - 14*x + 54 - 38*x**2.\nAnswer: -3*(x - 2)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -21 (c) 5 (d) -2\/9 (e) -2\/87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -35. Find b, given that -l*b**2 - 6*b**4 - 5*b**2 - 9*b + 0 - 4 - 14*b**3 + 2 - b**5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1688\/81595 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.5 + -7. Let u = -141 + 153.9. Let j = 13 - u. Which is the closest to j? (a) q (b) -2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -428*a + 1986. Let l(h) = -85*h + 397. Let b(n) = -2*j(n) + 11*l(n). Is b(-62) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -751\/174 - 15\/29. What is the common denominator of r and 97\/178?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 l when four letters picked without replacement from wwlwwlwwwwwwlwwllwww?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0472 minus -6945.71346?\nAnswer: 6945.76066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o*o*o\/o**(1\/11)*o*o)\/o)\/o)\/o)\/o)\/o*(o**22*o)\/o)**22 assuming o is positive.\nAnswer: o**482","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -y - 3*o, -5*y - 4*o = -69 + 8. Differentiate 1 + 4 + y*t**2 + 4*t**4 - 9*t**2 with respect to t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 29*l**2 + 66*l - 27. Give a(-31).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjsssssgssspspgggrr. What is prob of sequence pjsg?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*r - 38*r + 1424*r - 5 + 7 to the form l + f*r and give f.\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 + -38274\nAnswer: -38271.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 22 + 11*k as c*k + a and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 34*w**2 - 172*w - 208. Let a(j) = -12*j**2 - 57*j - 69. Let b(x) = -8*a(x) + 3*h(x). Find f such that b(f) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1055 - 621. What is the highest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + (2 + -6 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 686 + -68. What is the least common multiple of o and 103?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 - (6 + -6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 158618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -4, -56 in decreasing order.\nAnswer: 5, 1, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 993.6 + -688.6. Sort 3, q, -4, -3\/2.\nAnswer: -4, -3\/2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 + -3)*(52\/(-20) + 3). Sort -3, r, -8 in ascending order.\nAnswer: -8, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 13?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + 0)*(-2)\/(-4). Solve -5*t + 28 = -v*f - 0*t, -2*t = -3*f - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - k + 4 = -j, -k = 2*j + 14. What is the remainder when -43*(-6 + (-1 - j)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/((-245)\/(-20)) - 208\/28. Let g(l) = -l**3 - l. Let j(s) = 5*s**3 + 8*s**2 + 2*s - 10. Let z(v) = -4*g(v) - j(v). Give z(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q. Let u = -129 + 128. Calculate k(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.4. Let i(j) = j**3 + 9*j**2 + 9*j + 7. Let l be i(-8). Let d = -13 - -8. Which is the nearest to l? (a) d (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0 + sqrt(432) + 3)**2.\nAnswer: 114*sqrt(3) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2397 smaller than -2413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 + 5*u**3 - 5*u**3)*(-7*u + 24 + 18 - 44).\nAnswer: 49*u**4 + 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + 2*u**4 + 3*u**4)*(-2*u + 5*u - 2*u) + (u - u - 2*u**2)*(u - u - 2*u**3) + u**5 + 2*u**5 - 2*u**5 + 4*u**5 - u**5 + 3*u**5.\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + -1*(sqrt(153)*1 - sqrt(153)))*5)\/(-6*(sqrt(9) + sqrt(9) + sqrt(27)\/sqrt(3) + sqrt(9) + sqrt(9))*1))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 3*y - 31, y - 2*y - 3 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81499409, -81499410, -81499411?\nAnswer: -81499412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0753425 to 4 dps.\nAnswer: 0.0753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 6589 = -4*k - 12*y, 3*y + 3 = 0. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139196185 divided by 5.\nAnswer: -27839237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)\/(h\/(h**21\/h)) assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(45)\/(sqrt(18)\/(-2*sqrt(2) - sqrt(2)) + sqrt(9)) - (-5 + sqrt(15)\/sqrt(3) + (2*sqrt(605))**2 + 0).\nAnswer: -2415 - 17*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80043206?\nAnswer: 2, 40021603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, 5, 27, 41, 41, 21?\n\"Answer: -r**3 + 5*r**2 + 16*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50783615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10798, 25, 2, 99.\nAnswer: 2, 25, 99, 10798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -30. Let g = w + 39. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198596304*o**3 + 24087048*o**2?\nAnswer: 1191577824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3431\/8 - -417. Find the common denominator of (-109)\/12 + 6\/12 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142236733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-30) + ((-425)\/(-15))\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -8*n - 2*k + 10, 26 = 5*n + 3*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457397 by 7.\nAnswer: -457397\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14*3\/6 - -1. Let k be -4 - (-28)\/4 - x. Suppose -4*d - 1 + k = 0. Which is the second smallest value? (a) 3 (b) d (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (10 - (1 + 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228844079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3 - 3 - f**2. Let w(s) = 3*s + 3 + 3*s - 3*s**2 - 3*s + 10*s**2. Let x(g) = -84*g**2 - 35*g - 35. Let j(c) = 35*w(c) + 3*x(c). Give j(a(t)).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 + 129*c**2 + 21*c - 2287. Calculate q(32).\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110\/381 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1567654*z + 236. Let p be c(34). Round p to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28967 + -3186393\/110. What is the common denominator of v and 11\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-299070)\/(-110) + (4 - 84\/22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -33, 2, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11285040 and 2340?\nAnswer: 33855120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 - 1)*(-6*w**4 + 4*w**4 + 0*w**4) + 3*w**3 - 3*w**3 + 2*w**4)*(3 + 2 - 2).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 = 6. Let i be (21\/(-2))\/((-5)\/q). What is the highest common divisor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - -29) + -11 + 74?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -44 (b) -2 (c) 2\/7 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1300) + 1 + sqrt(1300))*6 + sqrt(1300)))**2.\nAnswer: 14040*sqrt(13) + 1977624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:07 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 2, -24\/61?\nAnswer: -24\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*v - 15 + 7, 2 = -o - 5*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**2 - c - 1. Let h(o) be the third derivative of o**6\/120 + o**3\/6 - 9*o**2. Let m be h(1). Suppose 0 = 2*p - 4*p - m. What is d(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/9, -10, 1, 6\/35, 2079, -2\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 121245 (base 6) to base 15\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.641 + -0.541. Let m = 3 - 3.2. Which is the closest to o? (a) m (b) 2\/13 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623999?\nAnswer: 31, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3dd0 (base 16) to base 14.\nAnswer: 5aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*q**4)*(-14 + 10 + 92).\nAnswer: 176*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**7\/840 + r**6\/360 + r**5\/40 + 2*r**3 + r. Let h(y) be the second derivative of g(y). Is h(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v + 88. Find the third derivative of 22*i**3 + 13 + 8*i**2 - v + 9 wrt i.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -22*o**3 - 2*o**2 + 2*o - 1. Let a be n(1). Calculate the remainder when 25 is divided by a\/(-3)*-5*(-9)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7309 + 12306. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*17\/408 - 36179998\/(-6). Round h to the nearest one hundred thousand.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 - 6 + 8*v**3 + 3 + 34*v**3 - 9*v**3.\nAnswer: 41*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2210011010201?\nAnswer: -2210011010203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a (base 13) in base 2?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1040462)\/14 - (-2)\/(-7). Let c be 1\/(-3) - i\/(-9). Let u = 14358 + c. Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7)*y**(-7))\/(y\/y**(-2\/7))**(-3\/10))**(-2) assuming y is positive.\nAnswer: y**(443\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 68\/88869, 3 in ascending order.\nAnswer: 68\/88869, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 14, 18, 10, -16, -66, -146, -262?\n\"Answer: -k**3 + 3*k**2 + 8*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 21065*k - 21054*k - 3 + 42108*k.\nAnswer: -11*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/983?\nAnswer: 6\/983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -4, 0.2 in decreasing order.\nAnswer: 3, 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {x: 3, b: 10, t: 2, m: 2, f: 1, s: 1}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464322?\nAnswer: 2, 43, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 170*l - 22750. What is n(134)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -888*x**3 - 3*x**2 - 203*x wrt x.\nAnswer: -5328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 s when three letters picked without replacement from {e: 4, t: 3, d: 2, u: 1, s: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 4 + 34*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-6)*(4 + -1). Let b = -8 + g. Suppose 5*h + 0*h + 8 = -4*y, 4*y + 8 = 0. Solve 3*q + h = b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -47. Let i = 8 + w. Let n = -13 - -9. Sort -3, n, i.\nAnswer: i, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 43, 49?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1288554480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 - 186 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 617160828 and 6168.\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 4*d + 1. Let p be n(3). Let s be 53 - (3 + p\/1). Suppose -4 = -x - 5*a, 2*a + 3*a = 3*x - s. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(-2)\/(y**4*y**2))**(1\/3) assuming y is positive.\nAnswer: y**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (3 - 34) + 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2 - 23383*b + 264093 wrt b.\nAnswer: -6*b - 23383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -329317, -27, 6, -1 in ascending order.\nAnswer: -329317, -27, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2))**(2\/9)\/((l*l**(-15\/2))\/(l\/((l*l**(-22))\/l))) assuming l is positive.\nAnswer: l**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**10)\/x*x**0*((((x**(-1\/2)\/x)\/x)\/x)\/x)\/x**(2\/33))**(-1\/64) assuming x is positive.\nAnswer: x**(-359\/4224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 59\/4 of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1923, 5022, 10187, 17418?\n\"Answer: 1033*v**2 + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -300, -677, -1196, -1851, -2636, -3545, -4572?\nAnswer: -5711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34 - -54) + 6 + 504. Calculate the highest common divisor of a and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/62 - 41\/434. Is s smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-20) + 57\/5. Suppose -3*w - 11 = v, -40 = -v + 5*w - y. Let j = -9 + 15. Solve v*l - j = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/3, -5, 3\/2, -1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 0*u + 80 + u.\nAnswer: 3*u + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -722314?\nAnswer: 722307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15202 is divided by 475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194*u + 4158 = 4441*u - 2184*u for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38886127367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -32?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 344\/7*q**2 - 704\/7*q + 0 + 4\/7*q**3 = 0.\nAnswer: -88, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 2. Let x be o(-1). Let p(t) be the second derivative of 0 - 1\/2*t**2 - t + 0*t**3 + 1\/6*t**x. What is the derivative of p(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2338 - 137?\nAnswer: -2474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18102 at least 18103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**2 + 19*a + 3. Let b(t) = 7*t**2 + 21*t + 2. Give 3*b(l) - 2*o(l).\nAnswer: 7*l**2 + 25*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {f: 2, q: 4, b: 1, r: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 924319132 to the nearest integer?\nAnswer: 30403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*m**2 + 384*m**2 + 41*m**2 + 30*m**2 to the form w*m**2 + q*m + f and give w.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfnwwibinnfbifnfwwn. What is prob of picking 2 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, 87, 0 in descending order.\nAnswer: 87, 0, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b + 2 + 0)*(-4 + 4 - 3 + (1 - 1 + 2)*(3 + 2 - 4)).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2558005 nanograms in kilograms?\nAnswer: 0.0000000000002558005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20480778 is divided by 8971.\nAnswer: 8956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 17, w: 3}. Give prob of picking 1 o and 2 w.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1696 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/5 + 132*u**3\/5 - 82791*u**2\/5 + 4298604*u\/5 - 4215948\/5 = 0. What is u?\nAnswer: -209, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjdjjdmpjjuj. Give prob of sequence pmj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 190572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 52. Let h(r) = -r + 52. What is -2*g(y) + 3*h(y)?\nAnswer: y + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5816971641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 38 = c, 4*l = -0*c + c - 25. Let p = l - -17. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -28*x + 3. Solve -4*f = -5*b + 4, -7*b + 2*b + x = -3*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-7)*(-22)\/(-44)*-7. Which is bigger: h or -28?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 12*l - 11*l. Let q(g) = -38*g - 4. Let m be q(l). Suppose 10*f = 508 + m. What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n + 6. Let f(k) = 7 - 4 - 1 + 4*k - 7*k. Determine 17*f(g) - 6*v(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1388890*f**2 - 4*f + 2. Let s be c(3). Round s to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8789 divided by 5?\nAnswer: 8789\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.01, -1.6, -0.09, 3 in descending order.\nAnswer: 4, 3, -0.01, -0.09, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224 - -1134033?\nAnswer: 1133304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1411 divide 16751392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.378*-0.5.\nAnswer: 2.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 386257\/8 < 48282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 39854 (base 12) to base 14\nAnswer: 20ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 8 - 1 - 9 + (2*p - 3*p - p)*(p + 4*p - 3*p) + 1 - 1 - p**2)*(733 + 32*p - 733).\nAnswer: -64*p**3 - 64*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24386328 and 2709592?\nAnswer: 24386328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -88, -151, -228, -319, -424, -543?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 - h**3 + 26*h**2 + 7*h**2)*(5 - 2 + 0)*(-18 + 5 - 14) + (-h**3 + h**3 - 2*h**3)*(2 - 2 - 2) as m*h**3 + w + z*h + d*h**2 and give d.\nAnswer: -2754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8284 divided by 4.\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**2 - 11*c - 77. What is n(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*j**3 - 115*a*r**2 + 5156*j**3*r**2 + 2*j**2*r with respect to a.\nAnswer: -4*j**3 - 115*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9034452 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 - 8 - 10*r**2 + 11 wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 18640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26.02, 1, -0.4, 185, -2?\nAnswer: -26.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103.9 + -99. Let k = j - 4.54. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 14*t**2 - t + 16. What is x(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.034471?\nAnswer: 0.0068942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870981446.\nAnswer: 2, 435490723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2359*g**2 - 35*g + 78. Let x(l) = -590*l**2 + 8*l - 18. Let c(b) = 6*a(b) + 26*x(b). Let w(q) = 3*q**2. What is c(w(y))?\nAnswer: -10674*y**4 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -9, 5 in increasing order.\nAnswer: -9, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 79 = 200. Suppose 8*h - 9633 = -f*h. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40548 = -1193*m + 539*m for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p**3\/3 - 2*p**2 + 126*p - 2453. Factor f(h).\nAnswer: -2*(h - 7)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4863.71964 times -0.3?\nAnswer: 1459.115892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 21. Suppose 0 = r + 16 - 458. Suppose u*i = 6*i + r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(2\/7)*j))\/j)**28\/(((j*j\/(j**0\/j))\/j*j)\/j)**(-38) assuming j is positive.\nAnswer: j**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*(4\/(-2))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 395193*n**2 - 108833 wrt n.\nAnswer: 790386*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -21. Suppose 0*n + q = 7*n. Suppose -3*s = -n*s + 97. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50284 - 30658. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1628, 3332, 5062, 6830, 8648, 10528?\n\"Answer: 2*j**3 + j**2 + 1687*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:19 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365 (base 8) to base 14.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**2*w*x**2 + 2576*s**2*x**2 + s*w*x**2 + 4328*s*w wrt s.\nAnswer: -12*w*x**2 + 5152*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74880 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*p + 7, -4*l = -3*l - 3*p + 7. Let o = -3141 + 3141. Sort l, -23, o in descending order.\nAnswer: l, o, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 604285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 1*sqrt(2816)) + (-1 + sqrt(891))*2 + -6*(-1*sqrt(99) - sqrt(99)))**2.\nAnswer: -676*sqrt(11) + 7605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18369954, -18369972, -18369990?\nAnswer: -18370008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17353\/30 + 2808\/5. Let b = 17 + l. Suppose 4*o + 2*z - 4 = 0, o = -z - 0*z + 2. Is b > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.9, -4\/9, -5, -65?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.1 - 9.1. Which is the closest to 2\/5? (a) 2\/9 (b) -2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66373828961 - 66373828961 + 8*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**2 - 6*z + 12. Let i(p) = -p + 20 - 20. Let w(f) = 6*i(f) - v(f). What is the derivative of w(l) wrt l?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 9. Let h be (-8)\/x*(0 + -2). Solve 2 = -n, -k + 2*n + h = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*z, -3*b + b = z + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2298*a**3 + 145*a**2 + 16?\nAnswer: 13788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 26, 89, 198, 365, 602, 921, 1334?\n\"Answer: 2*r**3 + 5*r**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**2 - 11*f + 5. What is the remainder when g(4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*x**2 + 13*x**2 - 9*x**2)*(-8 - 77 - 16) in the form s*x**2 + d*x + f and give s.\nAnswer: -2020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -314 + 316. Solve -g + 1 = b*t - 10, 4*t = -4*g + 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {f: 2, w: 1, b: 7, v: 1, x: 2, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -36\/7, -3, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*a - 16, a = -2*i + 4 + 1. What is the lowest common multiple of (7\/2 - -1)\/((-24)\/(-48)) and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2549209 and 3747?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/15 - 92*i**2\/15 - 6974*i\/15 + 5848\/3.\nAnswer: 2*(i - 85)*(i - 4)*(i + 43)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57119, -114224, -171327, -228428?\n\"Answer: r**2 - 57108*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 5*i - 18 + 3, -33 = -5*t + 4*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4415.067 months to decades.\nAnswer: 36.792225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c = 223 - 367. Let l(y) = 8*y**3 + 11*y**2 - 22*y + 11. Let i(v) = -3*v**3 - 4*v**2 + 7*v - 4. Give c*l(b) - 11*i(b).\nAnswer: b**3 + 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320101132 + -10?\nAnswer: -320101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 40 = 7*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 8*w + 3*w**2 + 12*w - 31*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17736, 17735, 17720, 17685, 17624?\nAnswer: 17531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*b**2*q**3 + 52*b**2*q**2 - 1972*b**2*q + 3245*b*q**6 wrt q?\nAnswer: -324*b**2 + 389400*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10659*m**2 - 7697*m**2 + 25730*m**2.\nAnswer: 28692*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.9 + 12.9. Which is the closest to -3? (a) 1 (b) 0.04 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -14*z**5 + 54190*z**4 - 58050986*z**3 - 2743420526*z**2 + 22707842516128*z + 6488177602984 = 0.\nAnswer: -518, -2\/7, 1463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6303 is divided by 140.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3745 + -2256. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207\/20 + 48\/5. Let j = 2.5 + 0.5. What is the second biggest value in q, -2\/15, j?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxujvxzxxxxvx. Give prob of sequence xxzu.\nAnswer: 11\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.4 or 1?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from irrrrrrrrrrrrirrrrir.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 4*f - 380. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 208.14.\nAnswer: -14777.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1609*m**4 + 8*m - 27 wrt m?\nAnswer: -19308*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91732, -91742, -91756, -91774, -91796, -91822, -91852?\nAnswer: -91886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*j + 2*j. Let r be j + 15 + 4*4\/(-8). Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(3*q**2 + q**2 - 3*q**2)*(-88*q - 42*q + 7*q).\nAnswer: -123*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2392570, -4784908, -7177248, -9569590?\nAnswer: -11961934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - 3*t**2 + 3*t**2 + (-t - 4 + 4)*(-4 + 4 - t) + 2*t + 3 - 26*t**2 + 5 + 25*t**2.\nAnswer: -2*t**2 + 2*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 3 (b) 200 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23240721 divided by -31029.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 52. Let u(t) = 11*t**2. What is u(q(a))?\nAnswer: 11*a**2 - 1144*a + 29744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 678060 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 29491640*k**2\/9 + 108719603736200*k\/9.\nAnswer: 2*k*(k - 7372910)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78938 and 92.\nAnswer: 3631148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 7. Let l(a) = 28*a - 47. What is -l(i) - 4*s(i)?\nAnswer: -24*i + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Calculate the lowest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4076875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 8*j**2 + 324*j + 24. What is the tens digit of q(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*3\/24*8. Let s(m) = -m**2 - 7*m - 2. Let f be s(-8). List the prime factors of ((-142)\/f - 1)*(y + 15).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -9, -13, -19, -27?\n\"Answer: -p**2 + p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336771 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - (81 + (-197 - -20))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/168636 and -13\/322.\nAnswer: 1180452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 339438, -1\/6, 34?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -429 + 435. Determine l so that 9\/2*l**4 + 0 - r*l**3 - 3\/2*l**2 + 3*l = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -144?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2*m - 3*m)*(4*m**4 + m**4 - 2*m**4) - 4 + 2*m**5 + 4 - 3*m**5 + 3*m**5 + 2*m**5.\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o + 21*o + 7*o to d + l*o and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 12, t: 7}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -26\/9233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 6:34 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k + 97*k + 1594 - 48*k - 1594.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1768 and 50830?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20112 (base 3) in base 4?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 - 14*p**3)*(5 - 1 - 1)*(-7 + 7 + 2*p).\nAnswer: -84*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6978 - 3?\nAnswer: -697b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -4\/9*w - 2\/15*w**5 + 4 + 5\/18*w**4 - 5\/9*w**2 + 10\/27*w**3. Determine a so that g(a) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 - 10*w**2 - 20610*w - 20600. Give v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/392064 and -101\/261376.\nAnswer: 784128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 259, 14, 2, -8.\nAnswer: -8, 2, 14, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -da8f?\nAnswer: da93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 263782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(396) - sqrt(396))*1 - (-3*(sqrt(66) - sqrt(66)*1))\/(2*sqrt(600)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162108657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 173, -31, -235, -439?\n\"Answer: -204*z + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 + 405 + 9*g**2 + 168*g - 165*g.\nAnswer: -2*g**2 + 3*g + 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1 = -5*a. Suppose 9 - a = 2*u. Solve -u*y + 3*q = -2, 5*y - 8 + 2 = 2*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 2, u: 2, i: 1, c: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*d - 279*d - 38*d + 855*d - 257*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d68 + 1d?\nAnswer: -4d4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 7*n + 43 - 12 - 5*n - 63*n**2 + 118*n**2 to the form m*n**2 + p*n + o and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 1998?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*y + 70, -5*b - 510*y + 182 = -512*y for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131545, 131543, 131539, 131533, 131525?\nAnswer: 131515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose 1 = -3*h - o + 18, 0 = 5*h + 4*o - 40. Let c be 9*(9 - 12 - (-10)\/3). Solve h*p - c*p = -i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82691 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 81*b**3 + 33*b**2 - 187*b + 13. Is 29 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 627 and 0.3.\nAnswer: 188.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 6*f**2 - 4*f. Suppose -28*n + 24*n - 20 = 0. What is j(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 619820 + 213092 = 0. Suppose 2*z = 4*y - 129388, -3*y - 244905 = 3*z - r. Round z to the nearest 1000.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 43*f**2 + 2578*f - 119. Give g(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 7*n. Let h be i(5). Calculate the highest common divisor of h and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:15 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/((-9)\/30). Let n(b) = -5. Let j(f) = f + 4. Let t(u) = c*j(u) + 3*n(u). Is t(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/43587 and -87\/610886?\nAnswer: 159441246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -471*r**3 - 771?\nAnswer: -1413*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5922, -5735, -5434, -5019, -4490, -3847, -3090?\nAnswer: -2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-1))\/((-3834)\/(-135) - 29)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:41 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -187*n - 4264. What is the tens digit of p(-58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13752 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 401872.4 * -4\nAnswer: -1607489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367 is divided by 374?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 11 (c) 5 (d) 2\/9 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266038 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -0.03, -2\/3 in ascending order.\nAnswer: -1.1, -2\/3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -21, -29, -29, -15?\n\"Answer: m**3 - 5*m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 27 = 3*q - 65, 100 = 4*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4424\/52879 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6 - 2*t - 8*t + 2*t + t**2. Let p be (-2)\/((-66)\/9 + 7). Give l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1 - (2 - 1). Suppose c = k - 7 + 1. Suppose -5*w + 161 = k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1123\/171 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 519 by 6.\nAnswer: 173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 15. Let g be (50\/(-4))\/(-5)*(0 + -2). Let x be i(g). What is the units digit of 5\/x - (-22 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 0*h)*(-5 + 5 - 1)*(0 + 3 - 2)*(-8 - 2 - 7).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:34 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898220 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/13, 45912, -4, 1, -2\/7 in decreasing order.\nAnswer: 45912, 1, -2\/7, -6\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 16*f**2 - 11*f + 5. Let b be (3\/(9\/42))\/1. Let x be 24\/(-14) - 4\/b. Let r(j) = 3*j**2 + 2*j - 1. What is x*h(n) - 11*r(n)?\nAnswer: -2*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*0\/1. Solve 3*g + g - 4 = k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -20 + 0*n - 4*n + 74. Let x(h) = -h**3 + 7*h**2 - 5*h - 6. Let a be x(6). List the prime factors of v(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-65)*10\/(-28)*126\/243?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*-2*5)**2 + (sqrt(63) + 3 - (sqrt(847) + -1 + sqrt(847))))*-2.\nAnswer: -201608 + 38*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b + 57*b + 152*b to q*b + o and give q.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 16 = 5*d + 2*w, -w = 5*d - 17. Let c(q) = 5 + 61*q + d + 0 + 307*q. Let k be c(-6). What is k rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**9\/15120 + k**8\/6720 - k**7\/2520 - k**6\/720 + k**4\/2 - 3*k. Let m(n) be the third derivative of r(n). Factor m(t).\nAnswer: t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1955 - -6.706\nAnswer: -1948.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935 and 23936?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytfy when four letters picked without replacement from tatyfffttyttyftttyyt.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16.5. Let w = 70 - 69.5. Let q = w + t. What is the biggest value in 5, -2\/11, 0.2, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mep when three letters picked without replacement from {m: 3, x: 1, b: 2, p: 1, e: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -303932 and -1011328589.\nAnswer: -1011632521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33562, 133839, 300968, 534949?\nAnswer: 835782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13245 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31478 + 94468\/3. What is s in 2\/3*s**3 - 20\/3*s**2 - 16\/3 + j*s = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13104876 divided by -4\nAnswer: -3276219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6767?\nAnswer: 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*g + 241 = 0, -5*i + 70 = -5*g - 175. What is the least common multiple of i and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 449247 or 12\/5?\nAnswer: 449247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (49 - 100) + -67?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/24 + 5*v**2\/2 + 11*v. Let b(u) be the first derivative of p(u). Let q(h) = -13*h. Calculate q(b(d)).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656328 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:53 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*z**4 - 778404*z**3 - 59260714*z**2 - 1111586112*z + 1171625472 = 0.\nAnswer: -3139, -432\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12530505 - 101*i - 45*i + 12530505.\nAnswer: -146*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/89, -1, -11, 3\/4, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19))**(-6) assuming w is positive.\nAnswer: w**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013338 to 7 decimal places.\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 19*v**3 - 71*v**2 - 50*v.\nAnswer: v*(v + 1)*(v + 2)*(2*v - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10775 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 8. Let j be (2\/2)\/(2\/(-10)). Let c = -172 + 174. Put f, c, j in increasing order.\nAnswer: j, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 2830*v - 5640.\nAnswer: -5*(v - 564)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318 - t**3 + 157 + 161.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184265602?\nAnswer: 2, 151, 181, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 691*k**2 + 1386*k.\nAnswer: -k*(k - 2)*(k + 693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 11 - 148*a - 12 in the form o*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 366 - 1064 - 1159*a + 413 + 437. Let c(o) = 38*o - 5. Give -152*c(v) - 5*m(v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (3 - -1) + (-26 - (-25 - -10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 1, p: 2, y: 1, h: 4}. What is prob of sequence hm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/2 + 40061*t**2\/2 + 60088*t + 40058 = 0.\nAnswer: -40058, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -3*n, 0*h + 5*n + 5 = -2*h. Let x be (-14)\/(-21)*(15 + h). What is the units digit of (-9)\/15 + 46\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.79785ml to litres.\nAnswer: 0.01979785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:29 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2946 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 23. Suppose -5*b + 6625 = -5*p, 0*b = -p - 4*b - 1350. Let o = -17288\/13 - p. Do o and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 0)*(-2 + 2 + 2*a)*(-11*a + 44*a + 19*a).\nAnswer: 728*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12145122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 15*o - 33. Suppose 5*d + 60 = -0*d. Let v be z(d). Calculate the highest common divisor of v and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484020 and 16020.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*h - 427, -j + 2*j = -h + 142. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*-3*3\/(-18). Suppose -3*n + q*p = -3*p + 3, -3 = -5*n + 3*p. Suppose 0*x = 5*s - 4*x - 54, -n*x + 26 = s. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5088 and 600672?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 193.87, 2\/19?\nAnswer: 193.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -7*v**4\/24 - 97*v**3\/6 + 7*v**2 + 13*v. Let n be h(-18). Solve -p + 21 = 4*b, -4*b + 3*b = 5*p - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104058?\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -314945.\nAnswer: -1259780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -3\/7, -6, 2\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1232143*v - 1232143*v + 799*v**2)*(2 + 2 - 5).\nAnswer: -799*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/1106438 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -20 + 9 - 6 - -23\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-1\/5))\/w)\/w**(-5\/6))\/(w**(5\/4)\/(w\/(w**(-1\/7)\/w)))*((((w**(4\/9)\/w)\/w)\/w)\/w*w**2)**(-2\/3) assuming w is positive.\nAnswer: w**(13469\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 + 3 + (2 - 6) + -1 + (63 - 77)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 293151584 divided by 176\nAnswer: 1665634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 154 = 4. Suppose -2*x = -5*y + j, -29 = -3*y + y - 3*x. Suppose -2*s + y*s = 245. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-90)\/(-72))\/((-2)\/(-24)). Is (-2)\/4*-1174*(-14 + f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 370*p - 371. List the prime factors of s(10).\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1003 - 1002.997667. What is c rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4920 and 0.3?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 4. Let v be u(-3). Let f be 8\/32*(16 + 0). Let d(z) = -1 + 0*z**3 + 0*z**2 + f*z**3 + 2*z**3 + z**2. Calculate d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:06 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 107*a**2 - 71*a + 36. Let x be j(35). Let r(k) = -1. Suppose -3*l + 6 = -2*l. Let b(z) = 2*z + 4. What is l*r(p) + x*b(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*s - 354, -2*s - 2*r + 171 = -173. Solve 12 = s*n - 170*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(-704)\/(-1232)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4537 = 1922. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 33. Calculate q(-26).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(1331) - (sqrt(1331) - sqrt(1331)*3)*2))**2 + -5.\nAnswer: 550*sqrt(11) + 33295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4356*v**6 - 4*v**5 - 372*v**2 - v + 1 wrt v?\nAnswer: 522720*v**3 - 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/140*14?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*-2*(-1 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 463\/2 + -236. Which is the third biggest value? (a) -0.5 (b) -0.03 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -48. Let h = 28.6 + -25. Let y = 4 - h. What is the smallest value in y, 5, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.3432 decades?\nAnswer: 0.073432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 + 90. Let z = 67 + w. What is the fourth biggest value in -3, 2, z, -4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.04 + 2.02. Which is the smallest value? (a) 1 (b) m (c) 2\/7 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 + 1 + 1 + (-12)\/4 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -30*k + 3. Let a(m) = -300*m + 30. Let b(o) = -2*a(o) + 21*r(o). Let n(l) = 2*l**2 - 76*l + 73. Let w be n(37). What is the units digit of b(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 18*j**4 - 52095*j**3 - 1091316*j**2 - 5273547*j + 909480 = 0.\nAnswer: -13, -8, 1\/6, 2915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {y: 3, r: 10, j: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/30 - 2*w**2. Let h(t) = -4*t - 2. Let z(j) = -11*j**2 - 12*j - 5. Let a(s) = -3*h(s) + z(s). Give y(a(f)).\nAnswer: -242*f**4 + 44*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 468, 697?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) -5.17 (c) 2\/3 (d) 0.2 (e) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/11)\/f)**41*((f\/(f*((f**7*f)\/f*f)\/f*f))\/f)\/f**(1\/2) assuming f is positive.\nAnswer: f**(-45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(((m*m**(-1\/3))\/m)\/m))**(1\/6)*(m**(1\/4))**(-20))\/((m**0\/m)**(1\/85)*(m**(-1\/3)\/m)**(2\/105)) assuming m is positive.\nAnswer: m**(-15139\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/2 + 155*c**4\/2 - 6231*c**3\/2 + 17173*c**2\/2 + 3116*c - 8664 = 0?\nAnswer: -1, 1, 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Suppose 0*t + 2064 = -b*t. Let m = t + 955. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgug when four letters picked without replacement from huggguug?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212815 is divided by 212806.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3584786, 3584802, 3584834, 3584888, 3584970, 3585086, 3585242, 3585444?\nAnswer: 3585698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 5 (c) 1\/7 (d) -40 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 12) in base 3?\nAnswer: -102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2730.391 tonnes to milligrams.\nAnswer: 2730391000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6406 + -109?\nAnswer: -6513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -323 - -343. Solve -17*i - 12 = -a*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16732090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1614, 3, 4 in descending order.\nAnswer: 1614, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2 - 5*z + 27. Let h = 95 - 102. Let s(k) = -7*k**2 + 6*k - 26. Let u(g) = h*s(g) - 6*v(g). What is the hundreds digit of u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from seweweeeeeweseeyw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29953915807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*w + 1. Let h be (72\/(-21))\/(-2)*w. Let o be 2007\/(-446)*(-208)\/6. Calculate the greatest common divisor of h and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87667517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12856 - -6800822\/529. Which is the second smallest value? (a) 3 (b) -0.3 (c) y (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100448 (base 13) to base 12\nAnswer: 15b365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1228 + -428. What is the greatest common divisor of h and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 105*s + 35. Let t be a(-5). Let z = t - -698. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v + 3. Let i be g(-2). Let t = i - -6. Let z be (t - -1)\/(22 + 0). Which is the biggest value? (a) z (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -25, -174 in ascending order.\nAnswer: -174, -25, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 10072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49876784*p*y**2 + y**2 + 55700102 with respect to p.\nAnswer: -49876784*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + j**2 - j**2 + (4 - 1 + 0)*(6*j**3 - 4*j**3 + 0*j**3 + (-j + 4 - 4)*(-3 + 3 - 2*j**2) + 4*j**3 - j**3 - 2*j**3 - 3*j**3 + 0*j**3 + 4*j**3).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52029 is divided by 3695.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81503 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 10*r**2 - 12*r - 9. Let y be k(-11). What is the tens digit of (-6 - -4)*(y - 6 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2*a + 2. Let v be i(2). Suppose 5*x + v = -13. Do x and -3 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\/4 in 13, -1, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r = 2*r - 414 + 62 - 826 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607, 2331, 5173, 9133?\nAnswer: 14211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -18*v**5 + 2 - 2*v**2 + 6*v**4 + 14\/3*v**3 + 0*v. Determine n so that c(n) = 0.\nAnswer: -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*i - 4*i**3 - 160*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 721221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 162.44. Let t = -35 + 31.56. Let p = t + g. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 + 1. Let h be j(6). Suppose 2*d - h = d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*d + 2*d + 58, -5*d + 4*z = 173. Does 3 divide 10\/2*d\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 - 3*u**3 + 5*u**3 + (2*u**2 - 5*u**2 + 2*u**2)*(-u - 10*u - 2*u)*(4 + 3 - 5) in the form j + i*u**3 + a*u + y*u**2 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 4424441230?\nAnswer: -4424441310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, 1 m, and 1 h when four letters picked without replacement from mzoohgvozhvggmogzv?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 10*k - 115. Let b be m(4). Solve -4*c + 3 = -2*c - 3*v, -b*c - 2*v + 17 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 12}. Give prob of picking 3 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 21*c + 1 - 1 in the form k*c + f and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 83.9. Is u less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/52, 0.006, 3, 175?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45647214 is divided by 1755662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*sqrt(540)\/sqrt(3))**2.\nAnswer: 300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 205 = -5*x - 10, 2*x = q + 78. Let k = x + -55. Let l = 42 + k. Calculate the remainder when l is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23704 by 5926.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1) + (1 - -1). Let i(v) = 4*v - 4*v + 4*v**n. Let j(o) be the third derivative of -o**4\/24 + 32*o**2. What is i(j(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-20))\/(154\/176))\/(15\/100).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 407 = 3*k + 2*o, -5*o - 410 = -3*k. Suppose 3*w - k = -4*q, -2*w - 5*q = -q - 94. Solve -4*s + 16 = 0, -w + 14 = 3*d - 3*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1612431 and -19\/182853.\nAnswer: 17736741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a45a0 (base 13) to base 6.\nAnswer: 22142230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 15. Let z(j) = 2*j - 14. Calculate 7*f(x) - 6*z(x).\nAnswer: 2*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 18 (b) 5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(355\/(-30) + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5326889691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Let g = t + 3.1. Suppose -1 = 2*u + j, 7 = -2*u + 2*j + 3. What is the closest to g in -0.3, 1\/7, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 102 - (-3 + 2 + 1). Let r = a + -46. Suppose -2*w + 3*d = -8 - 22, -5*w + r = 2*d. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -35. Let i = h - 13. Is (6 - -1) + -3 + i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 + 187*x**2 + x - 11*x**2 + 81 to the form s + f*x + t*x**2 and give t.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4568 + 12168. What is z rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68224230 or 68224228?\nAnswer: 68224228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 1\/2*p**2 + 29 - 13*p. Let x be j(14). Solve h = -1 - x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t - 14*t + 7*t to b*t + p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652111 (base 7) to base 5.\nAnswer: 12113330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173311 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 25 - (-1 + -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*s**2 + 29*s**2 - 35*s**2 to d*s + y + w*s**2 and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145 * -38852.\nAnswer: -5633540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or -2481556?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + b6c3?\nAnswer: b6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1062 = -4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + -17)*(-2)\/3. What is the common denominator of 53\/8 and (2\/w)\/(33\/108)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -589589, -1179164, -1768727, -2358278?\nAnswer: -2947817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -607, -900, -1177, -1432, -1659, -1852, -2005?\nAnswer: -2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2179*m - 33 = s - 2184*m, -3*m = s + 49 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 17 = 4*v, -v - 5*c = -3*c - 7. Solve -4*t = v*a - 32, 0 = -5*t + a + 4*a - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 + 56*h + 120 = 0. Calculate h.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80836 is divided by 188.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3\/3 - r**2\/2 + 4*r + 1. Suppose 0*n = 6*n - 4*n. Let x be g(n). Solve -x*q - 12 = -2*l, -18 = -0*q + 2*q + 2*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12820 is divided by 313?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 - w**4 + 2*w + 207*w**2 - 115*w**2 - 94*w**2 - 2*w - 6 to s*w**2 + c*w + y*w**3 + o*w**4 + l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2682.89 + 0.5.\nAnswer: 2683.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 5*h - 2. Let w be o(3). Let z = w + 14. Factor 3*d**4 + 3\/2*d**3 + 0*d**2 + 3\/2*d**5 + z*d + 0.\nAnswer: 3*d**3*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001779717915 to 6 decimal places.\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (8 + (-17 - 1))) + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 62 + 8 = -2*p, q - 4*p - 32 = 0. Suppose -4*u + q = -u. Let a(z) = u*z - z + z - z. Let t(m) = 2*m. What is a(t(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411077 - -0.4?\nAnswer: -1411076.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.37484 + 1743211064\nAnswer: 1743211064.37484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 20*j**3 + 4*j**2 - 20*j.\nAnswer: -4*j*(j - 5)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o - 3*o**2 + 10*o**2 - 9*o**2.\nAnswer: -2*o**2 + 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/9)\/(7\/(-21)). Suppose -n + i = -x*i - 46, 4*n - 205 = -i. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 24, -5 in increasing order.\nAnswer: -5, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from yyyyycycyccynyyyyyyc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 4*g. Let k(o) = -3*o**2 - 12*o - 1. Let y(n) = -7*f(n) - 2*k(n). Suppose -5*m + 63 = c, 414 = 4*c + 3*m + 145. Let p = 63 - c. Calculate y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.7. What is the closest to -2\/7 in 0, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2358, -2178, -1998?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7355*l*x**2 - l*x + l + 2*x**2 + 3273 wrt x.\nAnswer: -14710*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g - 5*k, 7*k - 4*k = -g. Suppose 0 = y + 8 - 8. Solve y = 4*v - g - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from zttzzhbztzbhtbzttb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 0*x + 19*x + 124, 3*d + 5*x = -26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c0a4b2 (base 13) to base 14.\nAnswer: -848071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16756, 34553, 52350, 70147?\n\"Answer: 17797*t - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 934 - 491 - 2*u**2 - 442 - 21*u to m*u**2 + k*u + d and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240851843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182044896 divided by 3792602.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/10)\/((-1)\/(-1)). Let l = 0.4 + -0.4. Let r be 38\/9 + 2\/(-9). Which is the smallest value? (a) h (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {t: 7, f: 12}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15963 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*l - 12 = -5*l, 2*k + 4*l - 20 = 0. Calculate the greatest common divisor of 18 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-14*(1\/3)\/(72\/(-54))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 20*s + 148 - 54 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5 - 6*(-3)\/40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/80 + 9*s**4\/16 + 4*s**3 + 23*s**2\/2 - 72*s + 1. Suppose t(k) = 0. What is k?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244710042, 244710043, 244710044, 244710045, 244710046?\nAnswer: 244710047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 6. Suppose 3*d = -7 + 43. Let o be d\/42 - 94\/84. Which is the third smallest value? (a) y (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by 22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**1*z))\/(z*z**(-1\/3)))\/((z\/(z**(-5\/4)\/z))\/(z**4*z))*(z\/(z\/(z**(2\/7)*z))*z*z**(-2\/9))\/(z**(-1)\/(z\/(z**(-1\/3)*z))) assuming z is positive.\nAnswer: z**(877\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-29 - (-12 + 23)) + 11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*b + n, n = 13*b - 2*b + 59. What is the nearest to -0.2 in -2, -62\/9, b, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-35) - (-2 + 3 - 0)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 4127744*b.\nAnswer: -2*b*(b + 2063872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-2) + 6\/(-4). Solve -24 = c*l - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8062*v**2*x*z - 3*v**2*x - 2*v*z - 809*x*z - 129*z wrt v.\nAnswer: -16124*v*x*z - 6*v*x - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115496 and 272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32050199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*r**5 + 411*g**3*r + 2390*g*r**5 wrt r.\nAnswer: 40*g**3*r**3 + 47800*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1658420 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*u = -191*u + 4727 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -225313?\nAnswer: -225310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2839 and 2300759?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -438*n + 219*n + 215*n. Let i(d) = -21*d**2. Give i(j(m)).\nAnswer: -336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 76*a**2 + 5*a**3 - 59*a**2 + 144*a**2.\nAnswer: 2*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 52.6, -4, -2, 0, 1\/2, 0.02 in increasing order.\nAnswer: -4, -2, 0, 0.02, 1\/2, 52.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8189.\nAnswer: 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*g**3*h**3 + 3*c*g**3*h + 2*c*g**3 + 10*c*g*h**3 + 14*g**3*h**2 - 2*h**2 wrt h.\nAnswer: -18*c*g**3 + 60*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 0 + 2\/3*v**3 + 5\/2*v**2 + 24*v + 1\/12*v**4. Calculate h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178303746, -178303745, -178303744, -178303743, -178303742, -178303741?\nAnswer: -178303740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/18 and -143\/474.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 f when three letters picked without replacement from {t: 2, h: 4, c: 1, z: 1, f: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382012024 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**4 + 13665*z**3 + 258070*z**2 + 651360*z = 0?\nAnswer: -2714, -16, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:46 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -4*a**7\/105 - a**6\/30 + a**5\/15 + a**2. Factor d(c).\nAnswer: -4*c**2*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2046200485?\nAnswer: 5, 7, 58462871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/970600 and 11\/8.\nAnswer: 970600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*g - 2*g = 5, -g - 13 = -5*f. Suppose 4 - 13 = -3*j. Factor 0*a**2 - a**j - f*a**5 - a**4 + 4*a**5 + a**2.\nAnswer: a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/3*(-21)\/6. Let w(p) be the first derivative of -p**4\/4 - 8*p**3\/3 - 9*p**2\/2 - 8*p - 48. Let v be w(c). Solve -4*r + v = -2, -b = r - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Let x(u) = -u**2 + 8*u + 1. Let m be x(8). Suppose -f = m - r. What is the nearest to 1\/3 in f, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**5\/30 - y**4\/12 - 3*y**2 + 6*y + 48. Let o(v) be the second derivative of k(v). Factor o(j).\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1295 - -242. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:18 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -232960938 divided by -42\nAnswer: 5546689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-973)\/(-17550) - (-12)\/(-156) and 3\/250.\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 13. Let s = -2.4 - y. Suppose -p - 3*v + 5 = -3*p, 2*p + v = 15. Which is the biggest value? (a) s (b) p (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199 + -191. Let k(h) = h**2 - 5*h - 21. Let v be k(l). Solve 2 = 4*d + 5*i - 15, -5*d - v*i + 18 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61\/5 + -59\/5. Sort -3, 3, f.\nAnswer: -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 7440 = 8*l + 50*l - 125*l for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-24)\/8 - -2) - 1. Sort 2, r, 5 in descending order.\nAnswer: 5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -19 (c) 2.91 (d) 2\/593\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2 - 2*d + 1. Let k be s(1). Suppose -6 = -7*f + k*f. Suppose 0*h = f*h - 333. Calculate the remainder when h is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30727643 rounded to the nearest ten thousand?\nAnswer: 30730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00511743 to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, -3, -1, 0.5, -373\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187*l - 104*l - 114*l to the form v + t*l and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 94344225 + 94343103 = 0 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.99 - 1. Let n = -0.11 - r. Let b = 0.155 - 0.205. Are n and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-9))\/(r*r**7*r))**(2\/65) assuming r is positive.\nAnswer: r**(-34\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(180) + 4 + -1 - ((sqrt(180) - (2 + (sqrt(180) - (sqrt(180) + 1)))**2) + -3 + (sqrt(180) + 0)**2).\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*p - 13 = -k, p = 4*k - 5. Let a be k\/2*45190\/35. Let f = a + -1284. Find the common denominator of f and 37\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 8679?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = -84 + 132 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 - 4.81. Let f be (1 + 10\/(-4))*-2. Suppose -f*a + 8 = a. What is the second smallest value in t, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17895494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2*u**(-15)*u*u**(-17)*u*u*u**8)**(1\/16) assuming u is positive.\nAnswer: u**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171940 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-1 - 2) + -4 + (-70 - -7) + 3).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 15)*12\/80. Let b = 56 + -614\/11. Put 1\/5, j, b in ascending order.\nAnswer: b, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300028 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 480*r - 280*r - 530*r + 867*r + (3*r + r - 5*r)*(3 + 0 + 0) to the form j + i*r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29794 is divided by 102?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*g + 3*p, 3*g - 17 = 18*p - 38 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 3 - (0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.263393 to 3 dps.\nAnswer: -0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:14 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378373, 378317, 378221, 378079, 377885, 377633, 377317?\nAnswer: 376931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -29*h. Give y(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5532\/37 or 151?\nAnswer: 5532\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/(-24)*((-23310)\/300)\/111.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -73971?\nAnswer: -2\/73971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.29358 to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 = -4*v, 5*v + 17 + 8 = 0. Let y = 955 + -947. Suppose -2*m - y = -h*j, 2*j = 1 + 3. Is m >= -1\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/5 (b) -610 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-8 - (2 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000409733213 rounded to seven dps?\nAnswer: 0.0004097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282549079.\nAnswer: 282549079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -547, 0.04, -0.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(252) + 2 + 1 + sqrt(252)*-2 + 2)**2*5.\nAnswer: -2400*sqrt(7) + 11080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 32 + 18 = 2*h, 5*k + 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629064706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**32\/a)\/a)\/(a**18\/a))\/(a**(3\/22))**4 assuming a is positive.\nAnswer: a**(137\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - -0.6. Let y = -10299 - -10297.95. Let q = y + n. Which is the nearest to 0? (a) 2\/11 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 - ((-16)\/(-16))\/((-4)\/(-16)). Solve 0 = 6*x - l*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 74*d + 10*d - 2 - 325*d + 302*d.\nAnswer: -87*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101\/404)\/((-1062)\/(-72)).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1550505*j**4 + 3*j**2*k**3*n - 3*j*n - 4243*k**3*n - 17*n wrt j.\nAnswer: -18606060*j**2 + 6*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/189536 and -57\/118460?\nAnswer: 947680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 140118, 280236, 420354, 560472?\n\"Answer: 140118*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (12 + -2 + -3 - 19) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28888.\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + t + 2*t + (0 + 2 - 1)*(2*t + 2*t - 6*t) - 2*t - 3*t + 12*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71401997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3667 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39319*k**3*m**2 + 378*m**2 + 49 wrt k.\nAnswer: 117957*k**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**2 - 2. Let q(n) be the second derivative of 7*n**4\/4 + 64*n. What is q(w(j))?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -207767 and -2310.\nAnswer: 479941770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**4\/12 - k**3 + 2*k**2 - 6*k. Let m be i(-6). Solve m - 5 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/15866?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m - 55*m + 78*m - 59*m.\nAnswer: -92*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 4*h**2 - 3*h + 2. Suppose -10 = -2*d - 2*i + 4, -i = -4. Let u be l(d). Solve -4*k + 4 = u*r, -3*r + 3*k = -0 - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/9 - 12742*w\/9 + 25492\/9 = 0?\nAnswer: -6373, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 339, -4, -30 in increasing order.\nAnswer: -30, -4, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.565 and 414.\nAnswer: -647.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2466 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05278*0.2551\nAnswer: -0.013464178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 3568253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 727468 and 207848.\nAnswer: 1454936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 32*x + 31*x + 27*x**2 - 63*x - 29*x**2. Let b(g) = 5311*g. Calculate b(d(f)).\nAnswer: -10622*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -690, -1046, -1410, -1782?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5640 (base 7) to base 3.\nAnswer: 2210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345499079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f**(2\/11))**(2\/3)*f*f*(f*(f**(-4\/3)\/f*f)\/f*f)\/f*f**6*f**3*f**(-6)*f assuming f is positive.\nAnswer: f**(430\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519865789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 15. Let m = g + -21. Solve 1 - m = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 40 and -3782 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778 minus -0.5?\nAnswer: 2778.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let h(s) = -s. Let b(o) = -14*o. Let r(n) = b(n) - 6*h(n). What is j(r(w))?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85823.\nAnswer: 19, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 155931 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 2*b**3 - 5*b**3 + b**3)*(-39*b - 236*b - 196*b).\nAnswer: 942*b**4 - 942*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31800 divided by 15900?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*2 + (-18617263)\/77. Let r = b - -242347. Let o = r + -562. Is o at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = g. Let r(a) = 2*a**2 + 3*a + 1. Let d(h) = -4*h**2 - 7*h - 2. What is g*d(c) - 5*r(c)?\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhh when three letters picked without replacement from {h: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*a**3 - 33*a**2 + 15*a**2 + 69*a**3 + 18*a**2.\nAnswer: 145*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -353.76 - -353.75966822. What is g rounded to six dps?\nAnswer: -0.000332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = p - 1, 3*p - 2*w + 3 = -7. Let i(a) = -a**2 - 6*a - 5. Let u be i(p). Suppose -2*g - 1 = -u*g. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 11, 4631\/29, 4\/9 in descending order.\nAnswer: 4631\/29, 11, 3, 4\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/s**(-2\/3)*s**5*s*s\/s**2 assuming s is positive.\nAnswer: s**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 54*((-28)\/(-12))\/7.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*o - 313*i**2 - 2*i*o - 258*o wrt i?\nAnswer: -4*o - 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, g: 7, h: 1}. Give prob of sequence gggh.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n**2*z**2 - 2*n**2*z - 3*n**2 - 19*n + z**2 + 3331 wrt n.\nAnswer: -12*n*z**2 - 4*n*z - 6*n - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 60*o**2 - 1121*o + 7793. Determine m(7).\nAnswer: 2886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*f - 144*f - 162*f - 171*f + 826*f - 175*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 16*f + 20. Suppose -4 = -4*a, j + 0*j = -a - 10. Let b(n) = 4*n + 12. Let t(g) = 17*g + 56. Let s(o) = 5*b(o) - t(o). Give j*s(l) + 2*c(l).\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n**2. Let r(o) = 22*o**2 - 5*o - 6. Let x be r(-1). Suppose 14 = -14*g + x*g. Let v(u) = -7*u**2 + 0*u**2 + 3*u**g. Determine v(y(s)).\nAnswer: -1444*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009115 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 343726 and 4.7?\nAnswer: 1615512.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 541*s**3\/3 - 2*s**2 + 22*s - 470. What is the second derivative of m(y) wrt y?\nAnswer: 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 - -2. Let x = 942.31 - 944.910055. Let m = x - s. Round m to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 31*g**4 + 3 + 0*g**3 - 21*g**4 + 6 - 17*g**4 + g**3 + 2*g to w + s*g**2 + m*g**4 + l*g + q*g**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1019 - 459. Let w = u - 442. Calculate the remainder when w is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from rttrrtrrtrrrtrrrtrt?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, 25617, -0.2, -2\/17 in ascending order.\nAnswer: -0.2, -2\/17, -0.1, 0.2, 25617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*g + 3 + 1, -5*l - 4*g + 6 = 0. Solve -m = 2*w + l*m + 1, m = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/((-54)\/(-27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -78273800022871?\nAnswer: -78273800022871.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -1. Let w = 118\/7 + -3221\/189. Let r = 61\/108 - w. Which is the third biggest value? (a) 0.2 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -474*y**4 - 2*y**2 + 4*y**3 + 4*y**2 + 580*y**4 + (1 + 6 - 4)*(-y**3 + 2*y**4 + y**3 + (4 + y**2 - 4)*(-y**2 + 2*y**2 + y**2) + y**4 - 4*y**4 + y**4).\nAnswer: 112*y**4 + 4*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose 3*u - u + 128 = g. What is the units digit of 18\/30 - u\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 4. Let i = -139 + 140. Let h be a(i). Suppose 25 = h*x - 3. Solve u - 3*j - 3 = -0, -5*u = -x*j + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(170) + -1*-1*sqrt(170))\/(sqrt(20)\/(2*sqrt(2)*3)))**2*-6.\nAnswer: -132192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9*-1*0\/42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 - 63. Let m = -198 - s. Sort -5, m, 7.\nAnswer: -5, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4329990)\/55300 + (-1)\/(20\/(-6)) + 13?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*105\/(-245).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 94394978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = 0, -4*i - 2 = -5*i - 2*w. Let r be (-3630)\/(-24) + (-2 - (-11)\/i). Suppose -r = -3*c + 55. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)*u*u*u**(-2)*u*(u\/u**(2\/5))\/((u**(1\/9)*u)\/u*u))\/((u*u**(5\/4))\/u*u**(-1\/4)*(u*u**(2\/7)\/u)**(-9)) assuming u is positive.\nAnswer: u**(712\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 312673476 a multiple of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/30)\/(2\/(-12)). Let m be (-27)\/(-2) - (-2)\/(-2). Let o = -171\/14 + m. What is the closest to 2 in 2, o, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 920, 2086, 3712, 5792, 8320?\nAnswer: 11290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -20*n - 4*s - 13, 0 = 2*n + 5*s - 25. Let q be 5\/(-15) - ((-20)\/4 + n). Let b = -5 - -4. What is the nearest to b in -1, 12, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o**2 + 5*o + 5. Let f(b) be the third derivative of -7\/6*b**3 - 29*b**2 - 7\/24*b**4 + 0*b + 0 + 1\/4*b**5. Calculate 5*f(j) + 7*y(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - b - 11 = 0, -7 = 3*p + 4*b + 7. Let q(c) = -4*c + 3*c + 4*c**p + 5 - 3 + c**3 + c**2. Calculate q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 841, 838, 837, 838, 841?\n\"Answer: r**2 - 6*r + 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 14*u + 16. Suppose 0 = -4*y + a + 67, 3*y = 4*a + 46 - 12. Let r be v(y). Suppose r = 3*j - 392. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 + 2*t + 4. Let p be v(-2). Which is the nearest to p? (a) -0.2 (b) 0.5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**2 + 11*q + 2. Let i(k) = 20*k**2 + 35*k + 7. Let f(m) = -4*i(m) + 11*y(m). Suppose f(h) = 0. Calculate h.\nAnswer: -6, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*n**3 + 0 + 0.\nAnswer: -9*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188857.\nAnswer: 4188857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k - 14091 + 13454 = 0 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(275) - (0 + sqrt(275))) - sqrt(275))*-4 + -1 + (1 + (sqrt(275) + 1 - sqrt(275)) - (-2 + sqrt(275) + 0)))**2.\nAnswer: 330*sqrt(11) + 33284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 = 7*n - 506 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 25. Let k be o(-23). Suppose -40*c + 10*c - 30 = 0. Let m(s) = 10*s**2 - s - 1. Let q be m(-2). Sort k, q, c.\nAnswer: k, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -121*d. Let w(a) be the second derivative of a**4\/3 + 9*a**2 + 2*a - 826. Calculate w(l(r)).\nAnswer: 58564*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 25*z**2 - 33*z + 175. Give a(-24).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(7 - 1 + 4*g + 6).\nAnswer: -8*g - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**3 + 4*o. Let f(b) be the third derivative of b**6\/15 - 7*b**4\/24 + 1408*b**2. Let l = 4 + -8. Calculate l*f(k) - 7*a(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(-5 + 5). Suppose p = 2*a - 0*a. Suppose a*g - 4*g + 252 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 + 578*i - 1716 = 0. Calculate i.\nAnswer: 3, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18281 + -18281. Which is the third smallest value? (a) v (b) -0.1 (c) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.032202 and -13243.\nAnswer: -13243.032202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 0)\/(-2 + -1 - 19). What is the nearest to l in 0.26, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535737\/96 > 47248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 48305 = -11455. Which is the smallest value? (a) 1 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.1 (c) 0.1 (d) 97 (e) 1\/8 (f) -0.25 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/136 and 87\/64.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -13. Let z = -8 + q. Let p be 1*(-3 + 3)\/3. What is the nearest to -0.1 in 2\/7, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -19. Solve b - 4 = w*b - 4*v, 5*b + 5 = -3*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331320 divided by 40?\nAnswer: 8283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (512\/20)\/(-4)*5\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + l)*(-2*l + 4 - 4 + (2 + 1 - 1)*(3*l + l - 2*l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/16)\/m))\/(m*m**21)*(m**(-5\/6))**(1\/15))**34 assuming m is positive.\nAnswer: m**(-51697\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Calculate the lowest common multiple of 1 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*n - 2 = 0, -2*w = 136*n - 137*n - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, f: 2, c: 1, h: 7, n: 8}. What is prob of sequence nhc?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from vlxlx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*n + 1207*n - 3318*n)*(-3*n + 0 + 0).\nAnswer: 6705*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 49\/1*((-12)\/7)\/(-12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -458\/5. Let f = 55 - 55.3. Which is the nearest to -1? (a) f (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71492 (base 15) in base 8?\nAnswer: 1274603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15 - (-2 + 0)) + -2. Let c(g) = -g**2 + 15*g + 19. Let r be c(16). Suppose -u = -6*l + r*l. Let q(w) = w - 4. Give q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 - 2 + 2 + 2 + (-3 - 2 + 4)*(-1 - 2 + 4) - 4 + 2 + 3 + 0 - 2 + 1 - 4 - 3 + 6)*(-1853*s - 1313*s - 77 + 77).\nAnswer: 6332*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*b - 503 + 503)*(b - 1 + 4 - 4*b) + (-2*b + 3 - 3)*(-4*b + 0*b + 3*b) + 3*b**2 + 2*b**2 + 4*b**2.\nAnswer: -88*b**2 + 99*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608420 = -14*j + 24*j. Suppose 3*f = 3*l + 53178, 5*f + j + 27828 = -5*l. What is l rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 70710.07g?\nAnswer: 70.71007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.3, 7\/8, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-1 + 18 + -15. Suppose 5*c + o*d - 190 = -0*c, c = d + 38. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 - -21 - (-66 - -21) - -149.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m + 30 = -47*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 5*l + 7 = 5*t + 2*t, 18*l = -5*t - 51 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * -22269.\nAnswer: 1313871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:18 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26860 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12456 and 12?\nAnswer: 12456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 12, t = 2*b + 143 + 210. List the prime factors of (7 - b\/(-20))*-204.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 332187692*h - 332187688.\nAnswer: -4*(h + 1)*(h + 83046922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -29198\nAnswer: 29198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -917, -1354, -1795, -2240, -2689, -3142?\nAnswer: -3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*g - 48 = 0, -2476*r = -2472*r - 3*g + 114 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.010596g in micrograms?\nAnswer: 7010596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.963189 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082704 a multiple of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c + 1563 = -32*c + 47*c - 24 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -9 (b) 29 (c) 3\/2 (d) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 19161026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -35 times -2.3\nAnswer: 80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -1) + (-14 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1576.013mg to nanograms.\nAnswer: 1576013000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402900 is divided by 241.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 4*k**2 + 20*k**2)*(60 - 60 - 216*k**3).\nAnswer: -4536*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o + 1. Let q(c) = 2*c**2 - 61*c - 2. Let k be q(0). Determine y(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 103*o**2 - 11*o - 34. Let r(k) = 51*k**2 - 6*k - 18. Let n(x) = 6*d(x) - 11*r(x). Differentiate n(l) with respect to l.\nAnswer: 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = 0. Let m(v) = -3*v + 5*v + g*v. Let z(k) = -5*k - 7*k + 10*k. Calculate m(z(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 11*i**2 - 3*i + 8. What is the tens digit of v(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 40. Let i be l(13). Calculate the lowest common multiple of (26 - 11)*((-2)\/6 + i) and ((-9)\/6)\/(3\/(-212)).\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d740 + -f2?\nAnswer: -3d832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -500.4338 take away -0.3?\nAnswer: -500.1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 2880\/80)\/(((-45)\/(-12))\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 79 - (-348 + 419).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:14 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42606 and 152014?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 730453 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**4*x**3 - 4*h**3*x**2 - 3*h*x**3 - 14*h*x**2 wrt h.\nAnswer: 36*h**2*x**3 - 24*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i - 2. Let b be c(-6). Let d be 29612\/33 - b\/3. Suppose 2*u = -6*u + d. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 5*o = -9, 2*o + 367 + 407 - 770 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -296. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7518 and -0.09.\nAnswer: -676.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. What is the least common multiple of p and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 22239 = 1959. Let g = 3735 + h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31828698*s*w**3 - 2*s + 202124215*w**3 wrt s.\nAnswer: -31828698*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 361 + 159 = 0. Let u be (v\/15 - -3)*-3. Let w = u + 38. What is the greatest common factor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -312013 > -312038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 6*p**4 - 5*p**3.\nAnswer: -p**3*(p - 5)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/13 + -88\/117. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 8*h + 27. What is the remainder when t(7) is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Give m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**2 + 14*c + 14. Let x be d(-1). Sort 3, x, -2, 4.\nAnswer: x, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824305482 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 29*d + 276 = 0. Solve n - 10 = -d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + 0 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 + 16 = 14*b. Calculate the highest common factor of 15 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -109*w**2 + 29*w**2 + 17*w**2 + 30*w**2 + 30*w**2 - 4*w**3 + 7*w. Let h(s) = s**3 + s**2 - s. What is b(p) + 6*h(p)?\nAnswer: 2*p**3 + 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 630, 0 in increasing order.\nAnswer: -5, -4, 0, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 8*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1885280685 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 1. Let j(w) = -w**3 + 36*w**2 - 29*w - 10. Let m(a) = 4*g(a) - j(a). Let r be m(31). Which is bigger: r or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**3 - 104*v**3 + 38*v**3 + 34*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 9 = 4*v - 3*m, 0 = -5*v + 4*m - 72. Is 3\/12 + (-3153)\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6927.025 centuries to months.\nAnswer: 8312430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14*q*q**(-9\/8))\/(q**(-6\/7)\/q**(-16)) assuming q is positive.\nAnswer: q**(-71\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a - 326. Let k(c) = -18*c + 652. Determine -2*k(h) - 5*q(h).\nAnswer: -4*h + 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 + 71 - 5) + -20 - (97 + -1)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 46*g**2 + 85*g + 29. Is 20 a factor of c(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**24*z\/(z\/z**17)*z)\/(z\/z**(-2\/59))**(-39))**(-19) assuming z is positive.\nAnswer: z**(-92283\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(20)\/sqrt(4)*-1 - sqrt(5) - sqrt(480)\/sqrt(6) - (1 + (-5 + sqrt(80))**2 + sqrt(80)).\nAnswer: -106 + 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 5. Let w = 4.228 + -4.228. Which is the fourth smallest value? (a) r (b) w (c) 0.07 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 - 0.2. Let h be (-11)\/(-4) + (-35 - -32). Which is the nearest to 4? (a) q (b) -7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(13)*-1 + (-3*sqrt(325))**2 + sqrt(325).\nAnswer: 2*sqrt(13) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20901 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:34 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2, 3, -0.4, -12, -38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19505, -3, -11419 in descending order.\nAnswer: 19505, -3, -11419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 190 = 3*v - 7*v, 3*x = -2*v + 584. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 41*s**2. Let d(n) = 1394*n**2. Let i be 10*15\/120*164. Determine i*u(o) - 6*d(o).\nAnswer: 41*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112061758 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 117?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/7 + 1424*a**3\/7 - 87450*a**2\/7 + 1406988*a\/7.\nAnswer: -2*a*(a - 646)*(a - 33)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0949829 * 483\nAnswer: 45.8767407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 2271040 = -918335. Suppose -9*u = -s + 34362. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = n - 9, -29*n = -25*n - y - 15. Factor -4*q**5 + 15136*q**2 - 3820*q - 344*q**4 - 628*q**3 - 4800*q - 6416*q**n + 876*q.\nAnswer: -4*q*(q - 1)**2*(q + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 - 6 + 5 - l**2 + 5*l**3. Let t be (1 - 2)\/((-16)\/80). Let a(s) = -3*s**3 + 5*s**2 + 5. What is t*b(g) + a(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 - 85\/(4 - -13). Let j(w) = -w**3 - w**2 - w. Let x(s) = 6*s**3 + 3*s**2 + 3*s. Give r*j(n) + x(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108174597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/((-56007)\/(-1397)) + (-29)\/12?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 7*h - 6. Let j be p(6). Suppose -7*q = -4*q - 5*w + 16, 12 = -3*w. Let d = j - q. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-48))\/(126\/(-1701))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 4*y. Let n(k) = -11*k**2 + 12*k + 1. Let g(b) = -3*n(b) - 8*p(b). Give g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*c + 31783 - 153225 = -868*c - 446*c for c.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82852 = 50*c - 96480 - 50768. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let f = 3.9 - u. Let j = f - -0.6. Sort j, -4\/9, -5 in increasing order.\nAnswer: -5, -4\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705953.662686 - 0.4?\nAnswer: 1705953.262686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(15)\/sqrt(5)))\/sqrt(8).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 236, 250, 296, 392, 556, 806?\n\"Answer: 3*i**3 - 2*i**2 - i + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 1. Let y(k) = -3*k**3 - 2*k**2 + 2*k - 3. What is 5*q(a) + y(a)?\nAnswer: 2*a**3 - 2*a**2 + 2*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1\/11 (b) -0.4 (c) -2.6 (d) 0.2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31628592 by -18.\nAnswer: -1757144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2648*y + 82797 - 6005 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + 12*r**3 + 20 + 5*r**3 + 2*r**3 wrt r?\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from hnzbl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-226 + 621 + 263)*(2*c - 3*c + 3*c) - c + c + 2*c + (-4 - 3 + 5)*(0*c + 4*c - 5*c) + 3 + c - 3 - 4*c + 4*c + c as i*c + k and give i.\nAnswer: 1322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1\/j*j)**45*((j**(-1\/3)*j*j)\/j)**44*(j**5\/(j*((j*(j**1*j)\/j*j*j)\/j)\/j))**(-2\/3) assuming j is positive.\nAnswer: j**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*c + 7293 + 2709 = 2410 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.2. Let w = 0.1 - o. Let z = -5\/479 - -504\/2395. Which is the closest to w? (a) z (b) 3\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*o**3\/3 - 67*o**2\/3 - 30*o + 3 = 0. What is o?\nAnswer: -1, 3\/32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 36*h + 4. Let g(f) = -1000*f - 110. Let d(c) = -2*g(c) - 55*w(c). Let t(u) = -72*u**2. What is t(d(b))?\nAnswer: -28800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49838 divided by -76.\nAnswer: 24919\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v - 4927*v**2 + 1629*v**2 + 1683*v**2 + 1679*v**2.\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 836 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 - -198. Let z = -3 - -7. Suppose -11*c + 9 = -13. Solve -z*k - 17 = r, s*k - c*r + 4 = -4*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -40.1. Let h = -0.9 - j. Let m = h - 0.9. Which is the closest to m? (a) 0.3 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xkxkkkxkxk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.3. Suppose 5*q - 29 + 14 = 0. Which is the closest to x? (a) q (b) 6\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1386, -2774, -4162, -5550, -6938, -8326?\nAnswer: -9714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, 44, 182, 320?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2564*f + 13 = 4*i - 2561*f, -3*f + 8 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 1. Let n(s) = 89*s**2 - 6*s + 7. Let x be n(1). Let b = 87 - x. Let o(f) = 6*f**2 + 3. Calculate b*r(h) - o(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m - 2*z + 4 = 0, 0 = 2*z + 2. Let w = 1 - m. What are the prime factors of (-50)\/(-15) - w\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Suppose -3*m = 3*n - 0*n + 6, b*n - 30 = 3*m. Suppose 18 = -n*z + 3. Let q(f) = -f - 1. Give q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 41*l**2 + 93*l - 1508. Calculate r(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -15*20\/72 - 4. Let v = 0.2 - 0.1. Suppose 3*t = 8*t + 10, -3*u - t = 14. Which is the closest to v? (a) u (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u**3 + 25*u**3 - 11*u**3.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 - 5*v - 280 = 0 for v.\nAnswer: -7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2517 - 2511. Let o(p) = 2*p + 3. Give o(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezoo when four letters picked without replacement from {z: 1, o: 7, m: 2, k: 3, e: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - 12b4274a?\nAnswer: -12b42723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 28 - 17 - 14. Let f(a) = -a. Let i(w) = 6*f(w) + h(w). Let m(q) = 5*q + 2. Calculate 3*i(r) + 5*m(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4 + 0 + sqrt(931))*-2)**2 + (sqrt(19) + (sqrt(171) - (0 + sqrt(171)))**2 - sqrt(76)\/(1*sqrt(4))).\nAnswer: -224*sqrt(19) + 3789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*-89.1.\nAnswer: 4009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-48)\/(-14))\/(4\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(143)\/(sqrt(11)*-2).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*w = 9*z + 20, -20 = 5*z + 2*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2941.1964 + 66\nAnswer: 3007.1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 21*g - 434*y + 429*y, -5*g - 3*y + 54 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhmhmhhhmmmhmmhmm. Give prob of picking 2 m.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/2 + 10*s**2 + 7*s. Let w be q(6). Determine r so that -2\/3*r**3 - 2\/3*r**4 - 4\/3 + w*r**2 + 2\/3*r = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/(-216))\/(36\/32).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 60\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1709 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*t + 24*t**3 + 5*t**2 - 91 + 60 + 49 + 19*t to y*t + r*t**3 + o*t**2 + d and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/7932 and 85\/5778.\nAnswer: 7638516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 27*a. Let g(k) = -5045*k - 60. Let h(m) = -371649*m - 4422. Let b(s) = 737*g(s) - 10*h(s). What is -2*b(n) - 125*f(n)?\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428.76 - 286648.\nAnswer: -287076.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 3. Let v = -346.28289 - -348.484. Let n = v + r. Round n to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {h: 9, c: 3, v: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 35 = k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 172 + 4*g**2 + 171.\nAnswer: 11*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*d - 332, 12*d - 7*d + 10 = 0. Let c = z - -122. Let h be (3*c\/18)\/((-20)\/(-30)). Solve -5*t + h = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - ae9?\nAnswer: -aeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021 times 0.06521?\nAnswer: -131.78941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 38*a + 303. Let i be m(-27). Let k(g) = -g - 1. Let u(q) = 2*q + 6. Give i*k(x) + 2*u(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.42 + 26. Let m = -1.5 + s. Which is the closest to 0? (a) 2\/3 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001135 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -128, 8, 2\/5 in ascending order.\nAnswer: -128, 0, 2\/5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2025 and -157\/60?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4*(-5)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y - 30. Let d(k) be the first derivative of k**2\/2 - 12*k + 2. Let i be d(y). Put -1, 4, i in decreasing order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -80, -144, -254, -422?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402*j**5 - 118*j**2 - 2*j.\nAnswer: -24120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - a**2 - 4*a**2)*(a**3 + a**3 - 4*a**3) + 3*a**5 + 3 - 10*a**5 - 4 + (2 + 2 - 2)*(-3*a**2 + 3*a**2 + 2*a**5) + 2*a**5 - 3*a**5 - 4*a**5.\nAnswer: -10*a**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-3))\/(-12)*36830. Let r = -3083 + w. Let s = r - -25\/2. What is the smallest value in -5, s, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -217576? (a) -12 (b) -4\/15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/4)*i**(10\/3))\/(i**(-3\/17)\/i**(-15)))**(-50) assuming i is positive.\nAnswer: i**(54775\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 9) to base 7\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1105062 + 4?\nAnswer: 1105066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 8. Let l be w(-5). Solve l*r = -0*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7434 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1413 and 18387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.2 - -54.4. Let r = 22.3 - q. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -312?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/88)\/((-453)\/(-2416))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517659864 to the power of 1\/2, to the nearest integer?\nAnswer: 38957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13235 is divided by 79?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11*0.0435\nAnswer: 0.4785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194 + 197)*17\/3 + (-211)\/13.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 2, l: 2, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418522876 to the power of 1\/3, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 10 + -1 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 8.3355683.\nAnswer: 7.8355683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 999273 and 635901.\nAnswer: 6994911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 24171*l - 4*l**3 - 2*l**3 + 3*l**3 + 339*l**2 - 24170*l as i*l + r*l**3 + s*l**2 + n and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpddpdppdpddpddpdpp. Give prob of picking 3 d.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**3 + 3*x**3 - 3*x**3)*(-222 + 46 - 213)*(-3*x + x + x) to o + c*x + a*x**4 + u*x**2 + k*x**3 and give a.\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26995 + -26984. Let k = -123 + 222. What is the greatest common factor of g and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 34. Let b be 1\/4 + 0 + 27\/m. Solve -1 = -3*a - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/108*204\/(-90).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-44) assuming h is positive.\nAnswer: h**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15048 and 44.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 2*m**2 + 2*m)*(17*m - 47*m + 31*m) to the form r*m**2 + f*m**3 + b*m + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1778.9471 - 3.6.\nAnswer: 1775.3471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, b: 2, a: 1, g: 3}. Give prob of sequence labb.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y**(-10))**(-18\/11) assuming y is positive.\nAnswer: y**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-40)\/(-18))\/((-8)\/(-24))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2408*p = -1211*p - 1202*p + y + 120, -2*p + 51 = -y for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-24))\/((-6)\/(-27)). Suppose b*y - 33 = -9. Suppose -3 = h - y, 2*h = -4*p + 14. Is 1\/120 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/104 and -7\/1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/413 - -19483\/2478. Find the common denominator of a and -21 + (519\/18 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 80799.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 4*q**3 - 11*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -534 + 0.12.\nAnswer: -533.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 = 2. Let i(m) = m**2 + m. Let t(r) = -r**3 - 7*r**2 - 8*r + 6. Calculate the least common multiple of t(-6) and i(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -103, -220, -383?\n\"Answer: -23*q**2 - 2*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15277 + 29378. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = h - 5*k, -3*h = -k + 5*k + 206. Let v = h + 49. Let o = v + 44. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -4, 0, 12.\nAnswer: -6, -4, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 60448 = 4*t, 2*t + 30204 = 53*n - 51*n. List the prime factors of n.\nAnswer: 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 5\/2*o**2 - 4\/3*o**3 + 0*o - 1. Find the second derivative of c(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16856 = q + 3*q. Suppose -10*x - 4185 = -5*x - 3*p, 837 = -x + 4*p. Let d = q + x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6255000 rounded to the nearest one hundred thousand?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -151 + 149 - 98 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - 69 + 43 - 46*f**3 + 28 + f - f to the form w + y*f + a*f**2 + z*f**3 and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 27. Let a = r + 15. Let q(h) = -h**2 + 5*h + 2. Does 3 divide q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s - g + 44 = 0, 0 = -2*s + 4*g + 6. Let h = s - 75. Let i = -44 - h. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 440 + 28 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 21. Suppose 1 = 4*b - 7. Calculate the smallest common multiple of b\/((-6)\/8 + 1) and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24451 + -33244?\nAnswer: -102135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/48*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2101 (base 4) to base 5\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*t - 22 = -193*t - 4*y, -2*t - 7 = -y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - 10, -5*d = -5*c + 20. Let r be 0 + (0 - -2) + 0. Suppose 3*w + r*h - 15 = -d*h, 3*h = -4*w + 19. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*x - 5*x. Suppose -3*l + 10 = 28. Let s = l + 13. Solve -26 = -2*b - x*n, 0*n + n = -b + s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 8:29 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1387.9 + -1388. What is the nearest to -2\/7 in z, -2\/9, -2, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1404 (c) -1\/5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 476 and 46053?\nAnswer: 184212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 7*q**3 + q**3 + (-29 - 6*q**2 + 29)*(4 - q - 4 + 2*q - 5*q + 2*q + (0 + 3 - 2)*(-5*q + 3*q + 3*q) + 3*q - q + 0*q + 4*q - 4*q + q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13222 (base 4) to base 11.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1*(-22)\/11. Let i(s) = -2*s**2 + 3*s - 1. Determine i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(2000) - (sqrt(2000) + 1 + sqrt(2000))))**2 - (3 + -1*sqrt(2000) - sqrt(2000))**2)*5 + 2.\nAnswer: 3000*sqrt(5) + 50002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 1\/12 (c) -1\/4 (d) 0 (e) -33 (f) 314 (g) -2\/49\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-21) + 450\/(-70) + (1 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*g**2 - 2*g**2 + 4*g**2)*(-68*g**2 - 16*g**2 - 15*g**2) to x*g**3 + d + j*g + h*g**4 + t*g**2 and give h.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1411 = -10*i + 11641. List the prime factors of i.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10202 + 4?\nAnswer: -10154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12130\/201 - 181\/3. Which is smaller: z or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 8 - 8)*(u**2 + 0*u**2 - u**2 + 2*u**2).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -976.1452 to the nearest 10.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -383, 1048, -2?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.7. Let q be 7 - 56\/7 - (-35)\/21. What is the closest to u in 1, 9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 681*w**2. Let o(b) = 25*b - 70. Let x(r) = -16*r + 45. Let m(a) = -9*o(a) - 14*x(a). What is q(m(k))?\nAnswer: 681*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/4 - 839*j**2 + 125028*j - 3402000 = 0. Calculate j.\nAnswer: -3500, 36, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14280477 is divided by 2040068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6421.\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:00 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3, -x = 13*u - 14*u - 16. Solve 9*y = 12 + x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 - 8*k + 9. Let h(x) = 3*x**2 - 4*x + 4. Let b(y) = -5*h(y) + 2*u(y). Let r be b(2). Let s = r - -33. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 0.217 (b) -170 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/20 + u**4\/3 + 21*u**3\/2 - u**2 - 169*u + 2. Find the second derivative of c(q) wrt q.\nAnswer: 6*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 197511948 and 67118.\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5303 + -3103. Does 55 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -17*z**2 - 166*z - 4. Let w(l) = 2*l**3 - 3*l**2 + l - 1. Let g(i) = b(i) - 4*w(i). Find the second derivative of g(d) wrt d.\nAnswer: -48*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-40))\/(-6*(-4)\/(-32))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -46*p. Let f(z) = -18234*z. What is f(s(h))?\nAnswer: 838764*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 26. Suppose 4*l = 2*l + 3*k + 184, -2*l - 5*k + 216 = 0. Let x = l - z. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -20*l**2 - 4*l - 2. Let s(f) = 104*f**2 + 22*f + 11. What is -11*r(k) - 2*s(k)?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + -39. Let s(c) = -c**2 - 8*c - 9. Let a be ((-20)\/(-8))\/(1\/(-2)). Let v be s(a). What is the highest common divisor of v and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 + 162. Suppose -2*m - 19 + 39 = -4*h, -2*m - p*h = 7. Let v(x) = x - 4. Let g be v(6). Solve w + 8 = m*c, -g*c - 1 = -4*w + 3*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*u = 6, 3*s + 11 = 3475*u - 3470*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.10998047 to one decimal place.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:53 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8603*o + 28590 = 5692*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 1. Let q = 63 + -42. Let f = q - 19. Suppose 0 = -f*j - 7 + 1. Determine a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321022 is divided by 7133?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 9*k - 17. Let f be o(10). Let r = f + 83. Which is smaller: 55 or r?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from drrdrrrd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*((-60)\/(-400))\/((-3)\/(-45))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152 or -63458.82?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*s = -10, 0*h + 4*h = 5*s + 23. Suppose h*w = -4*p - 24, p = 6*w - 2*w + 3. Let u = -1 - -1. Sort p, -2, u.\nAnswer: p, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*m = 6, -4*o = o + 3*m - 4. Suppose 6*p - o*f - 51 = 3*p, 3*p = 5*f + 42. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22\/5 - 4. Which is the closest to -2\/7? (a) u (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 3*r + 4. Let x be i(3). Let d = 17 + -7. Calculate the remainder when (-2)\/(1\/x - 0) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -2\/15, -2, 387?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 900\/126*1 - 1\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2720\/(-30))\/(-34)*(-2)\/(-8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3 - 9 = -6*t + 15, 5*a - 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2*r + 0*r**2 + 49\/4*r**4 - 2\/3*r**3 - 18. What is the tens digit of q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11261 - -21920. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 193 in -1\/5, -3\/98, -4, -30?\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 55*s**4\/12 + 26*s**2 - 8*s - 1. What is the derivative of m(a) wrt a?\nAnswer: 110*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + f + 3, f + 3 = r. Suppose r = 4*u - 5*i - 4728, -i = -14*u + 13*u + 1181. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31376 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -297508.5521 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4 + 3. Let w(u) = u + 2 - u - n + u. Calculate w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -8\/7, -1\/19, -0.1, 23, 0.2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - 75 - -46 - (-39 - 0).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.668? (a) 0.4 (b) -0.01 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 42*h - 84 = 108. Let i(r) = -4*r + 1. Let d be i(2). Put -5, 3, h, d in descending order.\nAnswer: 3, h, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + 21 + (18 - -7) + -13?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 433*h**2. Let v(s) = s**2 + 10*s - 296. Calculate v(t(q)).\nAnswer: 187489*q**4 + 4330*q**2 - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3691, -948, 1795, 4538?\n\"Answer: 2743*h - 6434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22741794 and 1514.\nAnswer: 22741794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26890 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.5483*-23.65\nAnswer: 60.267295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -242*o + 33 + 731*o - 247*o - 246*o. Let i(z) = z. Determine i(v(x)).\nAnswer: -4*x + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) + (-8400045)\/(-60). Round r to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:07 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 25 = -l - 11, 3*l = y + 36. Suppose -1608 = -15*o + l*o. What are the prime factors of o?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132262360 is divided by 2721.\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/144 and 99\/178352.\nAnswer: 1605168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 3\/4, 1.1, 1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25776 is divided by 307?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let s(j) = -j + 2842040. Calculate v(s(p)).\nAnswer: -2*p + 5684080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 32*b - 1. Let d(s) be the third derivative of 95*s**4\/24 - s**3\/2 + 78*s**2. Let q(l) = -2*d(l) + 7*y(l). Let n(i) = -i**2. Give q(n(x)).\nAnswer: -34*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 1\/3*m**3 + 0*m + 0 + 75*m**2 - 1\/24*m**4. What is s(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2618537*s**3 - 17730377*s wrt s.\nAnswer: -15711222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258882140 - -258880791.000687. Let c = 1349 + s. Round c to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -84329*g. Let d(a) = 20*a. Give d(k(i)).\nAnswer: -1686580*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -12*q**2 - 1\/84*q**8 - 1\/2*q**4 + 0*q**7 - 4\/3*q**3 + 0*q + 2\/15*q**6 + 0 + 2\/15*q**5. What is j in f(j) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/156066 and -31\/370.\nAnswer: 780330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 50*b**2 + 47*b + 19. Let r be p(24). Let c be (-29)\/r - ((-100)\/5)\/(-4). Factor -8\/5*n - c*n**2 + 0 + n**4 + 6\/5*n**3 + 1\/5*n**5.\nAnswer: n*(n - 1)*(n + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 81837932?\nAnswer: 818379320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6*o + 2. Let s be x(-6). Let t = s - 0. Suppose t*n = 5*n + l - 10, -l - 22 = -5*n. Solve -5*w - 3*k = -34, 2*w + 5 = n*k + k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j*u**4*y + 12*j*u**2*y - 6*j*u - 2*j - 217*u**5*y - u**2*y wrt u?\nAnswer: 96*j*u*y - 13020*u**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-10)\/4 - 0). Let d(p) = -2*p - 5. Let h(f) = -42*f + 2. Let m be h(-1). Let x(g) = -2*g + m + 3*g - 41. What is z*d(j) - 8*x(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.092 * -98.5.\nAnswer: -9.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1106 by -1175.\nAnswer: -1106\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2451147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 times 0.174\nAnswer: -0.8004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**2 - 13*i + 1. Let l be -1*(-1 + -1) - -7. Calculate the remainder when o(l) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let n(w) = -35157*w + 2074274. Determine n(59).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7879*y**5 + 7880*y**5 - 1035*y**2 - 3*y**3 - 69*y**6 + 805*y**2 wrt y?\nAnswer: -8280*y**3 + 60*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531308091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22\/(-8)*-2)\/(2\/4). Suppose -7*k = -x*k + 380. Is 96 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*w + 6*w = 428, 4*w = 2*k - 244. Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*z = 8, j - 2*z + 1 - 7 = 0. Suppose 0 = j*h - 2 - 6, -5*h = -4*f + 12. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n + 8 - 288. Solve 2*u = -4*z + n, z + 5*u - 6 + 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a84e (base 16) to base 9.\nAnswer: -844347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 36*n**2 - 68*n + 12. Determine j(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25475769 and 321?\nAnswer: 2725907283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h + 5*h - 5*h**2 - 8*h + 22*h**2.\nAnswer: 17*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h - 15. Let a = 13 - h. Let u be 663997\/(-4) + (-3)\/a. What is u rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31\/55 - -4\/11. Let v = 1846\/27 + -616\/9. Sort v, 0, a in descending order.\nAnswer: 0, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 2341\nAnswer: -195\/2341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -4 + (-10 - -1) - -37 - 17\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*q - 31, -303 = -5327*h + 5355*h - q for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y. Let j be i(-4). Suppose -o + j = o. Let n(w) = -2*w**2 + 90*w + 4502. Let m be n(-30). Put m, o, -1 in increasing order.\nAnswer: -1, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 63 = -5. Let r = 13 + s. Let x(q) = 2*q**2 + 2*q - 1. Let p(m) = 3*m**2 + 2*m - 1. Give r*x(a) + 3*p(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -424 + 380.8. Round u to zero decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*a = 186*a - 5 - 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, 0.6, -3, -3\/5, -1035.4 in descending order.\nAnswer: 0.6, 3\/13, -3\/5, -3, -1035.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*v**2 - 129*v**2 - 123*v**2 + 409*v**2.\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2)\/((-56)\/(-112)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6787859?\nAnswer: 13, 179, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b (base 16) to base 14.\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156964978294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17*(-1 - (-576)\/408)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - 8*f + 60. Let g(c) = 6*c**2 + 9*c - 61. Let z(u) = -4*g(u) - 5*j(u). List the prime factors of z(-22).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -338 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/28*24\/(-27)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*w**3 + 100*w**2 + 51*w**3 - 24*w**3 - 4*w**3 to f*w**2 + g + h*w**3 + n*w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -161*x**4\/12 - 55*x**3 - 29*x - 4. What is the second derivative of f(d) wrt d?\nAnswer: -322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkz when three letters picked without replacement from ozfofofffokffwfw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23373 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -876 and 0.3.\nAnswer: -262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1168 divide 4200128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71472 + g**2 - 4*g**2 - 71474 - 71479 - 71467 + 285892.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 146 = 142. Let r be a\/(-9) - 3\/((-54)\/76). Let p be (-8)\/(-5) - (-4)\/10. What is the smallest value in r, p, 7, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*f - 11293775 - 111*f + 11293775.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877073 to the power of 1\/2, to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/30838 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/20 and (0 - 4) + 2980\/800.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3990270 is divided by 69.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c = 5*a - 3180, c - 3180 = -5*a. What is the tens digit of 3\/(-6) - a\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 245 - 4*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 1, b: 4, h: 2, z: 7}. Give prob of sequence bubh.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76034956 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.034 (b) -45 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -36.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 15*y**2 - 62*y - 951. What is s(-15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -102. Let 2*s**z + 3*s**3 - 7*s**3 - 6*s**4 + 4*s**4 = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.4526 + 5\nAnswer: 45.4526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + u**3 + (-1 + 4*u**2 + 1)*(14*u + 15*u - 12*u) in the form v*u**3 + p + i*u**2 + h*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 6:52 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808966 is divided by 634?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = q. Which is smaller: 94\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12. Let m(s) = s**2 - 7*s + 2. Let z be m(7). Find the third derivative of -3*i**2 + z*i**6 + i**6 - k*i**6 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*a = 32, -64 = -4*z + 6*a - a. Calculate the greatest common factor of z and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 748590936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + g - 7 = 0, 2*w + w + 2*g = -28. Let k = 4 - w. What is the remainder when 37 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4\/3 + 308*q**3\/3 + 1592*q**2\/3 - 308*q\/3 - 530 = 0.\nAnswer: -5, -1, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:03 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 < 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3168*l - 112748 - 78184 + 37232 = -518*l for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**32\/(i\/(i\/i**(-42)))*(i\/i**(-23))**(-12) assuming i is positive.\nAnswer: i**(-214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1896, 2271, 2898, 3777, 4908?\n\"Answer: 126*j**2 - 3*j + 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Let t(n) = -n**2 + 9*n - 9. Let s be t(7). Suppose 5 = -5*u, 4 = -s*k + 3*u - 3. Is l less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1415 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 267*d**2 - 4860*d - 29166. Let i(b) = b**3 + b**2 - 2. Let c(u) = 3*i(u) - z(u). Factor c(j).\nAnswer: 5*(j + 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48356831 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:02 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061421 is divided by 138?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -97 + 97 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-355 + 26 - 47)*(3*m**3 + 2*m**3 - 3*m**3).\nAnswer: -752*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a week in minutes?\nAnswer: 82320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/106 and 2 + -2 - 95\/(-6).\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 789143*l - 789144*l - 4*y + 1, -y = 5*l + 90 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 + 4690 - 4690 + 4*l.\nAnswer: 22*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 37762545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 - r - 2. Let b be c(3). Suppose b*m + 8 = 2*v, -4*v + 0 = 4*m + 8. Solve -5*f = -2*z - 19, -f + v*f = -5*z + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -6327103?\nAnswer: 6327078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4521 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 7*s**5\/5 + 4*s**2 + s - 42. What is the second derivative of t(q) wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/7 + 17\/28. Let a be (73 - 75)\/((-65)\/(-25) - 1). What is the fourth biggest value in a, h, 13, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w - 15*w - 4*n - 36, 4*w - 4*n - 72 = 0 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r. Let z = r + 4. What is the derivative of -5*k + z*k + 1 + 4*k - 2*k wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.9 + 15. Let z be (2\/(-6))\/((-8)\/(-9)). Suppose -4*x + 12 = -2*w, -4*x = 2*w - 5*x. What is the third smallest value in w, y, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -90. Sort 1, -2, q, -1 in increasing order.\nAnswer: q, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*l**2 + 2*f**2 + 21*f*l - 3988*l**3 - 43*l**2 + 151*l - 32 wrt l.\nAnswer: -2*f**2 - 23928*l - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 - (1 + -8 - (-75 - -61)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -685030 divided by -61.\nAnswer: 11230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + (-34 - -20) + 9 + (-5 - 2).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-4)\/18))\/(18*(-50042)\/(-1528))?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39134 is divided by 81.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - 252\/(-45). Sort 3, n, -4.\nAnswer: -4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 l when four letters picked without replacement from eeeeelldd.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-10) - (-2688399974)\/260. Round b to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 26*i**3\/3 + i + 3547. Let n(w) = -3*w + 1. Give n(o(x)).\nAnswer: -78*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/33 + -4\/11. Let z = 17\/2 - 121\/14. Sort -4, z, y in ascending order.\nAnswer: -4, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.51 + 1.59. Let n = -2 + v. Let s = 0.32 - 0.02. Which is the nearest to n? (a) s (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrarrrrrarrrra. Give prob of sequence arr.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.18 (b) 0.1 (c) 1.307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.1, 1\/2, -0.4, -27, 2\/7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/26988957 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77, -304, -683, -1214?\n\"Answer: -76*p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 23\/4, -90, 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-25))\/((-99)\/(-1650))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3372\/5058*3\/(-20)*-2. What is the fourth biggest value in -2\/3, 0, s, -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -4, 1, -3, 0, -2, 152 in descending order.\nAnswer: 152, 41, 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiy. What is prob of picking 2 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -17*k**8\/21 + k**7\/210 - 173*k**5\/60 + k**2 + 5*k. Find the third derivative of l(m) wrt m.\nAnswer: -16320*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -182898 - 2?\nAnswer: -18289a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14319619 divided by 29\nAnswer: 14319619\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/877180 and -11\/60.\nAnswer: 2631540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715734.\nAnswer: 2, 3, 17, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(38)\/sqrt(2))**2*-3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-212)\/(22048\/1560))\/(4\/12)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10029, -10030, -10031, -10032, -10033?\nAnswer: -10034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 4*d + 10. Let b be f(-10). Let h be (b\/(-4))\/5*4\/5. Let v(w) = -2*w**3 + w**2 + w - 2. What is v(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3129 - 1879. Round v to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1110?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-14)\/(-8) + -1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(40\/32))\/(12\/(-10)). What is the second smallest value in -4, g, -0.93?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -18. Let d be 8\/(-6)*v\/52. Let r = 1.99 - -0.01. Sort d, 3, r in decreasing order.\nAnswer: 3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**3 - 7*x**2 - 5*x - 1. Is g(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015812524 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 37\/2 (b) -3\/10 (c) 0.6 (d) -1\/4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -46. Let n be p\/(-7) + (-2)\/(-14). Calculate the remainder when 6*1\/n*-12 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/18 + (-13)\/(-18))*76. Suppose 3*o + 0*c - p = 4*c, 0 = -4*o + 3*c + 39. What is the units digit of 10\/30 + 214\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovyag. What is prob of sequence gya?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*h - 15 = j - j - 175*h + 348*h, 0 = 40*j - 5*h - 65 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -851 + -240. What is the thousands digit of 2 - -2 - (g + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1975\/181534 + 963\/653. Let f = k - -2\/139. Sort f, -4, -2\/13 in ascending order.\nAnswer: -4, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2 - 1119*d - 11691. What is h(-11)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 341, 3, 1\/253.\nAnswer: 1\/253, 3, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 922\nAnswer: -48866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800102 is divided by 114252?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5924279651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 3*h + h + 6*h - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 155*l + 1503. Determine i(-83).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6028943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0 (c) -16.591 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 3. Suppose 5*p - 21 = 2*w, 15 = -5*w - 0. Calculate a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + -155. Let t(c) = 3 + 1 - 3. Let w(a) = a**2 - 2*a - 5. Let x be (-8 + -1)\/(30\/20). What is h*w(r) + x*t(r)?\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 203*x - 10935. Give f(-41).\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/2 + 11257249*p - 126725655048001\/2 = 0.\nAnswer: 11257249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*n**2 + 61*n**2 - 482*n**2.\nAnswer: -468*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13549 + 61729. Suppose 5*s + v = n, 69142 = 3*n - 2*s - 75372. What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 32. Let i = p + 48.99988. Round i to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -876.339 - -881.3. Round q to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 703*q**2 - 103 - 99 + 2*q - 702*q**2 + (-2 + 2 - q)*(q - q + 2*q) to z + k*q**2 + p*q and give z.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2225*z**4 + 10*z**3 - 637*z**2 - 10*z - 40. Let g(s) = s**4 - 2*s**3 + 2*s + 7. Let a(w) = 5*g(w) + m(w). What is the third derivative of a(y) wrt y?\nAnswer: 53520*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 6 = -16*m. Suppose 0 = 5*k - 2*f - 6, 3*f = -k - m - 8. Solve -4*g = -x + 9, g + k + 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -76. What is the smallest common multiple of l and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -41\/5*z**5 - 2\/3*z**3 + 171\/2*z**2 - 2 + 0*z**4 + 0*z. What is the second derivative of m(c) wrt c?\nAnswer: -492*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174370 is divided by 1019.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - j - 19 = -3, -3*g + 2*j + 7 = 0. Suppose -g*h - 5*d + 180 = 0, 3*h + 2*d + 3*d - 100 = 0. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*n**4*y + 2*n**4 - 80*n**3*y + 3*n**3 + 1065*n**2*y - 4*n**2 wrt n.\nAnswer: -240*n*y + 48*n - 480*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 9. Let o = -8311 + 8316. Which is the nearest to -0.2? (a) z (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 9:13 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1394991, -2789776, -4184561, -5579346, -6974131, -8368916?\n\"Answer: -1394785*n - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*w**3 - 8259*g**3*w - 19*g**2*w + 31*w**3 wrt g?\nAnswer: 12*w**3 - 49554*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v + 9. Does 3 divide v*-1*(-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 234 - 222 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*l - 284 + 284)*((1 + 1 + 0)*(5 - 2 - 1) + 21 - 164 - 38) - l + 0*l + 3*l.\nAnswer: 4958*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/70 + 11*s**4\/84 - 13*s**3\/42 + 2*s**2\/7 + 5*s - 1. Find z such that q(z) = 0.\nAnswer: 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/33 and 17\/69?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)**(-44)*(n\/(((n**(-2)*n)\/n)\/n))\/((((n**(-2\/5)*n)\/n*n)\/n)\/n) assuming n is positive.\nAnswer: n**(247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7430, 29251, 65480, 116123, 181186, 260675, 354596, 462955?\n\"Answer: k**3 + 7198*k**2 + 220*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*p**3 + 331*p**3 + 338*p**3 - 2 + 2 - 1359*p**3 + 335*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.07, 137, -0.2 in decreasing order.\nAnswer: 137, 0.1, 0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6075651 to three decimal places.\nAnswer: -4.608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1312, -4 in descending order.\nAnswer: 1312, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85 + -367d?\nAnswer: -35e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12947 and 847?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-15) + -1 - (-3)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/6*(-24)\/(-15). What is the second derivative of n**k + n - n - 4*n wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/33? (a) 407 (b) 0.5 (c) -1\/9 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {g: 1, v: 2, l: 1, o: 5, w: 3, n: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 2*g - 17. Let v = -44 - g. Solve v*z + 27 = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-12)\/(-28)*-1). Suppose -s*b + 13 = -1. Find the second derivative of 8*h**5 - 3*h**5 - 11*h - b*h**5 + 2*h wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 102 - (-5 - (-7 + -2)). Suppose 164 = 4*d + 2*n, -2*d + 5*n = 10*n - q. What is the remainder when d is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2711 - -94?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:32 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198198172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**2\/11 - 1890168*h\/11 + 39696174\/11 = 0 for h.\nAnswer: -315049, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*-2)**2*4.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-50 + 78) - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d - 12559 = 91*d - 16967 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/8 + 430385*w**3\/8 - 860746*w**2 + 3442952*w.\nAnswer: -w*(w - 430369)*(w - 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19008 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + j**2 - 2*j + 1. Let p(f) = -f**3 + f**2 + 1. Suppose -209*w - 11 = -198*w. Determine w*a(s) + p(s).\nAnswer: -3*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -361*q. Let u(k) = 39*k**2 - 5077. Give u(z(b)).\nAnswer: 5082519*b**2 - 5077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 24 = 10*a. Suppose 0 = w - 4*g - 57, a*w - 197 = -g - 37. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*q - 587 wrt q?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110 - 111100001100100111111?\nAnswer: -111100001100011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - e?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752639?\nAnswer: 3, 7, 83459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22 - 9.78. Let r = -10.1 - a. Let c(v) = -v. Let o be c(3). What is the second smallest value in o, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/((l*l\/(l*l\/(l\/(l\/(l\/((l**(2\/17)*l)\/l*l))))))\/l*l))\/l))\/l**(-5)*(l**(-1))**(-37\/2) assuming l is positive.\nAnswer: l**(829\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*p + 2, s + 5*p + 3 = 2*p. Solve -5*y = -0*y + 5*c - 5, -10 = -s*y + 4*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let b be c(3). Let x be 16 - (7 - 42\/(-6)). Put 6, b, x, 0 in decreasing order.\nAnswer: 6, x, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 16) in base 10?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 118 (b) -2 (c) -2\/15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 7. Let p(w) = 7*w - 266. Let z be p(38). Put j, 2, 3, z in increasing order.\nAnswer: j, z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*s - 3*s = 3, m - 3*s = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 52652924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 9*b**2 + 7*b + 8. Let a be q(8). Let x be (1\/3)\/(2\/30). Suppose 2*l - x*p + 2 + 3 = a, -2*p + 2 = 4*l. Solve 15 = 5*n - l*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 0*i + (0 - 1 - 1)*(0*i + i - 2*i))*(0 + 2 - 1 + (6 + 0 + 2)*(5 - 16 - 5))*(0*i**2 - 4*i**2 + 2*i**2).\nAnswer: 254*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 456265 (base 7) to base 5\nAnswer: 10101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 29 = 101. Let k = 84 + b. Let o(l) = 3*l - 20. What is the smallest common multiple of o(k) and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6483 and 6405 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -1\/3, 375515 in descending order.\nAnswer: 375515, -1\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 7*d + 8. Let t be v(6). Suppose -3*l = 2*f - 8 + t, 2*l = f + 4. Solve -2*u + 4 = l*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/2 - 197*z**4\/6 - 13*z**3 + 394*z**2\/3 + 44*z = 0.\nAnswer: -2, -1\/3, 0, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -16, -31, -52, -79?\n\"Answer: -3*p**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -14 - 3*a + 46 + 3. Suppose 2*n - 125 = l, -3*n + 0*l + l = -190. Calculate the remainder when n is divided by c(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8110.5ns?\nAnswer: 8.1105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.3, -1\/2, 0, -2, -0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7 (b) -214 (c) -0.1 (d) -0.5 (e) 22 (f) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 118590295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232)\/16*(-3438)\/(-5539)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 176409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - (6 + -2))*(2 + -1). Suppose 0 = 4*o + c + 10, o + w*c + 2 + 6 = 0. Sort 1, o, 5, 12.\nAnswer: o, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/182)\/(102\/357).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 7:15 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n + 76. Let a be (-8)\/28 + 65\/7 + -3. What is the units digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8171 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46166, -43278, -40390?\n\"Answer: 2888*l - 49054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z + 14 = 0. Calculate the remainder when 39 is divided by 2\/(-4)*z*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/2))**(-25)\/(r**1\/r*r)**35)**(-1\/3))**(-1\/12) assuming r is positive.\nAnswer: r**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, h: 1, o: 3, m: 3, t: 8}. Give prob of picking 1 h and 2 o.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296979681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(-2*2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309630386.\nAnswer: 2, 13, 11908861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2709420 by -19353.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 8*b**2 - 17*b - 15. Calculate the remainder when 42 is divided by r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + c + 3 - 10*c)*(-c**2 + 0*c**2 - c**2 + (-4*c**2 + 4*c**2 + c**2)*(0 - 1 + 2) - 2*c**2 + c**2 - c**2 - 2*c**2 + 3*c**2 + c**2).\nAnswer: 9*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -181?\nAnswer: 4525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13324.11444 seconds to weeks.\nAnswer: 0.0220306125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 731.054 and 2.\nAnswer: 733.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 1:39 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319.353223 + 0.023223. Round q to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -554 - -561. Calculate the remainder when 22 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78618*c**4 - 3*c**2 - 2*c - 584 wrt c.\nAnswer: 1886832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3293*v - 29641. What is a(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + -9) - (-1 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (206\/13*-1 - 774\/5031) + 2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 775e + 6?\nAnswer: 7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 12. Let c be (-40)\/(-25) + y\/(-10). Factor 0 + 10*r - 1 + 8*r**c + 5 + 2*r**3.\nAnswer: 2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-1)*l)*(l**3\/l)\/l*(l*l\/(l\/l**0*l))**(-1\/11)*l\/(l*l**(-2\/11)*l)*l*l**(-2\/5)*(l\/(l\/(l**(1\/3)*l)*l*l))**(-1\/31) assuming l is positive.\nAnswer: l**(9224\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 1089685*u + 19614009. Give d(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 36166?\nAnswer: -36162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 295039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdvaaad. Give prob of picking 2 a and 1 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u. Find the common denominator of (-1 + 40)\/((-60)\/(-8)) and (u + -1)*(-81)\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 9 = -b. Suppose 3122*y - 3044*y - 1248 = 0. Calculate the remainder when b is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*g + 5*s, -3*g - 3*s + 7*s - 78 = 0. Let d = 2 - 3. Is (d - (-3)\/2)\/(g\/(-25020)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4011 + -4020.71. Sort -3, y, 0 in descending order.\nAnswer: 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 34*g**2 + g**2 + 27*g**2 - 137*g**2.\nAnswer: -149*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 36 = 2*k - 168 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-175))\/((-4)\/40)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f. Let y be a(1). Let d be -3 + -20 - y\/(-3). Let p = 22 + d. Are p and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-10)*17\/(-68). What is the third biggest value in p, -2\/3, 4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(4\/420)\/((-496)\/868)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 2*p - 13. Let y(c) = -1. Calculate v(o) - 5*y(o).\nAnswer: 3*o**2 + 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*n + 32 = 0, 0*n + 4*n + 80 = 5*z. Calculate the highest common factor of 128 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:14 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-900)\/207)\/50 + 1*39\/(-345)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) - -6*((sqrt(1053) + 0)**2 + sqrt(1053)).\nAnswer: 63*sqrt(13) + 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/25 + -91\/200. Let u = -1 + 0. Which is greater: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 19*w + 24*w = -15, 0 = -w - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 12*k + 8. Let n = -31 + 27. Let u(i) = 3*i**2 - 13*i - 8. Let m(l) = n*u(l) - 5*q(l). Determine w so that m(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 61. Suppose 4*s + 5*h + 0 = 60, -y*h = 2*s - 40. Calculate the smallest common multiple of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*(x\/x**(-1\/16))\/x))**(-4\/17))**(-1\/10))**(-10) assuming x is positive.\nAnswer: x**(-15\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -1\/76 (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*o + 2*c - 7, -5 = 2*o - 5*c. Solve o*a - 14 = -2*f, 0*f - 2*f = 3*a - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 11. Let j be r(6). Suppose s + 0*s - k - 1 = 0, j*k = 20. Suppose -4*z - 90 = -s*z. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + h + 2*h - 411 = -102*g, 0*h + h - 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.20123 to 1 dp.\nAnswer: 63.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51309831 rounded to 3 dps?\nAnswer: 0.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 1\/12 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1012\/3542)\/((-2)\/133)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 30 = 0. Let y be 1 - (-4)\/6*21. Suppose -8*g - 105 = -y*g. Calculate the highest common divisor of x and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732960653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -77098?\nAnswer: 77097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/5*(-7 - 4\/(-2)). Let l(r) = -r**2 + 12*r - 27. Let g be l(c). Let b be 2 - 320\/172 - g. Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**4\/24 + w**3\/6 - 5902*w**2. Let b(p) = -6*p + 9. Determine -2*b(n) - 14*r(n).\nAnswer: -2*n - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -578, -593, -618, -659, -722, -813?\n\"Answer: -a**3 + a**2 - 11*a - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5599 + -5577. Solve -6 = -4*l - m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15995*c**2 + 175970*c + 275.\nAnswer: 5*(c + 11)*(3199*c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 61*h - 2059. Give v(19).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4858585*d - 4858585*d - 24 = 4*r, 3*d = -4*r - 27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -271174.\nAnswer: -10\/135587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*s - 207 = 0, 222 = -0*p + 3*p - 3*s. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 481669191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/(m\/(m\/(m\/m**5))))\/(m**(-1\/2)\/(m*m\/(m\/(m*m**(2\/3)\/m))))*((m*m**(-1))\/m)\/m*m**(-6)*(m*(m*m*m**(-2\/3)*m*m)\/m*m)**(-12\/17) assuming m is positive.\nAnswer: m**(-1009\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by 3.\nAnswer: 284\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4545405015 + 1?\nAnswer: -4545405014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 17, f: 1}. What is prob of sequence sf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -58. Solve -3*x + 4 = -p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2047*-0.1.\nAnswer: -0.02047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/2*(-136)\/6. Suppose -i = -6*i + x. Let r = i + -11. Calculate the remainder when 43 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/138061403 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(10)\/(sqrt(4)\/sqrt(2)) + sqrt(5) + (sqrt(500) - ((sqrt(500) - sqrt(500)*-2) + sqrt(500)))**2).\nAnswer: 2*sqrt(5) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 1.552203 (c) -0.031\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.4759 rounded to one dp?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180406.2 micrometers to centimeters.\nAnswer: 18.04062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 - 227. Which is the closest to -2\/9? (a) 1\/17 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 375.\nAnswer: 57750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*m**2 + 44*m**2 + 78*m**2 + 183*m**2 as l + a*m**2 + w*m and give a.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-2) + 1\/(-1). What is the second derivative of -2*r + 3*r + 2*r + r**w wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -132. Is 12 a factor of (-62 - (-2 - -9))\/((-1)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:25 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9828 + -0.0172. Let l = 26 + -25. What is the nearest to l in -5\/2, c, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + -1.99. Let q = -2.1 - r. Let z = -2\/1151 - -1155\/2302. Which is the nearest to -1? (a) z (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, 0.2, 7\/3 in ascending order.\nAnswer: -2, -0.2, 0.2, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -1\/20*l**5 + 0*l - 9\/2*l**3 + 0 + 5*l**2 + 3\/4*l**4. Factor u(d).\nAnswer: -3*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24392.95 minutes to milliseconds.\nAnswer: 1463577000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*g + 93 - 70 = 0, -5*t = -3*g + 47 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200211112 (base 3) to base 7.\nAnswer: 310541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512 and 2296.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -349033282*y**2 - 1227176044 wrt y.\nAnswer: -698066564*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 373903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 - 6*y - 27. Suppose 653*w = 517*w - 816. Let x(q) = 5*q**2 + 7*q + 27. What is w*u(j) - 5*x(j)?\nAnswer: -j**2 + j + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322012110 (base 5) to base 15.\nAnswer: -1bd0a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 6.3. Suppose 4*m + 0 = -16. What is the smallest value in w, -2\/3, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s - 6. Let c(z) = 24*z + 4424. Calculate -c(x) - 5*v(x).\nAnswer: x - 4394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c = 422 + 842 + 1016 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-20))\/(-58 - (-3483)\/60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 73.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + (7 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:02 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -i - 23 + 3, 25 = i - 4*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -42 - (-1 - -32)) + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109008?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4424 and 44872?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.51 + 0.5. Let q be -4 + (4\/(-12))\/((-4)\/(-12)). Let h be 10\/225*-3*q. What is the nearest to 0 in h, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*z + 33*z + 2*y + 4, 0 = -3*z - 2*y - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 1 - 1 + (-1 + 1 - 1)*(-3*o + 3*o + 2*o) - 2*o + 3*o - 2*o - 5 + 11 + 2*o - 7.\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -921*z**3 - z**2 - 1 + 2*z**4 + 6 + 7*z - 2 + 460*z**3 + 463*z**3 as s*z**3 + d*z**2 + x*z**4 + t*z + a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 131*r**2 + 4256*r + 31164.\nAnswer: -(r - 159)*(r + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, 9, 49, 125, 249, 433?\n\"Answer: 2*o**3 + 2*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/75*-18*(-2)\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(637) + 4 + -1 + -5*(sqrt(637) - (2*sqrt(637) + 3 - sqrt(637))) + 5)**2.\nAnswer: 924*sqrt(13) + 3363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 107, 160, 213, 266?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 4:02 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321961241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2. Let a(i) = -3284512*i. Determine a(w(o)).\nAnswer: -6569024*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2939710 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2398.73 and -5.3.\nAnswer: 12713.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9 and (28\/(-40))\/(1\/(-18)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 86. Let c be t(10). Solve -3*p = -2*p - c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d6a (base 16) to base 11.\nAnswer: 108a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -243998 + -1a?\nAnswer: -243a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 10661190.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -0.2, -6\/67?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/7393 + 547147\/480545. Let m = 20\/13 - l. Solve 2\/5 - m*t**2 + 1\/5*t**3 - 1\/5*t = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-2 + sqrt(130))*6)\/(sqrt(10) + 3*sqrt(40)).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31004320 - -2102?\nAnswer: 31011422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*t + 10, t = 784199*j - 784200*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31026\/11 + 9338828\/3311. Let g be (-123)\/1419*(-114)\/196. Let f = g + q. Calculate the common denominator of -31\/6 and f.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/117 + 5308\/9. Let q = -586 + o. Solve n - 28 = 3*d + 2*d, -n + q*d + 23 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = 0, 0*k = k + 3*y - 5. Let z(b) = 267*b + 8545. Let a be z(-32). Solve a = -o + 2, -7 = k*m - 5*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/1200 + 7*u**5\/300 - 13*u**4\/48 + 5*u**3\/3 - 3*u**2 + 13*u. Factor z(r).\nAnswer: -(r - 5)**2*(r - 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 267, 707, 1443, 2469, 3779, 5367?\n\"Answer: -i**3 + 154*i**2 - 15*i + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-22 - 30) + 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18463, -18464, -18465, -18466, -18467?\n\"Answer: -f - 18462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 178262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 25. Suppose -2*m + z*m = 15. What is the first derivative of -v**4 - v**3 + 2*v**4 + v**m + 1 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r = 29*r + 3*d - 4, -2*r = 3*d + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llml when four letters picked without replacement from {m: 8, l: 9, j: 2}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63535139 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 5*m + 9. Let q(s) = 48 + 8*s - 5*s**2 + 20 - 82. What is 8*g(i) + 5*q(i)?\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-2))\/((-330)\/165)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 209.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/42 + 7*g**6\/24 - 11*g**5\/12 + 25*g**4\/24 + 129*g**2. Suppose a(s) = 0. Calculate s.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -1.1. Let r be 2\/((-168)\/(-10)) + 42\/(-336). Let w = r - 1171\/840. Which is the biggest value? (a) u (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164667094\/1647 + -99980. What is the common denominator of h and -23\/244?\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 3 - (4 + 3 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 10*k + 5. Let r(n) = 2*n**2 + 2*n - 6. Let o = 23 - 28. Let h be r(o). Suppose 2*q - 22 = -0*q - d, -3*q - 2*d + h = 0. Determine i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -44 + (-52 - -151)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -530, -533, -538, -545, -554, -565?\n\"Answer: -i**2 - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*d**2 - 17*d**2 - d**2)*(0*d**3 - 4*d**3 + 3*d**3) + 5*d**5 + 0*d**5 - 12*d**5 - d**5 - d**5 + 0*d**5 + (-d + 0 + 0)*(-d**4 - 5*d**2 + 5*d**2).\nAnswer: 32*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 + 2*h**2 + 2*h - 2. Determine b(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 88226*n + 4237152.\nAnswer: -(n - 48)*(n + 88274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + g + 1. Let n(s) = 4*s**3 + 113*s**2 - 3*s - 3. Determine -n(j) - 3*t(j).\nAnswer: -j**3 - 113*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d - 5 + 4*d**2 - 2*d**2 - 1. Suppose -2*b + b = 6. Let v(a) = 2*a**2 - 6*a - 5. Let g = 534 + -529. Give b*v(k) + g*h(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Suppose j*a - 87 - 3 = 0. Let s be (-20)\/3*(-12)\/8. What is the highest common factor of a and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958.2677 nanograms to grams.\nAnswer: 0.0000009582677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:21 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 2, r: 1}. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 + 4*r + 2. What is the remainder when v(5) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 3376 + 3299 = 3381 for s.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 3:06 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 200201200102 (base 3) in base 9?\nAnswer: 621612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**4)**(1\/11))**(-6\/5))**47)**(3\/10) assuming o is positive.\nAnswer: o**(-1692\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - h + (5*h + h - 4*h)*(6 - 2 - 3) - h - h + 12*h)*(2*h + 2*h - 2*h) + 1 + 2*h**2 - 1.\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 4*m - 5 + 11\/3*m**3 + 1\/2*m**2. Is f(-2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + 0*p**2 + 0*p**2)*(0*p + 3*p - 5*p) + 15*p**4 + 17*p - 17*p to the form q + t*p**2 + u*p**4 + c*p + w*p**3 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 - 8*a**2 + 3 + 3*a - 5*a**2. Suppose -114*q + 109*q - 2*f + 41 = 0, 5*q - 5*f + 15 = 0. Let w(y) = 5*y**2 - y - 2. Determine q*w(x) + 3*g(x).\nAnswer: -2*x**2 + 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/60 - 13*v**4\/24 - 5*v**3\/3 + 2*v**2. Let i be x(-12). Find p, given that -2\/5*p + 0 - 2\/5*p**3 - 4\/5*p**i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c - 2*a, -3*a = 2*c - 16 - 11. Let m(l) = l**2 - 7*l + 6. Let z be m(c). Suppose -3*j = -6 - z. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 16*h = 17*h + 7, 2*c + 34 = -4*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:22 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251 - -247. Let x = 14.5 + -20. Let w = -5.9 - x. What is the closest to -0.1 in k, w, -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 24.7, -0.16, 0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-8)*b))\/b**(-1\/5)*((b*b**0)\/b)**(2\/3))\/((b**(-2))**(-50)*(b*b**0)**39) assuming b is positive.\nAnswer: b**(-654\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:15 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*y - 40, -h = -3*y - 41 - 9. Let z(p) = -p**3 - 16*p**2 - 15*p - 2. Let a be z(y). Let x = -573\/275 - -18\/25. Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from xwwxwxwwwxw.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1277 - -1272)\/(22\/(-4)). Factor 0*c + 0 + 6\/11*c**2 + 2\/11*c**4 + 2\/11*c**5 - b*c**3.\nAnswer: 2*c**2*(c - 1)**2*(c + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/5253)\/((-4704)\/(-20188))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93769 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjhhjjwm. What is prob of sequence jhwj?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151*71.\nAnswer: 10721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/411 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.097985, -3, -2\/7 in increasing order.\nAnswer: -3, -2\/7, -0.097985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/1092 and -37\/96.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665810 and 1946?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((0 - -8) + -2). Let a be 1\/(-4) + 1347\/s. Suppose -5*v + a = 417. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldvi when four letters picked without replacement from lviyidi?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 6 = -w. Let y be 1900\/(-1520) - (-125)\/4. Suppose -y*t = -w*t - 20. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**5 - i**2 - 6*i**2 - 7*i**5 wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -54*y**2 - 297*y + 271. Determine g(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(3) - sqrt(6)\/sqrt(2))) + -4 + (sqrt(3) + 2 + sqrt(3)*-2)**2.\nAnswer: -9 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*3\/6)\/(49 - 1898\/39).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100171 and 1838.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:43 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 44*l = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 9473093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6149 and 975?\nAnswer: 461175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/42272 and 47\/88?\nAnswer: 464992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0569919 + 0.057. What is r rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t + 52. What is the remainder when 190\/15*(2 + 1) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**4*v + 1317*r**2*v - 28*r*v + 2*r - 2*v wrt r?\nAnswer: 36*r**2*v + 2634*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 4*b + 0*b. Let i(s) be the second derivative of -11*s**4\/12 + 172*s. Calculate a(i(x)).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41324752*t**3 - 144267553 wrt t.\nAnswer: 123974256*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*1\/(1\/4). Suppose 3*y - o = y. Let r = 0.2 - 0.1. Which is the third smallest value? (a) 4 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let d(w) = -2*w**2 - 13*w + 11. Let s(z) = d(z) + 6*l(z). Let v be s(-10). Which is greater: v or 2\/531?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 + (2 - 5) + (28 - 40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106366796.\nAnswer: 2, 241, 110339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370254 is divided by 1719?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 772614665 minus 510106?\nAnswer: 772104559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664690936.\nAnswer: 2, 7, 13, 913037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 2. Let s(q) = 1. Suppose -5*f + 17*z - 15*z = -26, -3 = z. Calculate f*s(p) + g(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110547\/74560 + 95\/64. Is g <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4610658?\nAnswer: 2, 3, 13, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 33 - 13 = 0. Let d(n) be the second derivative of -n**3\/6 + 3*n**2\/2 + 2*n. Let h be d(4). Which is the nearest to h? (a) -1\/2 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjgjjjjgjjj. Give prob of sequence gg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -10313411?\nAnswer: 10313410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**8\/4200 + l**7\/6300 - l**6\/450 - l**5\/300 + 101*l**4\/12 - 30*l. Let r(j) be the third derivative of h(j). Factor r(p).\nAnswer: 2*(p - 1)*(p + 1)*(4*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12520.93 rounded to the nearest ten?\nAnswer: 12520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uchccuhchcchhuhccccu. Give prob of picking 1 c and 2 h.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22047612)\/4988805 + 44\/10?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8917733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 1, z: 1, b: 1, v: 1}. Give prob of sequence gyv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 329914565 rounded to the nearest ten thousand?\nAnswer: 329910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:01 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.626621 centuries to decades.\nAnswer: 96.26621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkttktttttttttttt. Give prob of sequence ktk.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 482344939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.4, -5394, -0.2, 0.001?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 9}. What is prob of picking 3 o?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/104 and 83\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202.77 + -18.97. Let o = -167 + i. What is o rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 845048 and -391.226959.\nAnswer: 844656.773041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46150 is divided by 15381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a. Let y = -3799 + 3792. What is v(y)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-165 - -212 - (-4 + -21))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - 1aeb7a?\nAnswer: -1aebaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1273, -1361, -1467, -1591, -1733?\n\"Answer: -9*d**2 - 61*d - 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(1458)*-6 - sqrt(1458))\/(sqrt(99)\/sqrt(176) + (sqrt(9) + (sqrt(90)*1)\/sqrt(10) - sqrt(9))) + 1.\nAnswer: 5 + 396*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 26 - 21 - 16. What is p(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46739 divided by -443\nAnswer: 46739\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47367272.\nAnswer: 2, 5920909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 23*a - 1. Let v(f) = -f**2 + 9*f - 43. Let q be v(12). Let s = q - -80. Determine k(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 3*u - 6 + 4*u - 2*u + 2*u - u + (-1 + 4 - 1)*(-2*u - 4 + 4) to h + x*u and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207558801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 304571?\nAnswer: 2\/304571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 111.84387 months?\nAnswer: 0.093203225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.21102 millilitres in litres?\nAnswer: 0.02821102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.408 to the nearest integer.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 98*n + 1600. Calculate c(-37).\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 370 = -y, -7*y - 10 = -5*y. What is the remainder when 298 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/350 - 4\/14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*r = 128, -2*r - 113 = -3*k + 74. Find the third derivative of 98*b**2 + 253*b**3 + 76*b**2 - k*b**2 + 24*b**3 wrt b.\nAnswer: 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*r + 44*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -4*w + 3*o, 2*o = -5*w + 6*o + 249. Let l = -489\/10 + w. What is the common denominator of l and -63\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14671*g*w**2 - 4465*w**2 with respect to g.\nAnswer: 14671*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*l = 2261, -179 - 724 = -2*x - 3*l. What is the least common multiple of x and 7?\nAnswer: 3171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1328827 = 8*w - 1328459 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2897296 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 996*k**2 + 3*k - 1062*k**2.\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 13. Let u(d) = -10*d - 29. Let y(m) = 3*m + 10. Let s(j) = 4*u(j) + 13*y(j). Determine 3*l(k) - 2*s(k).\nAnswer: -k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 3:33 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -52. Let f(o) = 21. Let q(x) = -2*c(x) - 5*f(x). Let l(u) = 11*u - 2. Give -l(i) + 4*q(i).\nAnswer: -11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122 by 9.\nAnswer: 122\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 + 0.6. Let f = c + 0.4. Put f, 3\/4, -0.4 in decreasing order.\nAnswer: 3\/4, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135011 - 3?\nAnswer: -135014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 194*u - 2. Let p be r(4). Let x = 2137 + -2139. What is the tens digit of x*3\/(-10) + p\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 230, 234, 238, 242, 246, 250?\n\"Answer: 4*w + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/385, -5, 0.37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r**3 + 2*r**2 + 3*r + 2. Let a be f(3). Let s = -245 + a. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 6077049?\nAnswer: 115463931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*t + 120 = -17*t. Find the third derivative of 10*k**5 + 314 - 610 - 7*k**t - 9*k**2 + 300 wrt k.\nAnswer: 600*k**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 15. Determine o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 308*i**2 - 15*i*r*s + 10*r*s + 2*r + 38*s wrt i.\nAnswer: 616*i - 15*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n. Let u(o) = -2*o - 1. Let y be u(-2). Suppose y*k + 2*a = 90, 43 = 3*k - 2*a - 35. Let w(c) = -28 - 2*c + k. Determine x(w(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8814*a - 17615. Give r(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12375\/(-10))\/(-25))\/((-336)\/(-448))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 263612 (base 8) in base 6?\nAnswer: 1550042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3957*y**2 - 3957*y**2 + 7 + 8*y**3 to r*y**3 + i*y**2 + b + u*y and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196183*a**2*z**2 + a**2*z - 20*a**2 - 20*a*z + a - 10 wrt z.\nAnswer: 392366*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3422*k = -796*k + 54834 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j)**(-2\/61)\/((j**(-1\/4)*j)\/(j*j\/(j*j*j*j**(-6)*j*j)*j)) assuming j is positive.\nAnswer: j**(809\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1050)\/(-1620)*-6)\/(-5).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*l**3*o**2 - 10988*l**3*o + 72*l**3 - 108*l**2*o - 6*o**2 - 38352 wrt l.\nAnswer: -66*o**2 - 65928*o + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -0*x - 357. Let g = -47 - x. What is the second derivative of 6*q + 4*q**3 - g*q**3 - 8*q**4 + 10*q wrt q?\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 83*c**2 - 4 - 5 + 9. Let k(r) = -2*r. Calculate o(k(x)).\nAnswer: 332*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 4*c + d + 270, 5*d + 65 = -5*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hllj when four letters picked without replacement from ljlujhm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1477*-511\nAnswer: -754747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let p(t) = 136*t. Calculate q(p(y)).\nAnswer: -272*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-7\/2)*i*i)\/i*i**4*i**(2\/9)*i**(2\/9)*((i\/(i\/i**(1\/3)))**11)**(-2\/15) assuming i is positive.\nAnswer: i**(221\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 6*((sqrt(684) - sqrt(684)*2*4)**2 - sqrt(684)) + (-2*sqrt(684))**2*-4*-3.\nAnswer: -36*sqrt(19) + 233934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8080770 is divided by 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h + 6*h - 21*h = 176. Solve h = 2*m - 2*l, 0*l - 2*l = 2*m + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*g**3 - 6*g + 6*g - 66*g**3.\nAnswer: 250*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.35526 = 1260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (14 + -4 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*x - 1182*x + 197*x + 199*x + 197*x + 200*x + 199*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 383101619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 23 = -101. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 719776 and -0.2?\nAnswer: 719776.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/5, 1\/16, -188?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4680 in descending order.\nAnswer: 1, -5, -4680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n + 10. Let l be s(-6). Suppose l*d = 36*d - 142. List the prime factors of d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3024 and 9504?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and -381.\nAnswer: -381.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14)*8)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6) + -3 + (5 - 5) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2227.08 times 1?\nAnswer: -2227.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2641904, -5283793, -7925680, -10567565, -13209448, -15851329?\n\"Answer: w**2 - 2641892*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.7873425604 - -71.644874161. Let y = n + 0.1424687794. Let b = y + -37. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = 30 - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/3383?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + g + 30 = 0. Let c(j) = -4*j**3 + 5*j**2 + 3*j + 7. Let b(q) = -3*q**3 + 4*q**2 + 2*q + 6. Calculate g*b(f) + 4*c(f).\nAnswer: -f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 104b - -1?\nAnswer: 104c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**3*r**6 + 249*n**3*r**2 + 2739*n**2*r**3 - 10*r**2 wrt r?\nAnswer: -480*n**3*r**3 + 16434*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 180168*r + 16034941. What is z(-89)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9.8769 times 2\nAnswer: -19.7538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (1 - 2)*-1*9. Let y = 7 - 2. Solve p = f*p - y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323173 is divided by 4034.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b = 31*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(22 + 21 - 11)*(7 - 7 - r).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5\/37 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -196, 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*o = -7*o - 191*o. Solve o = -3*f - 2*l - 26, 29 = -5*f - 2*l - 13 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269 - -80701\/300. Let m(y) be the third derivative of -3*y**2 + 0*y + 0 + 1\/5*y**3 - v*y**5 - 1\/120*y**4. Factor m(k).\nAnswer: -(k - 2)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24031789 to the nearest integer?\nAnswer: 4902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262109192 to the nearest integer?\nAnswer: 16190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2210210012222 (base 3) to base 4\nAnswer: 11230023233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4047198.1 to the nearest 1000.\nAnswer: -4047000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r - 3*u - 1, 5*r + 3*u - 6 = 0. Solve r = -5*b - 8 - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 18*y + 3. Determine r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19266 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 43203942.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(13890\/(-354195)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-17) + 0 + 1. Suppose -4*w = -5*n + 1466, t*w - 278 = 13*n - 14*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2210 and 18?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-12 - (-10 - 3 - 10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*m + 16, 26*p - 28*p = 5*m - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k - 4. Let l be n(1). Suppose 5*h - l*b = 30, h = 3*h + 2*b + 6. Differentiate 6*p**h - 2 - 7*p**2 + 10*p**2 - 19 with respect to p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4*i - 7. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*(-12 - -12). Suppose -2*s - 1 + 5 = a. Let l(f) = -2*f. Let w(v) = -21*v + 1. Determine s*w(i) - 22*l(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (301 + 16*u - 301)*(-3 + 21 + 4)*(3*u**3 + 0*u**3 - u**3 + 2*u**3 - 3*u**3 + 2*u**3 + (5*u - 5*u - u**2)*(0*u + u - 2*u)).\nAnswer: 1408*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*s + 181856 = -114*s. Suppose 675 = -5*n - p + s, -4419 = -n - 4*p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -554 (c) 0.008 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 6:04 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 10. Let y be (36\/z)\/((-6)\/(-4)). Let t be 2\/(-1) + 24\/14. Which is the third smallest value? (a) y (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 399 and 1232036?\nAnswer: 25872756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11126, -22117, -33110, -44105, -55102?\nAnswer: -66101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5876 is divided by 420?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.3 - -23.4. What is the third biggest value in -4, -2, 4, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 35*b + 54. Let f(q) = -286*q - 450. Let h(m) = -3*f(m) - 25*n(m). Let o(j) be the first derivative of -8*j**3\/3 + 1. Determine o(h(v)).\nAnswer: -2312*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 - (13 + (-316)\/12). What is the fifth biggest value in 5, l, 2\/5, -3\/4, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (7 - (21 + -3 - 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5069, -5063, -5045, -5009, -4949, -4859, -4733?\n\"Answer: v**3 - v - 5069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)\/(sqrt(8)*1) - (sqrt(102)*2)\/sqrt(2))\/(sqrt(300) + sqrt(300) + -2*sqrt(300)*5 - sqrt(300) - sqrt(300)*-1*-1))**2.\nAnswer: 17\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*p = 175*p + 5*x + 15, 3*p + 3*x = -9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p + 32 = -23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-18)*(-2)\/(-88)*-12\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.5 + -33.3. Let s be ((-4)\/36)\/((-1)\/12). Which is the second biggest value? (a) r (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*a = -121*a + 457410. What is the smallest common multiple of a and 20?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -341 - 27*w**2 + 341. Let a(i) = -2*i. Calculate d(a(n)).\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, x: 13}. What is prob of sequence oxxo?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)\/(1\/(-21)). Suppose -d = -4*v - z - 4*z, v - 5 = -z. Solve -n = v*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2334 + -991. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 32, 97, -46635 in increasing order.\nAnswer: -46635, 2, 32, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 410720*s**2 - 4929216*s.\nAnswer: 4*s*(s - 12)*(s + 102692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.27.\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**2\/5 - 70284*b\/5 - 205826694\/5 = 0.\nAnswer: -5857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.03 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5))**2 + 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*y - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from hhnahanjntnn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = 0, a + 3*a + 5*t = 3010. Suppose 4*p = -40, -4*m = 7596*p - 7599*p - 150. What is the greatest common divisor of a and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-2)\/(1 - 1\/(-1)) - -31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(10\/11))**29\/((m**1)**(-47)*m**(3\/5)\/(m*m*m**(2\/21)*m)) assuming m is positive.\nAnswer: m**(87617\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 3, 1\/2, 3\/4, 11 in descending order.\nAnswer: 11, 3, 3\/4, 1\/2, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.56 - 1.06. Which is the second biggest value? (a) 0.2 (b) 10 (c) -3\/2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000867169 rounded to 7 dps?\nAnswer: -0.0000867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 7. Determine i(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110530, 110523, 110514, 110503?\nAnswer: 110490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 221, 0.3, -0.3, -84, -1\/9, -2, 224\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, 3\/8, -0.4, 3\/7 in decreasing order.\nAnswer: 3\/7, 3\/8, 0, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6768 and 6376518?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -12. Let v = 4 - g. Let t(p) = 11*p**3 + p**2 + p + 1. Give t(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 13*k + 6. Give u(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-92)\/(-16) - 4\/(-16). Suppose -a*k - 65 = -161. Solve -4*b - 5*l = k, l = -2*b - 0 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(0 + 0 + 2*k) - 741*k + 162*k - 605*k.\nAnswer: -1186*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l = 19*l + 156. Solve 0 = -n - l*g - 4, -n + 3*g = -0*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3090602, 6181289, 9271976?\n\"Answer: 3090687*b - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -11. Suppose 5*y = -2*y. Suppose y*p - 6 = -3*p. Put 0, p, n in increasing order.\nAnswer: n, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-10 - -4) + 15 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-15)\/12)\/(16\/(-64)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 8*x**3 - 12*x**2 - 1 - 5*x - 4 - 3*x + 3.\nAnswer: -2*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 13*y + 12. Determine o(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97466657 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/30 + (3\/5)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 + 6*v. Suppose -4*i + 35 - 11 = 0. Let d be y(i). What is the remainder when (d - -2)*(-57)\/(-6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**(1\/11)\/(d**(-1\/3)\/(d**(-3)\/d)) assuming d is positive.\nAnswer: d**(-481\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.5, 139\/4, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15997, 31984, 47983, 64000, 80041, 96112?\nAnswer: 112219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12010626 is divided by 2402125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**3 - 25*k**2 + 25*k + 30. Let i(l) = l**3 - l**2. Let y(v) = 15*i(v) - q(v). Factor y(r).\nAnswer: 5*(r - 2)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 1, t: 1}. Give prob of picking 2 n and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*u + 7*u - 86 - 544 = 0. Put -58, u, -1 in descending order.\nAnswer: u, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -118*c + 103. Let p(r) = -68*r + 51. Calculate 4*a(v) - 7*p(v).\nAnswer: 4*v + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1719 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 -2\/45? (a) 0 (b) -0.2 (c) 1.595 (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57355 + 85218. Calculate the highest common factor of 33 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 4*a)*(a**4 + 5 - 5) - 6*a**5 + 2*a**5 + a**5.\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8408\/312 + (-72)\/(-1404)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-3 + (16 - 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*i = -1250, -2*i - 935 = 3*y - i. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 13*s**2 + 2*s + 26. Determine m(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7167 is divided by 1791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94777691 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11293, -12679, -14989, -18223, -22381?\n\"Answer: -462*u**2 - 10831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 9) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 0.268 (c) 1\/2 (d) -2\/7 (e) -1\/97 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*o - 91 - 386 - 560 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 697 - 2040. Suppose p = s - 341. Round s to the nearest ten.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228\/16477 + 4102225611\/263632. Let i = 15566 - l. Calculate the common denominator of i and -13\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 6*d - 2 + 6 + 2*d - 6*d. Suppose -f = 4*q - 0*f - 10, -11 = -q + 4*f. What are the prime factors of a(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -24412?\nAnswer: -1\/6103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899494?\nAnswer: 2, 79, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y*y**(-10)*y))\/y)\/y**(-3)*y**(5\/3)*y*y**(-13) assuming y is positive.\nAnswer: y**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**2 - 5*r - 5. Let a(g) = -5*g**2 - 4*g - 4. Let z(s) = s**3 - 10*s**2 + 4. Let y be z(10). Suppose -5*p + y = 24. Give p*k(l) + 5*a(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2. Let q(f) = 5. Let n(y) = -8*b(y) + 3*q(y). Let h(z) = -128*z. Let p(k) = h(k) + n(k). Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.01185 rounded to two dps?\nAnswer: -9.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p - 685. Let j be v(45). Calculate the highest common divisor of 340 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 8*h**3\/3 - 9*h**2\/2 - 13*h + 41. List the prime factors of a(-6).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - 0.29. Let x = z - 0.1. Let y be 1 + -3*(-4)\/(-6). What is the second smallest value in y, x, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaavavaa. Give prob of picking 3 a.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 45, 57, 67, 75, 81, 85?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1815 + -876. Suppose 4*k + 0*k - 1851 = c, -5*c = -2*k + n. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 78135663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 58\/3. Let s be 258\/459 + 100\/(-225). What is the nearest to -0.9 in s, t, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -60\/349769 and 38\/157?\nAnswer: 54913733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**4)\/z**(-14\/9))**20)**(-45\/2) assuming z is positive.\nAnswer: z**650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + -3 + -4691)*-1. What is the tens digit of (-4)\/(-6)*m\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1227520278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - y**3 - 2 - 3*y + 2*y - 6*y**2. Suppose 0 = 5*z - 0*z + 25. Is t(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen halves of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 4, -4*z + p = -72. Suppose 3*s - z = w, 3*s - 4*w - 27 = -w. Suppose -s*m + 8 = -7. Solve 4*t + m = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.6 - 8.7. What is the nearest to y in 1, -2, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86561335 by 7.\nAnswer: -12365905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:54 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 6:56 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3677111491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 3 - y**2 - 18.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1 (c) -2097 (d) -2 (e) -2\/19 (f) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -31*m**2 - 36*m + 6. Let h(c) = 3*c**2 - 1. Calculate 6*h(s) + l(s).\nAnswer: -13*s**2 - 36*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 2\/9 (c) 9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -28. Let q be 3 - ((-1)\/f - 1). Suppose 124 = -q*p + 7*p. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4863.2229 + -4863. Let f = 0.22 - w. What is f rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + 24. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-3) - (-5 + 4 + -1085)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -37 - 63. Let d = c + -11. Differentiate -8 + 0*g + 0*g + d*g**3 - 10 with respect to g.\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 68 (b) 1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 - 1096*d**2\/5 - 7598*d\/5 - 12984\/5.\nAnswer: -2*(d + 3)*(d + 4)*(d + 541)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -218079*g**3 + 2*g**2 + 218098*g**3 - 72*g + 10*g + (4*g - 6*g + 4*g)*(2*g**2 + 0 + 0).\nAnswer: 23*g**3 + 2*g**2 - 62*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2 + 6. Solve 6 = i + c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 9:33 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 4) in base 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416262 is divided by 304?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365103 by 3231.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -101305157 take away -315?\nAnswer: -101304842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2369, -4737, -7109, -9485?\nAnswer: -11865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*b + 56. Let r be 348\/8*76\/114. Suppose -457 = -18*d + r. What is the lowest common multiple of b and d?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(c**2 - 2*c**2 + 0*c**2) + c - 1 + 1 - c**2.\nAnswer: -4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.1. Let v = -25 - -28.8. Let y = v + 0.2. What is the closest to f in y, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhpprhhrprhvhprh. What is prob of picking 2 p and 1 r?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and 81\/2254?\nAnswer: 6762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - -52. Suppose -5*s + l - 36 = -x, -4*s + 69 = x. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*h**2 + 3*h**3 - 4*h**3 - h**3 - 6*h**3 + 6*h**3 as b*h**3 + l*h + r + j*h**2 and give j.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*d = -318*d + 1605 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 997\/79?\nAnswer: 997\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -25*b + 21*b. Solve -3*y = -2*g + b - 6, -5*g + 19 = -2*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 51, 22, -3, -18, -17, 6?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Let a(n) = 4*n**2 - 27676636. What is c(a(f))?\nAnswer: -4*f**2 + 27676636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let u be v(-5). Suppose -s + u*p = 4*s - 5, 25 = s + 4*p. Solve 0 = 2*q - s + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37c05a + b?\nAnswer: -37c04e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1 - 4 - m + 2. Let w(c) = 1228*c - 22. Let q(i) = 88*n(i) - 4*w(i). Let z be q(-2). Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 10 - (14 + (-20 - -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7))**(-1\/71)*b**(5\/4)\/(b\/(b*b**(-1\/3)))*b**(-1\/4)*b**(-2\/3)*b*(b\/(b\/(b\/(b\/(b\/(b*b*b**(-1)))*b*b)*b*b)))**(10\/7) assuming b is positive.\nAnswer: b**(499\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 157604247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4989801.\nAnswer: -1\/1663267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Let o(k) = -1 + 4*k**3 + 5*k**3 - k**3 - i*k**3. What is o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*(3202 + -14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23 + 82 + 52*t**2 + 3*t**2 wrt t.\nAnswer: 110*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4, -5*u - 159 = 4*f - 507. Suppose -3*o = -15, 2*i - f - 64 = -4*o. What is the remainder when 122 is divided by i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*a = 0, 2*a - 21 = 4*k + 3*a. Let c(f) = -f**3 - 9*f**2 - 2*f - 11. Calculate the lowest common multiple of (-30)\/k*(-4)\/(-3) and c(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-12))**(3\/7))**(1\/28) assuming r is positive.\nAnswer: r**(-9\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 910 - 328 = a, -2064 = -5*x + a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.617 + -3.617. Let v = -77 + 78. Let u be (36\/(-5))\/3 - -2. Which is the third biggest value? (a) v (b) 3 (c) u (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8525*l + 18 = 3*q + 8521*l, -2*l = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 192 + -47. Let g = 145.32585467851 - 0.32585370851. Let z = p - g. Round z to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, v: 1, h: 1, s: 2, t: 2, w: 1}. Give prob of sequence ttvh.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.5 - -10.2. Let m = -450.6 - -456.2. Let h = m + s. Which is the nearest to -0.2? (a) 1\/2 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*q**6 + 57*q**4 - 10*q**2 + q + 908 wrt q?\nAnswer: -4200*q**3 + 1368*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(525))\/(-3*sqrt(567) + sqrt(567)).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*(sqrt(3025) - (sqrt(3025)*-2 - sqrt(3025)))*4)\/(6*sqrt(20)\/(sqrt(64)*-1 + sqrt(4))))**2.\nAnswer: -1760*sqrt(5) + 154905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1025 - 50) + 18\/2?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/18*1\/15*(-270)\/30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 3.9733677954.\nAnswer: 4.4733677954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21124 + -0.21124. Which is the closest to -1\/4? (a) -23.6 (b) -2 (c) -4\/3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 7. Let i be d(-3). Let o be 2304\/(-15) + (-1)\/i. Let w = -733\/5 - o. Find the common denominator of w and -41\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 77 - 32 = 0. Sort v, -2, 5, -16 in decreasing order.\nAnswer: 5, -2, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23819491171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13089 by -9.\nAnswer: 4363\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 24.7. Let l = 20.499 - -1.501. What is the nearest to o in l, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-110))\/(((-48)\/8)\/(-30))*1.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22909990.\nAnswer: 2, 5, 2290999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 51*m + 0*m**2 - 1\/6*m**4 + 0*m**3 + 1. Let u(p) = p**2 + 34. Give z(u(i)).\nAnswer: -2*i**4 - 136*i**2 - 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33916*b + 33949*b - 67886*b.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84235 and 18955.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m**5 - 12*m**5 + 25*m**5 + (-5*m**3 - 5*m**3 + 4*m**3)*(1 + m**2 - 1).\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1083047\nAnswer: -216609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6234\/9351)\/(5*((-2)\/108)\/(-1))\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 2192.81\nAnswer: 87.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 14 = -2*q + o, 0 = -2*o - 10. Solve -3*m + q = 2*s, -2*s = -4*m + s + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 2254?\nAnswer: 2254.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/10638651?\nAnswer: 2\/10638651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7628.6107 - -1.3893. Let o = n - 7666.31. Let t = o - -36. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (8 + 4)) + (7 - -1) - 14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322802, 645580, 968312, 1290986, 1613590?\nAnswer: 1936112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/20*3)\/(-2 + 27\/15). Let b(a) be the second derivative of 0*a**2 + 31*a + 1\/4*a**4 + 0 + 0*a**w. Let z(o) = 18*o. Give z(b(j)).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/16 and 1 + (-417)\/(-60) - 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 112\/(-24))*(-50778)\/(-24)?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 + s**2 - 3. Let i(l) = -l**3 - l**2 + l + 1. Let a(t) = 4*i(t) + 2*p(t). Let w be a(1). Solve 0 = q + w - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/((((l*l**(2\/17)*l)\/l)\/l)\/l))\/l*l)*l)\/((l\/(((l*l*l\/(l\/l**(-7))*l)\/l)\/l))\/l))\/((l*l**(-10)*l)\/(l\/(l*l**(1\/10)))) assuming l is positive.\nAnswer: l**(343\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/((-5)\/45). Let m be (y - 2)*(24\/(-5) - -4). What is the greatest common divisor of m and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 87*v**3 + v**2 + 45*v**3 + 44*v**3 as q*v**2 + i*v + z*v**3 + c and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7) + sqrt(7)*-3)*-5 + -1 - (-4 + sqrt(42)\/(1*sqrt(384))).\nAnswer: -12 + 79*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*z + 272 - 3259 = 217 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x**2. Let l(o) = 11 - 2*o - 11. Calculate l(r(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.052 - 28. Let y = g - 0.052. What is the closest to y in -19, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 243*n - 2. Let s(x) = -245*x + 1. Determine 4*j(y) + 5*s(y).\nAnswer: -253*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85723188163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.70734 millennia in years?\nAnswer: 7707.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y + 2*g - 41, -2*g + 7 = y. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from ccfcf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 16) + 12 - -20 - 19?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 54*q**3 - 4 + 18)*(-5*q**2 + q**2 + q**2).\nAnswer: -162*q**5 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*k**3 + 355*k**2 + 250*k - 15 = 0 for k.\nAnswer: -3, -1, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -35. What is the lowest common multiple of 16 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:20 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 75150*k. Let p(l) = -l**2 + 254. Give c(p(z)).\nAnswer: -75150*z**2 + 19088100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91296 and 30432.\nAnswer: 91296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**9\/i**(-2\/21))**(13\/4))**17)**(-11) assuming i is positive.\nAnswer: i**(-464321\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 15, -5*n = 4*s - 163. Let y = -16 + s. Calculate the greatest common divisor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 6574 - 2378. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/10 - 36\/45. Solve -5*c + 20 - 10 = a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4799*s**2 + 6*s - 7. Let n be o(1). Suppose -8*m + n = 5*x - 5*m, -2*m + 1920 = 2*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 6*r - 73. Let k be (15\/54 - (-6)\/r)*18. What is the derivative of -14*l**3 - k*l**3 + 0*l**3 - 12 wrt l?\nAnswer: -69*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/336)\/(7\/(-45332)) + 3\/(-4). Do 410 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**2*y)\/y*y*y\/y**(-3)*y*y**(-1\/3)*y**(-4))**(-13\/4) assuming y is positive.\nAnswer: y**(-221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-1 - 3\/(-4)). Let o be 9 + (-133)\/14 + (-3)\/(-30). Which is the nearest to -1? (a) o (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + j + 3. Let z be p(0). Suppose z = 3*x - 3. What is the second derivative of w - w**4 + x*w**4 + w wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**2*v**2 - 218076533*s**2 + 257576*s*v**2 - 78*s*v wrt v.\nAnswer: -6*s**2*v + 515152*s*v - 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b + 23. Give z(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 = 757\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345846, 691708, 1037570?\nAnswer: 1383432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*h + 12*h + 690 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 57*g - 2. Let l(q) = -8*q**3 - q**2 - 229*q - 9. Let n(i) = -9*a(i) + 2*l(i). What is the second derivative of n(c) wrt c?\nAnswer: 12*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.166 + -14.5. Round w to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 - (-46)\/40. Let t = -13\/12 - -3\/4. Which is the nearest to 0.1? (a) -4 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26228383.\nAnswer: 29, 197, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, 0, 3, 5, 2.\nAnswer: 0, 2, 3, 5, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -83300*o**3 - o + 41597*o**3 + 2 + 41425*o**3 - o**2 as a*o**3 + b*o + t*o**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 14. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59 * -91.\nAnswer: 53.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6636c + 2?\nAnswer: 6636e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 1764*x - 55407. Give d(-32).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4112, 3873, 3638, 3407, 3180?\n\"Answer: 2*s**2 - 245*s + 4355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16030941?\nAnswer: 3, 5343647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 - 5*y + 8. Determine g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umu when three letters picked without replacement from {m: 1, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-16)*(w*w\/w**11*w)\/w)\/(w**(-4\/9)*w**(-13\/3)) assuming w is positive.\nAnswer: w**(-173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9096256*k**5 + 3743073152*k**4\/3 + 6968148292*k**3\/3 - 418380982*k**2 - 1673834*k\/3 - 556\/3 = 0.\nAnswer: -2, -1\/1508, 1\/6, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5))**(6\/11) assuming z is positive.\nAnswer: z**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41598 + 41261.77. Let i = 336 + n. What is i rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -23. Let s be 1 + (-1 - (i - 3)). Let o be 4\/3 + 2\/(-6) + s. Solve 0*r - 15 = -o*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + t**2 + 18*t - 36. Determine w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a7448 (base 13) in base 3?\nAnswer: 1021012012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 35. Let n be m(-9). Which is the nearest to n? (a) 0 (b) -3\/8 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10962 and 2292.\nAnswer: 4187484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -14\/167077, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127594 is divided by 609.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11765 + 117651\/10. What is the third biggest value in -14, -2, -1\/4, 0.6, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + v - 2. Let h be j(2). Suppose -h*w - 13*w**4 + 0 + 2*w**2 - 22*w**3 + 45*w**4 + 70*w**3 + 2 = 0. Calculate w.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*r + 3 = -1, -4*w + 5*r = -60. Let y be 33\/5 - 12\/w. Suppose 4*f - y = -2. Solve 0 = 3*i - 2 - f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*(-16)\/32?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 6*s + 1. Let r be x(6). Solve 0 = f - 2*f + r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/18 + -7\/18. Let s = -19 + 23. Which is the nearest to h? (a) -2\/17 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4\/5*a**4 - 24\/5*a - 32\/5*a**3 + 0 - 52\/5*a**2 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 965 - 959 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*z + 19 - 0, -12 = -4*z. Suppose 7 = -v*i + 6*i. Let s(r) = r**3 - 7*r**2 + 5. Calculate the remainder when s(i) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611567.1 centuries to years.\nAnswer: 61156710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -77447949 and -50.\nAnswer: -77447999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -3, -873, 1, -1 in decreasing order.\nAnswer: 1, -1, -3, -68, -873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 7 - (4 - (6 + -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 17 + 58 - 16 - 25.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1570 divided by 6.\nAnswer: -785\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-97 - 5117)\/(3\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16200)\/27)\/(-60))\/(20\/48)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005963 to seven dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -105759 and 0.1.\nAnswer: -105758.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 3\/74 (c) -4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 2\/3, 2\/5, 3, 2\/15, 0.139?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237186 by 4.\nAnswer: 118593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 4 = 0. Solve 0 = -n - 2 - k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -50?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44358.\nAnswer: 2, 3, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-12))\/((-12)\/54). Let d = -16.9853 + -0.0147. Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/(-48) + 14\/4. Factor -8 - 2 - 199*d - j*d**2 + 211*d.\nAnswer: -2*(d - 5)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let r(s) = 46. Let w(f) = -f + 139. Let n(p) = 7*r(p) - 2*w(p). Calculate a(n(y)).\nAnswer: -4*y**2 - 176*y - 1936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1096*m + 75076.\nAnswer: 4*(m - 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/603 in 4, 62, -0.2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4817.1 + 4816. Which is the third smallest value? (a) 3 (b) -5 (c) 2 (d) -0.4 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:11 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ayaaayaaaaaa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d + 0*d + (4*d - 2*d + 0*d)*(-1 + 3 - 3) + (2 - 6 + 2)*(5*d + 1 - d - d).\nAnswer: -7*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -22857.45613 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bca38 + cb?\nAnswer: -bc94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1*(-1)\/3). Suppose -369 = p - 4*c + 72, -1355 = k*p + 4*c. What is p rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -1. Let k be (1 + (-8)\/4)*s. Factor 0*j - 1\/4*j**5 + 1\/4*j**k + 0*j**2 + 0*j**4 + 0.\nAnswer: -j**3*(j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8821846 or -8821866?\nAnswer: -8821846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 0*v**3 - 13 + 2*v**3 - 18*v + 13*v**2 + v**3 - 2*v**3. Is c(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 43 = 27 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1559 or -1560?\nAnswer: -1559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.3. Suppose -17*l + 17803 = 2*l. Let w = l - 932. Which is the closest to n? (a) w (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 11, 21, 31, 41?\n\"Answer: 10*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 18*w**2 - 6*w - 10. Let m be n(-2). Suppose -m*p = -68*p - 42. What is the greatest common divisor of p and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let y = o - -2. Suppose y*j + 4*a = 2, 0 = 6*j - j + 2*a - 21. Solve 4*r - 4 + 1 = -q, 4*q - r + j = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 1, 0.15, 0.292, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 332 - -4?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/((-3 - 3)\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -34. Let c = a - 47.3. Round c to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 99*m - 35338. Determine c(357).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -24*i - 4 + 0*i**2 - 39 + 8*i + i**2. Calculate the remainder when 95 is divided by z(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*d - 3*d. Suppose 5*u = -5*a + 140, -2*a + d*u + 12 + 19 = 0. What is the greatest common factor of 184 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 6 - 2 = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 26*a - 104*a**3 + 26*a.\nAnswer: -98*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2950*-2\nAnswer: -5900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/41)*m**(-6)\/m)\/(m*m\/m**10*m*m*m**(8\/7)) assuming m is positive.\nAnswer: m**(-629\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114291 and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-25))\/((-105)\/1225)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u**2 + 0)*(-u + u**3 + 0*u + 4 - 5).\nAnswer: u**5 - u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_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 t be (-2 + 3)\/(2\/(-4)). Let h(y) = y. Let r be h(t). Let v(f) = -7*f - 5. Let j be v(r). Solve -4*i + j = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - c - c)*(-2*c**3 + 0*c**3 - 8*c**3 + (5*c - 17*c - 3*c)*(1 - 1 + 2*c**2)).\nAnswer: -160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1595 at most -1595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 24 = -4*t + 2*t, 4 = k - 4*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1050)*1 - sqrt(42) - (sqrt(42) + (sqrt(378) - -4*sqrt(378))))\/(3*-2*(sqrt(486) + sqrt(486)*2 + sqrt(6))).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2747*c - 30 - 2813*c + 30.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*i + 1642, -v - i = 92 + 318. Let o = 422 + v. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/4 + 2*f**3\/3 - 7*f - 46. Let i(d) = -9*d**2. Determine i(q(j)).\nAnswer: -81*j**4 + 216*j**3 - 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 - ((-6 - (-1 - (12 - 21))) + -18).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/sqrt(396))\/(-3*sqrt(48)))**2.\nAnswer: 1\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -3 (b) -0.19 (c) -5.27 (d) 0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 44?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302305170?\nAnswer: 2, 3, 5, 37, 272347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 0.1595665.\nAnswer: -1.8404335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**3 - x**2 + 3*x + 1. Let m(q) = q**2 - 1. Give d(i) + m(i).\nAnswer: 7*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y**2 - 21*y**2 - 42*y**2 - 28*y**2 - 11*y**2. Let n(v) = 3*v**2. What is n(t(d))?\nAnswer: 23763*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047502051 to the nearest integer?\nAnswer: 32365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 207*q**2 - 2*q - 185*q**2 - q - q - 4. Let i be y(-1). Solve z + 5*l = -20, -2*z - 6 = -4*l - i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (-2 - (-3 - 7) - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from shpbebhu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*h + 66*h + 1 + 3*h**3 - 85*h - 192*h + 13*h - 32*h**2 wrt h.\nAnswer: 18*h - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-27 + 52)\/(1\/2) and 145?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 301009393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 14632 = -9*q + 3*a, 11711 = 4*q + 3*a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 plus 0.09214?\nAnswer: 104.09214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 137*w**2 - 10*w + 22. What is the units digit of t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28200000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*u**4*w**3 - 71*u**4*w**2 - 39*u*w**3 - 50*u*w wrt u.\nAnswer: 216*u**2*w**3 - 852*u**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -116*c + 4 + 96*c - 17. Let r be k(-1). Solve r = -g - w, 5*g - w = 2*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 168. Let p = 7 + o. Let v(d) = d**3 - 4*d**2 - 3*d - 3. Let s be v(5). What is the highest common factor of p and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.769171 micrograms to milligrams.\nAnswer: 0.008769171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**36*(a**(-2\/3)*a)**(1\/2))\/((a*a*a*a**(-2\/3))\/a**(-4)*(a*(a**6\/a)\/a*a)\/(a*a*a**(-2))) assuming a is positive.\nAnswer: a**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + sqrt(20)*-1)*-4 - sqrt(20)) + sqrt(20) + (sqrt(240) - sqrt(240)*1)\/sqrt(12) + sqrt(20))\/((-1*sqrt(8)*2)\/(sqrt(8)*1)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128398 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (60\/(-110) - 10\/22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37367 divided by -11.\nAnswer: 3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9475 by 1895.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4\/3 + 4878*q**3 - 14631*q**2 - 4*q\/3 + 19508 = 0.\nAnswer: -1, 2, 14631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xpxixaxxxipxiaxxa.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36423029 * 0.1.\nAnswer: -3642302.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70717752?\nAnswer: 2, 3, 7, 46771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2.672\nAnswer: 2.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 106*w - 98*w + 192*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**9*o)))**(-2\/23)*(o**(-7\/6)*o*o)**(-2\/7) assuming o is positive.\nAnswer: o**(-535\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:17 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 3*t**2 - 7 + 7*t - 2*t**2. Let w be r(6). Let f = 3 - 3. Which is greater: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 2*b - 4. Let j be x(2). Suppose 0 = 3*n - d - 10, 0 = -6*n + 5*n - 5*d - 18. Let h be n\/2 - j\/(-6). Put -4, 3\/5, h in decreasing order.\nAnswer: 3\/5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 135 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-2618))\/(3\/(-18))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10*101974\nAnswer: 1019740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (1*sqrt(189))\/sqrt(3))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130378783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5 - j**4 + 3667130*j**3 - 44587230*j?\nAnswer: 20*j**3 - 12*j**2 + 22002780*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*25\/1125*6\/(-4))\/((-1462)\/(-215))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*n + 632 = 1033*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 102.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 23992?\nAnswer: 455848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4)*(6 + 0 - 3)*(3 - 1 - 12)*(-2*d + 4*d - d)*(0 + 2 - 5) to k + t*d and give t.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/295 and 25\/1534?\nAnswer: 7670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + 7*y**2 + 2*y**2 - 4*y**2 - 6049*y**3.\nAnswer: -6049*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 = -4*p + 2*y, 493 = 2*p + 2*y - 1. Let d be p\/7 + (-10)\/(-35). Let w = d - 19. Solve 4*g = -3*k - g - w, -4*g - 17 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*q - 59 = -113*q + 95 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 14 + 0)*(1 - 2*a - 1)*(7 + 19 + 20) as c*a + w and give c.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2751232326?\nAnswer: 2, 3, 47, 461, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 11. Let k(j) = -j**3 - 15*j**2 + 42*j + 27. Let x be -12*((-65)\/(-10) - 6) + -12. What is the remainder when k(x) is divided by c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.4. Let t = -149\/396 + 7\/36. Which is the nearest to k? (a) 0.2 (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -15790, -1 in ascending order.\nAnswer: -15790, -1, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 1. Let v(a) be the second derivative of -a**5\/20 - a**4\/4 + a**3\/6 - 3*a**2\/2 + a. Let z = 60524 - 60523. What is z*v(n) + 3*j(n)?\nAnswer: -n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -123, -4, 5.\nAnswer: -123, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11364939, -22729876, -34094813, -45459750, -56824687?\nAnswer: -68189624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/6 - (-10)\/15. Let w = 12 + y. List the prime factors of (w\/32)\/(1\/24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11244023034 (base 5) in base 6?\nAnswer: -1135554032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 40*x**2 - 49 + 42*x - 240*x + 24*x**2.\nAnswer: -16*x**2 - 198*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, -9.27, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-2 - (-10)\/4). Suppose -m = -5*i + 73, 4*i + g*m - 58 = 3*m. Let l = i - -10. Solve 0 = -5*n - 0*n + l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 8*j - 6*j - 42, -4*j + 36 = 4*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14223, 56877, 127967, 227493?\n\"Answer: 14218*a**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425814 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 5*f + 4*f)*(80 + 3*f - 125 - 425).\nAnswer: -6*f**2 + 940*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 114?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 26*s**2 + 23*s**2 + 6*s**2 - 11*s**2 + 6*s**2 - 2*s**2.\nAnswer: 48*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 29*x = -76*x + 86. What is i in -175\/3*i - 5\/6*i**x - 6125\/6 = 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 30 = 2*i, -9 = 4*i - 3*t + 9. Which is greater: -13\/631 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:31 AM?\nAnswer: 413","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert 782534.8mm to meters.\nAnswer: 782.5348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 2230128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243 - -683. Suppose -114 = -3*p + 2*b, 6*b - 4*b = 6. Calculate the greatest common divisor of o and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419449333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, w: 4}. Give prob of picking 2 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*d = 15667 + 8445 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11822055 or -11822051?\nAnswer: -11822055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03301 rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*((-1 + (sqrt(2299) - sqrt(2299)*-2) - (0 + sqrt(2299)*2)) + -2 + sqrt(2299) + (sqrt(2299) + -1 - sqrt(2299)) + 5))**2.\nAnswer: 176*sqrt(19) + 36792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*x**5 - 4761*x**3 - 157959*x?\nAnswer: 920*x**3 - 28566*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**3\/3 - 60*h - 45. Let g(y) be the first derivative of d(y). Let v(s) = 18*s + 3. Give v(g(k)).\nAnswer: 36*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6043*q**2 - 13244*q**2 - 26246*q**2.\nAnswer: -33447*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858 - 1284 = -7*i. Let n = 433 - i. What are the prime factors of n?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.3927 to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = -940 - 84. Which is the second biggest value? (a) m (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(209) - -2*sqrt(209))*6)\/(-1*2*sqrt(11)).\nAnswer: 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -6*g. Suppose g = m + 2*m - 75. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 68\/(-10))*-5. Let q(f) = -84*f + 57. Let m(i) = 39*i - 28. Let o(k) = 9*m(k) + 4*q(k). Let d(u) = -3*u + 5. Determine j*d(y) + 5*o(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77)*2 - sqrt(77)))*-3 - ((sqrt(77) - -3*-1*sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77)))\/(sqrt(77)\/sqrt(396)*-3).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by -2087.\nAnswer: 250\/2087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1629109190 rounded to the nearest 1000000?\nAnswer: -1629000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-35)\/1 - 2). Let c = 85 - h. Calculate the remainder when c is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**4 + 46*m**3 + 100*m**2 = 0.\nAnswer: -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19298, -22735, -26172, -29609, -33046, -36483?\nAnswer: -39920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 3*z + 2. Let t be m(-1). Let q(r) = t*r - 5 - 2*r + 7. Calculate q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 535*f**5 + 6*f**3 + 8*f**2 + 1282*f. Let k(c) = 2*c**5 - c**3 - c**2 - 3*c. Let y(p) = -6*k(p) - r(p). Find the second derivative of y(l) wrt l.\nAnswer: -10940*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -19*g**8\/112 + 17*g**5\/20 - 51*g**2. Find the third derivative of y(m) wrt m.\nAnswer: -3420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) 4 (d) 6.5 (e) 5 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005006193 rounded to 5 decimal places?\nAnswer: 0.00501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 1. Let y(l) = -l**3 + 3*l**2 + 2*l + 26. Let f(n) = -5*r(n) + y(n). Is f(8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -51*t - 68. Let i(o) = 2*o + 3. Let f(z) = 68*i(z) + 3*r(z). Let h(x) = 110*x. Calculate -33*f(v) - 5*h(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643333682.\nAnswer: 2, 97, 3316153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q*r**2 + 194*q*r + 8266*q + 2*r**2 + 4*r wrt r?\nAnswer: -4*q*r + 194*q + 4*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-1)\/(163\/815) + 4. What is the closest to j in -39, 0.3, -1\/5, 0.32?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 31*z**2 + 161*z - 26. Give i(6).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 + 3675*n + 797778 = 0. Calculate n.\nAnswer: -943, -282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:04 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 820609781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/12 - 79*b**5\/5 + 125*b**4\/4 + 94*b**3\/3 - 10*b**2 + 303. Find i, given that w(i) = 0.\nAnswer: -1\/5, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -9. Let p = 14 + -9. Let j be (2\/4)\/((-4)\/(-24)). Which is the closest to d? (a) p (b) -2\/23 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose 57 + 207 = c*d. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 5:43 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2444008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 1. Let o(f) = -14*f - 10. Determine -22*n(m) + 2*o(m).\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.955 - 0.045. What is the nearest to -0.1 in 1, 2\/15, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 231*r**5\/20 + 146*r**4 - 2*r - 30. Find the third derivative of n(o) wrt o.\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 8878, -5\/3, 73, 0.4?\nAnswer: 8878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8888601469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8670038 is divided by 18807?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3))**(-37)*((r*r\/r**(-2))\/r*r)**(-20) assuming r is positive.\nAnswer: r**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 rounded to the nearest 10?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:10 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*w + 60, 2*w - 66 = -2*w - s. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykydbyyydyykyybyyyy. Give prob of sequence ybb.\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acdaaaaaaaaccccacc. What is prob of sequence cacc?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 1.224. Let q = z - -0.07637. What is q rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/645 and -73\/2580?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y - 3*i = -31*y + 3, 6*y + 2*i - 30 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 285*d + 5112.\nAnswer: 3*(d + 24)*(d + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 - 5*m - 1. Let u be o(-7). Let l = u + 17. Factor -4 + 6*t**4 - 13*t**2 + 8*t**2 - 7*t**2 - 18*t + l*t**3 - 6*t**2.\nAnswer: 2*(t - 2)*(t + 1)**2*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d)\/d**(2\/31)*(d**3\/d*d)**(-1\/11) assuming d is positive.\nAnswer: d**(-456\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 (base 6) in base 16?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a**2*c**3 + 2875*a**2*c**2 + 2*a**2*c + 2276*a + c**3 - 13*c wrt c?\nAnswer: -72*a**2*c + 5750*a**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 5859288?\nAnswer: 585927a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077061 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7036154706 - 1.\nAnswer: -7036154707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/5, -2\/9, 0.198, 0.02, 0.1 in increasing order.\nAnswer: -2\/9, 0.02, 0.1, 0.198, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.58883 * -2.4.\nAnswer: -42.213192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 14*q + 7*q.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/(-36))\/(208\/(-32)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 35*o = -4838. Does 91 divide (130\/(-3) - 0)\/(o\/(-1239))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 68?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 - -2.4. Suppose 0 = -0*o + 2*o. What is the second smallest value in o, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b\/(b*b\/b**(3\/4))*b)\/b)*b\/b**(2\/9)*b**(-5\/2)\/(b\/b**(-2\/9)))**(2\/75) assuming b is positive.\nAnswer: b**(-97\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 530 + 359 = 2*c, 15 = 5*c. Suppose 77 = 4*v - t. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 3\/6*(0 + 0). Let h(t) be the first derivative of 0*t + 0*t**2 + 0*t**4 - 1\/5*t**5 + 3 - 4\/3*t**l. Find the third derivative of h(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 26*v - 450. Let j be s(21). Calculate the greatest common divisor of 21 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (1 + 5 + -3) - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 3*k + 3*k - 8*k + 7*k + 4.\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**3 - 6*y + 0*y**3 + 11*y in the form s*y + b*y**3 + m + n*y**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7886 = -2*a + h - 2168, 0 = 5*h - 10. What are the prime factors of a?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8499444*v**5 - 8916753*v**2.\nAnswer: -509966640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7467 - 1137 = 5*r, -8 = 4*r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.1 - 49.1. Put 10\/7, 1, -4, z in ascending order.\nAnswer: -4, 1, 10\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-2)\/4 + (-27)\/4). Suppose -5*t + 3 + h = 3*s, 0 = -4*t + 16. Solve -2*u + s = w, -2*w - u + 7 = 2*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 2:28 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719904303.\nAnswer: 13, 1741, 75991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2563)\/(-35882)*(-14)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + -1)*61\/(-183). Let k(i) = 4 - 4*i + 3*i - 8*i - 1. Determine k(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:05 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 9*z**2 + 11*z - 19. Calculate the remainder when s(-11) is divided by (-6)\/(3\/(30\/(-4))).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 5*o**2 + o**2)*(-o**2 + o - o) + (3*o**2 - 2*o**2 + 2*o**2)*(o**2 + 0*o**2 + 0*o**2) + 5*o**4 + o**4 + 11*o**4.\nAnswer: 22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 650911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7.96. Let y = p + -0.02. Let w = y + -0.44. Which is the biggest value? (a) -5 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 135?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 4, j: 2, v: 1}. What is prob of picking 2 j and 2 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090519303 rounded to 3 decimal places?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 1. Let t be (-7)\/(-21) - (-49)\/(-3). Let k = t + 27. Let i(j) = 4*j + 2. Calculate k*y(v) - 6*i(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftf when three letters picked without replacement from {f: 13, t: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 39 + 4*p + 14*p + 430*p**2 - 4*p - 428*p**2. Let f(w) = -2*w - 1. Let u be f(6). Is h(u) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 2091*i - 617674. Calculate o(-356).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/((-1)\/8). Let d(h) = h**3 - 3*h**2 + h + 2. Let r be d(2). Suppose 4*j - 43 = 5*c, r = -3*c - f - 5. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29082 + 25079. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**3 - 9. Let q(g) = -7*g**3 - 8. Give 5*q(l) - 4*s(l).\nAnswer: -7*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 603553 from -883.\nAnswer: -604436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 1581*j + 109846. Calculate s(-77).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 197 and 190 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*l + 3*n + 32, 9*l - 10*l + 13*n = 16 + 30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 91*s**2 + 670*s + 185. What are the prime factors of l(-82)?\nAnswer: 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.014 + -5.014. Which is the closest to 10? (a) -0.3 (b) y (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 72*d - 1192. Determine n(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/(77\/35 + -3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t**2 - 31578 + 31578.\nAnswer: -53*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332598988?\nAnswer: 2, 3, 197, 986717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 - 4*i + 6. Let n(h) = -h**2 + 1. Let u(v) = -3*n(v) + z(v). Let o be u(-4). Solve -t - 2 = -o*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -136, -274, -412, -550, -688?\n\"Answer: -138*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1196, 2397, 3598, 4799, 6000, 7201?\nAnswer: 8402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-1)\/((-9)\/(-15)))*(-26)\/(4368\/(-105))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5232 = -86*l + 304*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -1\/8*l**4 - 1\/60*l**6 + 2\/15*l**5 - 5*l**2 - 19\/6*l**3 + 0*l + 0. Let q be v(13). What is q rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 3*p - 8. Let q be v(4). What is the lowest common multiple of 10 and (28\/20 + -2)*(-1 + q)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b83b6 (base 12) to base 14.\nAnswer: -1ba5bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2. Let q(s) = -s + 4. Calculate 3*q(a) - 7*y(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 10 = x, 5*c = -3*x + x - 13. Let b be (-26)\/(-10) + 4\/10. Suppose 0 = b*l + i + 4, 4*i - 18 = 5*l - 0*i. Put l, c, -5 in increasing order.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -28*y + 463. Determine p(-8).\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = -3*o, -13 - 10 = -3*s + 5*o. Solve -u + s*u = -10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8\/3, 10 in ascending order.\nAnswer: -8\/3, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15769, 16982, 18195, 19408?\n\"Answer: 1213*d + 14556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 14 = 3*g, 0*g - 2 = g + x. Let u be (g - -8)*(3 - 25\/10). Suppose -259 = -u*b + 3286. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 858 - 607. Let n be 12\/9*(-3)\/2. Is z - (1 + n + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 847 = -15*p. Let v = 81 - p. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a - 384 = -20*a - 293 + 357 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 3*s - 3*c, 253 - 18 = 3*s + c. Suppose n + 15 = b - 0*n, 5*b - s = 4*n. Solve -3*j - j - b = -5*h, -j - 4*h + 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwwwwwwwwww. What is prob of picking 1 r and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 13421*a - 13412*a = 56, -12*t + a + 127 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 25704*g - 3306496.\nAnswer: (g - 128)*(g + 25832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.93 + -17. Let l = g + 0.07. Which is the closest to 1? (a) l (b) -1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 627 = i, -5*i - 1123 + 165 = -3*b. Suppose 7*f + 325 = -3*v + 2*f, 3*v - 2*f = -b. Let k = -57 - v. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 29*u - 23. Let n be t(3). Suppose 3*l + 4*q - n = 0, -11*q + 72 = 5*l - 13*q. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + 160. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 76757277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 100 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 9*f + 9. What is the remainder when 5\/(10\/72) + 0 is divided by q(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 64.84. Let q = s + -2.06. Is q at most -9.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 4)*(7 - 5 + 3)*(-2 + 2 - 2)*(-2*s + 26*s - 10*s) + s - 2*s + 2*s)*(1 + 1 + 0).\nAnswer: 1122*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (48\/(-20))\/((-6)\/15) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35709924 by -8927481.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + l - 281, 885 = -470*p + 473*p - 3*l. What is the highest common factor of 5112 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*g + 30 = 0, 5281*g + 16 = 2*s + 5279*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 19 - ((38 - 15) + -11 + -10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) - (4 + sqrt(363) + sqrt(363))) + ((sqrt(18)\/sqrt(6) - sqrt(3)) + sqrt(3) - sqrt(3)) + -3)**2 + 5 + sqrt(30)\/(sqrt(10)*-1*-1))*4.\nAnswer: 620*sqrt(3) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325.26 rounded to the nearest 10?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4901, -9796, -14691, -19586?\n\"Answer: -4895*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 2\/5 (b) 0.03 (c) -2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -233 + 2. Calculate the greatest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = 0, -4*v = -2*v - 3*f - 159. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -67036a85?\nAnswer: 67036a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2594.\nAnswer: -1\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5\/7 + 50*l**4\/7 + 58*l**3\/7 - 146*l**2\/7 - 256*l\/7 - 104\/7 = 0.\nAnswer: -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 19. Let x be u(4). What is the closest to 6 in -0.3, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511*i = -534*i + 437. What is the remainder when 394 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 6. Let d(u) = -u**3 + 5*u**2 - 4. Let y be d(z). Let k(m) = 4*m**2 + 7*m + 10. List the prime factors of k(y).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:16 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/4 (b) 1.2 (c) -0.041 (d) -3.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1+174472.691026\nAnswer: 174473.691026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 0. Suppose 3*v + 0 - 61 = 4*o, -48 = -4*v - 3*o. Let g = 17 - v. Calculate the smallest common multiple of g and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087503981 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82617 - -3?\nAnswer: -82614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c + 69*c - 14 = -52*c - 3*m, -3*c - 4*m - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 - -20688700?\nAnswer: 20688627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 3*t**2 + 2. Let v be l(-2). Let u be v\/8 - (-20)\/16. Let g(b) = 1 - u + b. Let i(k) = -3*k**2. Give g(i(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1256*v**3 + 2*v**2 - 13*v + 27. Suppose 11*j = 7*j - 4, 0 = 5*i + j - 9. Is y(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19bb (base 16) in base 5?\nAnswer: 202322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbvbbbbbbbbbbbbbb. What is prob of picking 2 b?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-1920))\/((-8)\/(-6))?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 - u**2 - 3*u**2)*((u + u - 3*u)*(-4*u + 0*u + 2*u) + (-27 - 10*u + 27)*(u + u - u)) to v*u**2 + s*u + p + n*u**3 + c*u**4 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491465?\nAnswer: 3, 5, 99431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 + 2*w**3 - 13*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.07867774 to zero dps.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - c89?\nAnswer: -c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + g - 2*g + 0 + 0 + (1 + 2*g - 1)*(3 - 5 + 1) - g + 0 + 0 + 4*g - 4*g + g + 5*g - 13 + 13 + 12*g - 35*g + 17*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 - -112. Which is bigger: k or 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5 + 1. Suppose 0 = -h + k, 0*c + c = 2*h + 138. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1133, -3654, -7857, -13742, -21309?\n\"Answer: -841*v**2 + 2*v - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*o + 4*h - 0*h, -o + 18 = 5*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.234\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -5711*b**6\/30 + 16*b**3 + 5*b**2 + 6140*b. What is the second derivative of z(m) wrt m?\nAnswer: -68532*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3490, -3492, -3494?\nAnswer: -3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6\/17))\/(d*d**1) assuming d is positive.\nAnswer: d**(-11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - 3.8. Suppose 7 = -3*n + 3*a - 2, -5*n - 7 = -3*a. Sort m, n, 0 in descending order.\nAnswer: n, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**4\/4 + 5*m**3\/3 + 7. Find the third derivative of k(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/(-2 + 6)). Let d = -28 - -32. Suppose -4*i - 3*m = 12 - 5, i - d*m - 22 = 0. Solve i*y + 4 = -u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 496545*b**4 - 20542686822*b**3 - 308252531670*b**2 + 20542686825*b + 308252035125 = 0. What is b?\nAnswer: -15, -1, 1, 82765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and (-3)\/16*2 + (-96114)\/(-48)?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 7, 24, 51, 88, 135, 192?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -2*b - 1\/2*b**3 - b**2 + 2 - 1\/12*b**4. Factor r(t).\nAnswer: -(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1697313.\nAnswer: -339462.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**5\/20 - 19*d**4\/24 - 61*d**3\/6 + 3*d**2 + 45. Let s(t) be the second derivative of u(t). Differentiate s(h) wrt h.\nAnswer: -6*h - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6336 is divided by 3168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1360, 2719, 4078?\nAnswer: 5437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 = -8*l - 355. Let a = 164 + l. Calculate the remainder when 90 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 + 675 = 5*j. Solve -j = 17*c - 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24a2 (base 11) to base 15.\nAnswer: -e73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221 divided by -42327.\nAnswer: 221\/42327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by 117.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*s + 55*s + 6 + 39 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*v**3 + 926*b*v**2 + 5*b*v - 50*v**3 - 108 wrt b?\nAnswer: v**3 + 926*v**2 + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3540, 1, -2, -7, -8 in ascending order.\nAnswer: -3540, -8, -7, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314 (base 5) in base 11?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -183?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - (7 + 4)) + 95. What is the greatest common factor of 36 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from {g: 8, c: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 9 + -3 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = 96*t + 1238 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80725664?\nAnswer: 2, 101, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209078?\nAnswer: 2, 107, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 0*q**4 - 6*q**4 - 4*q**4 - q**4 + 3*q**4 + (-2 + 4 - 1)*(-2*q**4 + 2*q**4 - 2*q**4) - q**4 + 0*q**4 + 4*q**4 - 2*q**4 + 6*q**4 - 5*q**4.\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Suppose 2*o - d = -0*o + 16, -2*o + 16 = 2*d. Let c(t) = o*t - 8*t + 10*t. Give r(c(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at least 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 817661653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 17 + (-14 + 22 - -6 - 6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 8 + 15 - 73 + s to the form g*s + k and give k.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lir when three letters picked without replacement from {l: 1, r: 1, h: 1, o: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 7. Let g be (2\/(-3) + (-76)\/(-105))*(-735)\/(-294). Sort -2, -0.5, d, g in increasing order.\nAnswer: d, -2, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 19 + 121 = 0. Let l be (-7)\/t + 78\/8. Let c be (-4)\/l + (-2 - -2). What is the closest to c in 1\/3, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k**3 - 18*k**2 - 56*k + 7. Let s(y) = 9*y**3 - 10*y**2 - 28*y + 4. Calculate -4*d(n) + 7*s(n).\nAnswer: -n**3 + 2*n**2 + 28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-39)\/15 + 3 - 80543\/(-139855)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38456947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 170. Let h = -186 + y. Calculate the lowest common multiple of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14411, -29440, -44469?\n\"Answer: -15029*k + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53598 is divided by 1115.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(0 - 1 - 2)*(-32*g - 19*g - g).\nAnswer: 156*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q**2 - 26*q. Let m(d) = -4*d**2 + 5*d. Let p be 6\/10 - 364\/(-260). Give p*u(l) + 11*m(l).\nAnswer: -2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 36*p + 67. Let w(o) = 9*o. Calculate w(l(n)).\nAnswer: -18*n**2 - 324*n + 603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1046 + -1017. Sort 3, b, 1, 0 in descending order.\nAnswer: b, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 10*s - 4*s + 5. Let r be (-1)\/3*(-36)\/4. What are the prime factors of v(r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 859128 and 92?\nAnswer: 19759944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - -0.3. Let x = 2.1 - y. Let r = 0.4 - x. Is r less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4 - 71*g**2\/2 - 4489*g + 3578. Find the first derivative of l(o) wrt o.\nAnswer: -12*o**2 - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-32 - 18 + 57)*(465*q - 465*q - 73*q**3).\nAnswer: 511*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**3 - 71*o**2 - 71*o + 818. Give z(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -263705543?\nAnswer: -263705542.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-132)\/(-330))\/((-53986461)\/(-17995485) + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 15*w**2 - 3*w + 1. Let y(j) = -31*j**2 + 7*j - 2. Let v(g) = 5*i(g) + 2*y(g). Let q be v(1). Calculate the highest common divisor of q and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i - 18*i + 30. Let j be -2*(1 - (-15)\/i). Solve 8*c - 35 = j*c - 5*m, -5*m + 31 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -200, -332, -480, -650, -848, -1080, -1352?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - k - 201 = 2*k, 0 = 2*k + 4. Let d = b - 3. Suppose 0 = 2*x + 3*z - d, 2*z + 203 = 5*x + 10. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from {r: 6, j: 2, n: 5, s: 2, f: 1, g: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/723, -1340, 3\/8, 5\/3 in ascending order.\nAnswer: -1340, -1\/723, 3\/8, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/14 + 285789\/49. Let k = u + -34903\/6. Calculate the common denominator of k and -111\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*(-40)\/(-76160)*2296.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1 + 8 - 2*z + 5*z**2 - 9. Is p(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -79. What is the third biggest value in b, 1\/3, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*k + 2*k = -32436000, -4*f + 4*k = -32435996. Suppose 2*b = -5890999 - f. What is b rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 2*n**2 + 1 - 22*n**3 + 13*n**2 wrt n?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3782340*i**2*u*v**3 - 37*i**2*u*v**2 - i**2*v**2 + 7*i**2 - 41*i*u*v**3 + 3*i*v - i + 16*v wrt v?\nAnswer: 22694040*i**2*u - 246*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/10*5*1. Let m = 147 - 131. Suppose -16 = -x*p + m. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915775783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 239088+11\nAnswer: 239099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 4*i**2 - 7*i - 6. Let h be b(-5). Let t be (h\/(-5))\/(2\/(-230)). Let c = t - 66. What is the greatest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9884 (base 15) in base 13?\nAnswer: -15b18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stzb when four letters picked without replacement from {s: 1, z: 2, b: 1, d: 2, w: 4, t: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 22*h - 1958. What is 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 are the prime factors of 431231018?\nAnswer: 2, 31, 6955339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 122809264 to the power of 1\/2, to the nearest integer?\nAnswer: 11082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 5) to base 11.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2440669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-2\/5)\/q)\/q))**12*q\/(q*q\/(((q*q\/q**4)\/q)\/q))*q\/(q*q**(3\/7))*q*(q**(-1\/8)\/(q**4\/q))**(-3\/5) assuming q is positive.\nAnswer: q**(10709\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291638 and 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2469, 3723, 5055, 6465, 7953, 9519?\n\"Answer: 39*l**2 + 1137*l + 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 - 71. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*g + 18, t = -4*g - 0*t + 15. Let p be 5\/3 - (-2)\/(-3). Sort 5, p, g in descending order.\nAnswer: 5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(3 + -7 + 7\/5 + 3). Which is smaller: 95\/94 or f?\nAnswer: 95\/94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 4100*a**3 + 300892*a**2 - 1150108*a + 853320 = 0. Calculate a.\nAnswer: -1094, 1, 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23373, -23366, -23359, -23352, -23345, -23338?\n\"Answer: 7*y - 23380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*0.0923755\nAnswer: -0.0739004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*x**2 - 748*x**2 + 243*x**2 + 246*x**2.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 - 4*n - 1. Let v = 9 - 4. Let z be p(v). Solve 2*w + z = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 18. Let u be h(-14). Suppose 63 = u*x - 97. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 6 (b) -2\/9 (c) -0.3 (d) -5 (e) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/6 (b) -0.13 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 3*r - 1, -m = 5*r - 10. What is the third smallest value in 0.2, -1\/16, 2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(0*q**2 + 4*q**2 - q**2) + 0*q**2 + 5*q**2 - q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/60 + 619*m**2 - 2*m. Let x(l) be the third derivative of 4*l**5\/15 - l**2. Calculate x(s(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29.2 times -4560\nAnswer: -133152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 6:56 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16668.87 months in centuries?\nAnswer: 13.890725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412480730 to the nearest integer?\nAnswer: 20310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1.4722318?\nAnswer: 1.4722318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/15)\/(8\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75) + -2 + sqrt(75))*4)**2 - (sqrt(108) + (-4*(sqrt(108) - (-1 + sqrt(108))))**2 - (sqrt(108)*-2 + -2)).\nAnswer: -5778*sqrt(3) + 43758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/6678 and -163\/90.\nAnswer: 33390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*b**3*y + b**3 + 2*b**2*y**3 + y**3 - 8 wrt b?\nAnswer: 60*b**2*y + 3*b**2 + 4*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**4\/7 + 204*s**3\/7 - 200*s**2\/7 = 0.\nAnswer: 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -375*n**6\/2 + 20*n**3 - 203. Find the third derivative of m(l) wrt l.\nAnswer: -67500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4358 + 89216 + 11150 = 4364*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 123*q**3 + 365*q**3 + 6 - q**4 + 2*q + 588*q**3 in the form w*q**2 + g*q**4 + y*q + c + h*q**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80) - sqrt(5)) + -1.\nAnswer: -9*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3581445 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33291 = 4*a - 5*d, -4*a - 6360 = 4*d - 39696. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5415)\/(-722) + 9536\/(-128)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -2*u**2 + 0*u**5 + 0*u**3 + 5\/24*u**4 - 1\/24*u**6 + 0 - 16*u. Let o(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -4*l + 8, -4*l = c + 10. Let s(x) = -x**2 - 8*x - 6. Let o be s(c). Suppose o = 4*h - 2. What is the remainder when 3 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((950\/(-60))\/(-19))\/((-10)\/(-20))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:09 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(1620\/6))\/((-2)\/(-5))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2310390387.9999903 - -2310390249. Let o = 139 + x. Round o to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -49.7\nAnswer: 94.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*v = -3*h - 608, -200 = h + 3*v. Let w = h - -473. Let d = w - 61. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409*t + 20 = -407*t. Let n be 7*1*-1*-1. Suppose -6 = n*v - t*v. Solve -v*s - 2 = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 879808238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (-34 - -29) - -23.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 5. Let u(p) be the first derivative of 3*p**2\/2 - 6*p - 1. Let b be -1 - -4 - -3 - (-62 + 65). Give b*u(l) - 4*i(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Let t(n) = 3*n + 15. Let m(g) = -g - 9. Let v be m(-5). Let l be t(v). Solve -2*i + 12 = c*s, -i = 3*s - 4*i - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a86 (base 14) in base 2?\nAnswer: 1001011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390072, 390052, 390022, 389982?\nAnswer: 389932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**7\/2520 - g**6\/144 + g**5\/40 - 71*g**4\/24 - 2*g**2 - 14. Let q(a) be the second derivative of o(a). What is q(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/9 - 4240*k\/9 - 688732\/3.\nAnswer: 4*(k - 1423)*(k + 363)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*k = -19, -5*k = -4*g - 0*g + 67. Let v = g + -12. Suppose -5*s + v + 9 = 0. Solve s*p - 3*h = 4, -3*h = 3*p - 7*h - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*o*s**4 + 175*o*s**2 + 2301*o*s - 5*o + 25*s**4 - s + 12 wrt s.\nAnswer: 132*o*s**2 + 350*o + 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1*(-4 - 21\/(-6)). Let i = -135 - -135.1. Let z = -46\/3 - -140\/9. Sort z, -0.3, q, i in descending order.\nAnswer: z, i, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*y + 96*y - 3194 = 1622 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/25 - 13 - (-1152)\/120?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.9 (b) -0.1 (c) -2 (d) -5 (e) 0.8 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -0.3, -1, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 172. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-266)\/(2 + 5)*3\/(-1).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 2086822.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/20 + 5*c**4\/12 + 7*c**3\/6 + 3*c**2\/2 - 2*c. Factor y(b).\nAnswer: (b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = t - 44 - 11, -25 = -4*x + t. Solve 82*u - 80*u = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*q = -226 - 270, 139 = y + 5*q. Calculate the smallest common multiple of y and 85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-162)\/15 - 1\/5. Let s be (-10 - b) + (60 - 1). Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00465 - -487.45465. Let u = s + -603.361. Let y = u - -116. Are y and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 16*j**2 + 15*j + 38. Let w be h(17). Solve -2*p - w = 2*d, p = -6*d + d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*r + 13. Suppose -j + 4 - r = 0. Let w(b) be the third derivative of -b**6\/120 - b**5\/20 - b**4\/12 - b**3\/6 + 7*b**2. Calculate w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 + 154*d = 0. Calculate d.\nAnswer: -154, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 = 0, -h = -4*z + 19 - 1. Let j(g) = -3 - 5*g**2 - 4*g - h + 4*g**2 + 4. Determine j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 4, 8, 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 9 + 28 - 0.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(90)\/sqrt(5))\/sqrt(3)*-5)\/(-1*sqrt(98)*1).\nAnswer: 20*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 71 = 3*p, 0*a + p + 65 = -a. Let o = 62 + a. Solve o = -3*m + 4*r, 2*m + 2*r + 10 = 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 204, -2, -4, 0 in descending order.\nAnswer: 204, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*0\/(54\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38709744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 6*g)*((2 - g - 2)*(2 - 3 + 0) - 3*g + 4*g - 3*g - 4 + 4 + 2*g - 11*g + 4 - 4 + 0*g - 4*g - 4*g) to m*g + a + o*g**2 and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19212069 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express i - i + 2*i + (-2 + 2 + 2)*(-i - 4*i + 4*i) - i + 6 - 6 + 6*i - i - 3*i + (1 - 3 + 7)*(i + 0*i + 0*i) - 12 + 12 + 8*i as u*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**6 + 44725*r**4 + 578790*r**2 wrt r?\nAnswer: -360*r**3 + 1073400*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 6*z**2 + 7*z + 3. Let g be y(7). Suppose 2*h - 3 = 5*x - 10, -g*x + 1 = 2*h. Differentiate -2 - 4*b**3 + 7 - x wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.134 and -2736686761.\nAnswer: -2736686761.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11761.\nAnswer: 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 23. Suppose j*n - 5 - 3 = 0. Let a(z) = 2*z**3 + 4*z**2 - z - 3. Let l(k) = k**3. Let q(m) = -a(m) + 3*l(m). Give q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 7*x + 8. Let i be n(-6). Suppose 0 = -2*g - 4 - i. Let m be (7\/14)\/(2\/12). Sort g, -4, m in ascending order.\nAnswer: -4, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (4\/1)\/(-2). Suppose i*s = -2*s + a - 10, 2*a - 5 = -s. Let d = s + 14. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = -4*k, -45*k + 40*k = -2*p + 1. Suppose 5*j + 168 = p*f - 2274, 4092 = 5*f - j. What are the prime factors of f?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, -129, -1\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5130025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 6*k - 96. What is the units digit of u(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-49) - 76\/(-14). Suppose r*g - 40 = -3*o, -3*g - 3*o + 23 = -7. Solve -g*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 7*i**5\/60 - 5*i**3\/3 - 2*i**2 + 12. Let m(v) be the second derivative of t(v). Differentiate m(k) with respect to k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 225 + 85 = 0. Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*s + 241 + 1195 - 522*s - 70*s.\nAnswer: -487*s + 1436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/13 (b) -169 (c) -4 (d) -3 (e) -21 (f) 3\/4 (g) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 20453411?\nAnswer: -20453411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2 - 8. Let w(d) = -2*d**2 + h*d**2 + 7*d**3 - 4 + 3 - 2*d. Calculate w(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 805877964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2358 and 258201.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:11 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14)*5*2\/5\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 - 2. Let f be r(6). Let j be f - 1*(-14 - -1). Let g(p) = 2*p - 1. What is the units digit of g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26724 and 14178?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 1 + 0*n**2 + 8*n - 1\/3*n**4 + 0*n**3. Let a(b) = 6*b**2. Determine a(p(k)).\nAnswer: 96*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 1401*q**3 - 55953*q**2 + 301783*q + 5332320.\nAnswer: (q - 23)**2*(q + 7)*(q + 1440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -70, -2, 1 in ascending order.\nAnswer: -70, -5, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:27 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133 - n**3 - 2*n + 5*n**3 - 131 + n**2 to s + c*n**3 + a*n**2 + l*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 301 - 1.2172.\nAnswer: 299.7828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29109 - 28693.69. Let t = 118 + -531. Let v = t + f. Round v to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1005*r - 1554. Give g(4).\nAnswer: 2466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75363845 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r\/((r\/r**(3\/4))\/r)*r))*r*r*r*r\/(r\/r**(1\/31)))**(-30))**28 assuming r is positive.\nAnswer: r**(-124530\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -11001?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 - 41*l - 21. Calculate m(8).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**2 + 0*q + 3\/5*q**4 + 2\/5*q**5 + 0 + 1\/5*q**3.\nAnswer: q**3*(q + 1)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272891 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + i - 51 = 0, -12 = -z - 11*i + 6*i. Let n be ((-9)\/z)\/(3\/(-27)). Which is the closest to 1\/4? (a) 4\/9 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k + 32 + 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 1\/2*s**3 + 0 - s + 1\/12*s**4 - 1\/2*s**2. Does 3 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 13*f**3 - 3*f**2 + 2*f + 4. Let t be z(-8). Let i = 1440 - t. Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -135040 in 0.2, -0.2, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 + -204.72. Let y = o - -3.02. What is the fourth smallest value in 2\/11, -0.2, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30610 + 32125. What is the lowest common multiple of 1515 and y?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/210*-3*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553592 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l + n, -3*l = 2*n + 9. Let c(i) be the second derivative of -i**3\/6 - i**2\/2 + 15*i. Give c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -n - 3*n. Let u(j) = -2*j**2 + 9*j - 9. Let o(i) = -2*i**2 - i + 1. Let h(s) = -3*s**2. Let r(a) = -3*h(a) + 4*o(a). Determine n*r(g) - 4*u(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1407555\nAnswer: 4\/1407555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/((2 - 0) + -4). Let x = u + -12. Let l = x + 10. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -117, 7, 5, 1 in decreasing order.\nAnswer: 7, 5, 1, -7, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 14 - 16. Suppose 62 = q*x - 4*d, x + 173 = 6*x - d. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3038 and 80290.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.9, -4, -1\/9, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {l: 2, i: 3, g: 4, d: 9}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eelj when four letters picked without replacement from vrwerrwrerjrlvv?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114.66 + 1.34. Let o = g - 116.1. What is the nearest to o in 3\/2, 0.1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120900?\nAnswer: 2, 3, 5, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 6, p: 1, m: 8, b: 1, j: 2}. Give prob of sequence mj.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 15. Suppose -a + 1875 = 5*d, t*d - 3*a - 1500 = -a. Let p = d - 575. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20\/3*f - f**2 + 7\/3 = 0 for f.\nAnswer: -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 7. Suppose 6*f = 3*f - 3, -4*u - 4*f = -76. Suppose 5*o - 4*k - u = 0, 2*o - 8 = -2*k - 0*k. Determine c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 288*b + 10368.\nAnswer: 2*(b + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 2291*b + 227730. Give z(-84).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22851.\nAnswer: 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = 4*i. Is 66 + (i + 1 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48033.3 decades to months.\nAnswer: 5763996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2537, 2315, 1719, 563, -1339?\n\"Answer: -31*n**3 - n**2 - 2*n + 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 104e (base 15) to base 14\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 590681 * -30.\nAnswer: -17720430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -16*x**3 - 100*x**2 + 397*x - 51. What is a(-9)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28590981)\/(-738) - (-2)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1952 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19131 and 763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 - 1810 = -142*u - 236*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22122211011221 (base 3) to base 5.\nAnswer: 2134233220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6670 - -9871. List the prime factors of b.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 752797 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20126 and 3777442.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t - 2. What is the remainder when 27 is divided by m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*r + 24 = -94, r + 212 = 3*d. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-8))\/(6\/20). Let m(l) = -4 + 0*l - l**3 - j*l - 4*l + 1 - 9*l**2. Let r be m(-8). Solve -z = 0, 0*z + r*z = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 48761986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27c (base 14) to base 13.\nAnswer: 2c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 33, 71, 147, 273, 461, 723, 1071?\n\"Answer: 2*b**3 + b**2 - 5*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = j. Suppose 5*s + 2*t = 11, -4*s + j*s + 11 = 5*t. Solve g - s = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871 > 2872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -5 (c) 2\/109 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 2*y + 12, -5*r = 5*y + 5. Solve -r*x - 14 = 2*f, x + 2*f + 2 = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, p: 2, c: 3, i: 4, s: 1}. Give prob of picking 1 u and 2 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 21\/2*-4. Let v = s - 41. Suppose -97 = -5*o - 3*y, v = 4*o - 2*y - 63 + 3. Calculate the highest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 - 458190\nAnswer: -458089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 220*c**2 + 16*c + 119. Is 116 a factor of b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**6\/10 - 237*h**5\/100 - 259*h**4\/20 + 11*h**3\/2 - 2*h + 655. Suppose m(p) = 0. What is p?\nAnswer: -11, -5, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbubjjjuivbbubquvjv. Give prob of picking 1 i and 1 q.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/3 - 818*y + 4912\/3 = 0.\nAnswer: -2456, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 355 - 1541335?\nAnswer: -1540760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/13 > -4618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 0 - (-19 + 16) - -81. Let h = -116 + o. Let k = h - -24. Is -6 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2420) - sqrt(20))\/sqrt(4) + (sqrt(80) + -1 - (sqrt(40)\/sqrt(2))\/sqrt(4))**2.\nAnswer: 15*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(2\/(-12)). Let z be (-25311)\/(-118) - 2\/(-4). Suppose -z - 160 = -f*i. Calculate the highest common factor of 50 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 6*x - 2. Let t be (-21)\/7*(-22)\/(-6). Let u = t + 7. What is the remainder when 14 is divided by w(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmttmmmm. Give prob of sequence tmmt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/30, -2\/21, -1, -1\/3?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111000001010 + -11011?\nAnswer: -1111111000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2*o - 450*o**3 + 2*o.\nAnswer: -450*o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -83*u**5\/5 + 10*u**4 + 148*u**3\/3 - 4*u - 8005. Find the third derivative of a(b) wrt b.\nAnswer: -1992*b + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4362 + -4358. Which is the closest to 2\/7? (a) -1\/3 (b) -0.5 (c) p (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/70*(-4)\/6. Sort 2\/13, n, 1\/5.\nAnswer: n, 2\/13, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -50018*j + 50019*j. Sort -0.4, -92, j in decreasing order.\nAnswer: -0.4, j, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71465 is divided by 10162?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -2*v - 2*n + 6*n, 4*n = -2*v + 148. Let s = -23 + v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/2, -0.06, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352062411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let f = -6\/295 - -313\/885. Let x = -0.83 + 1.33. Which is the third biggest value? (a) -4 (b) f (c) q (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1433 + -987. Let n(v) = -7*v**2 - r + 446. Let q(l) = -4*l. Give n(q(t)).\nAnswer: -112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 634140 + -13?\nAnswer: 634127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - y + 1. Let d(s) = -7*s + 7. Let a(z) = d(z) - 7*r(z). Let p = 326 - -633. Let f(w) = w**2 + p - 959. Give a(f(t)).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782071258?\nAnswer: 2, 11, 53, 463, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -s + 3*f, -40 + 86 = -4*s - 5*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 77. Let a(j) = 2*j + 38. Let c(d) = 5*a(d) + 2*v(d). Differentiate c(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-110)*(-60)\/(-24)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/56 - (-3 - 46\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*v**2 + 155*v**2 + 255*v**2)*(-v - 3*v + v)*(-v - 3*v + 5*v).\nAnswer: -987*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418861823 to the nearest integer?\nAnswer: 20466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**8\/1512 - 4*o**7\/945 + o**6\/540 + o**5\/27 - o**4\/27 - 8*o**3\/27 - 8*o**2. Factor m(b).\nAnswer: 2*(b - 2)**3*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m + m + 0*m in the form j + i*m and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/sqrt(192)*-1)\/(sqrt(5) + (sqrt(20)\/sqrt(36) - sqrt(5)) + sqrt(80)*6))**2.\nAnswer: 63\/85264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.816 (b) -7\/92 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*((4*p - 4*p + 2*p**2)*(p**2 + 0 + 0) + 6 - 5*p**4 - 6).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(1039 - 1064 - r**2 - r**2) in the form f + z*r**2 + u*r and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 + 20*q**2. Let g(f) = -f**2 + 1373*f - 1373*f. What is -20*g(c) - p(c)?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/4 + 4*k**3\/3 - 3*k**2\/2 + 5*k + 2. Suppose l + 2 + 3 = 0. Give t(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6715149 divided by 28.\nAnswer: -959307\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p + 3. Let f be i(-1). Let o(q) = 3*q**2 - 3*q + 10. Let x(c) = c**2 - c + 3. What is f*x(h) - 2*o(h)?\nAnswer: h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 11*o\/2.\nAnswer: o*(o - 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -655496*b + 1966499. Determine k(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -19, 73, 2 in decreasing order.\nAnswer: 73, 2, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w = -54*w - 212. Let a be (-68)\/(-28) - 2 - w\/(-7). Solve -5*v + a + 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 521. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + j + 1. Suppose 125 = -3*o + 4*z, -2*o + 6*z - z = 95. Let n be (-8)\/5 + (-21)\/o. Let u be v(n). Solve 2*l = 3*h - u + 3, 5*h + 6 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24489*y - 12807*y = 12202*y + 23400 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 13*x - 426 = -39*x - 3186 for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -33, 10, 85, 198, 355?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -127.\nAnswer: 43\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 334033013 + -5?\nAnswer: 334033004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(0 - 1*-1). Let z = 63 - 59. Let f be (-1*z\/38)\/(2\/(-2)). Is f less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -0.14. Let m = -0.1 + u. What is the biggest value in -2\/19, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + z + 213, 0 = -n + 5*z + 49 - 10. Suppose 52*l - 20 = n*l. Let r be ((-20000)\/(-3))\/(l\/(-82650)). Round r to the nearest one million.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1eb + -27e?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:29 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4 - 99628*p**3 - 3883440*p**2 - 49281364*p - 204774350 = 0.\nAnswer: -49775, -17, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17065 and 83441024.\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 501732 and 138.\nAnswer: 11539836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7731595 - -7731594.96600029. Let a = -9.6 + 9.566. Let f = a - v. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155437 (base 8) to base 7.\nAnswer: 322354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1255*c**2 + 2*c - 848 wrt c.\nAnswer: -2510*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 673 - -136. Suppose -4*d = 669 - o. What is the remainder when 276 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + p + 2 = -10, -l - 5*p - 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.23, -134, -3, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468036 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 324\/63 - (0 - -5). Suppose -4*m = -2*m + 3*w + 8, 0 = -5*w - 20. What is the closest to t in m, 0.2, -4\/5, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 80*n + 256. Let c(k) = -4*k**2 + 401*k - 1276. Let m(h) = 2*c(h) + 11*r(h). Find o, given that m(o) = 0.\nAnswer: 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 73.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1*234\/(-1248).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + 3 + -5 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**2 - 4. Let q(d) = -5*d**2 - 3. Let u = 7 - 4. Let z(g) = 44*g**2 + 28. Let v(f) = u*z(f) + 28*q(f). Determine v(a(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*w = 5*w + 33, 2*w + 6 = 0. Suppose v = -o + 2. Is 8 a factor of -26*(o - -3) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2\/9 + 778046*k\/9 + 778052\/3 = 0.\nAnswer: -3, 389026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*l - 138*l + 2 = -17*s + 6*s - 10*s, 0 = -3*s - 5*l + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 151 = 121. Let x(t) = -t**3 + 5*t**2 + 2*t - 7. Let p be x(5). Suppose -p*a - 92 = -k*a. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 5. Let b(n) = 4*n - 6. Calculate 6*b(m) - 7*h(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 11, p: 1, j: 7}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/26)\/((-3)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16*40\/35\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 514656 greater than 514622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from qelejlleeeeellqeeq.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, 0 = 3*q + 3*x - x - 2709. Does 43 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*o + 18 = -4*r, 3*o + 1857 = 678*r - 1500 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21788247*f*g**4 + 2*f*g**2 + 7593589*f wrt g?\nAnswer: -87152988*f*g**3 + 4*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/11 - 2820*d\/11 - 19642\/11.\nAnswer: -2*(d + 7)*(d + 1403)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -21627251\/6 not equal to -3604543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-9 + -8) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 12. Suppose 4*v = 6*v. Solve 2*u + q - 10 = v, -3*q + l = -0*u + 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -b - 4. Is b greater than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbzzzczz. Give prob of sequence bc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28 + 2\/5*z**3 + 102\/5*z + 36\/5*z**2.\nAnswer: 2*(z - 1)*(z + 5)*(z + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 7*g + 5. Suppose 58*k = 40*k + 126. What is a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/2129 + 2009\/127740. Let o(x) be the third derivative of -l*x**5 + 0 + 0*x - x**2 + 1\/6*x**3 + 0*x**4 + 1\/20*x**6. Determine o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 1, z: 1, b: 1, y: 1}. Give prob of picking 1 y, 1 z, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/12*(-3)\/(-4). Suppose -36*y**3 + 19*y**h - 3*y + 14*y**3 + 6*y**2 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, c: 5, g: 4, z: 4, b: 3}. Give prob of sequence xzc.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2. Let s(t) = 15*t + 49. Calculate l(s(y)).\nAnswer: -450*y**2 - 2940*y - 4802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - 1) + -2)*-4. Let m be (3\/k)\/(6\/32068). Let s = m + -997. What is the common denominator of s and -45\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5307.4 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279 + 2*u**2 - 3114 + 72 - u**2 - 2*u**2 + 2*u to the form f + g*u**2 + z*u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (sqrt(2299) + sqrt(2299)*-3 + -2 + sqrt(2299) - (sqrt(2299) + (sqrt(2299) + -2 + sqrt(2299))*6))) + 5.\nAnswer: -65 + 770*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-91) - (-20)\/130. Let t = -3 - -6. Suppose 0 + q*b - 2\/7*b**4 + 2\/7*b**2 - 2\/7*b**t = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.66, 0.5, 59\/2 in decreasing order.\nAnswer: 59\/2, 0.5, -8.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 20.86. Let m = d + 4.86. Let p = 139 - 140. Which is the nearest to p? (a) -2\/21 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -32210321220?\nAnswer: -32210321220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3*x + 32749*s**3 + s*x - 4*s - 2*x - 53 wrt s.\nAnswer: 6*s*x + 196494*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 188328*j**3 + 4433617772*j**2 - 8866670568*j + 4433241122.\nAnswer: 2*(j - 47081)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 12. Let g(b) = -3*b**2 - 21*b - 4. Let h be g(-7). Let u be v(h). What is w in -192 - 28*w**2 + 111*w + 3*w**3 + 33*w - u*w**2 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 + 714 = 17*m. Suppose -10*g + 65 = -m. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-703 + 351 + 447)*(8*k + 6*k - 5*k) as p*k + b and give p.\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*2 + sqrt(275) + sqrt(275) + -3 + sqrt(275) + 6*(sqrt(275) - 2*sqrt(275))**2 - (0 + (-5*(sqrt(275) + -1)*1)**2)) + -5.\nAnswer: -5258 + 275*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8117 = -2*p + 5*p - 2*a, -p + 3*a = -2708. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 108 - 217 - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -3*u**4\/4 - u**3\/3 + u + 8. Let h be q(1). Let d be 9\/(-6)*(-1)\/(-6). What is the second smallest value in 0.3, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-80)*809*5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 19*z**2 - 8*z. Let q be u(-20). Let d = -101 - q. What are the prime factors of d?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(52)\/(sqrt(12)\/sqrt(3)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -61*j**2 + 111. What is the remainder when i(0) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*k + k - u, 3*k + 5*u = 2. Let w(r) = -15*r**3 + 2*r**2 + r. Let a be w(k). Suppose -20*m = 252 - 332. Solve 0 = -m*f - 0*f - a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -14 - (-10 - -5). Let o(m) = 5*m**2 - 6. Let g(b) = 14*b**2 - 17. Determine w*o(r) - 6*g(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 7*q + 4. Let o(x) = 2*x - 5. Let p be o(6). Let m be (1 - p) + 3 + -2. Give u(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 10*x. Suppose -2*y + 3*v + 30 = x, -v = -5*y - 5*v + 98. Calculate the remainder when y is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 - 3*q - 3. Let x be v(-3). Let g be x\/9 - 20\/54. Let u = 91\/216 - g. Which is the third smallest value? (a) 3 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j + 6. Suppose -4*c + 3*y - 13 = 0, -c + 6*c = 2*y - 18. Calculate o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/18)*p)\/(p*p**4))\/(p**(-7\/4)*p*p\/p**(-11)) assuming p is positive.\nAnswer: p**(-547\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 1123*u**3\/3 + 4*u**2 - 20*u. Let b be l(7). Suppose b = 4*a + 2*v, 4*a - v + 6*v - 15715 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253982928*u**2 + 84660974*u**2 + 8*u + 84660973*u**2 - 8*u + u**3 + 84660981*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 7*m + 6. Let w be t(-8). Let j = -26 - w. Let a = j - -50. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*h - 16, -5*y + 2 = -2*h - 6. Which is the nearest to -1? (a) -5 (b) 4 (c) 10 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426821627?\nAnswer: 2426821627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i - 2. Suppose q = -i + 2. Is -2\/5 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Let z = 232 - 164. Suppose 6*v = i*v + z. Calculate the highest common factor of v and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.257537kg?\nAnswer: 2257537000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(145 - 29*v - 145).\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21326942 > 21326921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 - 5*q**2 + 113*q + 3. Let b be k(-7). Let j(v) = 5*v**2 - 18*v + 20. Let l(x) = 2*x**2 - 6*x + 7. What is b*j(o) + 11*l(o)?\nAnswer: 2*o**2 + 6*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Suppose 3*i + y = 26, 3*y = s*i - 43 - 19. Suppose -3*n + 5 = -i. Solve 4*m - 36 = 5*f, 2*m - 6*m = n*f + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/4 - 7*m**3\/3 - 4*m**2 - m + 2. Let l be s(-6). Suppose 251*r - 564 = 497 + 194. Solve r = -4*f - l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 7 = -4*w, 2*w - 2 - 2 = 2*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:50 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 219.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36458, 72920, 109382, 145844, 182306, 218768?\n\"Answer: 36462*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3040 + -3040. Suppose -w = 5*x + 15, 2*w - 4*w - 3*x - 2 = 0. Solve -g - 5*n + 29 = u, 9*g - 5*n = 4*g - w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 116 = -b, q - 2*b = 177 - 60. Suppose v + 45 = 2*z, -v = -5*z + 2*v + q. Suppose 4*m - 4 = z. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -234*s**4 + 2*s**3 + 2*s**2 - 70?\nAnswer: -5616*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 10*c + 417. Let q be o(16). Which is smaller: 9\/146 or q?\nAnswer: 9\/146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5062*z = -5071*z + 27. Suppose 8 = 4*r - 0. Let y = r + 12. Solve -4*m - 4 = z*c - 2, -3*c + 4*m + y = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.3, -0.1, 195?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let s(q) = -3*q - 73. Determine s(y(r)).\nAnswer: -6*r**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-14) - 18\/63. Let l be (10\/105)\/(s\/6). Find j such that 0 - l*j**2 + 2\/7*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-20)\/(-6))*78000\/4680?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-356)\/(-3) + 3\/9 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 28 + 5 = -2*w - 1, -9*p + 5*w = 52 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35626679.\nAnswer: 11, 17, 317, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 + 582*y**4 + 297099*y**3 - 111097980*y**2 - 36438992100*y.\nAnswer: -y*(y - 606)**2*(y + 315)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/x**(-19)))\/x*x*x**(16\/5)*x)\/(x**(3\/4)*x\/x**1) assuming x is positive.\nAnswer: x**(-291\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 2*b - 3. Let r be x(3). Suppose -2*n - 15 = -v, -3*n = -r*v + 5*v - 114. What is the smallest common multiple of 9 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {z: 1, a: 1, d: 1, k: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i**2 + 3. Let r be c(3). Suppose -4*k - 21 = -3*k + 5*v, 0 = 5*k - 2*v - r. Let s be (1\/2)\/(k\/(-4)). Solve s*l + 4 + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18*(-3 - 8\/(-3))*-1 and -20*((-26)\/8 - -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9 + 0.9. Let u = 8 + g. Let o be (-1)\/((-4)\/6) - 2. Which is the second smallest value? (a) u (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 14*p - 78 = 3*p. What is the closest to 1\/4 in p, -1\/22, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -370 - 5*g**3 - g**2 + g**2 + 371 + 3*g**2 - 14*g + 0*g**3 to q + s*g**3 + t*g + j*g**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -61?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49399125.\nAnswer: 3, 5, 131731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266.5 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = -4*l + 20, 3*o + 30 = 4*l. Suppose 0 = -l*y + 235 - 7. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 2.3. Let r = s + -1.200021. Round r to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3028)\/(-22710)*((-32)\/42 - -1).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -2\/7 (c) -1\/3 (d) 0.477 (e) 0 (f) 1\/3591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2\/(-6))\/(10\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 25*u**2 - 924*u - 957. Calculate r(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**6 - 3*n**5 - 30*n**4 - 4869*n**2.\nAnswer: 240*n**3 - 180*n**2 - 720*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40131?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2*x - 60. Let r(m) = -m**3 + 86*m**2 - 326*m - 171. Let z be r(82). Calculate c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*t**5 + 0*t**5 - 51*t**5 + (0 - 2*t**3 + 0)*(1 + 2*t**2 - 1) - 2 + t**5 + 2 + 5*t**5 - 3*t**5 - 4*t**5.\nAnswer: -87*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301675\/212964 + -2\/17747. What is the common denominator of 69\/98 and t?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:41 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(((-1)\/2)\/((-4)\/(-8))). Let v(p) be the third derivative of 0*p**3 + 0 + 1\/10*p**6 + 1\/24*p**4 - 1\/30*p**5 + s*p - 3*p**2. Give v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.97 + -8.6. Let l = h + 0.03. Let w = 0 + -0.2. What is the nearest to -1 in l, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/3 + 33054*d**2 + 66109*d + 99164\/3 = 0. Calculate d.\nAnswer: -1, 99164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.016*-4\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 4. Let u be i(0). Let x(g) = g**3 - g**2 - 2*g + 34. Let j be x(0). Let y be j\/6 - (-2)\/(-3). Sort y, u, -3.\nAnswer: -3, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let s(y) = -73*y**3 + 3*y**2 - 2*y. Let f be s(1). Let z(d) be the first derivative of 21*d**2\/2 - 24*d - 2327. What is f*g(t) + 3*z(t)?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*d + 101*d + 35*d to the form k + h*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/5*s**3 - 12 + 36\/5*s**2 + 18\/5*s = 0. What is s?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by (-3 - (-3 + 3))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402920500.\nAnswer: 2, 5, 349, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknkkknknnnn. What is prob of sequence kn?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-6))\/((-64)\/(-24) - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201902283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -131 + 61 + 23*b + 13*b + 70 as l*b + a and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3323?\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 268522 bigger than 268512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 + 105. Suppose -3*z + 4*m + 32 = -0*z, -3*m - a = 3*z. Differentiate 1 + 14 + 35*r - 41 + z wrt r.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from jjjjjrrrrrrrr.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - r + r)*(-608*r + 1664*r + 121*r) in the form n*r**2 + j + g*r and give n.\nAnswer: 2354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 65 = 8*k - 3*k, k = -4*n - 12. Solve 24*q - 20*q = -k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5 - 2 - 7*v**2 + v**3 + 10*v - 5*v**2. Give f(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 14*p + 20*p + 888 = 0. What is the lowest common multiple of 148 and p?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.6 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 8*n**2 + 2*n + 19. Let k be h(-8). Let t(u) = -u**2 + 2*u + 2*u + u**3 - 3*u. List the prime factors of t(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/20 - t**2 + 2*t. Let a be q(-2). Let r be (2\/a)\/(3\/(-10)). What is the second smallest value in 0.1, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 782 - 734. Suppose 5*s + 3*v + 17 + w = 0, 3*s + 230 = 2*v. Let y = s + 115. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12621243 - 11?\nAnswer: -12621254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2, -25 = -d + 5*w - 16. Which is the closest to 0? (a) -8 (b) -10 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-3\/5)*((q*(q\/((q\/q**(1\/2)*q)\/q))\/q*q)\/q*q)\/q**(2\/7) assuming q is positive.\nAnswer: q**(43\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 18, -172418, 4 in ascending order.\nAnswer: -172418, -5, -2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 17741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h**3 + 2*h**2 - 2*h - 3. What is j(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*w - 87, 3*j - 2*w = 2*w + 34. What is the smallest common multiple of j and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.577075 - -52.131. Let c = -22.446 - h. Let v = 7 + c. What is v rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 28665 = 64*m - 8*m. Calculate the highest common divisor of 3045 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-102)\/(-18) - 5)*(-18)\/(-4). Solve -k + d*k = -8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*k + 5186 = -580294. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.19, -1\/5, -2\/21, 2\/5, 3, 0 in descending order.\nAnswer: 3, 1.19, 2\/5, 0, -2\/21, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Let l = -514 - -519. Suppose -2*b = a*g - 32, l*b - 2*g + 13 = 57. Solve b = 3*x + 2*x + o, 0 = -2*x + 3*o - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 + 11*h - 11*h + 2*h**3 - 2*h**3 + h**4 + (h**3 + h**3 - 4*h**3)*(-3*h + 4*h + h) - 4277 + 114*h**4 + 4277.\nAnswer: 115*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 440398*j**3 + 223665*j wrt j?\nAnswer: 2642388*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*((sqrt(684) - (sqrt(684) + 0 + 3) - sqrt(684)) + (sqrt(684) + 0 + 4 - sqrt(684)))*4)**2.\nAnswer: -3456*sqrt(19) + 175428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 111111111110000 (base 2) to base 11\nAnswer: 22675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*(-3)\/6*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, -3, 333, 2, -0.03 in increasing order.\nAnswer: -3, -0.4, -0.03, 0.2, 2, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -6*q**5 + 1054*q**4 + 9092*q**3 + 19872*q**2 + 64*q - 11776 = 0?\nAnswer: -4, -1, 2\/3, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 - -2.7. Let x = 14.5 - h. Let l = x + -12. Which is the closest to 0? (a) 3\/5 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 36.2224 nanograms?\nAnswer: 0.0000000000000362224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 16) to base 13\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2988? (a) 1\/5 (b) -11 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -687261 - -80598533773\/117275. Let r = j - -199953901\/1524575. Let d = 131 - r. Which is the nearest to 0.1? (a) -6\/5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22)*20\/(-40)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 27*s**2 - 6*s + 7. What are the prime factors of n(-27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -303 - 46 + 310*d - 59 - 604 wrt d.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/309870 and -89\/270.\nAnswer: 929610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qeqeepqqq?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -862696236*l*t**2 - 648075221*t**2 wrt l.\nAnswer: -862696236*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1417437053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 914, 2109, 3796, 5975?\nAnswer: 8646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13013 is divided by 118?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -463?\nAnswer: -10\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -0.3, -1.2 in descending order.\nAnswer: -0.11, -0.3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**2 + 196670*i = 0.\nAnswer: -39334, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 divided by 179?\nAnswer: 776\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + p - 5*p = -16, 0 = -3*l - p + 10. Suppose -6*r + 3*r = l. Let a(o) be the second derivative of 2*o**3\/3 + 5*o. Give a(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19625\/564 - -415\/12. Let z(k) = -2*k - 21. Let f be z(-10). Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*21\/210 - (65\/(-25) + 1). Suppose n*u - 9 + 9*u**2 - 3\/5*u**3 = 0. Calculate u.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 13 = -n, -369*n + 3*h - 9 = -371*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 37 + 36 + 2*p**4 + 2*p**3 + p in the form y*p**2 + c*p + h*p**4 + l + q*p**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -3*j. Solve 0 = p + j*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578478.8 days to milliseconds.\nAnswer: 49980568320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 12*g + 41. Let k be h(-14). Which is smaller: -16 or k?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2422 (base 5) to base 14\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 6) in base 5?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4118\/21 - -196. Let h = 0 - 0. Which is bigger: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -357991685.\nAnswer: -357991686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/151? (a) 0.00662 (b) 0 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -297223\/8 + 37206. Let h = -189\/8 + o. Let r = -28 + h. Put 3, -3\/5, r in ascending order.\nAnswer: -3\/5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-87)\/(5 + -8) + -7 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/153)\/(40\/(-4420))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + ((-2)\/(-7) - (-1040)\/182). Let j be (x - -1)\/(45\/945). Factor -j*z**3 + 0 - 8\/3*z + 64\/3*z**2.\nAnswer: -2*z*(7*z - 2)*(9*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 112 + 1022*z**2 + 22*z - 22*z.\nAnswer: 1022*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12199 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - 4*r**4 - r**4 + (-r**2 + 2*r**2 + 0*r**2)*(0*r + 0*r - 2*r**2) - r**4 - r**4 + 4*r**4)*(17 - 1184*r - 4065*r + 29 - 49).\nAnswer: 10498*r**5 + 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3191413 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1473096 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {p: 2, h: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12436 + 36183. List the prime factors of y.\nAnswer: 23747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 2. Let d be f(-4). Find the third derivative of -y**2 + 17*y - 17*y - d*y**4 wrt y.\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) 7 (c) -4 (d) 20\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-168)\/15)\/(-2))\/((-11)\/220). Let m = 94 - h. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.57 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 101. Let u be 15\/(-12) + (-1)\/v - -43. Calculate the highest common factor of 24 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 + 13*z + 14. Let p(u) = 2*u. Let l be p(-4). Let t = l - -24. What is the smallest common multiple of t and s(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 57. Let j be f(26). Is (j + -2 + 0)*(-11 + 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -13. Let x be (-8)\/j*(-6 - -1). Solve 2*w + 3*i + 21 = -2*i, 0 = x*w - 3*i - 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(224))\/sqrt(4) - sqrt(56))\/sqrt(2))\/(((sqrt(324)*-1 - sqrt(324))*6 + sqrt(324) - sqrt(324)) + sqrt(324)).\nAnswer: -sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 606749, 1213461, 1820173, 2426885, 3033597?\n\"Answer: 606712*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4573, -6315, -8059, -9805, -11553, -13303?\n\"Answer: -s**2 - 1739*s - 2833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*d + 3*g, -5*d - 18 + 2 = 4*g. Let b = -1294\/1175 + 48\/47. What is the closest to -1\/2 in d, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 238 = -3*m. Let r = m - -169. Calculate the lowest common multiple of 9 and r.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*u - 97, -14*p + 19*p + 2*u = 100. What is the smallest common multiple of 298 and p?\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/643 and 9\/93235.\nAnswer: 93235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.027149+687\nAnswer: 686.972851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.7 + 7. Let q = 26.5 + -25.5. Let i = -5\/3 + 19\/6. Which is the closest to q? (a) r (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(-1 + sqrt(17))*-2*-2)**2.\nAnswer: -512*sqrt(17) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 68f01 (base 16) to base 5\nAnswer: 102223300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 56 - 89 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 395764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggiggggggg. Give prob of picking 1 i and 3 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 52 = 13*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -381*g + 35. Let j be (12\/27 + (-68)\/(-90))*-5. Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:58 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2915120\nAnswer: -1\/2915120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evjjjvvcjjvjvjvhv. Give prob of sequence jj.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*n**5)*((-1 + 1 - 2)*(-1 - 2 + 1) - 2 + 5 - 2 + 21 - 7 + 31).\nAnswer: 100*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*h = 168, -235 = -f + 2*h - 70. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1718 + 2625. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236a0 (base 13) to base 11.\nAnswer: -44801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-14)\/(-3))*4*6. Solve 5*z = -5*y - 25, 5*y + 0*y + l = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16 = 44. Let r = 14 + v. Solve r*n - 5*n = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 168\/6 + -3 + -2 + 2. Suppose 0 = 7*c - g - 3. Let u(x) be the third derivative of -x**6\/120 + x**5\/10 - 5*x**4\/24 - 2*x**3\/3 - x**2. Determine u(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*c - 1116. What are the prime factors of c?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/(-63)*6\/4. Let r = 3\/2 - q. Is -1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168859779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d - 3*d - 5*d + 7*d**3 + 4*d wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398463701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(21)\/(sqrt(7)*-2))*5)**2.\nAnswer: -50*sqrt(3) + 475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*m**5*w**2 - 11312*m**3*w**3 - 29475*m**2*w**3 + 2*m**2*w**2 - m**2 wrt m.\nAnswer: -5580*m**2*w**2 - 67872*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/437 + 738\/23)*1. Suppose m*i = 34*i - 6. Solve -18 = i*v + 3*f, v + 3*f = -3*v - 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f4e8 + -2?\nAnswer: 1f4e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195561533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35472983 is divided by 7094546.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/57*o**6 - 3 + 2\/95*o**5 - 4\/57*o**3 + 1\/19*o**2 + 2\/19*o - 1\/19*o**4. Factor a(l).\nAnswer: 2*(l - 1)**2*(l + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -23 + 36 + 0 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-56)*21)\/(60\/400)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 bigger than 776\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {f: 1, g: 2, a: 2, n: 1, b: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + -0.8. Let a = b - -4. Sort a, 5, -0.5 in ascending order.\nAnswer: -0.5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54004519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(147)\/sqrt(7))\/sqrt(7) - sqrt(18)\/(sqrt(54) + sqrt(6))) + 1 + (sqrt(108) + 2)*2.\nAnswer: 5 + 47*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/(-6) + 202\/20 + -1. What is the second smallest value in j, 0, 0.5, -219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 8. Let j = 0 + 0. Let d = 34.5 - 35. Which is the nearest to j? (a) 0.4 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2893 + 7*z + 2941 - 5834. Let l(k) = 536*k**2. Give s(l(r)).\nAnswer: 3752*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 3*r - 152 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9171*n - 9193*n = 9175*n - 27567*n - 2856 for n.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-46)\/(-69))\/(1 - 6781\/6783). Suppose -569 = -5*b + s. List the prime factors of b.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/71 (b) -5 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63883429*t - 69378563.\nAnswer: -63883429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.707 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 227526 and 151684.\nAnswer: 455052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3384719186 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (7 - -5))*2. Let n(w) = -w**2 + 29*w - 42. Is n(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7446187?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854061708.\nAnswer: 2, 3, 17, 457, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 - 30*d**4 - 11956*d**3 + 398796*d**2 - 2686030*d - 11967150 = 0 for d.\nAnswer: -85, -3, 19, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190400 and 26320?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 428*f**2 + f. Does 52 divide x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698276007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**4 - 9*a - 3. Let w(s) be the third derivative of s**7\/70 - s**4\/12 - s**3\/6 - 6*s**2. Let x(t) = -2*v(t) + 9*w(t). Differentiate x(b) wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -163889988.06 and -0.04.\nAnswer: -163889988.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3004814 (base 9) to base 13\nAnswer: 43c405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39595, 79189, 118783, 158377, 197971, 237565?\nAnswer: 277159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 548221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.05 - -506.05. Let h = -504 + i. Which is the third smallest value? (a) h (b) -5.8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/29493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t + 4. Let j(w) = -3*w. Let a(v) = 3*v + 1. Let l(f) = a(f) + 2*j(f). Let x(g) = -c(g) + 4*l(g). Let q(p) = -2*p - p - 2*p. Give q(x(i)).\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -100016 greater than or equal to -100019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 127*n - 11. Suppose 9*s - 112 = s. Let t be o(s). Suppose 0 = 3*p + k - t, -4*k + 232 + 1535 = 3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3219322 by -84719.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 526814529 divided by -6\nAnswer: -175604843\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 3408091164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*20*2\/(-4). Suppose -5*x = -0 - j. Let r = 1 - 2. Put x, r, 0.1 in increasing order.\nAnswer: r, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 - -206. Suppose 0 = 3*y - 3*m - 26 - f, -5*y = -2*m - 64. What is the remainder when 21\/1 + 0\/(-2) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1912 + -0.8088. Sort 2, -6, d, 6\/11, 0.2 in ascending order.\nAnswer: -6, d, 0.2, 6\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 2 + sqrt(125))**2 - 6*(sqrt(5) - sqrt(15)\/sqrt(3)).\nAnswer: 40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let p be h\/(-1 + 4\/5). Let z(q) = 6*q - 3. Let r(c) be the second derivative of 7*c**3\/6 - 2*c**2 - c. Determine p*z(x) + 4*r(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24b91 - 3?\nAnswer: 24b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79644158*d**5*n + 7069022*d*n + 4*n wrt d.\nAnswer: -1592883160*d**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12 - 4. Let l = 0.119 + -0.119. Which is the closest to l? (a) -1 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(sqrt(363) + sqrt(363) + sqrt(363)*1) - -4*(sqrt(363) - sqrt(363)*-2)*-3)**2*-1.\nAnswer: -160083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180977.\nAnswer: 137, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-427)\/(-366)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1925, 0, -4, 5, -7 in ascending order.\nAnswer: -1925, -7, -5, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 4*o - 3*o + 18*o - 10*o + 27*o + (3 + 3 - 4)*(4*o + 0*o - 2*o) in the form d + t*o and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 23*g - 104. Let u be m(-36). Let d = u - -581. Solve 2*y - 4*f = 10, -3*y + 3*f + d = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1591*y**3 - 836*y**2 - 7*y. Let h(b) = 795*b**3 + 418*b**2 + 4*b. Let r(l) = 7*h(l) + 4*x(l). Find the third derivative of r(t) wrt t.\nAnswer: -4794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**3 - i**2 + i - 1. Determine b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 760 = -5*r. Let z = r - -85. Solve -3*k - 6 = 3*x, -2*k + 0*x - 3*x - z = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*d - 11, -4*g + 8*d - 4 = 4*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/36)\/((-5)\/3). Let x(v) be the first derivative of -n*v**5 + 0*v**3 + 0*v**4 + 0*v + 1 - v**2. Find the second derivative of x(f) wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v = -76*v - 102 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -40*s + 80. Let z(i) = -33*i + 66. Let o(g) = 14*b(g) - 17*z(g). Suppose 2*j - 14 = -6. Calculate o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -890\/51 + 19513\/408. Suppose -2*l = -57 - 5. Is l equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -21)*1*(-18)\/27. Let r(n) = -t*n - 37*n - 37*n. Let o(c) = -c**2. Give r(o(b)).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.5 (b) -6 (c) -0.3 (d) 1 (e) -0.291 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4 - 68*p**3 + 200*p**2 + 704*p = 0.\nAnswer: -2, 0, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/180 and 203\/3900.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213115273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 63. Sort -2, -4, c in descending order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12 + 5 + 177*x**3 - 5*x**3 - 60*x**2 + 16*x**4 - 172*x + 11 + 16 = 0. What is x?\nAnswer: -11, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u - 2*p - p, -u + 3*p = -11. Let k(j) = 3*j - 17. Let y be k(7). What is the second derivative of 12*q + 0*q**u + 3*q**5 + y*q**5 wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffv when three letters picked without replacement from cfnzfvf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/8 + 1\/4. Suppose i*p = -3*r + 9, -2*p - 6 = -3*r + 3. Sort -2, -1, p in descending order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smy when three letters picked without replacement from ykkmsy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 17*o = -230. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 484*f**5 - 82151*f**4\/2 + 190054*f**3 - 257729*f**2\/2 - 20438*f - 160 = 0.\nAnswer: -1\/8, -1\/121, 1, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1767328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*k - 2*w, -3*k + 4*k = 4*w - 20. Suppose -3*i = -k*i - 1836. Is 13 a factor of ((-4)\/(-6))\/(8\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwswwwwwwssss. Give prob of picking 1 w and 3 s.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 838241230 - 1649.\nAnswer: 838239581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -381, -1210, -2599, -4554, -7081, -10186, -13875?\n\"Answer: -p**3 - 274*p**2 - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 100, 322, 756, 1474?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3503*t**4 - 347*t**2 - 2*t.\nAnswer: 84072*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnww when four letters picked without replacement from nnvvnwvnnvvvnwnv?\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/13)*l**(-1\/5))\/(l**(-3)*l**(-2\/49)) assuming l is positive.\nAnswer: l**(11743\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 3112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.93499 millennia to centuries.\nAnswer: 39.3499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-137 - 5*b + 137)*(-6 - 1 + 2) - 6*b + 5*b - 19*b)*(2*b**2 + 3*b**2 + b**2).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153))**2 + sqrt(17) + -4 + 4 - (4*(5 + sqrt(1377) + sqrt(1377))**2 - sqrt(1377)).\nAnswer: -21979 - 710*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.014 - 6. Let g = -60 - -59.961. Let z = k - g. Round z to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -27, -29 in descending order.\nAnswer: 13, -27, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 + 2*k**3 - k**3 + 18*k**2 + k**4 - 3*k**4 in the form b*k**2 + d + q*k**3 + h*k + s*k**4 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 8\/11 (b) -0.4 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o + 2*o**2)*(-o + 3*o - o)*(3 + 2*o - 3).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -65\/138 (c) 33\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 1. Suppose -5*h = -0*h. Let v be x(h). Let d(k) = -k. Let a(p) = 3*p**2 + 4*p + 4. Let q(y) = v*a(y) + 4*d(y). Differentiate q(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3085 + -3073. Let i = 7 - 4. Suppose 0 = -i*c + 136 - 43. Calculate the remainder when c is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -4 - ((-7 - -7) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxz when three letters picked without replacement from {z: 3, j: 7, t: 5, x: 2, h: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 3. Let m(c) = 3*c - 8. What is 6*m(u) - 17*x(u)?\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 25*i + 167 = -3*h, i - 33 = h. What is the second derivative of i*d**2 + 106*d**2 + 23*d + 12*d wrt d?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -218 (c) 0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/792 and -107\/2562?\nAnswer: 338184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0699959 - 0.07. What is a rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 413962930006 and -0.15.\nAnswer: 413962930005.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10269144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/9324 and -47\/276.\nAnswer: 214452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 32 = -4*q, -3*q + q + 19 = 5*c. Suppose 5 + 45 = c*r. Suppose 0 - r = -2*i. What is the remainder when 13 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940195 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r + 41*r + 43*r)*(0*r**3 - r**3 + 3*r**3) + 0*r**3 + 0*r**3 - 3*r**4 - 2*r**4 + 2*r**4 + r**4.\nAnswer: 142*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -280*c**2 - 63*c. Let v(y) = 9*y**2 + 2*y. Let a(q) = -2*q**3 + 6*q**2 - 3*q - 4. Let m be a(2). Give m*i(j) - 63*v(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/16 - 4*s**3\/3 + 8*s**2 + 3. Solve y(o) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*d - 3, -3*d - 27 = -23*x + 18*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 1. Let l(u) = -u. Let c(a) = l(a) - n(a). Let s(j) be the second derivative of -j**5\/20 + j**3\/2 + 3*j**2\/2 + 6*j. Determine -3*c(p) + s(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 462529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -117?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 411 + 4*b**4 + 3*b**4 - 441 with respect to b.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + 63. Suppose -2*j + 123 = 5*d, 2*d = -d - j + 74. What is the remainder when f is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -1484*y + 1482*y. Suppose 0 = 2*b + 2*a + 10, -y*b - 19*a + 23*a + 20 = 0. Factor -2*k + b + 1\/2*k**4 + 4*k**2 - 5\/2*k**3.\nAnswer: k*(k - 2)**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/50)\/(3\/(-30)). Suppose 5*j - d*o - 303 = 2856, -j + 634 = -3*o. What are the prime factors of j?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-28)\/16)\/1)\/((-4)\/(-80)). Let p be (-26)\/(-7) + b\/49 + 1. Solve -p = -2*o - 14, 2*o = -5*d - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137284 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425169 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 3 + 3 + 5*f + f**4 - 7 to y*f**2 + l*f + o + q*f**4 + d*f**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, o: 5, l: 3, v: 1}. Give prob of sequence vrr.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 48, -12766, 0, -2 in descending order.\nAnswer: 48, 0, -2, -4, -12766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -13. Let r = 40 - a. Let g = 42 - 30. Calculate the remainder when r is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2525 = 250*q + 267*q - 12*q. Put 10, -3, q, 16, -2 in increasing order.\nAnswer: -3, -2, q, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/9)\/2*4\/14.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.601021 to 1 dp.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-2)\/3). Is 475\/20 + d\/(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5404312268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 32810685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2247 - 30 = -3*x, 2*b - 4522 = 2*x. Suppose -q + 4*d = -1115, -q - d - b = -3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-20)*c*c)\/c)\/((((c*c**(-3)*c)\/c)\/c)\/c))\/(c\/(c*c**(-1)))**(11\/4) assuming c is positive.\nAnswer: c**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 577478 - -1685864. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = -4*h, -3*h + 2*h = -4*m + 14. Suppose 5*a + m = 8. Calculate the remainder when (1 - 3\/(-3))\/2 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 - 4*y - 6. Let a be g(5). Let u = a + 5. Find the second derivative of -4*k + u*k**4 + 3*k + 4*k wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5 - 58\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c**5 + 214*c**4 - 1110*c**3 + 2050*c**2 - 500*c.\nAnswer: -2*c*(c - 5)**3*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1800 - -826?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 39. Let a(i) = -5*i + 38. Suppose 0 = 5*n - 20, d = -0*d + 4*n - 10. Let t(v) = d*u(v) - 7*a(v). What is the first derivative of t(m) wrt m?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-8))\/(2\/32). Suppose -3*c = c - d. Determine a, given that c*a**2 + 548 - 983 + 582 - 42*a = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 19. Let u be n(-4). Suppose -2*m + 0*m + u = f, -3*m = 4*f - 35. Suppose 0 = 7*z - 130 - 10. What is the remainder when z is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -6 - (2 - (-2 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (-6*(3 + sqrt(288)) - sqrt(288))) + -5)**2.\nAnswer: 2496*sqrt(2) + 18601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4388731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:53 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20996 by -35.\nAnswer: 20996\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/7 + 52*m**2\/7 = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2519100 != -2519055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 454, 18 in decreasing order.\nAnswer: 454, 18, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 1. Let t(x) = -3*x**3 + 2 + 3*x**2 - 2*x**3 + 0*x**2 + 1. Let d be (-1)\/(-2)*(8 - 7 - -1). What is d*t(h) - 3*c(h)?\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -256.854 + 273.854. Let n be 0\/(-2) + (-2)\/(-15). Is o at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (332\/(-249)*(-1)\/4)\/(-5*88\/(-330)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**3 - 559*o - 1. Let w(l) = -2*l**3 - l**2 + 4*l + 1. Give -h(r) - 3*w(r).\nAnswer: -2*r**3 + 3*r**2 + 547*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10364 divided by -5182.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 159 = -3*o. Suppose -23 = i - 3*i - k, -4*i = -5*k - o. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - r - 11, w - 3*r = 13. Solve q - 7 = -w*d + 9, -q + 13 = 3*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*j + 2*j. Let t be (-5)\/(-10)*19*j. What is the highest common divisor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Suppose -a*b - 90 = 730. What is the common denominator of -59\/6 and b\/(-10)*(-2)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102200221 (base 3) in base 7?\nAnswer: 33604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 17. Let b be v\/(-10) - 36\/(-20). Let y(s) = -s - 3*s**b + s + 0*s. Let a(k) = 6*k**2. Give a(y(r)).\nAnswer: 54*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 50227363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -128*q - 131. Give n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0358888 + -0.3?\nAnswer: -0.2641112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -625*c**2 + 900*c - 324 = 0.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 124839.\nAnswer: 249678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51537 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.1286 millennia in years?\nAnswer: 509128.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p + 2 - 2 - 8 + 9 - 11. What is b(9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 69 = -3. Let n be 7\/o + 6\/33. Factor 0 - 1\/2*d**3 - 1\/2*d**4 + n*d**2 + 1\/2*d.\nAnswer: -d*(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/7)\/(i\/(i\/(((i\/i**17)\/i)\/i*i))*i) assuming i is positive.\nAnswer: i**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.57 + -5.57. What is the nearest to 1\/2 in -1\/9, -5, a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 343 + 10?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 - 0.1. Let r = -4 + 6. Let g be 11\/(-51) - r\/(-6). What is the second biggest value in m, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6032*k**2 - 6031*k**2 + 55*k**3 + 142*k**3.\nAnswer: 197*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 27*l**2 - 25*l - 9. Let m be g(26). Suppose m*i = 8*i + 36. Put -2, 10, i, 1 in decreasing order.\nAnswer: 10, i, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 10*i**3\/3 + 560*i. Let o(j) = 5*j**2 - 6*j + 6. Let x(q) = q**2 - q + 1. Let k(r) = -o(r) + 6*x(r). What is c(k(v))?\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*t - 1154 + 6754 = 0 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-16)\/f)**(6\/7) assuming f is positive.\nAnswer: f**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(2420) - (sqrt(20) + sqrt(80)*-4 - sqrt(20))))\/((sqrt(900) - -1*sqrt(900)*5) + sqrt(900) + sqrt(900)).\nAnswer: 19*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - t - 161, 5*d - 2*t = 160 + 42. What is the greatest common factor of d and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 890 divided by -19393\nAnswer: -890\/19393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 1 + 1 - 3 + 0 + 0 + 2 - 3 - 2 - 3 + 3 + 1 + 3 - 2 + (3 - 2 + 1)*(-1 + 0 + 3) - 2 - 5 + 6 - 5 + 3 - 1)*(0*q - 4*q + 2*q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/4 - l**3 - 266*l**2. Let f(k) = -2*k**2. Calculate q(f(g)).\nAnswer: 60*g**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 170136573 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 186694860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-6))\/(4\/(-12)). Let g = u - -32. Calculate the remainder when 65 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 4:48 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -23*o**2 - 6*o - 20. Determine r(-3).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385)*5 - sqrt(385) - sqrt(385)) + sqrt(385))\/sqrt(7))\/(-5*sqrt(500)).\nAnswer: -2*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1180 and 9381.\nAnswer: 187620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-44)\/(-242) + 416\/11)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88\/5 or 106?\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 1008?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13400322 and 5?\nAnswer: 67001610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -184 = -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 67\/2, 4\/7, -0.2423, 2\/153 in descending order.\nAnswer: 67\/2, 4\/7, 2\/153, -0.2423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Suppose -y = -a*b + 14 + 1, -4*y + 48 = 4*b. Suppose -g + 4*u + 2 = -1, 3*g + 3*u = b. Calculate the remainder when 8 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000061546 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/126*18)\/(1\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**2 - 2*m - 5. Let u(p) = -8*p**2 + 2*p + 6. Calculate -4*a(f) - 3*u(f).\nAnswer: -8*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) - 84\/(-10). Suppose 3*m + 15 = p*m. Suppose 38 = -s + m*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 - 21*p\/2 + 441\/4.\nAnswer: -3*(p - 7)*(p + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-7\/2)\/z)\/(z\/(z**3*z)))\/(z**6\/(z\/z**(1\/2))))**(-7) assuming z is positive.\nAnswer: z**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/6 - 3*j**2\/2 - 15*j. Let d be (-2 - 0\/(-3)) + 7. Let p be w(d). Sort -1, 0, p in decreasing order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n - 8 + 5)*(35*n**2 - 7*n**2 + 89*n**2).\nAnswer: -117*n**3 - 117*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63203240 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + g**3 + g**3 + (0*g**2 - g**3 + 0*g**2)*(-5 - 1 + 5) + 1 - 3*g**3 - 1)*(5*g - 2*g + 0*g).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -85670\nAnswer: 3\/85670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56845210 - 18234790. What is d rounded to the nearest one million?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + ((sqrt(208)*-2)**2 - sqrt(208)) + sqrt(208) + sqrt(208) + 4.\nAnswer: 8*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12002202211 (base 3) in base 2?\nAnswer: -11000100001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14418 + 14415. Which is the third smallest value? (a) 8 (b) w (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -23*m**2 + m**3 - 1 + 5 + 10*m**2 + 7*m**2 + 9*m. Find x such that v(x) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(171)*-1 - sqrt(19))*-6 - (2*sqrt(76) + 2 + 4))**2.\nAnswer: -45894 + 1680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -20803*p**3\/2 + 45*p**2\/2 + p + 15. Let q be c(5). What is q rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 + 139.9999332. Round q to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -361, -541, -721, -901, -1081?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163814 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-4*3*sqrt(80))**2 - (2 + sqrt(25)\/sqrt(5))*-2))*-3.\nAnswer: -34566 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -480.4 + 480. Which is the fourth smallest value? (a) -2\/9 (b) 0.4 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*a - 7, -4*x = -3*x + 2*a - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2\/5, 2\/9, 4398, -4 in decreasing order.\nAnswer: 4398, 15, 2\/5, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5849 - 5849 - 1472*a)*(9*a - 11*a - 8*a) in the form g*a**2 + o + s*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 893.717 + 0.283. Let j = -898.195 + f. Round j to one dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 - 178. Let n be q\/(-3 + 0 - 2). Is n greater than 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/14790 and -107\/5916?\nAnswer: 29580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058902 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*z - 21*z + 15. Sort z, 4, -4 in increasing order.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least as big as 10592352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30008, 29974, 29918, 29840, 29740, 29618, 29474?\n\"Answer: -11*c**2 - c + 30020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -1\/6*s**3 - 1\/2*s**2 + 0 + 48*s + 1\/4*s**4. Calculate k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1818 divided by 303.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 2, y: 2, k: 2, w: 8}. Give prob of picking 1 k and 1 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 0.2 (c) -3\/121 (d) 108 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 393, -1\/2, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*k - 10, 5*k = -4*p + 131. Solve -p - 45 = -14*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (29\/(-2))\/((-10)\/(-20)). Let x = 39 + g. Is x >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 (base 12) to base 6\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -107.51. Let y = o + -0.4900053. Round y to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9985 and -12.\nAnswer: -9997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 + 489*r - 4878\/5.\nAnswer: -3*(r - 813)*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j**2 - 585*j - 4508 wrt j?\nAnswer: 8*j - 585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9616, 19232, 28848, 38464, 48080?\n\"Answer: 9616*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 807537665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000001 + -1?\nAnswer: -10111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 - 3*q - 8. Let m be s(7). Let l = 54 + m. List the prime factors of l.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308900.\nAnswer: 2, 5, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(36))\/(4*sqrt(24)\/sqrt(4)) + ((sqrt(252) + 0 + sqrt(252) + sqrt(252))*-3)**2*-5*4.\nAnswer: -408240 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 844, 1899, 3376, 5275, 7596?\nAnswer: 10339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -13, -3\/4, -0.3, -495, -2?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*g - 2, -5*g - 12 = -f - 0. Solve -f*v - 3*v = 3*p + 1, -3*v - 3 = p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*j**3 + 115*j**3 + 7639*j - 7639*j.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*n + 2*i, 4*n = 11*i - 9*i + 20. Solve n*y - 4*y - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 31*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*r*z**2 + 180*r*z + 4*r - 10098*z**2 + 3*z wrt r.\nAnswer: -23*z**2 + 180*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 90\/653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -53, -2\/5, -2, -1\/5, -5\/6, 0.1, 4?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30457577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2210444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -41630670?\nAnswer: 41630672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(7)*2*2 - (sqrt(77)\/(sqrt(66)\/sqrt(6))*1)**2.\nAnswer: -7 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/9 - 26*v\/3 - 25 = 0.\nAnswer: -75, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201546 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 8\/7 (c) -0.05 (d) -3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f - 7*f - 5 + 3*f. Let d be i(4). Put 2, 3, d in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*l = 324, -4*l = -5*p - 2*l + 402. Let y = 52 + -16. Factor 2 + 64*f + 14 + 24*f**2 + y*f**4 - 11*f**4 - p*f**3.\nAnswer: (f - 2)**2*(5*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170582072 to the nearest integer?\nAnswer: 13061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3 - 4*v**2 + 3 + 2*v**2. Let b(q) = 4*q. Determine k(b(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 - 3*u + u**3 - 5*u**2 - u**2 + 3*u**2 - 1. Let o(x) = x**3 - 5*x**2 + 2*x + 5. Let g be o(4). What is j(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 (base 3) in base 16?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44436 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: Find the second derivative of -47081*o**2 + 1944*o - 6 wrt o.\nAnswer: -94162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67050)\/(-26) - (-17)\/((-1547)\/(-14)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 9. Calculate the lowest common multiple of -5*(1\/10)\/((-9)\/18)*8 and r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-252)*1)\/((-2)\/(-56))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4917828547 to the power of 1\/2, to the nearest integer?\nAnswer: 70127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 2:51 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c + 5*y = -65*c - 8, c = -4*y - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-2)*(-8)\/12. Suppose 3*w + 88 = 7*w. What is the highest common factor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:44 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mummumumumuoom. Give prob of sequence oo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*o, -5*o - 212 = -v - 37. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 2. Let t(w) = -w**3 + 3*w**2 - 7. Let h be 7 + (2 - (6 - 2)). Let o be 76\/(-95) - 6\/h. Give o*t(x) - 7*s(x).\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(68) + 1)**2.\nAnswer: 4*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -s - i, 4*s + 229 = 3*i - 40. Let t = s - -70. What is the remainder when ((-18)\/(-8))\/(1\/4) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*y - 20*y - 14*y**2 - 23*y - 24*y + 2 to the form v*y + t + h*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1452*z - 835 - 520 - 669 + 1474 with respect to z.\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5952)\/36 - 1\/(-3). Let a be 2\/(-7) - o\/(-35). Calculate the remainder when (a - -4)\/(3\/(-51)) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*m + 576, -3*m + 20 + 838 = -d. Let y(l) = l - 12. Let i be y(10). Calculate the remainder when (i - m\/6)*-2 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.7 + -12.72. Let v = 10 + -10.02. Let t = h - v. Is t > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19701.\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -4 - 4\/3*w**3 + 4*w + 0*w**2. What is the first derivative of h(o) wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16679 is divided by 5556?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/5*-6)\/((-4)\/(-20)). Calculate the greatest common divisor of i and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 8 + 26. Let p = o - -3. Let g = 28 + p. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let p(i) = 24*i - 13 + 21*i - 78*i + 30*i. Calculate f(p(v)).\nAnswer: -18*v**2 - 156*v - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/28)\/((-297)\/693)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1265772 and -47\/12024834.\nAnswer: 24049668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g + 58*g + 5 - 6 - 16*g - 17*g + 25.\nAnswer: -5*g + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/173 (b) -4 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42972393?\nAnswer: 3, 67, 439, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwdwwdddwww?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + -3 + -1 + -2*(sqrt(176) - (-2 + sqrt(176))))**2 + -1).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 19. Let y be (1 - 1) + (0 - -4). Suppose f + y = 3*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v. Let x(t) = -5*t. Let j(q) = 5*x(q) - 6*z(q). Give j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 34*c**2 - 70*c - 32. Let q = 385 + -417. Is p(q) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -0*y - 42. Let s = y + -8. Which is the biggest value? (a) 2 (b) -5 (c) 0.01 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1665, 2\/5 in decreasing order.\nAnswer: 1665, 2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-4400)*50)\/((-7)\/(-6))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*a - 119 - 13, 0 = -3*a - 12. Let v = b - 22. Suppose -4*u + 35 + 33 = 0. What is the remainder when u is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20723 rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5854?\nAnswer: 2, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2827, 5664, 8501, 11338, 14175, 17012?\nAnswer: 19849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 218?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 390*w + 3698. Let t be i(-9). What is the highest common factor of 8 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 20 = 0. Suppose -4 = p*m - 24. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -55237*v - 55240*v + 110474*v. Let b(a) be the third derivative of -5*a**4\/12 - 2*a**2. Calculate b(g(p)).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l**3 - 150*l**3 + 18*l**3 + 16*l - 4 - 2*l**2 - 98*l**3 - 17*l as g*l**3 + z*l**2 + i*l + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1321 and 6601037.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/35061 and 67\/3441?\nAnswer: 1297257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 3*p**2 - p + 2. Let q be k(-2). Let r(c) = 3*c**2 - 20*c - 42. Let u be r(-2). Sort q, u, 4 in descending order.\nAnswer: u, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -11*j**8\/56 - 3*j**5\/20 - j**4\/12 + 7*j**2\/2 - 98*j. Find the third derivative of x(v) wrt v.\nAnswer: -1320*v**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 49 + 25 - (-6 - 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1769a01 (base 12) to base 2\nAnswer: -10010100100110001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:42 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 82*a\/5 - 156.\nAnswer: -2*(a + 15)*(a + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y + 5*y)*(3 + 8 + 22) + (0*y - 2*y + 3*y)*(-2 + 2 - 1) + y - y - y.\nAnswer: 361*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 375035 or 375033?\nAnswer: 375035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -2 - (-1 + -10 + 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/9)\/r*r)\/(r*r*r\/(r\/r**(-1))*r))\/(r**(-5)*r*r\/r**(-1)) assuming r is positive.\nAnswer: r**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**3 - 474*n**2 - n + 52. Give x(79).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 - 82*b**2 - 62*b**2 + 281*b**2 - 62*b**2 - 62*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w - 105. Let d = -10 - w. Solve -2*k = -3*b + 2*k + 35, 4*b - k = d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/75 - 2\/15. Let q = -0.2 + -0.3. What is the second smallest value in -5, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/(10\/(-8))*-15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-3*-3 + sqrt(88) + 4*(sqrt(88) - sqrt(88)*-2))\/((sqrt(968) + 1*sqrt(968) - sqrt(968)) + sqrt(800)*-2 + sqrt(800)).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -3 - (-83 + 54 - 39).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13514\/31 + -436. Let x = -210023.5 - -210023. Sort r, 1, x, 0.2 in decreasing order.\nAnswer: 1, 0.2, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiazkfaa. What is prob of picking 1 f and 2 a?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.42247992 - -23.52248. Let j = -15 - -15.1. Let x = j - s. What is x rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*l**3 - 78*l + 2*l**2 + 78*l + (0*l**3 - 2*l**3 + 0*l**3)*(-4 + 2 + 1) + 0*l**3 + 4*l**3 - 2*l**3.\nAnswer: 30*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23363516, 46727037, 70090558, 93454079?\nAnswer: 116817600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = p - 4, 3*p - 6*v - 2 = -2*v. Calculate the common denominator of 3 + (-452)\/(-24) + p and 56\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 22. Let f be m(-6). Suppose -108 = -8*a + f. What are the prime factors of (-4852)\/60*-3 + 8\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 6 = -i - 70, -3*i + 6*i - 6*g = -2*g - 60 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 341 = 5*u, 4*u + 2*n + 116 = -154. Let v(f) = -14*f - 359. Let q be v(-31). Let d = u + q. Solve -5*o + 2*h = -d*o - 14, 2*h = o - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63859271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (45*(-35)\/(-42))\/(9\/3828)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -260664.6 to the nearest 1000.\nAnswer: -261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 3*r**4\/2 - 17*r**3\/3 - 10. Find the third derivative of b(z) wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 29. Let i = 5.05 + -23.0475. Let d = i - c. Round d to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*i = 100, -4*v + 9*v - 204 = -4*i. What is the lowest common multiple of 24 and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14796263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0 + 0*y**2 + 0*y**3 - 1\/30*y**4 + y. Solve c(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0 (c) -1 (d) 3 (e) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -131? (a) -58 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 - 24 - (3 - 40 - -54)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 4*t**4 + 5*t)*(2 + 1 - 4)*(2 - 2 - 1) + (1 + 2 - 4)*(30*t**4 - 87*t**4 + 31*t**4) - 79*t**3 + 28*t**4 + 79*t**3.\nAnswer: 58*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1901 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -454, -1009, -1784?\nAnswer: -2779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-39)*(-12)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/315 and -26\/385?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -31 (c) -3.93 (d) 2\/11 (e) -0.4 (f) 1 (g) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10a35 (base 16) to base 9\nAnswer: -113431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -8*j**5\/15 + 53822*j**2. Let w(p) = 3*p**2 - 2*p**2 + 2*p**2. Give w(s(r)).\nAnswer: 3072*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3097*i**2 - 3097*i**2 - 428*i**3 + 1126*i**3.\nAnswer: 698*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32.26*26\nAnswer: -838.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0 - 1)*-1. Let m = f - -2. Suppose 0 = -m*v + 5*p - 18, -v - 1 + 18 = 4*p. Is 3\/8 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11709 - -468441\/40. Calculate the common denominator of (-195)\/(-48) + -2 + 9\/72 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/17 (b) -0.2 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**5 + 32*u**4 - 72*u**3 + 108*u = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.50077365 to five dps.\nAnswer: -0.50077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 5*t**4 - t**3 + (-t**2 + 0*t + 0*t)*(-2 + 2 - 2*t**2).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 - (-2 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -15. Let x = -5 + q. Suppose -x*v - 50480 = 3*p + 97535, -5*v - p = 370005. What is v rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 212 + 760 + 83658*v - 83648*v as h*v + y and give y.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4\/5 + 13608*r**3\/5 - 203631*r**2\/5 + 168210*r - 651024\/5 = 0.\nAnswer: 1, 6, 8, 4521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqmqqmuqdme. What is prob of sequence ed?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47 and -31\/30447?\nAnswer: 30447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32045 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2. Let y(g) = 77*g**2 - 154*g. Let u(i) = -2*i**2 + 14*i. Let o(c) = -33*u(c) - 3*y(c). Give r(o(h)).\nAnswer: 81675*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-163944)\/(-23) + 56\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*g + 9*g. What is the smallest common multiple of g and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/7984 and -79\/3992.\nAnswer: 7984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28*((-1155)\/49)\/(-5). Suppose -85 - 71 = 4*a. Let f = a + p. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45523879 to the nearest integer?\nAnswer: 6747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6)*(-14 - 1240)\/11. Suppose -1 = b, j - 4*j = -3*b - 18. Suppose 0 = 3*l - j*h - 337, u = l + 5*h - 41. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t**2 + 13*t + 7. Let m(u) = -10*u**2 - u + u - 4 + 3*u**2 - 7*u. Let d be 2 + -1 + -2 + 17. Suppose 5*x - d - 14 = 0. What is x*w(l) + 11*m(l)?\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(5 + 5 - 6)*(-48 + 48 + 8*z) + 3*z - 2*z + 0*z.\nAnswer: 97*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-39)\/18*-6*(-80)\/(-176)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ielennlhnbilbbni. Give prob of sequence eihi.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19744303 is divided by 282?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 425*p**2 - 249 + 66 + 436.\nAnswer: -425*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*x - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(5) + -1))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 7:14 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 174\/36 - (-1 - -16)*(-23)\/(-414). Suppose -3*g + 6 = 15. Let d(q) = -5*q. Let i(j) = -5*j. What is g*i(v) + r*d(v)?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5 + 1171*u**4\/2 + 2733*u**3\/2 - 11543*u**2 + 11198*u + 3540 = 0.\nAnswer: -6, -1\/4, 2, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 27*u**2 - 162*u - 26. Calculate t(10).\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 30265.\nAnswer: -7\/30265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*q - q - 4 = 0, -25721*u = -25717*u + 5*q + 6 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337*b*r**4 + b*r**3 + 16*b*r**2 - 62525*b - 451*r**4 wrt r?\nAnswer: 8088*b*r + 6*b - 10824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 3*z**2 - 3*z - 3. Let q(h) = -h**3 + 2*h**2 + 2*h + 2. What is -3*q(s) - 2*y(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by -150.\nAnswer: -179\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 4, 5, -188, -1, 1 in decreasing order.\nAnswer: 5, 4, 1, -1, -69, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) + -1 - -55. Suppose 5*a + 2*d = 90, -5*a - l = 5*d - 161. Let p be 18 + -1*(-2 + 4). Calculate the greatest common divisor of p and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155*g - 573*g - 573*g = 171, -4*r - 2*g = -18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, -5, -23, -43, -65?\n\"Answer: -w**2 - 13*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 3*u = -w - 66, 255*w - 9*u = 508*w - 253*w for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**7\/252 + 7*d**6\/180 + 17*d**5\/40 + 101*d**4\/72 + 41*d**3\/18 + 2*d**2 - 6*d + 129. Factor l(u).\nAnswer: -(u - 12)*(u + 1)**3*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*v = -418*v + 50460 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/492 and -79\/28?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3631 (base 8) to base 15\nAnswer: 89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2627*f + 118*f**2 - 2627*f to s*f + v + t*f**2 and give t.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/52521 and 55\/24.\nAnswer: 420168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/232192 and 97\/96.\nAnswer: 696576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3\/4 + 143637*o**2\/4 + 35904*o - 215451 = 0. What is o?\nAnswer: -47878, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**3 + 105*g - 57*g - 50*g to the form j*g**3 + t*g + i*g**2 + u and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991577 is divided by 165192.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7))**(-19)*(c\/(c**2\/c))**(2\/9))**5 assuming c is positive.\nAnswer: c**(-475\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/15 and 69\/35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*i - 43 - 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3529.614 + 3530. Put s, -1\/6, 5, -5, -1 in ascending order.\nAnswer: -5, -1, -1\/6, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93901337.\nAnswer: 93901337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 699 + -699. Suppose 5*f + 20 = v, -1974 = 3*b + 4*f - 8921. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136049*-4\nAnswer: -544196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 1. Let f be 1*4*1\/4. Let v be g(f). Suppose 5 = -x - 0*a + 3*a, v*x + 2*a = 14. Solve -i = -x + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.6 and -0.1217.\nAnswer: 1.4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1085 - 1057. Let m(s) = s**2 - s - 4. Calculate the remainder when u is divided by m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80190 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16349*1\nAnswer: 16349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001755 rounded to 5 dps?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -20. Let p = -5 + t. Solve c = -3*c - p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -p + 5*u, 4*u + 64 = -4*p - 32. Let s = 28 + p. Suppose s*y + 2*k - 2 = 62, 4 = -4*k. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2)\/(1\/4). Suppose c*i - i = 6. Suppose 165 = 3*q + i*q. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2675, -2131, -1591, -1055, -523?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*d + 156 = 155*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5))**(-30)\/(t**(-6)*t**10*t))**(2\/39) assuming t is positive.\nAnswer: t**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279 - 403 + 143 + 161)*(-3*t + 0*t + 5*t).\nAnswer: 360*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 44*u. Let o = 123 + -101. Let v be q(o). What is the common denominator of v + ((-140)\/48 - -4) and 49\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -43. Let l(h) be the second derivative of 0*h**3 + 1\/15*h**6 + 0*h**5 - 1\/4*h**4 + 0 + 0*h**i - 2*h. What is the third derivative of l(g) wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a4 (base 11) in base 7?\nAnswer: 15452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 10*s + 324 = 0. Let w = 319 + s. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/6 - s**5\/2 - 5*s**4\/12 + 41*s + 1. Factor l(k).\nAnswer: -5*k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1000)*5*3)\/(sqrt(32) + sqrt(800) + sqrt(40)\/(sqrt(15)\/sqrt(3))))**2.\nAnswer: 112500\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 351, 681, 1001, 1305, 1587, 1841?\n\"Answer: -k**3 + k**2 + 334*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1145113545 - -3?\nAnswer: -1145113542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7874, -15746, -23618, -31490?\nAnswer: -39362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:27 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*g**3*i + 12*f**2*i**2 - 24*f**2 + 155*g**3*i**2 + 3*g**2*i**2 wrt g.\nAnswer: 18*f**2*i + 930*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -17100.\nAnswer: -85500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10850 and 23250.\nAnswer: 162750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*d - 24. Suppose -5*g + 15 = -3*x, -4*x = -d*x + 20. Suppose 2*t - g*t = -4. Let r(o) = -5*o**3 - o**2 + 2*o - 1. Give r(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2643, -5263, -7871, -10461, -13027, -15563, -18063, -20521?\n\"Answer: n**3 - 2627*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89.1 - 2.1. Let q = -86.8722 + k. Let u = -0.13 + q. Round u to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -4.05. Let j = h + -6. Let c = 4.78 + 0.22. Sort j, 2, c in descending order.\nAnswer: c, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 3*y**2 - 4*y**2)*(20*y**2 - 57*y**2 - 14*y**2) - 2*y**4 + 2*y**4 + 3*y**4.\nAnswer: 54*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2*d + 12*d + 5*x + 2 = 3*d, 21*d = 4*x + 142 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*w - 43. Suppose 0 = w*l - 4*u - 35, -4*u - u - 28 = -l. Solve -l*v + v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335297 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-360)\/(-32) - 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52480 and 322560.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 421130 - 109118. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:21 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbebbbebvbeiebveibe. Give prob of sequence ev.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 52 = -9*r, 5225*r - 38 = 5227*r + 2*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 513 + 4*i**4 + i + 59*i**4 - 255 + 3*i**4 - 261 in the form m*i**3 + p + f*i + r*i**2 + b*i**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t + 187. Let x be h(14). Solve -x*a = -20*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 8 = -12. Let p(t) = 2*t**2 + 723*t + 6349. Let q be p(-9). Sort q, -6, j, 5.\nAnswer: -6, j, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 2*d + 3. Calculate n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/480)\/(1\/2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(120)\/(sqrt(24)*-2))**2 + 4 + (sqrt(180) - (sqrt(180) + 2 + sqrt(180) + sqrt(180) + -3))).\nAnswer: -75\/2 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -19. Let u be p\/(-4) + 146*-2. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3150\/(-125))\/((-6)\/15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4265*k**3 + 25*k**2 - 275*k. Let h(b) = -b**3 - b**2 + 11*b. What is -100*h(p) - 4*u(p)?\nAnswer: -16960*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373036089 a multiple of 1787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 41*p + 626484 = 38*p. Calculate the greatest common factor of 153 and p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1728.1 - -1728. Sort y, -10.4, -1, -3 in increasing order.\nAnswer: -10.4, -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) -1\/3 (c) 5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (207 - -21)*6\/4. Calculate the highest common factor of w and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20777 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (0 + 5 - 0) - (-16 + -13).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 b when four letters picked without replacement from {x: 4, n: 4, b: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4107 is divided by 1366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 19*p + 407. What is f(32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 572, 1146, 1720, 2294?\nAnswer: 2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 - ((-2472)\/4 + (-15 - -13)) and 2.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/180 and 97\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3756 or 140\/277?\nAnswer: 140\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5*q + 3. What is p(9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 513 by -9.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 smaller than 963.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329039460?\nAnswer: 2, 3, 5, 59, 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdu when three letters picked without replacement from ddduuuuuhdudddd.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4065.000007612 + 4065. What is o rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -680\/31 + 22. Let q = f - -48\/217. Suppose 2\/7*l - 6\/7 - q*l**3 + 6\/7*l**2 = 0. What is l?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/4 + 11*n**3\/3 - n**2\/2 - 9*n + 3. Let v be l(-11). Suppose -3*t - g + 640 = 0, -3*g + v*g = 2. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 - 1)) + (-6 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/17)\/(o*o*o**20\/o))\/(o**(-2\/27)*o**(-6)\/o) assuming o is positive.\nAnswer: o**(-6338\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 405177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:50 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -6. Suppose -13*g - 46 + 111 = k. Solve -g*x + 1 = -6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + t = 2*i, -2*t = -5*i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - p = p + 16, 0 = -z - 5*p - 18. Let f = 24 - 23. Find the first derivative of -z*r**3 - 4 - 1 + f wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 1700438 = -7979656. Let c = -201519 - o. Round c to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - 140. What is the smallest value in -0.03, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, w: 12}. What is prob of sequence ww?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352 (base 6) to base 4.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 214*f - 1973*f - 1361*f + (-3 + 2 + 3)*(0 - 2*f + 0) - 2*f + 2*f + 2*f.\nAnswer: -3122*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75676.\nAnswer: 2, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*3*(8\/6 + -3). Let c be 106\/10 + (12\/q)\/(-2). What is the greatest common factor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e7 (base 16) in base 3?\nAnswer: 200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4948 (base 12) to base 11.\nAnswer: 6233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:05 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905.5778g to nanograms.\nAnswer: 905577800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 - 430*l + 428 = 0.\nAnswer: 1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/303239081 and 23\/5?\nAnswer: 1516195405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(136)*-2 - sqrt(136)*1*6)*6)\/(3*(1*sqrt(72)*-2)\/sqrt(9)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 34\/46591 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*1)\/sqrt(2).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41a - -2144?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 336505 - 2?\nAnswer: 336503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -133*y - 699. Is u(-12) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 31*p + 11 - 6 - 7512*p.\nAnswer: -7481*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390\/281 <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 109. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/7 (b) -26 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 10) in base 12?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.25, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 249, 632, 1269, 2160, 3305, 4704, 6357?\n\"Answer: 127*x**2 + 2*x + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b7b + 2?\nAnswer: 6b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/11)*s)\/s)\/(s**(-4)*s)*((s*s\/(s*s**0\/s))\/s)**(-1\/39)*((s**2)**(-1\/49))**(6\/5) assuming s is positive.\nAnswer: s**(326582\/105105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-23)*14\/(-84)*-6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 0.3851705\nAnswer: -0.011555115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 658\/443?\nAnswer: 658\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 11*2\/22*427*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i. Let z(x) = 65*x**2. What is z(s(w))?\nAnswer: 9360*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/11 + 8992*s\/11 + 90120\/11 = 0. Calculate s.\nAnswer: -10, 4506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p + 13. Let a = 8 + -6. Let r(g) = 3*g + 6. Suppose 15*h = 17*h + 10. Give a*u(v) + h*r(v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:29 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 12. Let o be q(0). Let l = 21 + o. Let w = -4 + l. What is the remainder when 7 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18*y - 3. Let n be f(1). Solve 0*x - 5*x + n = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 2, -0.1, 3\/4, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.032? (a) -1 (b) -89 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*y = 8957, -12*k + 2225 = -11*k - 4*y. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1156222383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by (70\/4)\/(297\/(-22) + 14).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101011 (base 2) to base 10.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g, -4*g - 74 = q + 2*q. Suppose 9*d - 11*d - 6 = 0. Put q, d, -4 in ascending order.\nAnswer: q, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*c - 65*c + 20. Solve -4*u - c = -2*m, -3*u = -5*m + 7 + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 6*q. Let p be 3 + -3 + 3 + 1. Suppose 5*f - 8 = 4*h, 2*f + p = f - 2*h. Suppose f = 5*n - 3*o + 16, -8 - 5 = 2*n + o. What is w(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/7 - 16593392*s\/7 + 82967060\/7.\nAnswer: -4*(s - 5)*(s + 4148353)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7101 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w - 1 - 20*w + 7*w.\nAnswer: -25*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 218 + 68 = 146 + 70 for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4 + 2. Let w = -17 + 24. Let y be i\/w - (-6)\/7. What is the second biggest value in 5, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 791070 and 210952.\nAnswer: 3164280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301064729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 13 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -114?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 193448.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 0 - 216. Let y be p + -3*(-3 - -1). Put 2, y, 3 in decreasing order.\nAnswer: y, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**5\/60 + r**4\/8 + 5*r**3 + 4*r**2. Let x be k(7). Solve -x*b = 3*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l + 140. Let k(o) = 9*o + 91. Let y(f) = 13*j(f) - 20*k(f). Let x(v) = 23626*v**2. Determine x(y(a)).\nAnswer: 94504*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rowjpjd. Give prob of sequence djrj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(33*z - 9 + 26 - 9).\nAnswer: -66*z - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*f + 4*f = 13933, f + 8353 = 3*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d - 33 - 1 = 0. Let w(b) be the second derivative of -b**2\/2 + b. Let s(u) = -5*u**2 + 8*u + 6. Let z(v) = d*s(v) - 2*w(v). Factor z(l).\nAnswer: (l - 2)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**5\/20 - f**4\/2 + 5*f**3\/6 + 4*f**2 - 4*f. Let y be t(6). Is (-3)\/(-2)*y\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*w**4 - 62*w + 334*w - 24*w + 10*w**4 wrt w?\nAnswer: 216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 876, 1748, 2618, 3486, 4352, 5216, 6078?\n\"Answer: -v**2 + 875*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -8.953. Let j = 0.046924 - m. Round j to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwn when three letters picked without replacement from {w: 1, h: 1, n: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - p = -14, 5 = 4*p + 1. Let t = w + 18. Let s(g) = 5 - t + 5*g. Let k(c) = -3*c**2. Calculate k(s(i)).\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 8. Let t(w) = -2*w + 2. Let j be t(v). Suppose j*h = -3*n + h + 157, -3*n + 151 = 5*h. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2243a14 (base 12) to base 10\nAnswer: -6559216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3596555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -12*p - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2190375 and 283500?\nAnswer: 183991500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/102)\/(17\/(-34))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/28)\/(84\/112).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2205, 9, 3.\nAnswer: -2205, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -14*s + 23*s. Let k(b) = -b**3 - 4*b**2 + 13*b + 11. Let o be k(s). Suppose -12*l = -o - 139. Calculate the lowest common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29387938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 1841, 4157, 7399, 11567, 16661?\nAnswer: 22681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Let y = -1 + 9. Let g be (y\/28)\/((-8)\/(-14)). Which is the closest to -0.1? (a) -0.1 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 127 = -8*i. Suppose 0 = q + 1. Let t = q + 5. Solve 5*a + i = t*g, -2*a - a - 4*g + 23 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 10*f**2 + 10*f + 12. Let u be p(-9). Suppose -3*k - u*s + 51 = 0, 3 = s - 0. Solve 5*x - 12 = 2*j - 1, -4*j = 2*x - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3128 - 3128. Sort d, -2, -1, -66.\nAnswer: -66, -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -197*g + 42 wrt g.\nAnswer: -197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 869 and 13398953?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2190495 is divided by 1449.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 730463?\nAnswer: -730463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -214401 (base 5) to base 11\nAnswer: -5687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41975*n**2 - 12*n*z + 89*n + 72976078*z wrt n.\nAnswer: 83950*n - 12*z + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 1310*u - 1305*u + 7, 2*g - 34 = -4*u for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -602 + 1239. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 - 29*s**2 - 41*s - 236. Calculate c(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 496*c - 1070*c + 522*c + 27*c**3 to the form t + b*c**3 + z*c**2 + a*c and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957 - 357 = -10*z - 40*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*o + 3*o**2 - 939*o - 62*o - o**2 + 36*o + 35*o + 39*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17836415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3286927, -4, 1 in ascending order.\nAnswer: -4, 1, 3286927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967 is divided by 494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17226 divided by 6\nAnswer: -2871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.90018 + -1.9. Round o to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/13 (b) 11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 3*p - 8*p + (-p + 0*p + 0*p)*(-1 + 1 + 1) + 2*p + 0*p + p + (-50*p - 84*p + 82*p)*(0 - 3 + 1).\nAnswer: 100*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-8))\/(290\/232).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2351 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/y**(-4\/5)*y))*y*y**(-6\/5))**(8\/5)*((y\/((y**(1\/8)\/y)\/y))\/(y\/y**7))**(1\/8) assuming y is positive.\nAnswer: y**(10991\/1600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from jbjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 23*z + 1. Let g be b(-1). Suppose 10 = -3*x + 34. Let j be -21 - (x + -4 + -3). Is j < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c6c5 (base 15) in base 4?\nAnswer: 202332311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b - 2)*((-2 + 2 - 1)*(-1 + 4 - 2) - 4 + 0 + 2 + 44 - 39 - 156).\nAnswer: -308*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -247 < -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 14. Let k = x - 12. Let i(o) = -o**3 + o**2 - 1. Let b(u) = 4*u**3 - 3*u - 1. Let t(c) = b(c) + 3*i(c). Determine t(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 1. Let u(k) be the second derivative of k**3\/6 - 3*k. Let n(c) = g(c) + 6*u(c). Differentiate n(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 - 12) + (-93 - -1) + 193 - 10?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 10211?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -6*((-68364)\/24 - 14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2060, 4123, 6186, 8249?\nAnswer: 10312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 10) in base 6?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00493609 to 5 dps.\nAnswer: -0.00494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 1\/4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12064\/(-312) - (2 - 16) and 4\/(-14) - 1550\/(-84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 = -15*y + 16*y. Suppose 5*f - y = -103. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -7*l**5\/12 - 15*l**3\/2 + 88*l**2. Let v(a) be the first derivative of g(a). Let p(w) = -w. Give p(v(k)).\nAnswer: 70*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973, 972, 971?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-143)\/(-13) - -74*3\/(-54).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10745\/117 - 1113\/13. Calculate the common denominator of -58\/21 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2. Let x(j) = 78849592*j**2. Calculate x(p(s)).\nAnswer: 709646328*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7057784 and 19338?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16552 (base 9) to base 13.\nAnswer: 524c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 35 + 10. Let d(z) = z + 6. Let j(x) = 3. Let l(b) = t*d(b) - 5*j(b). Give l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5830225, -11660491, -17490757, -23321023, -29151289?\n\"Answer: -5830266*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 733 + -1?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3999524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 40. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**2 + 2452*q**3 - 1202*q**3 - 1213*q**3 - q in the form k*q**3 + c*q + t*q**2 + w and give k.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67.5398 + -4.4602. Suppose -5*q = -q - 16. Which is the nearest to w? (a) q (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/17250500 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 12*k + 5*k)*(-43*k + 47*k + 124*k).\nAnswer: 2560*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -2568, -1 in increasing order.\nAnswer: -2568, -11, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151818?\nAnswer: 2, 3, 25303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7667506.\nAnswer: 2, 7, 11, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:19 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12 - 4. Let n = -1860 + 3627\/2. What is the common denominator of n and -2 - (-1)\/(f\/61)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**3*w - 17*i**2*w + 798*w wrt i.\nAnswer: -18*i**2*w - 34*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144\/25 + -6. Suppose -19*h - 9 = -22*h - 2*p, 11 = 2*h + 3*p. Which is greater: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from nnfljjfnjqjnnjjnfnj?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/60 - 33*u**2 - u + 5. Let f = -16 - -10. Let n(h) = 7*h**2 + h + 1. What is f*x(t) - n(t)?\nAnswer: -t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -50945 * 12\nAnswer: -611340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573)*3)**2 - (1 + (sqrt(13) + sqrt(52)\/sqrt(4) + -4 - sqrt(13))).\nAnswer: -sqrt(13) + 56631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 7*c + 15 = 0. What is the units digit of (-1010)\/c + (-6 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80)*-3*-3 - sqrt(80)))\/sqrt(8)*4)\/((-5*sqrt(270))\/((sqrt(54)*-1 - sqrt(54))\/sqrt(9))).\nAnswer: -56*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 58*b - 91 - 21 = 61*b + 59, d + 110 = -2*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*k = -5, -4*a - 257 + 267 = 2*k. Let t(n) = 7*n**3 - 4*n**2 + 3*n + 3. Give t(a).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 7. Calculate the smallest common multiple of 5 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190265430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -17451560 to the nearest one hundred thousand.\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(-1\/11)*q*q**(6\/7)*q*q*q*q*q**(-1\/3) assuming q is positive.\nAnswer: q**(5083\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4420, 8899, 13446, 18067, 22768, 27555, 32434, 37411?\n\"Answer: h**3 + 28*h**2 + 4388*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*r - 4*w, -6*r + 3*w = -2*r - 19. List the prime factors of r\/((-33)\/12 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 94*q**2 - 277*q + 254. What is the units digit of j(90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2, 261226592?\nAnswer: 261226592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-5)*(2 + -12). Let x(a) = -a**2 - 5*a + 3. Calculate the smallest common multiple of s - -4 - (2 + -1) and x(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91, -141, -181, -211, -231?\n\"Answer: 5*r**2 - 65*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5763?\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1432 divided by 358.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10983 + -10984.5. What is the third smallest value in -3, -0.7, f?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 - -241. Suppose 0*c = 4*c - o. Suppose -2*z + c = 1. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(500)\/sqrt(10)*-3)\/(sqrt(1000)*2).\nAnswer: -2 - 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-4))\/((-3)\/6). Let c(o) = -3*o - 9. Calculate the remainder when -1 + 34 - 1*-2 is divided by c(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19235, -19236, -19237, -19238, -19239?\n\"Answer: -o - 19234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -348*u + 73*u + 2130 + 345 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/29)\/(20840\/(-9367580)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-588)\/(-1568)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -29838*t + 11905379. Determine o(399).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1245, -3528, -6847, -11202, -16593?\nAnswer: -23020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 4*y)*(-y - 8*y**2 + 9*y**2 + 3*y).\nAnswer: -3*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 + 8*s - 6. Let b be c(6). Let l = b - 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 5*i + 6. Let d be b(-4). Let l = -195 + 1363\/7. Let y = 449 + -448.7. Sort l, d, y in decreasing order.\nAnswer: d, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 + a. Let l be h(-1). Let b be l\/((-15)\/84) - 0. Is (-736)\/b - 4\/14 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8242729 - 5\nAnswer: 8242724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 3294 = 84*r - 16*r - 31*r for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -318190 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 21, 5 in descending order.\nAnswer: 21, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:28 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b + 29. Let n be x(-9). Which is bigger: n or 63?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85)*2 + sqrt(85))*5*3)\/((sqrt(605) - -2*sqrt(605)) + sqrt(605) + sqrt(5) + sqrt(405) + sqrt(405)*2).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y\/(y*y**(2\/11))*y*y))\/y*y)**7)**50)**(-19) assuming y is positive.\nAnswer: y**(133000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 11*z - 23. Let b be y(6). Suppose b - 13 = -3*u. Solve -4*d = 2*w + 4, w + 1 = -d - u*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 904\/(-40) + 23 + 36\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**3 + 4648*r**2 - 1501916*r + 101198552 = 0.\nAnswer: 91, 442, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19424234 and 8830?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppnnppppppnnppp. Give prob of picking 2 n.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24398*y + 5094*y + 74 - 21.\nAnswer: 29492*y + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488376263 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*c**5 - 91*c**4 - 7*c**2 - 2*c - 27467 wrt c?\nAnswer: 4160*c**3 - 1092*c**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 1, s: 3, r: 1}. What is prob of picking 1 k, 1 j, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -2\/9, -6, 5, 3, -0.79, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 113240?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914429853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -23741 - 259. Suppose 5*t = 8*t + g. What is t rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - j, 3*j + 5 = -0*q + 5*q. Let s(h) = -1. Let c(k) = k**3 - k. Give q*s(y) - 2*c(y).\nAnswer: -2*y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -16, 2 in ascending order.\nAnswer: -16, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 100. What is the remainder when 151 is divided by p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2 + 44681*c + 12957 wrt c?\nAnswer: -4*c + 44681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.34 + 0.66. Sort p, -8, -0.5 in increasing order.\nAnswer: -8, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 9. Suppose 0 = -5*v + 3*v + 22. Calculate the remainder when v - (-2*2)\/4 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(-5)\/(100\/16). Factor l - 4 + 0 + 3*d**2 + 2 - 9*d.\nAnswer: 3*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -1201 - 845. Let v = 1291 - o. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 93. Let f = 13 + y. What are the prime factors of f\/(-2) - 2 - -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25487 + -25493. Put 164, -3, v, -2, -1 in descending order.\nAnswer: 164, -1, -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6.9. Which is the closest to s? (a) 1\/11 (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/330 + 25*b**4\/66 - 487*b**2. Determine o, given that p(o) = 0.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 2, k: 7, x: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5377193 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 0.3, 0.039, 4.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*p**2)*(9 - p - 9).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 6*y**2 + 7*y + 9. Let n = -27 - -51. Let k = -21 + n. What is the smallest common multiple of c(7) and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241640.55 months in centuries?\nAnswer: 201.367125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 47. Let w be g(9). Let l(i) = 11*i + 6. Let r be l(15). Let q be ((-6)\/w)\/(r\/(-532)). Which is the second biggest value? (a) 2\/5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(108) - (sqrt(108)*-1 - sqrt(108))) + sqrt(3)).\nAnswer: sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-117)*(-6)\/4)\/(36\/54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7871524 centuries?\nAnswer: 0.07871524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 - 6*h**5 + 4*h**5 + (2 - 4 + 4)*(6*h**5 - 2*h**5 - 3*h**5) - 6*h**5 + 4*h**5 + h**5 + 3*h**5 - 6*h**5 + 4*h**5.\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 9, 3, -0.1 in decreasing order.\nAnswer: 33, 9, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21680 * 1.5\nAnswer: 32520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 w when three letters picked without replacement from vmvgwmmwm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let w be y(-4). Suppose -w*m - 3 = 4*r - 3*m, 2*m = -6. Suppose 3*a - a + r*d - 20 = 0, a - 4*d + 12 = 0. Solve t = -a*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/((-931)\/(-114))*7\/((-105)\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -19, -3\/5, 5, 0.5, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 51*p**2 - 60*p - 496. Suppose 0 = 4*h + 4*y - 864, -2*y + 65 + 153 = h. Calculate the smallest common multiple of h and u(-50).\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36433, -36362, -36285, -36202, -36113?\n\"Answer: 3*m**2 + 62*m - 36498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 22 = -2*m - 4, 12 = -4*m. Let s be (z + 61)*(-4)\/(-3). What is the greatest common divisor of 342 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 1. Let m(x) = x**2 - 8*x + 9. Calculate the remainder when g(3) is divided by m(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 127, 209, 307, 427?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33981 is divided by 192.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 122936.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - (-3 - 5) - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let m be i(-8). Let t = m + -7. Let k be ((-5)\/((-20)\/t))\/6. Is 1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8004 + 8935. What is the highest common factor of i and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215\/3 + 72. Factor 0 + w*a**2 + 1\/3*a.\nAnswer: a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120091940 to the nearest integer?\nAnswer: 10959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11830 and -18\/455?\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*y = -0*y + 10, 0 = -p + 3*y - 11. Is 1\/(1*p\/(-106)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 97866.87 micrometers?\nAnswer: 97.86687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 597\/28778 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4854?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(14\/(-20)) + 2. Let v(j) = -29*j + 19. Is v(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.7 + 0.3. Let i = -115 + 105. Let m = i + z. Which is the smallest value? (a) 0.4 (b) -1.2 (c) m (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 2*t = -245. Suppose -5*c - 4*i + t = 0, -9*c + 4*c = i - 50. Let v be (5 + 1 + 0)*2. Solve v = -z - 3*u, 3*z = z + u + c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -808080.\nAnswer: -1\/20720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54492443.\nAnswer: 54492443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*a + 9. Let u(m) = 40*m + 3. Let q be u(3). Suppose d + 32 = t, 3*d = a*t + 4*d - q. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131024858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 102*g - 772. Calculate j(-110).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 80*w - 1283. Determine b(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/2 + 4681*f**3\/2 - 21019*f**2 - 23360*f = 0.\nAnswer: -1, 0, 10, 4672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x - 16 = 593 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 16*h**2 + 39*h - 206. Determine u(16).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, x: 1}. What is prob of sequence pxpp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o + o - 18. Let w = -2 + 2. Solve -10 = -w*x - o*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 69*j**3 + 14*j**2 + 60*j + 68. Let y(k) = -62*k**3 - 13*k**2 - 58*k - 67. Let a(g) = 9*h(g) + 10*y(g). Determine a(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n. Let u(z) = -116982545*z**2. Give u(i(k)).\nAnswer: -467930180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 11. Let q be y(-8). Put 4, -5, -4, q in decreasing order.\nAnswer: 4, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i - 20. Let d be f(4). Suppose -25*o + 27*o = d. What is the smallest common multiple of o and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -661 + 2249*t + 1336 - 675 as o*t + p and give o.\nAnswer: 2249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*u + 174. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 - 3*o. Let n be w(-2). Let a be ((-4)\/n)\/(1\/5). Suppose 3*q - a*z = 709, 4*q - 300 = -z + 627. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*y + 0 + 0)*(-2*y - 1 + 1) + (2*y + 4*y - 4*y)*(-y + y - 2*y) + 2*y**2 + 2*y**2 - 2*y**2)*(6 + 1 + 0)*(1 - 2 + 4) as r + h*y + u*y**2 and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r**4\/r)\/r*r)\/r*r\/r**(-22\/5))\/(r**(-1\/32))**16 assuming r is positive.\nAnswer: r**(89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-30)\/8 - (-6)\/(-8). Solve 4*w = -4 - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Let a(y) = -y - 5. Let o be a(-5). Suppose -d*b + o*b = -28. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12943920623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*v + 3, -r = v - 0*v + 1. Let d = r - -2. Let a be 68\/24 - 3\/(-36)*d. Solve a*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*v + 81*v**2 - 37*v**2 - 30*v.\nAnswer: 44*v**2 - 65*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41 and -0.3214.\nAnswer: 40.6786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 728*s*z**6 + 2*s*z**5 - 2*s*z - 149*z**2 wrt z?\nAnswer: 87360*s*z**3 + 120*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3*j**2\/2 - 16*j - 1. Suppose 35*z - 105 - 140 = 0. Calculate the smallest common multiple of 10 and c(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + -214. Let p = -76 - x. Suppose -218 + 608 = p*v. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105739.\nAnswer: 41, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22266 by 3.\nAnswer: 7422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -14. Let a = -8 + 5. Sort a, 0.1, y.\nAnswer: a, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 2, x: 1, k: 3, n: 2, h: 9}. Give prob of picking 1 k, 1 h, and 1 n.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 25. What is y(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.467 * 1610.\nAnswer: -21681.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + 140. Let u = o + -517. Let y = u - -180.00000091. Round y to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3037 = 749. Let j = -12028\/21 + n. Let r = -12174 + 511379\/42. Calculate the common denominator of r and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 13. Let u be v(-9). Let g = 5 - 1. Suppose w = -1 - 2, -2*r = -g*w - 4. Which is the closest to 1? (a) -1\/6 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-1*sqrt(684)*-4 - sqrt(684)) + sqrt(684))**2 - (sqrt(684) + -4*-3*sqrt(684)) - (sqrt(684) + -1 + 0 + 1)).\nAnswer: -84*sqrt(19) + 10949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.147 - -62.147. Let j = -5488.86 + 5549. Let i = s - j. Round i to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 + 7*u**3\/6 - u**2\/2 + 5*u - 20. What is k(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 357 + 168 - 1118 + 294 + 299.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - g + 2. Let q(u) = u**2 + u - 2. Give -4*a(k) - 3*q(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 4:22 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 = 3*q, -8*q - 4*g = -4*q + 8. Let w be (2 + -5 - q)*-131. Is w less than 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.044.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -1)\/(-2)*6. Let i = 11 + v. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + 3 + 3 - 2 + (-2 + 6 - 2)*(-1 + 0 + 0) - 1 + 4 - 2 + 14 + 14 + 12)*(u**4 - u**2 + u**2).\nAnswer: 41*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -623\/465 + 1\/155. Let n = -4 - 1. Suppose -4*g + z + 39 = 0, 3*z = -g - 4*g + 70. What is the smallest value in n, g, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18782928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 2*s - 26 = 5*y, -14 = -2*s + 5*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-9*(-6)\/4. Factor -32*z - 10*z**3 - 13*z - n - 36*z**2 - z**4 - 9*z.\nAnswer: -(z + 1)*(z + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(10\/(-15)*3*-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.9573 or 316\/9?\nAnswer: 316\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1510*i**2 - 544*i**2 + 1066*i**2.\nAnswer: 2032*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11692 is divided by 729.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 >= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (0 - (4 - -1))*16\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911909 is divided by 455945?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2786.19649 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from fffffifi?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 0 + 3 - 3 - 12*l as t*l + r + j*l**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 455\/(-130)*(-5)\/7. Let d(h) = h**3 + 13*h**2 - 16*h - 15. Let m be d(-14). Let i = m - 13. Which is the closest to -4? (a) -1 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.496 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l + 123. Let j(y) = -y**3 + 14*y**2 + y - 29. Let r be j(14). Let v be i(r). Factor -4\/7*d + 8\/7*d**2 + 4\/7*d**v - 8\/7.\nAnswer: 4*(d - 1)*(d + 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/21*(48\/90)\/(-8).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2 + (-1 - -1)). Let h = 888682 - 888683. Let s(u) = -5*u - 1. Let x be s(2). What is the biggest value in x, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 14 + 30. Let a(h) be the second derivative of -h**3\/2 + 4*h**2 - 165*h. Determine a(w).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0527 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.65.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 83 - 288 = 0. Suppose 16*y - 15*y = i. Is y at most as big as 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011110100010 + 11?\nAnswer: 1111011110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 343066, 686123, 1029180, 1372237?\n\"Answer: 343057*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6783028?\nAnswer: 2, 7, 157, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -394, -814, -1342, -1942?\nAnswer: -2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q**2 - 28*q**2 + 13*q**2 + 8*q to w + s*q + t*q**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/23, -0.04, 0 in descending order.\nAnswer: 2\/5, 1\/23, 0, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 24*n**2 + 2*n - 2. Let p = -31 + 45. Let y(f) = -f**2 + 13*f + 17. Let z be y(p). Let v be s(z). What is the greatest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24951 and 1509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1276 = 1290*t - 1295*t + 3759. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.053 - 35. Let p = -6.347 - c. Let x = p + 2.6. What is x rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*g - 84 = 0, -27*x + 31*x - 112 = -g. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12858 + -13936.8. What is z rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**5 - 17567160*m**4 + 2*m**2 - 60928079*m wrt m?\nAnswer: 40*m**3 - 210805920*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(42\/18 + -3). Suppose -2*v + 252 = 2*w, 3*v + b*w - 7*w = 406. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34826354.64900354 - -34826355. Let a = n - 0.351. What is a rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24182 and 678.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, 5.927, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-6*v - 135722 + 262921 - 131330).\nAnswer: -6*v - 4131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -513 - -797. Let z = r + -283.9493. What is z rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - (-2296)\/24. Suppose -2*x + 5*x = l. Let o be x\/(-24)*(-6)\/4. Solve -12 = -u - o*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11\/(341\/1736).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.036?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. What are the prime factors of (-15)\/z*(-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -18 (c) -0.11 (d) 2.7745 (e) 0.1 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -5*d**4\/24 + 7*d**3\/6 - 9*d**2\/2 + 10*d. Let l(f) be the first derivative of y(f). Find the first derivative of l(v) wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45 - -0.5. Let r = 0.05 - q. Sort 1, r, -2\/5 in ascending order.\nAnswer: -2\/5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*o + 23 = 9, 2*u - o = 6. Suppose 0*l - 4*l + 20 = 0, u*l - 90 = -5*z. Calculate the remainder when 29 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, 21, 2, -0.132, 1\/8, 0.029, -2\/15?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*h**3*j**3 - a*h**2*j**2 - 4*a*h**2*j + 165*a*j**3 - a - 6*h**3*j**3 - 2*h**3 - 4 wrt j?\nAnswer: -12*a*h**3 + 990*a - 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10 + 3*v + 0*v + v**3 + v**2 + 11 - 6*v**3 + 4*v**3. Give m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 841568.49 to the nearest one thousand.\nAnswer: 842000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 196 = -42 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 133771*h. Let v(f) = -40*f**2. What is l(v(p))?\nAnswer: -5350840*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 929215070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2142\/1309*25\/(-1350)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/8910 and -47\/54450?\nAnswer: 490050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0*x + 1\/22*x**4 + 4*x**2 - 1\/330*x**5 + 0 - 3\/11*x**3. Find j such that w(j) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010181636712 to seven decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4968668006.438 + -4963914511. Let n = z - 4753578.43800078. Let u = -83 - n. What is u rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89495070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0544665 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let j(m) = m - 1. Let q(h) = 5*h - 6. Let g(x) = -6*j(x) + q(x). What is g(r(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*n - 1035 = n, 2*n - 1050 = -2*f. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -434, -692, -1024, -1430, -1910?\nAnswer: -2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-8 - -9) + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13266\/19 or 1?\nAnswer: 13266\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let d(m) = 8*m + 29. Let p(w) = -d(w) - 2*j(w). What is the first derivative of p(l) wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 - 2*l**2)*(-3387 - 11674 - 11419 - 3464 + 3375).\nAnswer: 79707*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 9*p + 2. Let m be q(-10). Let w be (-18)\/m*(-2)\/3. Let t be (1 + -1 + -1)*(-268)\/(-2680). Do w and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164*i = 1156*i + 104 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22996 (base 10) to base 7\nAnswer: 124021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 - -162. Suppose b + 0 = n. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 6208.\nAnswer: 6208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 712 and 43012988.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, 0.1, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-304.\nAnswer: -10944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + (-9 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 14. Let f = z - 9. What is the smallest value in -2\/5, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34098*g - 34100*g + 4*k - 22, -21*g - 3*k = 51 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - w - 7, -4 = 3*h + w - 13. Solve s + 1 - 6 = -2*a, 0 = h*a - 5*s + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 4, g: 2, t: 1}. What is prob of sequence fgb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*sqrt(343)*-2 + sqrt(343))**2.\nAnswer: -98*sqrt(7) + 16808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1196 + -2485. Is 2\/1 + -6 + (-3 - a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*((-30)\/9 - 1). What is the tens digit of (3 + f)\/(-4) + 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111022 + 3?\nAnswer: 2111031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1886852, -3773716, -5660562, -7547384, -9434176, -11320932, -13207646?\nAnswer: -15094312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -81*r + 78*r - 4*f, 0 = 5*r - 4*f - 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2269543 + 719543. Round u to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(5*(sqrt(190) + (sqrt(190) + 2*(sqrt(190)*2 + sqrt(190) + sqrt(190)) - sqrt(190))))\/((sqrt(10) + (sqrt(10) - (5*sqrt(40)\/sqrt(4) - sqrt(10))))*-2).\nAnswer: 135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 13.93. Let z(w) = 2*w**2 + 21*w + 55. Let l be z(-9). Let o be l\/12*135\/63. What is the nearest to k in o, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 1, -2*x + 0*x = -3*b - 27. What is the remainder when (5 - 4 - -6)*5 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 106 + 90, r = 2*z - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 50 - 101 + 51.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 210 = -6*h, -7*o = -13*o + o - 4*h - 150 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 105*a - 76*a + 20*a.\nAnswer: -161*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 + 5*i**4 - 2*i**4 + 94770*i**3 + i**2 + i + 0*i**4 - 94836*i**3 to the form k*i**2 + c*i**3 + h*i**4 + r + d*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 6*q**2 + 9*q**2 + 32 - 32.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11591 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: Calculate the remainder when 9756 is divided by 287.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**6 + 2272*j**5 + 3*j**4 + 22*j**2 + j - 672.\nAnswer: -360*j**3 + 136320*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 74 = -10*s - 3*t, t = s - 78. What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9882406 to the nearest integer?\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 2) + -1 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8184\/(-7161)*(-28)\/1360?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -469, -320, -87, 218, 583, 996?\n\"Answer: -2*j**3 + 54*j**2 + j - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46573 is divided by 6653.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**3 + 0*q**2 - 9\/28*q**7 - 45*q - 19\/8*q**4 + 0 - 21\/40*q**5 + 39\/20*q**6. What is l in h(l) = 0?\nAnswer: -1\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4942 divided by 6?\nAnswer: 2471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:48 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7170?\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(33)\/sqrt(12)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -1 (b) -0.41 (c) -0.1 (d) 2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 55045398 divided by -27522699\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(1*sqrt(700) - sqrt(700)) + (sqrt(700) + 0 + 0 - sqrt(700)) + -3)*-4)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*k = 1919, 642 = f - 6*k + 2*k. List the prime factors of f.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157408443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 32 = -108. Let b(z) = z**3 - 5*z**2 - 4*z. Determine b(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*u**2 - o**3*u - 461*o*u**3 - 2*o*u + 2*u**3 + 160*u wrt u.\nAnswer: -2*o**3 - 2766*o*u + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(-1 - 7\/(-4)). Let x(p) = 0 - 4 + 2*p - 11*p - p**2. Is x(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:15 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (27*106\/21465)\/((-20)\/1275)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-1530)*576\/320.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 46*w + 57. Let t be n(-20). Let f = -361 - t. Calculate the highest common divisor of f and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110202 + -1012?\nAnswer: 103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhyk when four letters picked without replacement from khybbbnby?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 - 17*v**4 + 103*v**3 - 239*v**2 + 40*v + 400 = 0.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2258, -4515, -6772, -9029, -11286?\n\"Answer: -2257*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31\/3, 49 in ascending order.\nAnswer: -31\/3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89146 is divided by 239?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 86*f - 1838. Give j(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -44.79. Let j = 12181.5 - 12182. What is the second smallest value in 3\/4, j, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/3*22\/(-6). Suppose 5*k - 18 = f. Suppose 5*g = k*g - 36. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1 - ((-702)\/24)\/13. Let y(h) be the first derivative of 1\/5*h**5 - 1\/4*h**4 + 1\/2*h**2 - 1\/4*h**3 - f*h + 2. Factor y(b).\nAnswer: (b - 1)*(b + 1)*(2*b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 2:58 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 124*b + 72*b - 10*b**2 + 8*b**2.\nAnswer: -2*b**2 + 196*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4625 by -925.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(11) - sqrt(1584)*-1) + 4*sqrt(99)))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77845, 77979, 78113, 78247, 78381?\n\"Answer: 134*a + 77711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105.25 - -105. What is w rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3724*x + 5943*x - 43134*x.\nAnswer: -33467*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6911183.1 rounded to the nearest 100000?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2*o + 85 = -z, -z - 4*o = 1. Let x be (-3)\/1 + -1 + z. Suppose -11*b + 8*b + x = 0. Solve -b + 1 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:16 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 66 = 2*z. Let h = z - -40. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/5 + 558*s**4\/5 - 76152*s**3\/5 - 470384*s**2\/5 - 949776*s\/5 - 636192\/5.\nAnswer: -(s - 282)**2*(s + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -670 (b) 3226 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*s - 3)*(0*s + 2*s + 0*s + 5 - s - 5 + 9*s + 2*s + 28*s + (1 - 1 + 1)*(-2*s + 3 - 3) + 0*s - s + 2*s + 2*s - 2*s - s + 3*s - s - s).\nAnswer: 156*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1100)\/(-6) - (-1225)\/735. Solve 0 = -54*m - 193 - k for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.2 - -45. Which is the nearest to -0.1? (a) 10 (b) g (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1591373904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**3 - 3*i**2 - 3*i - 3. Let g(c) = -12*c**3 - 5*c**2 - 5*c - 5. Let x be (10 - 2)*(-1)\/(-2) - 9. Calculate x*b(h) + 3*g(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -419928812*j + 28135666.\nAnswer: -419928812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5601*i**3 - 103*i**2 + 203*i**2 - 100*i**2 + 193 + 5591*i**3 to r*i + m*i**3 + a*i**2 + j and give j.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057304574 to seven dps.\nAnswer: 0.0000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 3*p - p)*(-4*p**3 + 0*p**3 + 2*p**3) - 7*p**3 - 637 - 5219*p**4 + 637 - 9408*p**4 + 7*p**3 to x*p**3 + q*p + u*p**4 + h + t*p**2 and give u.\nAnswer: -14637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -718585, -718584, -718583, -718582?\n\"Answer: z - 718586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 - 24*o**4 - 45*o**3 = 0. Calculate o.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (300\/(-9)*-6)\/1. What is the greatest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.073 decades in months?\nAnswer: 94088.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 20 = 5*b - 5*u, b + 4*u = 4. Suppose r + 52 = -14. What is the units digit of (3 - r)*b\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81841162 to the power of 1\/2, to the nearest integer?\nAnswer: 9047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*a + 26 = 0, 5*j = 2*a - 155 + 178 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35\/28 - -38*48\/(-1664)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 620 - 13 = -3*w, 0 = w - 5. Let m = h - -453. Round m to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/((u\/u**(2\/7))\/u))\/u*u**(-1)*u*u)\/(u**0*u)**(5\/11)*((u\/(u*u**(1\/2)))**(-8\/3))**(-14\/11) assuming u is positive.\nAnswer: u**(31\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -271 and 0.2.\nAnswer: -54.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -588, -1318, -2340, -3654, -5260, -7158?\nAnswer: -9348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2401 (base 8) to base 4\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 3. Let y be k(5). List the prime factors of 1 + (-687)\/y - (-7)\/14.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 7, o: 4}. What is prob of sequence ppo?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2)**43\/(d**(-9\/2)*d**3) assuming d is positive.\nAnswer: d**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 13*f + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 14\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 17*h - 31. Let p be n(15). Let r(w) = 3*w - 4. Suppose 0 = l - 9. Let z = -5 + l. Let f(v) = v - 1. What is p*r(a) + z*f(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22046176*t**4 + 31747276*t?\nAnswer: -264554112*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7044)\/(-84) - 1\/(-7). Let h be (-2)\/((-4)\/14 + 10\/y). Solve 3 = -3*n + h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127977659 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: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, v: 1, i: 2, p: 1, u: 1}. What is prob of picking 1 u and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 - r. Suppose 4*s = 2*s - 4. Let q(b) = 12*b**3 - 22*b**2 + 16*b + 8. Let a = 378 - 406. Let h(w) = a*k(w) + s*q(w). Factor h(l).\nAnswer: 4*(l - 1)*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/19 + 542636*g\/19 + 2713130\/19.\nAnswer: 2*(g + 5)*(g + 271313)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17507 divided by -61?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-20)*3)\/((-13140)\/(-5475))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 25. Let l(y) = y - 143615 + 143615. Give b(l(h)).\nAnswer: -2*h**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-28)*(-49)\/8.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1111 (b) 2\/9 (c) -1 (d) 4 (e) 0 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289 + -271. Calculate the remainder when v is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 1113, 2243, 3825, 5859?\nAnswer: 8345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -8\/3*a**3 + 0*a**2 + 3*a**4 + 0*a - 6. What is the third derivative of l(n) wrt n?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/3)\/((-4)\/(-18)). Suppose -5*j - 54*h + 57*h = 82, 5*h = -4*j - 36. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-1 + 27624\/9203). Let j = b - 22666929\/36812. Let l = -620 - j. Find the common denominator of l and -23\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 = -2*i, i + t + 0*t = -4. Is (229 - (-3 + i)) + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6246388mg in micrograms?\nAnswer: 624.6388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -622*q**2. Let p(y) = -39973*y. Calculate f(p(n)).\nAnswer: -993856933438*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1296649 to the nearest 10000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4912*u**2 + 112894374*u - 112894374*u.\nAnswer: -4912*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekkgg. Give prob of sequence kegk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*3*(-2)\/3. Suppose 3 = 4*i - 2*v + 9, 5*i - n = -3*v. Solve -4*h - 13 + i = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 7164.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245072?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20 and ((-4)\/(-24))\/((-112)\/1128)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:54 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(76) + -3 + 4 + sqrt(76) + (sqrt(76) - (sqrt(76) + -3))*5)**2.\nAnswer: 104*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 32784808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvkvkmvvi. What is prob of picking 1 v, 1 m, 1 k, and 1 i?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.77 + 0.7. Sort 3\/2, c, -3\/4.\nAnswer: -3\/4, c, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -10 - 17\/2*p**2 + 0*p - 3*p**3. Find the second derivative of n(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4966540919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + sqrt(720)*-2)**2*1.\nAnswer: 288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13180186673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*j = 10, -23*j + 4 = 2*r - 19*j. Let b(n) = 28*n - 2. Calculate b(r).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-50)*0)\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*v - 37, -3*v = -16 + 1. Let x(m) be the second derivative of 0 + 0*m**4 - 3\/2*m**2 + 0*m**3 + z*m - 17\/20*m**5. Differentiate x(j) wrt j.\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 0) + 12 + -6. Solve j*b + 17 = 4*y, -2*b - 8 = -3*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0 + 2 + c - 1)*(2*c**3 - 3*c**3 - 2*c**3).\nAnswer: 6*c**5 - 3*c**4 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:04 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2953408 divided by 46147\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 8, -1\/6, 3, -7.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -80?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/945)\/((-1)\/(60\/5))*(-78)\/4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723958 is divided by 964?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/450 - p**4\/180 + 2*p**3\/45 - 37*p**2 - 7*p - 6. Let d(v) be the first derivative of a(v). Factor d(x).\nAnswer: -2*(x - 1)*(x + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22999 is divided by 231?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 6230 - 6222. Let j be ((-6478)\/12)\/(1 - 4). Let k = 180 - j. Are k and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j + 2. Let k be h(1). Let o be (k - 0)*0\/(-4). Solve o = 5*m + 32 - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 12, t: 5}. What is prob of sequence ktpt?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18544)\/608 - (-16)\/2) + -15)*4\/(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.195 times 1\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 610 - 17192. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -453143, -1812555, -4078241, -7250201, -11328435?\n\"Answer: -453137*a**2 - a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*i**3 + 555*i**2 + 2160*i - 320.\nAnswer: 5*(i + 8)**2*(7*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 + 436. Suppose -5*z + 100 = 2*t, -2*t - 11*z = -5*z - 102. Calculate the greatest common divisor of t and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 6*o**2 + 3*o + 14. Determine w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 9 = 55*b - 58*b, b = 6*a - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19192 and 1784856?\nAnswer: 1784856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-28)\/490.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**3 + 2180*f**2 + 248*f - 52.\nAnswer: -36*f + 4360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k. Let x be v(6). Let l = -11 + x. Let a = 0 + 2. Calculate the remainder when l is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from mkkmkmmemekkkkekm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cytwicrtr. Give prob of sequence wc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/26675 and -23\/48015?\nAnswer: 240075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 35, 24*t - 35*t - 3*l = 2*l - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 76*n + 1352 = 39*n for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1066063*m**4 + 3*m**2 - 5167*m - 10 wrt m?\nAnswer: 25585512*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/20 (c) 0.4 (d) -3214 (e) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -34. Let o = l - -38. Let r = 81 - o. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5 = 2*h, -30 = -5*o - 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:29 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720740 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4268218 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 2 = -h, 6 = 4*y + 3*h. Let x = 1011\/7 - 144. Which is bigger: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, r: 2, p: 1, c: 3, m: 6, k: 3}. What is prob of sequence klkm?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -115. Let o = -19 + z. Find the third derivative of 557 + 0*v**2 + o*v**2 + 7*v**5 - 557 wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 86*m - 86*m.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6509 divided by -61646.\nAnswer: -6509\/61646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - x = -143 - 201, 86 = o + 2*x. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from {r: 9, a: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - 815. Let r = 921.999999429 + o. What is r rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 1022 - 2*g**4 + 512 - g**3 + 4*g - 20197780*g**2 + 20197782*g**2 as i + y*g**2 + v*g**4 + q*g + l*g**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -18974040.\nAnswer: -1\/1264936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 72 = 0. Solve o = 4*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/312 and -19\/13780.\nAnswer: 82680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -13743 + 92463. What are the prime factors of a?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i**3 + 2*i**2 - i. Let j be q(1). Let t = 21 - j. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*l + 2*j - 7*j, -8 = 2*l + 2*j. Is l greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19829.2 - -19829. What is the closest to 0.7 in z, -2, 4, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*g + 2 = 0, -471 + 465 = -4*p - 2*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 264, 775, 1760, 3375, 5776, 9119, 13560?\n\"Answer: 26*z**3 + 3*z**2 + 2*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -823903 divided by 6?\nAnswer: -823903\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056 is divided by 1014.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -31944\nAnswer: 1\/10648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*f**4 - f**3 - 447 wrt f.\nAnswer: -424*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2533\/90 - -141\/5. Let a(d) be the first derivative of -3 + 2\/9*d + f*d**4 - 1\/9*d**2 - 2\/27*d**3. Let a(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276\/13 - 271\/13. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69713213 - -69713493.113156. Let d = -232.11316 + l. Let g = 48 - d. What is g rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**3 - 852*q**2 + 139*q + 210. What is u(85)?\nAnswer: -2425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60277?\nAnswer: 7, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*n + 42 = -2*l, 3*l - 4*n + 18 = 0. Let x(y) = -6 - 6*y + 14*y - 9*y. Determine x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 14) to base 5\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h + 9*h + 10*h - 39*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2, 501121 in ascending order.\nAnswer: -4, -2, 5, 501121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(245) - (5 + sqrt(245))) - sqrt(245))*-1*3 + 3)**2.\nAnswer: 126*sqrt(5) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -297 >= -1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-170)\/375*(-3)\/4 and 1\/5 - 6\/(360\/(-563)).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 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: Let p = -8 + 12. Let k = p + 3. Let s = k - 9. Sort s, -4, 5 in increasing order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16459*j + 16596*j - 2696 + 7217 = 0 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30176022\/42 - ((-86)\/7 + 12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n + 632*n**3 - 235*n**3.\nAnswer: 397*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254880 and 24485.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2241 + 1359. Let w = s + 2243. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - 2*l**2 + 1. Determine o(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 908277 times -0.18\nAnswer: -163489.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2297 - 34457\/15. Let w be (-1)\/(-2)*(-19 - -19). Which is the closest to w? (a) 1\/5 (b) t (c) 2\/121 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {m: 1, v: 2, r: 1, p: 4, t: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8555040 and 175488.\nAnswer: 34220160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -347 (base 10) to base 7.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1610.1 + -1614.1. Which is the biggest value? (a) -1\/74 (b) m (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1251698117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1385 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(3*g**3 + 28*g**2 - g + 19861 - 19863 + 16*g**2) in the form t + d*g**3 + o*g**2 + j*g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26\/5, -0.18, 215?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6994 a factor of 3745691718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/51150 and -41\/75?\nAnswer: 51150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-7))\/((-22)\/2178*-33). Factor -i*f**2 + 0 + 9\/7*f.\nAnswer: -3*f*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -253 - 3?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1255131 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4466, 17269, 38488, 68129, 106198, 152701, 207644?\n\"Answer: i**3 + 4202*i**2 + 190*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 982417.39+5.12583\nAnswer: 982422.51583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 939, -465, -3 in descending order.\nAnswer: 939, 19, -3, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -572649.3346 minus 7328?\nAnswer: -579977.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 1. Let r(m) = 1. Let z(w) = -2*w**2 + 14*w - 14. Let p be z(6). Determine p*o(x) - 2*r(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 75, 119, 167, 219, 275, 335?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - 0) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4549b8 (base 14) to base 15\nAnswer: 318253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*i = -5, 0 = -0*z - 3*z + 2*i - 2. Let h = z - -3. What is the lowest common multiple of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.1946 rounded to 1 decimal place?\nAnswer: 161.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19 + -10 - (-4300 + 4).\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*l + 345 - 3245 = 0, -2*y = l - 1161. Suppose 5*r - 1893 = -y. What is the tens digit of r*2\/10*30\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b. Let l(y) = -127212099*y - 3. Give l(j(t)).\nAnswer: -254424198*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*t - 6208 + 7217 = -15015 - 1840 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 906 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13011 + 14274 = 725*m + 909 - 11324 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6a623 (base 15) to base 8\nAnswer: -1225703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrpppfppp. Give prob of sequence rfpp.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -13, 4, -9 in decreasing order.\nAnswer: 4, -9, -13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2.5. Let c = 706 - 706. Let x = 124\/335 - -2\/67. What is the closest to x in h, c, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -171*r + 1. Let i(t) = -173*t + 1. Give 5*i(b) - 4*w(b).\nAnswer: -181*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 5*u - 607 - 132 - 3*u - 566 to the form s*u + g and give g.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1168.9 + -1169. What is the nearest to 2 in 29\/5, 1\/4, -0.5, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c. Let w(q) be the first derivative of 8*q + 9 + 0*q**3 + 1\/4*q**4 + 0*q**2. Let d(r) be the first derivative of w(r). What is p(d(i))?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1949765 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**3 - 2*w**3 + 5*w**3)*(0 + 2 - 1)*(w - 5*w + 0*w) in the form z*w**4 + d + r*w**3 + v*w**2 + b*w and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*t + 5, 0 = 2*d + t - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 50688645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ektgjjgjjjejgjge. What is prob of sequence tgk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**3 + 2*v**2 - 1842*v + 17052 with respect to v.\nAnswer: -6*v**2 + 4*v - 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**3\/12 + t**2 + 7*t\/4 + 45. Factor c(w).\nAnswer: (w + 1)*(w + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1\/((-1)\/2)). Let q be (3\/2 - 0)*(-1096)\/(-411). Suppose q*x + 15786886 - 5386886 = o. What is x rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56787 * 0.094\nAnswer: -0.05337978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tccctoxxcccxu. Give prob of sequence xuto.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from kjjtjht.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237290599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26667?\nAnswer: 3, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*a**4 + 2*a**3 - 336 wrt a?\nAnswer: 148*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - l + 35, -2*l = -l + 7*l + 12 + 28 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(-3\/2))*i)**(-21\/5)*i**(-2)\/i*i*(i**4*i)\/i assuming i is positive.\nAnswer: i**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1949 - -1948.9. What is the nearest to -0.1 in -2, a, -3, -10\/29?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54, -75, -96?\n\"Answer: -21*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.04788\nAnswer: -0.019152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46150 + -2952. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 59 + (-2)\/(-8)*4. Suppose 11*a - x = 8*a. Let z = -17 + a. Solve -3*j - b + 4 = -z*b, 0 = -j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 6336?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10951777?\nAnswer: 10951777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -25 + 27*o**2 + 10 - 13*o + 16 + 13*o. Let w(l) = -l**2 - 3. Let s(y) = -y**2 - 2. Let m(c) = -3*s(c) + 2*w(c). What is m(j(t))?\nAnswer: 729*t**4 + 54*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*p + 580, -p - 419 - 146 = -2*o. Let k = -279 + o. Solve 0*z - 4*h = -z + 14, 30 = -5*z - k*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14355118, 28710236, 43065354, 57420472?\nAnswer: 71775590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-4)\/24)\/(-5*9\/(-540))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4630 (base 9) to base 2.\nAnswer: -110101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 7*x**2 - 8*x + 5. Let a(z) = -z + 6. Let t be a(-8). Let j = 22 - t. What is the units digit of k(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, c: 1, r: 3}. Give prob of picking 3 z and 1 r.\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19733 is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -65. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 23, -71, 2, -4 in ascending order.\nAnswer: -71, -4, -3, 2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 - 94 + 91 = -w - 4*u, 0 = -2*w + 4*u + 150 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 77 = 3*p - 91, 5*g = -3*p + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11322.2*1.7\nAnswer: 19247.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 2*-2*sqrt(143))\/(-1*sqrt(275) + sqrt(11)) - (2*sqrt(13)*4 + 4 + sqrt(1872)).\nAnswer: -77*sqrt(13)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 0*r - 3*r)*(-273*r**2 + 236*r**2 - 3 - 3*r**3 + 207*r**2) to the form h + a*r**4 + g*r**3 + u*r + d*r**2 and give g.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbbbbbbbbxbbbbbbb.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 divided by -2.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.572*-1457\nAnswer: -833.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*l**5 - 3 + (-1 + 1 - 2*l**2)*(2*l**3 - l**2 + l**2) + 277*l - 3*l**5 - 277*l.\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 0*t - 2*b + 2*b = 2*b, -2*t - 120 = -2*b for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1745 - 123*g - 1745 as s*g + q and give s.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -381\/2 - -1724\/9. What is the common denominator of s and 3\/4*((-8056)\/(-60))\/19?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i**4 - 12180*i**3 + 2379775*i**2 + 1590570*i + 265320 = 0. Calculate i.\nAnswer: -402, -1\/3, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18358, 18282, 18168, 18016, 17826?\n\"Answer: -19*x**2 - 19*x + 18396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = l - 0*l. Calculate the highest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009*c - 596*c**2 + 596*c**2 + 11*c**3 - 826*c.\nAnswer: 11*c**3 + 183*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + -2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*d + 3*u, d - 48 = 5*d + 4*u. Calculate the common denominator of (-75)\/d - (2 - 0) and (11\/(-2))\/((-6)\/(-22)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 < 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-20) - (-1726)\/(-8). Let o(d) = d**3 + 11*d**2 - 25*d - 4. Let s be o(-10). Let a = v + s. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 3437*m**4\/24 - 2111*m**3\/3 + 2*m**2 - 25*m - 20. What is the derivative of y(z) wrt z?\nAnswer: 3437","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 + 510*f\/11 - 10412\/11.\nAnswer: 2*(f - 19)*(f + 274)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4500, 4499, 4498, 4497, 4496, 4495?\n\"Answer: -j + 4501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**4\/5 + 1428*l**3 + 379830*l**2 - 26775000*l + 421875000.\nAnswer: 6*(l - 30)**2*(l + 625)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.958 + -53. Let a = q + 0.04385. Round a to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -320179526*k**4 - 268186558?\nAnswer: -1280718104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35228 + 2222 = 1874*t + 36332 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (178839\/4)\/3 - 301\/1204.\nAnswer: 7, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 3*f**2 - 3*f**2)*((-3 - 2 + 3)*(-2*f + 4*f + 0*f) - 4*f + f - f + (-3 - 2 + 1)*(-5*f + 3*f + 3*f)).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 885 - 881. Let x(s) = -s**2 + 6*s + 7. Let q be x(7). Suppose 2*i - i = q. Solve 8*t - r*t = i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 26455.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + 51 - 29)*(3 + 1 - 6 - 3*m).\nAnswer: -288*m - 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0. Is k + (3 - 2 - -89) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/5)\/r)\/(r\/((r*r*r*(r*r**(1\/13))\/r)\/r*r)))\/(r\/r**(-28)*r**(-3\/7)*r))**(-31) assuming r is positive.\nAnswer: r**(404736\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 2. Let d = 8 - g. Determine j so that -5*j**4 + d*j**4 + 4*j + j**4 + 4*j**3 - 6*j**2 - 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9958 + 9958.3. What is the closest to -3\/5 in -2.02, -0.2, z, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-3) + -35 + 25)*-81.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*-60\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*n**3 + 62*n + 19*n**3 + 44*n**3 + n**4 wrt n?\nAnswer: 12*n**2 - 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.3 - -26.389. Let c = -0.189 + z. What is the smallest value in c, 4\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvffvvoveevevfo. What is prob of picking 1 o and 2 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 + -154. Which is bigger: 11\/9 or x?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 56, 67, 20, -121?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.168 - -0.168. Let l = -314\/7 + 45. What is the third biggest value in -5\/2, l, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3462681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2\/6 - 658535*r - 3951205\/6 = 0.\nAnswer: -790241, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 76 = 140 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y - 8. Let i(t) = -t**2 - 7*t - 5. Let z be i(y). Let a(v) = 11*v + 35. Let g be a(-3). Put z, 4, g in decreasing order.\nAnswer: 4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.44522 to 1 dp.\nAnswer: -27.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = -2*s + 70, 25 = s - 3*k. Let j = 46 - 29. Let m = s - j. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-4 - 1 + 3)*(-j + 0*j - j)*(-4*j**4 + 0*j**4 + 9*j**4).\nAnswer: -40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 17*s**2 + 14*s + 25. Calculate d(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(((-21)\/(1071\/(-255)))\/(17\/(-1))).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 30*z**2 - 30*z + 55. Suppose -103 - 274 = -3*y - 4*j, 4*y = 4*j + 484. What is the remainder when y is divided by v(29)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -15*o**3 + o**2 + o - 1. Suppose -2*w = 11 - 7. Let f be t(w). Calculate the highest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164110 divided by 5\nAnswer: -32822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/948282 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, 2, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2 - -3)\/(-1). Suppose u + d*u = 4. Solve 2*j = 4 + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + 3 + sqrt(1573) + -1)**2 - ((sqrt(234)*-2 + sqrt(234))\/sqrt(9) + sqrt(26))\/((sqrt(50)\/sqrt(5))\/sqrt(5)).\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/20)\/(l\/l**(-6\/7)*l*l))\/(l\/(l**(-21)\/l)*l\/((l*l*l*l**(-1\/5))\/l)))**(1\/10) assuming l is positive.\nAnswer: l**(-3669\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1018 + -964. What is the first derivative of -120*z + r*z**2 + 316 - 108*z + 30*z**2 + 229*z wrt z?\nAnswer: 168*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from woooozoowzzo.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -h + 112, -3*i + h = -6*i + 332. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1350.231\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360786 divided by 4.\nAnswer: -180393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**2 + 4*s**2 - 5*s**2)*(-5*s + 3*s + s)*(0 - 1 + 0).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -155*l**2 + 6090*l - 11560 = 0. What is l?\nAnswer: 2, 1156\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1*-1*sqrt(228) - (sqrt(228)*-2*6 - sqrt(228))))\/(((sqrt(540)*-2)\/sqrt(9))\/(sqrt(40)\/sqrt(2) - sqrt(5))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 14340.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 8. Let r = 9 + 9. Let i be r\/(-8)*24\/6. What is the units digit of g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let s(w) = 2*w - 4. Let j(d) = -6*d + 7. Let r(c) = -18*c + 22. Let q(l) = -11*j(l) + 4*r(l). Let i(h) = 4*q(h) + 11*s(h). Calculate f(i(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552 - -554. Let m(u) = 17*u**3 + 3*u**2 - 21*u + 9. Let p(l) = 4*l**3 + l**2 - 5*l + 2. Give a*m(v) - 9*p(v).\nAnswer: -2*v**3 - 3*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 11817*r - 166026.\nAnswer: 3*(r - 3953)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 + 13*p**3\/4 - 23*p**2\/2 + 3*p + 18.\nAnswer: -(p - 6)**2*(p - 2)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r**2 - r + 2. Let p be d(-3). Suppose 8 = p*g - 202. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57563, 226896, 509119, 904232?\nAnswer: 1412235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32.8+8.7268746351\nAnswer: 41.5268746351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15, 3, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.79 from 0.178.\nAnswer: 3.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 2*d + 1. Let m be w(-4). Suppose 9 = 3*b - m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/17)\/((-8853)\/17706)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 294766450 and 2063365152\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 48 = -19*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*o + 2)*(13 + 3 - 2)*(4 + 1 - 1)*(3*o + 7*o - 2*o).\nAnswer: -1344*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5298689 + -358.\nAnswer: 5298331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -37, -14, 9, 32, 55?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -85*y + 2708. What is h(22)?\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 40*b - 128. Calculate z(4).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 e when four letters picked without replacement from {r: 17, e: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 + 2*g**2)*(-18*g**2 - 11*g**2 - 30*g**2)*(0*g + 0*g + g).\nAnswer: -118*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmyqmqmyyym. Give prob of sequence qmyy.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-105)\/(-6)) - (-4)\/35. What is the closest to -1\/4 in y, 2\/11, -3, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 71. Suppose 55 + 45 = -w*r. What is the remainder when 16 is divided by (-105)\/r - (-6)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7 - 1 = 5*l, -2*j - 6 = 3*l. Suppose l = p + b, -3 + 0 = 3*p + 4*b. Which is greater: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -391262 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 618696.5.\nAnswer: 61869.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31918 and -0.1.\nAnswer: 3191.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 25 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165.1 + 342.2. Let r = h - 3.1. Let x = r + -173.899. Round x to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -10, -35, -84, -163, -278, -435?\n\"Answer: -y**3 - 3*y**2 + 9*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**2 - 60*k + 19*k + 17*k + 24*k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 60*l + 84. Determine h(-9).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8173440.\nAnswer: 2, 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/20*((-62)\/(-155))\/(68\/(-20))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 14. Let u = 79 - 103. Let g be h(u). Solve 3*a - 2*t + g = 27, -4*t = 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008047882 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.262 and -198.\nAnswer: 249.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2496836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3822 in decreasing order.\nAnswer: 0, -2, -3822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-34)\/119)\/(6\/(-21)))\/(-1). Let f(y) = -y**2 + y. Let q be f(1). Calculate the remainder when (0 - n) + 4 + q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -0*n. Let c = -9 + 13. Let h(d) = -c*d + 4*d - n*d - 2 + 3*d. Give h(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Let l(m) = -m + 1. Suppose -13*d + 10*d - 90 = 0. Let z = d - -40. Let x(q) = 2*q**3 + 8*q - 8. Determine k*x(t) + z*l(t).\nAnswer: 2*t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5011 + -104444?\nAnswer: -55433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - n - 3)*((-5 + 0 + 4)*(n + 3 - 3) - 2*n - 2*n + 2*n + 2*n + 2*n - 5*n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 9*q**2 + q - 1. Let u be n(9). Suppose u = 2*g + 4*z, -g + 6*z = z + 31. Let c be (25\/(-5) + -3)\/2. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 12*z**2 + 12*z**3 - 9*z**3 - 8*z**3 - 13 - 12*z. Suppose -40*q - 143 = -27*q. Calculate s(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*f + 2*f - 7 = 0, 0 = -2*p - f - 11. Let q = 28.1 + -28. Sort p, -4, q in decreasing order.\nAnswer: q, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 4)*(-7*p + 4*p + 2*p) + 86*p + 132*p - 34*p to n + j*p and give j.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/85 + -1267\/170. Find the common denominator of c and (-10)\/(-8)*(-460)\/350 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -24. Solve 5*d = -10, -5*j + 0*d - y*d + 11 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20208430, 20208434, 20208438, 20208442, 20208446?\n\"Answer: 4*o + 20208426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.10025 - -0.26495. What is the nearest to 1\/3 in -1\/2, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10404765 and 7569?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 16) to base 7.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Three letters picked without replacement from {e: 1, h: 4, x: 1, t: 9}. Give prob of picking 3 t.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185861286 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055237458 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.28 - -0.07. What is x rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v**2 - 25*v + 2. Let i(h) = -5*h**2 + 10*h + 1. Let y(c) = -14*i(c) - 6*z(c). Determine y(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 + -132. Let j = 321\/4 - f. Sort -5, j, 3 in descending order.\nAnswer: 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 261*s**2 - 5 - 259*s**2 + 5. Let l(g) = 0*g + 4*g - g. Give l(q(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b + 20. Let n be f(-9). Let g be -2*2*4\/n. Put 2, g, -2\/9 in descending order.\nAnswer: 2, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51*-0.26\nAnswer: -13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11818313?\nAnswer: 13, 101, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 25 - 23*v + 23)*(-v + 8*v - 2*v).\nAnswer: -115*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 54 = -10*x. Solve -r = -4*r + x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.5, 0.1, 1.4, -0.4, -0.5, -0.009?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**3 - 7*f**2 + 4*f + 11. Let r(w) = 3*w**3 - 3*w**2 + 2*w + 5. Let q(d) = 2*k(d) - 5*r(d). What are the prime factors of q(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/4 and (-406)\/(-2280) - (96\/30 - 3).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 13*f - 44. Let t be r(16). What is the third derivative of -36*w**2 - 12*w**4 + 15*w**t - 28*w**4 wrt w?\nAnswer: -600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a century in months?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -9257\nAnswer: 46285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1621 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215 - -304. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 225?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + -2*sqrt(1500) - sqrt(1500))\/((sqrt(30) + sqrt(120))\/sqrt(10)).\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 23.1. Let w = x - 1.4. Which is the biggest value? (a) 0 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5073.754ug to nanograms.\nAnswer: 5073754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m**3 - 304*m**3 + 62*m**3.\nAnswer: -319*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8654*m + 8634*m + 820 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -3*k. Find a, given that -6*a**2 - k*a**5 + 2*a**5 + 8*a**2 + 3*a**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -51118*f - 664552. Give g(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/((-13)\/(-3)). Let j = -38.4965 - -36.4965. Let v = -1 + -4. Sort y, j, v, 4.\nAnswer: v, j, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.653653 to two dps.\nAnswer: -327.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -100110110011 (base 2) to base 11\nAnswer: -1958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 9*r**2 + 3*r + 1. What is c(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 6. Let p(b) = 2*b - 12. Let h be 34\/102 - 8\/6. Let x(c) = -1. Let d(z) = h*p(z) + 12*x(z). What is w(d(q))?\nAnswer: -6*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190570 by -3.\nAnswer: 190570\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, -2, -22, -58, -116, -202?\n\"Answer: -m**3 + m**2 - 6*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 6:23 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.3 + 6.5. Let v = -1148 - -1170.77. Let z = f + v. What is z rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/((14\/36)\/(-7)*222075\/(-5922))\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 - l + 6. List the prime factors of x(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 615207646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 34*w - 39*w. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132 - 9*v**4 - 26*v**4 + 37*v**4 + 56*v wrt v.\nAnswer: 8*v**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7251354 - 158785.422.\nAnswer: 7092568.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-78)\/18 + (-4)\/(-12). Is 96 a factor of ((-12)\/10)\/(d\/4800)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t**3 + 500385*t**2 - 6259753800*t + 3129751805 = 0.\nAnswer: 1\/2, 25019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2032.498 - 2031.387841. Let u = 168.89 + -170. Let k = u + j. What is k rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 7 = 32. Let z = -0.2 + -5.8. Let f = z - -5. What is the second biggest value in q, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 73608 = 7*f - 5*j, 2*j = -3*f + 73566. What are the prime factors of f?\nAnswer: 2, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/476179 and -4\/511.\nAnswer: 3333253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 8*g + 5. Let c(a) = a**2 - a. Let x(n) = -c(n) + s(n). Let k = -25 - -14. Let z = k + 15. What is x(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let i = -343.49 + 343.99. Which is the biggest value? (a) n (b) i (c) 21 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 4. Let o(d) = -5*d**2 + 9. Let k(j) = 9*h(j) + 4*o(j). Let c(y) = -25 + 4*y**2 + 11 + 4*y**2 - 11*y**2 + 9. Determine c(k(z)).\nAnswer: -12*z**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 2*t)*(-2*t**2 + 6*t**2 - 2*t**2)*(342*t**2 + 146*t**2 - 22*t**2).\nAnswer: 1864*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 656*y**2.\nAnswer: -656*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 79*o**2 + 74*o - 16. Does 113 divide n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810568826 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -5, -20, 0, 5\/4, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28933\/2 + -380623\/26. Let c = -173 - l. Let x(n) = -n**3 - 5*n**2 + 14*n. Let u be x(-7). Which is greater: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10*g + 760 = 0. Suppose 6*f - 1003 = g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 108. Calculate the remainder when z*2\/(-4)*17 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -406?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/100)\/((-4)\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864195 is divided by 273.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 + 57*d**2 + 514 - 149.\nAnswer: 57*d**2 + 744","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1. Suppose 0 = -8*a + 6*a. Let o(s) = 4*s - 5*s + 2 + a*s. Let m(h) = 3*o(h) + 7*y(h). Find the first derivative of m(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 322 = -312. Factor 0 - 10\/9*m**3 + 2\/3*m**4 + 2\/9*m**k + 2\/9*m.\nAnswer: 2*m*(m - 1)**2*(3*m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 1.5. Let n = -0.2 + i. Let g = -3.5 + 4.5. Which is smaller: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424.5038t to micrograms.\nAnswer: 424503800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -97714883.\nAnswer: 195429766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213311387\/11571 - -18435. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 3093324?\nAnswer: -3093322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 1. Let y = -156 - i. Let r = -0.729241 + 0.229241. What is the third smallest value in 1\/3, r, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7132\/3 + -2372. Determine b, given that -p + 20\/3*b**4 - 4\/3*b**2 - 32\/3*b + 4\/3*b**5 + 28\/3*b**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3*u - 2. Suppose 0 = -n + 4*n + s - 2, -2*s = -5*n - 4. Let w = 4 - n. Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/6)\/(2\/792*66)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c. Let m = -14 - -23. Suppose 6*x - 9 - m = c. Solve -5*v + x = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c - 20. Suppose 3*r - 12 + 54 = 5*m, 10 = m - r. Is x(m) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2639 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -782?\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 + 3*m**2 + 13*m + 3. Let d be c(5). Let f = -349 - d. Calculate the greatest common divisor of f and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158899.11 months to decades.\nAnswer: 1324.15925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -12.5.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12042000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/3 - 74*s**3\/3 - 196*s**2\/3 + 272*s\/3 = 0.\nAnswer: -34, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2 + 1. Let z(u) = -2*u**3 + 4*u**2 + 4*u - 7. Let t(f) = -n(f) - z(f). Let x be t(4). Are x and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81183690810 - 0.6712.\nAnswer: 81183690809.3288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 16*o**3 - 4*o**3 - 2*o**2 - 11*o**3.\nAnswer: -31*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -752 + 935 - 721 - 665 - 1103 + 2945*m**4 wrt m?\nAnswer: 11780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*i - 8, 3*r + 0*r + 4*i = -8. Suppose o + 2*x = 4*x - 4, x - 4 = r. Put o, -2, 5 in decreasing order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -4, -17, 398 in descending order.\nAnswer: 398, 1, -4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l. Suppose 3 = -3*k - l. Let y(h) = -2*h**3 - 16*h + 2*h + 8*h + 4*h - 1 - 2*h**2. Give y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + 302?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 167, -3, 3, 0, 9, 1 in descending order.\nAnswer: 167, 9, 3, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101 and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1051\/2 - -526. Let w = 14.6 + -15. Let f = 4.6 - w. Sort s, f, -8\/3.\nAnswer: -8\/3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/4)\/200)\/(4\/(-10)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2 - 2)*(4 - 4 + 2) + (h - 12*h + 5*h)*(2 + 4 - 5) to the form j + b*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-1 + 1 + 6*x)*(-x + x - 2*x**3).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9016 take away -0.5?\nAnswer: 9016.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15525 - 1?\nAnswer: 15524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/783 and -131\/516.\nAnswer: 134676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*t + 9820*k + 56039*t wrt k?\nAnswer: -2*t + 9820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*u**4 + 159620*u**3 - 10*u + 776?\nAnswer: -240*u**2 + 957720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2315\/6 + -385. Let n = 5\/6 + r. Put -0.4, -1.2, n in ascending order.\nAnswer: -1.2, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -771, -1471, -2215, -3003, -3835, -4711, -5631?\nAnswer: -6595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10956751 and 1131.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*11*(3 - 4). Let j = t + 53. Calculate the remainder when j is divided by (-22)\/((-572)\/585) + (-2)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227216 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 257472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 24 - (-80)\/(-20). Let z = p + 60. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/266 and 1\/4978.\nAnswer: 34846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1287 = b. Suppose 4*w + 5*x = b, -x + 353 - 134 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2568138, -2568190, -2568242, -2568294, -2568346?\n\"Answer: -52*w - 2568086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 + 10*q**2 + 9*q. Let d(s) = 5*s - 1 + 2*s - 6*s + s**2 + s**3. Let r(t) = 5*d(t) - l(t). Is r(7) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*f**3 - 167*f**3 + 185*f**3.\nAnswer: 834*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62072?\nAnswer: 2, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*-1 - 0)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/17)\/h)\/(h*h*h**7*h)*(h\/h**8)**(1\/36) assuming h is positive.\nAnswer: h**(-6311\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -272 - -272. Solve 0 = 3*l - 5*d - 3, -3*l + p*d - 2*d + 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.041, -2\/15, -0.069, -699, 4 in ascending order.\nAnswer: -699, -2\/15, -0.069, 0.041, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:19 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -1\/120*t**6 - 1\/3*t**3 + 1\/10*t**5 + 0 + 0*t + 3*t**2 - 1\/8*t**4. Does 18 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7 - 5*a**2 + 16 - 4 + 0. Let d(u) = -u**2 + 1. Determine -6*d(z) + l(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from {x: 7, l: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10*-40.35\nAnswer: 403.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4526\/12829?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 + 115. Let z = -51.11 - i. What is the third biggest value in -4, -0.5, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6*t - 168. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/118345 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338201, -2705668, -9131659, -21645440, -42276277, -73053436, -116006183, -173163784?\nAnswer: -246555505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -5*i - 40. Suppose 5*g - 97 = i. Solve 5*x + g = 1, -2*x = -4*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmfpdkq. What is prob of sequence fkp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0*l + 2*l + 7)*(1 + 0 + 1)*(4*l + 4 - 4) in the form f*l + m + x*l**2 and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/120 - v**5\/60 + v**3\/3 + 23*v**2. What is the least common multiple of l(0) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28725?\nAnswer: 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -9 - (21 + (-5 - 19))) + -43?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -35, -128, -311, -614, -1067?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.063 * 0.7.\nAnswer: -0.0441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 31*j**2 + 0 + 0*j + 1\/3*j**4 + 1\/6*j**3. Determine x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/15 + 61*z**5\/15 + 80*z**4 + 150*z**3 - 594*z**2. Solve r(p) = 0.\nAnswer: -15, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27 times -2?\nAnswer: 2.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010111101000101001010 (base 2) in base 15?\nAnswer: -ec6574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 1680.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -19*c + o, 0 = -26*c + 3*o - 340 + 236 + 180 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15056 - -271099\/18. What is the common denominator of p and -47\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17538.489 + -13028465.\nAnswer: -13010926.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(15)\/sqrt(125)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - v**2 + (2*v - 5*v + 0*v)*(-3*v - 2*v + 3*v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + a**2)*((2*a + 0*a - 3*a)*(a - 4*a + a) + 4*a**2 + 1 - 1).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10871385 or 10871429?\nAnswer: 10871385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 16 = 4*d - 4, -3*h - 5*d = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8555*r**2*v + 2961*r**2 - 362*r*v + 65361*v wrt r?\nAnswer: -17110*v + 5922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -50*w**2 - 10. Let b(h) = 104*h**2 + 21. What is -6*b(j) - 13*t(j)?\nAnswer: 26*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*v - 14, 2*j = 5*j - 2*v. Suppose -10*n - j*n + 3132 = 0. What is the highest common factor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 14*x + 3. Let r be f(-14). Suppose -a - 5 = -p - 3*a, -6 = -2*p - r*a. Let h be 3 - -1*(p + 2). Solve -h*z = 3*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2766*x**4 - 14*x - 16*x + 13*x + 93 + 23*x wrt x?\nAnswer: -33192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -4) + -3 + (9 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -11.4\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-28) + 1 - 6\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26079.\nAnswer: 3, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5230603 bigger than -5230602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o - o - 9*o)*(-o**3 + 6*o**3 - 2*o**3).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:17 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.15 + 15. Let o = 0.85 - r. Sort -2, o, 2\/13 in descending order.\nAnswer: o, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51591 and 25578.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 2 (c) 4\/5 (d) 0 (e) -1 (f) -179 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, 48, 193?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 2. Let t(l) = -l**3 + 5*l**2 - 3*l - 6. Let b be t(5). Let z(j) = -5 - 2 + 23 - 4*j - 9. Calculate b*s(m) + 6*z(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104.39 + 104.3900013375. What is u rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1 - n**2 - n**3 - 2*n**2 - 3. Let v be q(-4). What is the highest common divisor of v and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from nvnzznzayvnann?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 6*q**2 - 49*q - 10. Let m be k(4). Solve -x + m = -7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4461)\/(-202232))\/(6\/17).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -23. Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**2 + 3*q + 28. Let o be 198\/(-6) - (1 + (-1 - -2)). Let t = o - -30. Calculate p(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 596\/48585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r - 26502 = -555704 - 129248. Which is smaller: r or -10129?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Suppose 14 = -l + 8*l. Let d be (l - (-7)\/(-3)) + (-91)\/(-39). Solve s = -v + d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -4*l - 104 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 4. Suppose 0 = -4*r + 3*v + 14 + 28, -5*r + 3*v + 51 = 0. Let x = k - r. Put -1, x, 2 in descending order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and -118391?\nAnswer: -8287370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 15. Let b(q) be the second derivative of -q**3\/6 - 2*q. Give n(b(s)).\nAnswer: 2*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.21712 millilitres to litres.\nAnswer: 0.07421712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409 rounded to the nearest 10?\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -1, -5 in ascending order.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14023 from -712.\nAnswer: 13311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = 3*n - 57406, -x = 4*n - 76564. What are the prime factors of n?\nAnswer: 2, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*u + 7 = -11, 5*b + u = 21. Suppose 0*r - 11 = 11*r. Let x be (r + (0 - -1))\/(-1). Put b, x, -5 in decreasing order.\nAnswer: b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kssk when four letters picked without replacement from {s: 9, k: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 48*a**2 + 22*a + 60. Let h be o(-16). Let b be (6 - (-10)\/(-5)) + h. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.839 - 1.12702.\nAnswer: -11.96602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 327*f**3 - 2*f**2 - 7*f - 5. Give g(-1).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 5. Let r be i(-4). Let p be 400\/28 + (-6)\/r. Suppose 0 = 2*s - 3 - 1. Solve -2*k = 3*a - 9, s*k - 5 = -5*a + p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 511672.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3192 = y - 3183, 5*l = -5*y + 5 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -902 - -2216. What is the highest common divisor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 14. Let s(k) = -15*k + 19 + 2*k + 12*k. Is s(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476 = -3*c + 5*y - 4*y - 1660, y = 4*c + 244 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 45. Let t = l + 7. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473 less than or equal to 5089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**6 - 1247*c**3 - 148*c**2 - 1058*c wrt c?\nAnswer: -1080*c**3 - 7482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. What is the remainder when 18 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 701699964*r**3*x**3 + 2*r**3*x - 5079*x**2 - 17747*x wrt x?\nAnswer: 4210199784*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/10 - 13*c**4\/2 + 169*c**3 - 2197*c**2 + 2*c + 4073. Factor p(b).\nAnswer: 2*(b - 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 34*v - 19*v - 36. Sort -4, 3, v, 21 in descending order.\nAnswer: 21, 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/u**(1\/2)*u)\/u))\/u)**(31\/2)*((u*u*u**(2\/5))\/u*u)**(5\/9) assuming u is positive.\nAnswer: u**(-263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 140. Let r = 32 + z. Let g = -50 - r. Solve u = g*o - 3*u + 4, -3*o - u = 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 42*n**2 - 47*n + 224. Give m(-41).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9251870 and 488.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 1. Let d(n) = -3*n + 1. Determine 6*d(y) - 7*u(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 9. What is the smallest common multiple of 20 and n(-5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234994?\nAnswer: 2, 29, 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((sqrt(13) - (sqrt(13)*1 + sqrt(13))) + -3) + 2 + sqrt(468))*6.\nAnswer: -48 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s - 11*s - 4*s + (5 - 2 - 1)*(2*s - 5*s + 4*s) - s + 5*s + 2*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010184093.\nAnswer: 3, 97, 521, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4*v + 196, -2*q = -4*v - 51 - 33. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1366\/13 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52\/5 - -10. Suppose 42*c + 2424 = 828. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1037 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 5271\/(-231) - (-1 - (-9)\/11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 1. Let q(r) = -4*r + 1. Suppose 0*s + 20 = 2*s. Suppose -4*v + 11 = 3*c - 9*v, 0 = 2*c - 4*v - s. Determine c*u(p) + 2*q(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 433406741 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55492 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 14*p**2 - 58*p + 17. Calculate w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 19847.67, 1, 4 in descending order.\nAnswer: 19847.67, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 8 (b) 0.44 (c) -2 (d) 24 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(-22\/7)\/(u*u*u**1\/u)**(-27))\/((u**1)**3)**34 assuming u is positive.\nAnswer: u**(-325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/49)*a**(-1\/50)*a**(-1\/15)\/(a\/a**(-27)*a))**39 assuming a is positive.\nAnswer: a**(-2777281\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -306\/1711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 30*d**3 - 27*d**2.\nAnswer: -3*d**2*(d + 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, w: 7}. What is prob of picking 3 f and 1 w?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -213, -218, -223, -228, -233, -238?\n\"Answer: -5*l - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n + 15. Let q be (-8)\/48 + (-266)\/(-12). Let o = q - 18. Put o, 0, n in decreasing order.\nAnswer: o, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1457690 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -1\/5, -505, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69501083.\nAnswer: 17, 4088299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5\/18 (b) 1 (c) -1605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -403 + 402.9. Let t = 36.3 - 36. What is the second smallest value in 0, r, t, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24466 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2 + 96384*d - 1161234432 = 0.\nAnswer: 24096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -22*z - 2. Let i be g(-2). Suppose -d + i = -209. Let j = d - 93. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(2*sqrt(864)).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -253, 5, 17, -3, -5 in decreasing order.\nAnswer: 17, 5, -2, -3, -5, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) - -1*sqrt(784))\/sqrt(7).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7373066 tonnes to micrograms.\nAnswer: 737306600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*f**2 + 2\/9 - 4\/9*f.\nAnswer: 2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a5702 - 1?\nAnswer: -7a5703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/(-69) + 28\/84. What is the biggest value in 1, -3, -5, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 4. Let p be y(3). Let d be (-3 - -1) + (p - 1). Let h = -1.26 - -5.26. Which is the nearest to d? (a) -0.13 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-22) - 2*(-38)\/308. What is the third biggest value in -5, p, 2.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 148, -18, -5, 2 in descending order.\nAnswer: 148, 2, -5, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 68. Let y = 11 + -10.7. Suppose -5*l + 2*l = 0. Which is the third biggest value? (a) l (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 845\/11 + -77. Let m = 0.104 + 0.096. Which is the closest to 3? (a) -1 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(2\/15). Let o(b) = -j*b - 3 + 4*b + 3*b + 1. Let s be o(2). Solve 3*p - 1 - s = 3*x, 2*p + 5*x + 26 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 4354810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -6587, 3\/5 in ascending order.\nAnswer: -6587, 1\/6, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 0*w**2 - 1\/5*w**5 + 0*w - 1 - 1\/6*w**6 + 1\/4*w**4 + 1\/3*w**3. Determine f, given that m(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.4 (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212\/(-53)*3\/(-3*14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 2. Let m(j) = 7*j - 228. Let v be m(33). What is s(v)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - -699771\nAnswer: 699770.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/(-14) + 2\/14. Suppose 148 = -4*w + 4*o, -w - j*w - 175 = 5*o. What are the prime factors of ((-3)\/(-2))\/(w\/(-696))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (sqrt(1700) + -1 + -5 + sqrt(1700))**2) - (1 + sqrt(1700) + -5 + sqrt(1700) + 1 + (1*sqrt(1700))**2 + 5))*3.\nAnswer: -25626 + 660*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*4\/(-2))\/(-2). Let u = 3 - l. Let w(b) = -4*b - 2*b**2 + 2*b**2 + 0 - 2*b**u - 3. Let m(d) = -3*d**2 - 5*d - 4. What is 3*m(i) - 4*w(i)?\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109683805 a multiple of 3620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2354525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -661 + 664. Solve 4*o + l - 15 = -4*c, 5*c - 13 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4625 - -4699. Calculate the remainder when 2663 is divided by z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 8*u**2 - 2 + 1. Let l(s) = 3*s**2 - 2*s + 3. Let v(o) = 2*o**2 - 3*o + 4. Let t(n) = 3*l(n) - 2*v(n). Calculate -4*d(f) - 3*t(f).\nAnswer: f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -394, -422, -452, -484, -518, -554?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132999 - 92314*t**2 - 132999.\nAnswer: -92314*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.6352 days to nanoseconds.\nAnswer: 75222881280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 704808968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40405396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8843, -8379, -7837, -7223, -6543, -5803?\nAnswer: -5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + 6*h**2 + 2. Let p(a) be the first derivative of -5*a**4\/4 + 7*a**3\/3 + 2*a - 93. Give -6*k(x) + 5*p(x).\nAnswer: -x**3 - x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2526, 4796, 7058, 9312, 11558?\n\"Answer: -4*a**2 + 2282*a + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-8))\/(((-195)\/5)\/(-390))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(80)*2)**2 - (sqrt(160)*-2 - sqrt(160))\/sqrt(2).\nAnswer: 12*sqrt(5) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.419 - -1.419. Which is the nearest to 8\/9? (a) f (b) -18 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjkjhhj. Give prob of picking 1 h and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:31 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saaoo. What is prob of picking 2 o and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2 - 6*d - 9*d - 2*d. Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzvvk. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 - 79 = -2*h, 4*y = 8. Suppose 3*v - h = 7. Solve -3*o = -v + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*m - 23 = 0, -69 = -5*t + 4*m + 14. Solve b + 2*b = -t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 28.56. Round f to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 - 52 + 5)*(-5 - 196*s**2 + 53*s**2 + 100*s**2) as j + g*s**2 + x*s and give g.\nAnswer: 3182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 144.24 (b) 0.5 (c) -2 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-16))\/d)**(-47)*d**(1\/26)\/((d\/d**(-32))\/d))**(-9) assuming d is positive.\nAnswer: d**(183447\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1. Let w(i) = -i. Let l(m) = 3*w(m) - z(m). Suppose 3*q - 9 + 0 = 0. Suppose -5*o - 17 = -4*b, -o - q = -b - 0*o. What is l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 10054343?\nAnswer: 10054344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -15 - -11 - 46?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 3*p)*(-p**2 + 0*p**3 - p**3 - p**2 + (2 - 2 - 2 + (-53 + 68 + 69)*(-6 + 16 + 3))*(3*p**3 - 3*p**3 + p**3)).\nAnswer: 2178*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/5)\/d*(d\/d**(-5)*d)\/d)\/(d**5\/(d**(2\/3)*d)))**(-8\/3) assuming d is positive.\nAnswer: d**(-272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(3*22\/(-3135))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 3*n. Let t be j(3). Suppose t*h + 27 = h. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 42*o + 42. Let r be p(-13). What is the highest common factor of r and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -143. Is m greater than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6596 + 19793\/3. What is the closest to l in 4, -2, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84714 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5496l in millilitres?\nAnswer: 1549.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282.479 - -0.479. Let c = -282.2 - a. Which is smaller: c or -5\/74?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 + 4.7. Let g be 3\/(-15) - (-22)\/10. Let b be 2 - g\/2*0. What is the third smallest value in o, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsddqddqddsysj. What is prob of picking 1 s, 1 y, and 1 j?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -27.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 1009*k - 1010*k + 988, 0 = -4*j. Calculate the remainder when k is divided by 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/320898 and -19\/110442.\nAnswer: 74769234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 696 + -694. Solve 3*o + 14 = f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a8359 (base 11) in base 2?\nAnswer: -11101011000010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15763.781 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {z: 1, x: 4, m: 11, w: 3}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -120120200222000?\nAnswer: 120120200222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 16*w - 15. Let r be z(17). Let m = 8 + -4. Solve k - r - 8 = v, -m*v = -k + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/23)*(a*a*a**(-2))\/a)\/(a**(-1\/8)\/a*a**(-1)\/a)*a**(-2\/9)*a*a\/((a*a*a**(-1\/5)*a)\/a)*(((a\/(a**(-2\/5)*a))\/a)\/a)**36 assuming a is positive.\nAnswer: a**(-458797\/8280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 40. Let h = -118 - p. Let f be (-1 - h)*(-1)\/(-6)*0. Solve -5*r - 3*a - 34 = f, 9*a - 4*a + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.72976 and 24.641?\nAnswer: 20.91124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-3*25840\/(-120). What is n rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + -110. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12700747*x - 11362953.\nAnswer: 12700747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/1227497?\nAnswer: 7\/1227497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -51. Let d = h + -15. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*m = 4*j - 20, -5*m - 35 = -5*j. Suppose -48*u + j = -50*u. Do -5\/2 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147714026 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.03137 + -0.96863. Let c = -13\/18 - -2\/9. What is the closest to n in 1\/7, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2167, 10652, 24791, 44578, 70007, 101072, 137767?\n\"Answer: -c**3 + 2833*c**2 - 7*c - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(110)\/sqrt(2))*4)\/((-3*sqrt(5) + sqrt(5))*-2) - (-1*sqrt(33)\/sqrt(3) + sqrt(132)\/sqrt(12)*1)**2.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/52821 and -34\/5869?\nAnswer: 52821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a factor of 14082428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - s + 16. Let q(y) be the third derivative of y**s + 0 - 1\/60*y**5 - 1\/12*y**4 + 0*y - 1\/6*y**3. Let q(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*r + 149*r + 38*r**2 - 5 - 74*r to p*r**2 + x + u*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5 + ((-205758)\/(-5390) - 39)\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + (-2)\/(-2). Sort 0, a, 2 in descending order.\nAnswer: 2, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 5 + 0\/1. Let g be 7\/(-28) - (-69)\/4. Suppose -g = -d*z - 5. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 9) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 199, 352, 545, 784?\n\"Answer: v**3 + 11*v**2 + 79*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpp when three letters picked without replacement from nttmmpndttnttmmdt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*0.91434.\nAnswer: -31.08756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 14\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - (-16 - -2)*(-4 + (-18050)\/(-20)).\nAnswer: 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 5*a = 24*d + 15, 0 = -d - 4*a + 22. Is (-1821 - -5)*d\/(-8) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 60*q**2 - 57*q + 113. What is x(-59)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001146 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 104*i - 61. Let r be s(4). Let t = r + -355. Solve 40 + t = -8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2354336\/167442 - 7*2.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2134802 divided by 22\nAnswer: -1067401\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114\/7 - 16. What is the smallest value in -0.3, 1, -2\/7, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 36 = 78. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -721*a + 26656. Determine l(37).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5073*r = -5070*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2144 (base 5) to base 6\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876835134?\nAnswer: 2, 3, 7, 271, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 + 6*s + 2. Let n(m) = 3*m**3 - m**2 + 5*m + 1. Let f(z) = -5*n(z) + 4*u(z). Is f(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -221, -364, -509, -656, -805?\n\"Answer: -g**2 - 140*g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52124091 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-36)\/(-6) - 92. Let j be (y\/10)\/(32\/(-560)). Calculate the highest common divisor of 147 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 7*j - 4. Let y = 16 - 9. Let c be r(y). Is c <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-3717132.\nAnswer: 4832271.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/5, 0.14, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + m - 22, 3*g + 3 = 5*m - 30. Let o = g + 11. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394762 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 125379473 + 5*f - 125379473.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 3 - (-4 + (4 - 7)). Put -14, -4, h in increasing order.\nAnswer: -14, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*d = -2*d - 10, 2*h = -3*d - 6. Solve -5*y - 5*s + 10 = h, -4*s - 8 = -4*y + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**3 + 3*x**2 - 7*x + 56. Does 52 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/805 and 97\/112.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1031 - 1?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1873574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 15*l = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + (-1 - 8) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27130 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177784.4 centuries to millennia.\nAnswer: 17778.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 1. Let p(z) = -5*z + 232. Let g be p(46). Let o(n) = 1. Determine g*c(x) - 4*o(x).\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Let y(t) = -t**2 + 5*t - 5. Let d be y(4). Let v(a) = -a**2 + 5*a + 34. Let x be v(30). Let m = -713 - x. Let w(n) = n**2. Give d*l(b) + m*w(b).\nAnswer: 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2209 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4512 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3006733?\nAnswer: 3006733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -2. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 1. Let j = o + 1.9. Let w = -257\/63 + 27\/7. Which is the biggest value? (a) w (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 13495995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 859 - 862. Let k(u) = -3*u - 5. Give k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1686020283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 225297 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 1.3. Put -1, -2, n in ascending order.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 5*m + 5. Let g be c(-3). Let n(k) = k**3 - 7*k**2 - 6*k - 6. Does 3 divide n(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1824 and -5\/352.\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from gggagfgagggmgugwga?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8) + sqrt(576)\/sqrt(2)) - sqrt(133)\/(sqrt(567) + sqrt(567)*1).\nAnswer: 11*sqrt(19)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -291.2012832 - -291.2. What is s rounded to five dps?\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-19)\/((-19)\/6). Let f(b) be the first derivative of -8 + 0*b**3 + 3\/2*b**2 + 7\/4*b**4 + v*b. What is the second derivative of f(c) wrt c?\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1100020?\nAnswer: 1100023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 + -224873?\nAnswer: -2248a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 38 - 3\/6*-4. Let b = 99 - u. Let f = -28 + b. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246941*o**2 - 124078*o**2 - 123377*o**2.\nAnswer: -514*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 26. Let h(p) = 220*p - 3. Is h(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 4 (b) -3\/2 (c) 56 (d) -5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/n**5))\/n**5*(n**(-1))**(1\/9))**(-3\/17) assuming n is positive.\nAnswer: n**(1\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*u + 6, -o + 2*o = 3*u - 11. Let z be 17\/o + 5\/(-4). Suppose -z*p + 4 = -5. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d - 64 = 9*d. Let g(p) = p**3 + p**2 + p. Let y(v) = -36*v**3 + 2*v**2 + 2*v - 274. Let s(r) = d*g(r) + y(r). Differentiate s(c) wrt c.\nAnswer: -114*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65481312.\nAnswer: 2, 3, 13, 71, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 2*l. Let a be k(2). List the prime factors of (-39)\/1*8\/a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 471386412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtwddptpdtdtdd. What is prob of sequence pwpt?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1872) + 3 - sqrt(1872) - (5 + sqrt(1872) + (sqrt(1872) - 2*sqrt(1872)))**2)*-3.\nAnswer: 66 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462166 and 18?\nAnswer: 4159494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1753032 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28790741*c**2 + 28790741*c**2 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 1, a: 1, g: 2, q: 12, t: 1}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d - 3*k + 1 = 0, 4*d + 4*k + 20 = 0. Let u(a) = a**3 + 7*a**2 + 4*a + 5. What is u(d)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -28 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/100*(15\/(-6) + 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/8*(-1 - -11). Let d(b) be the first derivative of 1\/3*b**3 + 0*b + 0*b**2 + 3 + 0*b**4 - 3\/5*b**i. Find the third derivative of d(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -48. Let a = -40 + c. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 4\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.05, 6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23035 + -9337. List the prime factors of o.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66861\/95 - (-2)\/10.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 26 = i - 16, -33 = 5*z - 4*i. Let b = -7 - z. Solve b*n - 17 = 3*a, 0 = -2*n - 4*a + 1 - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 239 (b) -3136\/5 (c) -4 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 - 4*w + 1. What is the remainder when 50 is divided by b(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 270611625 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293889 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -4.1. Which is the third smallest value? (a) 5 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1010 + -1742. Let z = k + 1076. Let f = -181 + z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-32)\/(-16). Let t = -7 + 11. Solve x - t = 4*q + 1, -j*q = -2*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k*k*k\/(k**(-5\/3)\/k)))\/k)\/(k\/(k**(9\/5)\/k)) assuming k is positive.\nAnswer: k**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 24*n = 3*l - 11085, -n + l + 2217 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2353?\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115562 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38130 and 8897.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 33*w**2 + 6*w - 1. Let a be l(2). Suppose -6*o + a + 19 = 0. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 + 6*r + 6. Let k(q) = 2*q**2 - 16*q + 10. Let t be k(7). Let u be b(t). What is the units digit of 4 - -78 - (u + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l. Let j(d) be the first derivative of -701*d**3\/3 - 597. Determine j(a(n)).\nAnswer: -25236*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(-1 + 4)*292. Suppose -a = -2*t + t + 330, a = 4*t - k. What is the greatest common factor of 123 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/11983267 and -59\/11346.\nAnswer: 71899602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368 - 4*x**2 + 1077 + 1260.\nAnswer: -4*x**2 + 1969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a*j**2 - 4*a*j - 5*j**5 + 3*j**4 + 5*j + 6 wrt j?\nAnswer: -8*a - 100*j**3 + 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:39 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + r + r - 5*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehee when four letters picked without replacement from eheehhhehehee.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 3342096 in decreasing order.\nAnswer: 3342096, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**2. Let s(j) = 3*j**2 - 13*j**2 + 10*j**2 + 9*j**2. What is v(s(y))?\nAnswer: -567*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-18)\/5*(-7250)\/(-3). Round p to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19452 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(396)*-1 + -4 - (-5 + 2*sqrt(396) - sqrt(396)))**2 + -3 + (-1 + 2*sqrt(396) - sqrt(396))**2 + -1*sqrt(396)*2.\nAnswer: -7531 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2006?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 - 8*r)*(63*r - 63*r - 95*r**3 + 246*r**3).\nAnswer: -1208*r**4 - 151*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f**2 + 2. Suppose -v + 3*d - 69 = -64, -2*d = v - 5. Let p(z) = z**2 - 1. Give v*t(a) + 2*p(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.9 + 0.6. Let z = -31.8 - s. Sort 1\/4, -9, z, 0.5 in descending order.\nAnswer: 0.5, 1\/4, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 429*z + 432*z - 862*z.\nAnswer: -z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {i: 1, s: 1, m: 7, t: 2, e: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(-2 - (-32)\/40). Let j(d) = -5*d**3 - 2*d**2 - 1. Let w(g) = g**3 - g**2. What is m*w(r) + j(r)?\nAnswer: r**3 - 8*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 6*q**2 + q - 6. Let m be s(6). Let u(f) = -4 - 5*f**2 + m*f**2 + 7*f + 4*f**2. Determine u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352399 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o + 7. Let j = -2 + 4. Let f(g) = -2*g + 3. Calculate j*i(d) - 5*f(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, 18234 in decreasing order.\nAnswer: 18234, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 2. Let j be -5 + (-1 - -3) + 0. Give r(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 1. Let s be 3*2\/(1\/(-1)). Determine u(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 9. Let h be (-25)\/1*1 + r\/3. Let o = -6 - h. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5739\/5 - 1145. What is the closest to 0 in -5, -6, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*c + 2*g = -88, -152 = -3*c - g. Let t be (-74)\/(-14) - (-8)\/(-28). What is the remainder when c is divided by 26*3\/(t + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsvs when four letters picked without replacement from vsvssssv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55\/4 + -267\/20. Let u(g) = -g**2 + 6*g + 3. Let v be u(6). Solve -16\/5*k - 38\/5*k**2 - 24\/5*k**v - a = 0 for k.\nAnswer: -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3604 - -39605\/11. What is the common denominator of 91\/2 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:59 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037187457 to 6 decimal places.\nAnswer: 0.003719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.29 and -1.5493?\nAnswer: 1.2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/5 - 22*y\/5 + 56\/5 = 0 for y.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 62146.305us?\nAnswer: 0.0000172628625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 81, 2, -1, 3 in increasing order.\nAnswer: -5, -1, 1, 2, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1110*b*h*o*v + 41*b*h*v**3 + 2*b*h*v**2 + b*h*v - 4*b*o*v**3 + 12*b*o*v + b*v**3 + 5*h*v + 2*v**3 wrt o.\nAnswer: 1110*b*h*v - 4*b*v**3 + 12*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 8*c - 7. Let q be s(-9). Let k(o) = 4*o**2 - 2*o + 3. What are the prime factors of k(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 2 + (-1 - -1). Let i = r - -3. Find the second derivative of -l**2 - 3*l + 4*l + 0*l**i wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-35)\/15))\/(6\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5 - -7) + -10 - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:36 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -22) + (3 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p**2 + 12. Let m(u) = -u**2 + 1. Let q(i) = 12*m(i) - y(i). Let r(d) be the second derivative of -d**4\/12 - 2*d. What is r(q(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-36)*-46 - 515\/618.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (-8 - -22 - 12) + 3 + (0 - -1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-35) - (-61)\/305)\/(50\/(-7)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-6))\/j*j*(j*j\/((j*j**(1\/7)*j)\/j)*j)\/j*j**(3\/5)\/(j*j\/((j*(j\/j**12)\/j*j)\/j)))**19)**24 assuming j is positive.\nAnswer: j**(-72504\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 237973007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 15*k**2 - 2*k - 237. Let m(s) = -23*s**2 + 3*s + 355. Let d(n) = 8*b(n) + 5*m(n). Is 33 a factor of d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 - 40*c + 374. Is k(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 1}. What is prob of picking 2 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008)*2 + 4)*-4 + -1 + 3)*6 + 5)**2.\nAnswer: 91008*sqrt(7) + 2328673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 266*f**2 + 2 - 11*f**3 + 7 + 13*f**3 - 2 + 97*f**2 with respect to f.\nAnswer: 6*f**2 + 726*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u*z**3 + 1320299*u*z**2 + 2024*u*z - 26*z**3 - 2337 wrt z.\nAnswer: -6*u*z + 2640598*u - 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (8 + 0 + (16 - (57 + -29)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*k - 139*k + 38*k + 3*k - 131*k as r + z*k and give z.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-7 + (12 - 3) + -10 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = 5*l - 3*h, -4*h - 23 - 193 = 2*l. Let v = l + 108. Solve -v = 2*b, -5*i - b = 2*b + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23816 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:00 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39020*i + 76591*i + 15037*i - 19871*i - 8880*i)*(-3 + 5 + 0)*(-1 + 0 + 3) to the form p*i + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 8538*p**2 + 8539*p**2 + 15.\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 8. Let w be l(3). Let n = 4 - 3. Find the common denominator of ((-876)\/(-8))\/(n - w) and 75\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384137.\nAnswer: 13, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/3, 1\/10, 2, -763.5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-2)\/(24\/222) and -13\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2637 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/24, -3, -17 in increasing order.\nAnswer: -17, -3, 5\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 + 11 + 4*i**2 - i**2 + 0*i**2 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 168648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10732, 42933, 96602, 171739, 268344, 386417, 525958?\nAnswer: 686967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/65, 4, -2, -1\/7?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14111.38 or 0?\nAnswer: 14111.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15154 = 2*o + 2*r, 2*r + 15153 = -2*o - r. Let d be (-23)\/o*-2003 - -1. Let x = d - -10\/421. What is the common denominator of 87\/16 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.9616 litres in millilitres?\nAnswer: 283961.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 2 y when four letters picked without replacement from {w: 2, y: 6, v: 3, d: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - r - 2 + (-1 - 3 - 3)*(-22 + 22 + 56*r) to s*r + f and give s.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2292 (base 13) to base 8\nAnswer: -11363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356928, 713719, 1070510?\nAnswer: 1427301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let k(x) be the first derivative of 0*x**3 + 0*x**2 + 7 - 1\/6*x**4 + 3*x. Let c(r) be the first derivative of k(r). Give y(c(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.901 + 2.099. Which is the second smallest value? (a) k (b) 5\/7 (c) -0.1 (d) -0.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.3. Let a = -28.6 + -5.4. Let c = a + 29. Sort s, c, -0.3, -1\/4 in increasing order.\nAnswer: c, s, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -10, 5 in increasing order.\nAnswer: -10, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2935, -7357, -11733, -16057, -20323?\nAnswer: -24525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 8423.\nAnswer: 8\/8423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 7:29 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1148*f + 18 = 1151*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*t + 6, 0 = 3*q + 2*t - 15 - 1. Let j be (-399998)\/(-5)*1 + q\/10. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 5\/804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + (7 - 4 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2\/((-612)\/309 - -2) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + p - 3*p)*(-2 - 3*p + 2 - 4 - 17*p + 4 + (4 + 3*p - 4)*(1 - 2 + 4) - 5*p + 0*p + 2*p)*(2*p + 0*p - 4*p) as w*p**3 + i*p + v*p**2 + q and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 145\/17307 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvcccfic. What is prob of picking 1 f and 1 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-55) + 0 - 2. Factor 0*s + 4\/11*s**2 + 0*s**3 - g*s**4 - 2\/11.\nAnswer: -2*(s - 1)**2*(s + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75815 divided by -5.\nAnswer: -15163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 10. Let m(w) = -2*w - 7. Let v be m(j). Suppose l = -4*c - 1908, 0 = v*l + 5*c + 306 + 5404. Round l to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -5 (c) 35 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 + 22.7. What is the nearest to t in -2\/3, 1, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4966044 to the nearest integer?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-12568)\/(-24) - (-3)\/9.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/6 + 2*l**3\/3 - 3*l - 2. Let x(w) be the first derivative of z(w). Factor x(t).\nAnswer: 2*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 2\/34395 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6\/13, -1, -3.\nAnswer: -3, -1, -6\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 25*v - 26*v + 54, -20*u - 135 = -6*v + v for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000090784 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 7*m**2 + 8*m + 4. Let l be a(-8). Let h be l\/(-6)*24\/(-2). Let d be (0 - -1)\/(h\/408). What is the greatest common divisor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:27 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = -5*r - 13, 0 = -4*q - 3*r - 1. Suppose 0 = -2*j - 4, 0*m + 2*m + q*j + 20 = 0. Let v be (-2)\/m - 1842\/(-24). Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35121, -142807, -322287, -573561, -896629?\nAnswer: -1291491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -374985*h + 480. Let w be r(-32). Round w to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.2, 1\/2, 0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1224941, 2449883, 3674825, 4899767, 6124709, 7349651?\n\"Answer: 1224942*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 6*l - 580 = 0. Suppose -l = 5*y - 358. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 1:52 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21283529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4459 (base 11) to base 2.\nAnswer: 1011011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 6*h - 99. Determine t(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 18 + 12. Let d = -14 + g. Let u(l) = -4*l - 11. What are the prime factors of u(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -90197, -90007, -89817, -89627, -89437, -89247?\n\"Answer: 190*n - 90387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-15)*(-115)\/23 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278 + -269. Suppose -2*x + 4 = -2. Suppose 4*s + x - 15 = 0. Solve 0 = -s*b + 3 + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 2. Let u(f) = 9*f - 4. Suppose g = -2*l - 3, g - 30 = -g + 5*l. Give g*j(n) - 2*u(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-4))\/(4\/40). Let g = 70 - b. Is 32 a factor of (-158)\/g + (-4)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 - 517*o**3 - 21570*o**2 - 252576*o - 120960 = 0. Calculate o.\nAnswer: -210, -24, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 1\/27 (b) -0.23 (c) -0.125 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000301535 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u. Let t(g) = -263*g. Calculate x(t(o)).\nAnswer: -1578*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*r - 245*r - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/182 and 59\/45020150?\nAnswer: 585261950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**4 + 31*v**4 - v**2 - 12*v**4 - 9*v**4 + 6*v as k + l*v**3 + j*v**2 + a*v**4 + y*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n**2 - 3. Let a be c(-3). Suppose -a = -5*d + 5. Calculate the remainder when 19 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-7)))**(1\/24)\/(y**(-8\/3)\/(((y\/(y\/y**(-11))*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 121 + 119 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5372 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + l = -117, 4*w + 4*l + 123 = 9*w. Suppose 104 = w*c - 149. Solve c = -5*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 248*y**2 - 16*y + 66. Let h(x) = -50*x**2 + 3*x - 12. What is 11*h(g) + 2*t(g)?\nAnswer: -54*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -537000 rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 266.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1258994 and 5736203.\nAnswer: 7073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 106935252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -21*n - 1. Suppose 4*m + 16 = -4*t, 3*t + 7 = 2*m - 0*m. What is the remainder when q(m) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*x = 60 - 1320 - 1224 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.0602\nAnswer: -0.2408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 127*h + 3185. What is the least common multiple of 5536 and t(-25)?\nAnswer: 27680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -1 (c) 20712669\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 plus 6296?\nAnswer: 6295.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 802\/16 - (-1 + 1). Let t = k + -50. Let y = -1159\/3048 - -2\/381. Which is the closest to -1? (a) -2\/5 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by ((-9)\/4)\/(978\/(-192) - -5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -60. Suppose w*c - 4*c = 1204. What are the prime factors of c?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*q - 37 = -25, -5*l - 4*q - 2 = 0. Let g be (-6)\/24 + 1965\/(-12). Sort g, -4, l.\nAnswer: g, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -65*s - 1288. Is n(-56) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -625 - -629. Solve 0 = -0*x + x + 3*z - 19, -k*x = -4*z + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -4\/3*k**3 - 3*k - 2*k**2 - 2 + 1\/4*k**4. Let f be j(5). Solve -f*x + 1 = -7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o + 10. Let b(d) = -6*d - 11. Let k(s) = -6*b(s) - 7*v(s). Let i be k(9). Let q(t) = t**2 - 5*t + 2. Give q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344.18 - 10.32. Let q = v - -354. Suppose u - 9 = -0*u. Which is the nearest to -1\/2? (a) u (b) 3\/8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-4))\/(-4*1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(9)\/(sqrt(12)*-3 + sqrt(3))) - (2 + sqrt(108) + 1 + (sqrt(108) + sqrt(108)*2)*1)**2*6.\nAnswer: -10422 - 4317*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002887 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27722 - 12855. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 8*p**2 - 104*p - 5. What is h(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430)*1)\/sqrt(6))**2 + -1 + -4.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 5, z: 2, m: 3, q: 3}. What is prob of sequence gggm?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 17025 = 114*s - 1225*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrxr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (33\/10)\/(1\/6). Let k = 886\/45 - o. Let m = -65 - -389\/6. Which is the nearest to -1? (a) 6\/5 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, 3, -0.3, -7, -6\/5, -0.7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 1. Let f be ((-4)\/l)\/(22\/12). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from fgqpx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(10\/8))\/1. Suppose -2*f + 4 = -u*z, 5*z + 5 = 3*f - 0. Calculate the remainder when f\/1 + 12 + 6 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -35. Suppose -r*o - 7*o = -352. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464085681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 151 = -5*c + 4*n, 4*n = 4*c - 124. What is the common denominator of 60\/c + 3 + -3 and (1074\/(-90) + 5)\/((-2)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002\/47 not equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-50 + (53 - 39)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -1 + 74 + 32 + -24. Which is bigger: 88 or t?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 164 + 76. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**8*g)\/g)\/g)\/g*g*g\/g**(2\/29)*(g**3)**(-5) assuming g is positive.\nAnswer: g**(-611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124345 is divided by 3657.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d + 28*d - 5 + 1 + 17*d - 87*d + 2.\nAnswer: -19*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 2, a: 1, i: 3}. What is prob of sequence za?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 115 - 111 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49.876 - -0.124. Let d = s - 27. Let b = -23.000009 + d. What is b rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 89\/2 of a hour?\nAnswer: 2670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 8237 + 298 = 531. What is the greatest common divisor of s and 1936?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) 1 (b) 1\/3 (c) 2 (d) -2 (e) -1 (f) 597\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + -1 + sqrt(704) - (sqrt(11) - (sqrt(33)\/sqrt(48) + sqrt(11))**2).\nAnswer: 259\/16 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o - 1. Let c be d(0). Let m be 2*(-1)\/2*c. Suppose 2*j - 27 = 4*k + m, -j + 3*k = -15. Solve j = 3*p - 6*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15497691607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n + 36*n = -3*d + 84, -4*n + 2*d = -84. Calculate the greatest common factor of n and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.006+-6\nAnswer: -7.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/(-70))\/((-294)\/(-210)))\/((-1)\/(-6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760 = 3*u - 1340 - 1499. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2403 - -31237\/13. Is q <= -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f + 10. Suppose 2*s - f = 2. Let k = -4 + 7. Solve v + s = -k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-802)\/(-12)*1 - (-8)\/(-12)*(-26)\/104\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 21, -i + 4*i = 5*w + 29381. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 2. Let g be w(2). Suppose g = 3*i - 0*i + 54. What is the units digit of i*-2*(-3)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + ((sqrt(343) - (sqrt(343) + -2)) + sqrt(343) - sqrt(343)))**2 - sqrt(21)\/(sqrt(324)\/sqrt(3))) + -3.\nAnswer: -27 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35751267 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a8146 - 5?\nAnswer: 4a8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7894 + o**4 + 7968 - 3*o**4 - 11*o**3 with respect to o.\nAnswer: -8*o**3 - 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 23*w + 6. Let m be u(3). Let j be 310\/m + 2 + -6. Which is the second biggest value? (a) 1 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 5 + 5)*(-2*o**2 + 0*o**2 + 4*o**2) + (12*o - 12*o + 5*o**2)*(-2 + 0 + 3)*(o + 4*o - 3*o).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o + 1\/24*o**4 - 4*o**2 + 0 + 5\/3*o**3. Calculate w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12446 + -12450. Which is the nearest to -0.1? (a) -44\/13 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*g - 44 = 0, 5*j + 5*g + 1164 = 1239 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 11165*o - 11157*o - 62, -5*o + 33 = -2*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89515.82 millennia to centuries.\nAnswer: 895158.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -36717.\nAnswer: 7\/12239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -644 + 521 + (-1 - -27) - -7.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*s)*(4 - 2 + 0) + 2 + 5*s - 2 + (1 + 2 + 0)*(-2*s - 1 + 1) - 56*s - 6*s + 28*s + (1 - 3 + 5)*(-3*s + 4*s + s) as t + f*s and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from fdfddfffff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1525.9? (a) 143 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 15*d - 10*d + 18, -5*p - 10 = 5*d. Suppose -p*g - 5*h = -4*h - 1661, 2*g = -4*h + 1646. What are the prime factors of g?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + t = 9*j + 18, -4*j + 22 = 3*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/14 + ((-51)\/(-204) - 2021\/(-28)). Solve -5*j = -5*a - 35, -f + 51 = -4*j + 2*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -43\/6*t**3 + 0*t**5 + 0 + 14\/15*t**6 - 11*t + 0*t**2 + 0*t**4. What is the second derivative of h(f) wrt f?\nAnswer: 336*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -11. What is the smallest common multiple of r and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3)*3 + sqrt(3)) + 2 + sqrt(245).\nAnswer: 2 + 29*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19904?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 3. Let m(x) = 13*x - 8*x - 5*x + 3 + 3*x. What is -4*m(w) + 5*y(w)?\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 at most as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-10)*j**(-7)*j*((j**(-1\/5)\/j)\/j)\/j*j*(j**(-5\/3)\/j)\/(j\/j**(-5))*j**(-3\/4)*j**3\/j assuming j is positive.\nAnswer: j**(-1537\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -149515, -149508, -149501, -149494?\n\"Answer: 7*y - 149522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.969379 plus -41023?\nAnswer: -41034.969379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 70*a - 6. Let v be m(-1). Let z be (-42)\/(-49)*(-5 + -2). Is ((-969)\/v)\/(z\/(-32)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011013195 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -67. Suppose -9*c + c = 800. Let g = i - c. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 687, -2207, -5069, -7893, -10673, -13403, -16077?\nAnswer: -18689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15211453 (base 7) to base 12\nAnswer: 59a224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 2:05 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -720 + 1554?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210111 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/13 - 14\/91. Solve v - 5 = 3*m, 3*m - 1 = 4*v - q*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.088 in 4, -2, -2.8, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.00821\nAnswer: 0.003284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/56*6\/(-3) + -10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 + 19*165\/66*(-2)\/11. Factor 0 + w*m + 2\/11*m**2.\nAnswer: 2*m*(m + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 - 2*m - 3. Let b(x) = -5*x**3 + 5*x**2 - 9*x - 14. Give 2*b(g) - 11*q(g).\nAnswer: g**3 - g**2 + 4*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*q = 39, -11*k - 4*q - 1218 + 1239 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c. Let g(q) = -q**2 + 2. Let k(m) = -6*m**2 + 15. Let s = -16 - -1. Let t(w) = s*g(w) + 2*k(w). Give t(b(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (8 + (-4 - 0)) - (-3 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + u - 18. Suppose 56 = 3*x + 4*n, 0 = 3*x + u*n - 9 - 45. Let f = -95 + 173. Calculate the remainder when f is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*k = 37 - 10, -5*l = 3*k - 99. Suppose -2*b + 2*t = -24, -t + 6 = -3*t. Calculate the lowest common multiple of b and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(5\/4))\/i*i)**(-4\/7)*i**(1\/25)\/i*i**(1\/16))**(-34) assuming i is positive.\nAnswer: i**(35921\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/8 and -27\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*l = 28, 35 = 4*f + f + 4*l. Suppose -f = -3*o - 1. Let j be o\/4 + 39\/2. What is the highest common divisor of 50 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mee when three letters picked without replacement from {e: 3, m: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1644*z**2 + 2*z + 31368?\nAnswer: -3288*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(432).\nAnswer: -3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11727792 - 4.\nAnswer: -11727796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47634, -50350, -54874, -61206, -69346, -79294?\n\"Answer: -904*x**2 - 4*x - 46726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1679 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 161*v**3 - 4*v**2 + 6*v - 2. What is z(1)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose 5*i - i - 16 = u. Suppose -2*y = q - 18, i*y = 2*q + 25 - 5. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 16. Suppose 4*c = -2*c + 24. Suppose 0 = c*q - 2 - 18. Suppose 10*a - q*a = 0. Give w(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47)\/(-3) - 4\/6. Let y = -11 + x. Suppose o = -y*o + 565. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 4, 2\/105, 11, 2\/11?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 21\/36)\/(44\/((-11968)\/510))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3894*c + 13530. Give r(-4).\nAnswer: -2046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23407 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -61*k**3 - 22*k**2. Let o(x) = 62*x**3 + 23*x**2. Let b(u) = 6*o(u) + 5*w(u). What is the third derivative of b(r) wrt r?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u + 0*u)*(-37*u**3 + 2*u**3 - 9*u**3) as p + r*u**2 + z*u**4 + f*u + w*u**3 and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72539.28mm to nanometers.\nAnswer: 72539280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*p - 5*p. Let q(l) = -91*l - 9. Is q(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154919 = 7*p - 60*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*m - i**3 - 239972*i**2*m - 2*i**2 + 33178*i - 9*m wrt i?\nAnswer: 18*i*m - 6*i - 479944*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 10, 19, 44, 91, 166, 275, 424?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17776 divided by -1804?\nAnswer: 404\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(-3*sqrt(9)*5).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w + 2*w**4 + 192*w**3 - 3*w**2 - 99*w**3 - 92*w**3 to i*w + j*w**2 + g + f*w**4 + d*w**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (68 + -50)) + 47\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120756 divided by 21553.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15538 - 780.96?\nAnswer: -780.80462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 312*u**2 - 63*u - 19610. Determine g(-312).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 10*j + 3. Let u(q) = -2*q**2 + 19*q + 5. Let h(b) = 3*u(b) - 5*y(b). Determine h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:51 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 3\/2)*-4. Suppose 0 = 14*n - 16*n - j. Which is the closest to 1\/4? (a) 0.1 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-10))**10 assuming i is positive.\nAnswer: i**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 24 = j. Suppose 0 = -4*b + j*b - 8. What is the common denominator of 51\/20 and 3\/b*1*(-138)\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cevqr. Give prob of picking 1 q, 1 c, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n + 0*n**3 + 1\/60*n**4 - n**2 + 0 - 1\/300*n**5. Factor g(k).\nAnswer: -k*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12122 + -8402. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipppppippippp. What is prob of picking 2 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 228 = 6*z. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.6 - 72. Let f = -2 - -1. What is the closest to 0 in -2, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 c, and 1 b when four letters picked without replacement from {e: 3, b: 11, c: 1}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29877 and 1311.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76, 92, 112, 136, 164, 196, 232?\n\"Answer: 2*c**2 + 10*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98416080 a multiple of 3220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001786371 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 129*n**3 - 6*n - 148. Let t(w) = 257*w**3 - 10*w - 296. Let h(y) = -3*t(y) + 5*z(y). Differentiate h(g) wrt g.\nAnswer: -378*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*1 + -1*sqrt(84)\/sqrt(4))\/((2*sqrt(3) + sqrt(3))*-6 - (sqrt(3) - sqrt(48)*-3)) + 1 + -3.\nAnswer: -2 - sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -1\/4*i**3 + 15\/4*i**2 - 23\/4*i - 1\/4*i**4 + 5\/2 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 5*k - 2*k + (-4 + 5 - 2)*(6*k + k + 2*k) - 20*k + 3*k - 52*k)*(-k + 2*k + k) to the form y + j*k**2 + v*k and give j.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*x + 60, -5*o + 66*x = 63*x - 75. Solve 343*j + o = 348*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*o + 72*o + 274*o - 157 = 350 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 1 - 1)*(-4364 + 10554 - 20104 - 5927 - 2221).\nAnswer: 22062*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20649934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 16 = -a, 2*t = -36*a + 31*a + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14514 is divided by 144.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2\/3*t**3 + 1000\/3 - 400\/3*t + 50\/3*t**2 = 0.\nAnswer: 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - -8d3?\nAnswer: 8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1699 divided by -6?\nAnswer: 1699\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 13*a - 56. Suppose 133 = 2*y + a*s, 0*s - 4*s = 4*y - 284. What is the highest common factor of y and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97623879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)\/(j\/(j\/j**(2\/19))*j)*(((j*j**(-6)*j)\/j)\/j)\/((j*j\/j**(-3\/2))\/j) assuming j is positive.\nAnswer: j**(-289\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - -2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189462.\nAnswer: 2, 3, 7, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 + 3506*c**2\/5 - 282*c - 2106\/5 = 0.\nAnswer: -351, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1259882 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 20447*m + 18. Let s(i) = 3*i**2 + 15336*i + 14. Determine -7*j(w) + 9*s(w).\nAnswer: -w**2 - 5105*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 347264 + 0.4\nAnswer: 347264.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 5) + (-23)\/8. Let l = 1 - 0.6. Which is the second smallest value? (a) f (b) -5\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k**2 - k - 3. Let f(j) = j + 5. Let a be f(-5). Let h be m(a). Let v be (-1 + 2)\/(h\/(-63)). What is the highest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + (-6973)\/76. Let l be j\/(-32) - 4\/(-32). Solve l = 4*y - 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 38*r\/3 - 28\/3.\nAnswer: 2*(r - 7)*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 11 = 1. Suppose -x*o + 33 = -3*o. Let y be (11\/77)\/(2\/28*2). Solve -y = -3*w + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/(-20)*(-30)\/9. Let h be ((-1)\/3)\/(1\/(-21)). Let s = 11 - h. Solve w = i - q, -i - i - q + s = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 67 = 2*p + 3*p, 0 = 3*v - 3*p - 69. What is the highest common divisor of v and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.02, 5, -17, -3\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 570224304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from pcpppppcppcp.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*f*u*w**3 - 76*f*u + 3*f*w**3 - 2*f*w**2 + 7*u*w**3 + 877*w**3 - 11 wrt u?\nAnswer: -10*f*w**3 - 76*f + 7*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -2*g**2 + 1\/10*g**5 + 1\/3*g**3 + 1\/8*g**4 - 9*g + 0. Let s be k(-1). Which is greater: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0586 and -0.2.\nAnswer: -0.1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133460 is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b - 19*b + 0*b)*(3 - 3 + b + (-2*b + 3*b - 3*b)*(-3 - 1 + 3)) to the form o + j*b + l*b**2 and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-77) + 13\/(858\/296).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187924, 187934, 187950, 187972, 188000, 188034, 188074?\nAnswer: 188120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1751, -1798, -1967, -2318, -2911?\nAnswer: -3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-54))\/(4\/(24\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-5\/6))\/((r\/r**(-4))\/r))\/(r**(5\/2)\/r*r**(-3)) assuming r is positive.\nAnswer: r**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2 - 47. Suppose 3*v = 90 - 129. Let t = v - p. Calculate the smallest common multiple of 1 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 488049 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/11*(5\/20)\/(4\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p + 3 - p + 6*p)*(40 - 40 - 9*p) as m + l*p**2 + s*p and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2 + (-156)\/4. Let m be (-12)\/42 + (-178)\/n. Let g = m - 5. Which is the third smallest value? (a) g (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4503 times 0.14?\nAnswer: 630.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = r + 3*j, 4*j = 4. Suppose -4*g = -4*f - 21 - 7, 0 = -4*g + r*f + 24. What is q in -2\/3*q + 1\/3*q**4 - 1\/3 + 2\/3*q**g + 0*q**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -93*o**2 - 4*o + 4. Let l(f) = 140*f**2 + 5*f - 6. Let b(i) = 5*l(i) + 7*s(i). Find the second derivative of b(y) wrt y.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m, -t + 4*m + 14 = 0. Let b = t - 12. Find the third derivative of a**4 - 4*a**2 + 10*a**2 - 9*a**b wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7925, 0.4, -2\/3, 4, -3 in descending order.\nAnswer: 4, 0.4, -2\/3, -3, -7925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6 and 49\/85931.\nAnswer: 515586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2377854 by -271.\nAnswer: 2377854\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 - 48*k**2 - 45*k**2 + 134*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + i - 13, -2*q - 28 = -0*q - 4*i. Let r = -3 - -4. Let h be 1\/2 - 3\/18. What is the nearest to h in q, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.036 and 0.5.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 25 = -5*f, 0*f = -x + f + 8. Let y = 228 - 230. Let z = 1 + -3. What is the closest to z in y, x, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*b + 5*j - 5, -2*b + 2*j + 4 = 0. Is 2 + b\/(-1) - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from ofoeoeeofoceoeteeee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -1559548507012?\nAnswer: -1559548507011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 + 627*w + 18. Let g(u) = 3*u**2 - 315*u - 10. What is 18*g(y) + 10*j(y)?\nAnswer: 4*y**2 + 600*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152302 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let s(q) be the third derivative of 0 - 1\/120*q**5 + q**2 + 0*q**4 + 0*q + 1\/3*q**3. Let f(l) be the first derivative of s(l). What is f(r(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let v(x) be the first derivative of x**4\/4 + x**3 - x**2 - 3*x + 3. Let d be v(-3). Let n(a) = 0 + 3 - d + 17*a. What is y(n(c))?\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (714 - 0)\/2 + 9 + -10. Suppose 0 = -0*u - 2*u + b. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = v + 23, b + v - 342 + 341 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/42409?\nAnswer: -7\/42409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 0 + 5 + 3 - (-3*sqrt(1100)*-1 - (sqrt(1100) - (sqrt(1100) + -1*sqrt(1100) + -2 + sqrt(1100)))))**2.\nAnswer: -400*sqrt(11) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 1155a33?\nAnswer: -1155a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -204 - -215. Which is the fourth biggest value? (a) -1\/3 (b) 0.5 (c) l (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7\/2, 1, 3, -2, 2195, -0.2 in decreasing order.\nAnswer: 2195, 7\/2, 3, 1, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 12*g**4 + 6*g**4 + 4*g**4)*(-3 + 3 + 3)*(-1 - 1 + 0).\nAnswer: 12*g**4 + 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*l**2 - 332*l**2 - 919*l - 1 + 1 - 8*l**2 wrt l?\nAnswer: -884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 68, 157, 334, 629, 1072, 1693?\nAnswer: 2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -524197*s**2 - 15*s + 524187*s**2 + 2*s**4 - 3 - 4*s**4 as a*s**2 + x*s**4 + g*s**3 + n*s + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1016*n**2 + 2059*n**2 + 3 - 994*n**2 + 1 as s + v*n + f*n**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (2 + -7) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2590 = -121*l + 1645. Let x(r) = 4*r**2 + 1. What is the smallest common multiple of l and x(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64791489 is divided by 443777?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908651.\nAnswer: 2908651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 195?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2. Let p = -9 + 11. Let v(f) = -f + f - 4*f + p*f. Calculate n(v(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b0f (base 16) in base 10?\nAnswer: -6927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -1142032?\nAnswer: 1141442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -353, -3, 9, 0, -2, -1 in decreasing order.\nAnswer: 9, 0, -1, -2, -3, -5, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -9. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21881, 3, -5, 2, -0.1, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/11 (b) -2 (c) 0.6 (d) 1\/5 (e) 2\/27 (f) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 200*w - 195*w = 37, w = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c17 - e2?\nAnswer: -7d09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286423 = 100*c + 287423 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*((z**(-1\/3)\/z)\/z)\/z)*z*z**1\/z*z**(-10)\/(z**(2\/7)\/z) assuming z is positive.\nAnswer: z**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43234 - 28701. What are the prime factors of s?\nAnswer: 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6050 and 602140?\nAnswer: 33117700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cls when three letters picked without replacement from {c: 3, l: 1, s: 4, f: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 1, x: 4, g: 1, a: 1, b: 6}. What is prob of sequence gxn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 724986 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2400 - -423203?\nAnswer: 431103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -133889 divided by 217\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 + 5*u - 4. Let p be q(4). Solve z + 3*z = -p, -5*t = -z + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 7092\/(-1096)) + 10\/(-5). Let y = o + 4\/137. Which is the nearest to y? (a) -191 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 233\/57 - 46\/19. What is the third smallest value in g, -2\/21, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-2)\/(-12)*206028\/583746.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12080 and 7248?\nAnswer: 36240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 917468 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)**1 assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6620798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(8) + sqrt(2)))**2*-4*4 + (5 + sqrt(2)*-2 + 3*sqrt(4)\/sqrt(2))*1.\nAnswer: -755\/9 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60048 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-27))\/((-20)\/(-594180)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*2)**2 + sqrt(162)*1.\nAnswer: 9*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-2)\/476*2). Suppose -5*j + o = 39. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 (base 14) in base 6?\nAnswer: 11313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 2. Let c(j) = -189*j + 77. Give -2*c(r) + 77*v(r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*((-83*i**4 + 194*i**4 - 69*i**4 - 5*i**3)*(3*i + 4*i + 0*i) + 0*i**3 + 3*i**5 + 0*i**3).\nAnswer: 594*i**5 - 70*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 115*f - 3171\/4.\nAnswer: -(f - 453)*(f - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007063 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -48*(-2)\/(-5)*(-110)\/33. Let t = c + -69. Sort -4\/11, t, 1\/6 in increasing order.\nAnswer: t, -4\/11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/21*(-140)\/(-40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*r - r. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -61*s + 19. Let l(c) = -65*c + 16. Let q(k) = 6*b(k) - 7*l(k). Let x(h) = 17*h. Determine q(x(p)).\nAnswer: 1513*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -17\/5, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 3024?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 4*p**2 + 13*p + 4. Let w be b(-6). Is (6*(-10)\/18)\/(w\/939) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*153\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*b - 450, -2*b - 2*l + 243 = -b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -19. Let m(t) = 4*t - 114. Let b be m(29). Suppose 5*x = -s - 14, -b*s - 3*x = -6 + 20. Sort s, 6\/11, l.\nAnswer: l, s, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 43*g - 1442. Give d(34).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 2*x**4 - 4*x**4 + 21 + 62 + 4*x**3 - 3*x**3 to the form t*x + v*x**3 + m*x**2 + d + w*x**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/35 and 47\/25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 1. Let w be 148\/180 - (-2)\/p. What is the second smallest value in w, -1\/7, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10716\/(-336) - (-12)\/(-112)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.272, 2, -11\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 36 + 430)*(-4 + 4 - 2*o).\nAnswer: -946*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - 2) + (8 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17876518?\nAnswer: 2, 11, 97, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/8 (b) -16 (c) 0.14 (d) 0.03 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*l + 2 = 3*b - 110*l, -4*l - 4 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = 25*h - 228. Solve 25*t + 8 = h*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 23. Suppose -3*k = -4*k + g. Suppose -4*r - 5*n = -575, 1957*n + 465 = 3*r + 1954*n. Calculate the greatest common factor of r and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 8*l - 39, 2*b = -2*l + 154350 - 154286 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8024037 - -18?\nAnswer: 8024054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*k - 52*k + 114*k + 286*k)*(-k**2 + 0*k**2 - k**2).\nAnswer: -790*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - y**3 + (y + y - 3*y)*(-6*y**2 + 811 - 347 - 380) to v*y**3 + o + l*y + j*y**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.000331 and -0.06.\nAnswer: -0.00001986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 240 - 249 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((40\/(-60))\/(4\/(-3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 6*99\/72\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*z + 2*r - 340, -r + 125 = 2*z. Suppose -11*j + z = 2*j. Suppose -j*u = -u + 24. Put u, -4, -5 in descending order.\nAnswer: -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j - 3. Suppose 0 = -5*u - m - m + 316, -m + 190 = j*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-4)\/((5 + -4)*-2). Solve -2 = r - g + 2, f = r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*j + 285938 - 1383473 = 0. What are the prime factors of j?\nAnswer: 3, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) - (-60)\/14. Suppose -n = 4*v - 3*v, -x*v - 2*n = 0. Solve v = 3*w + 2*r - 25, -5*r = -2*w - 6 - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4299bc (base 15) to base 14\nAnswer: 5c7a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2*4\/2. Let s(j) = -j**2 - 2*j**2 + o*j**2. Let d(t) = -11*t. Let p(k) = 5*k. Let u(y) = 3*d(y) + 7*p(y). What is u(s(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-23)*r*r*r\/(r**(-20)\/r))\/(r**10\/(r**(-2\/7)*r*r)) assuming r is positive.\nAnswer: r**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 + -6 - -7 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**5 - 4269*k**4 - 27*k**5 - 9*k**2 - 1444 + 2134*k**4 + 2135*k**4 - k wrt k.\nAnswer: -440*k**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*u + 55*u = 419*u + 32*u - 86800 for u.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-966)\/(-1288)*(-4)\/15. Which is smaller: a or -7\/120?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (360\/(-50) - -6)*2480\/(-6). Let v = -269 + c. What are the prime factors of v?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - k**2 + 8*k**2 + (4*k**2 - k**2 + k**2)*(-3 - 1 + 5).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 39 = -12*y - 5*k, -2*y = 2*k - 24 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18)*3)\/sqrt(6) + sqrt(108) + 1)*-6*-5)**2.\nAnswer: 16200*sqrt(3) + 219600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135546.\nAnswer: 2, 3, 174197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14705 and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*o - 84, 6*n - 177 = n - o. What is the least common multiple of 312 and n?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*-2 + sqrt(187))*1 + -3*(sqrt(187) - 1*sqrt(187)))\/(sqrt(66)\/(1*sqrt(6)) + sqrt(396) + 1*sqrt(396) + sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*c + 69*c - 13101 = -458*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66408)\/28 + (-4)\/14. What is the common denominator of 26\/11 and (-2)\/11 - p\/220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 230, 305, 338, 311, 206, 5, -310?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -516?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 0. Let k(p) = -p**3 - 20*p**2 - 99*p + 2. Let r be k(-11). Solve -3*m = -4*t - 11, s = r*t + 3*m + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9011 + -9012. Sort -3, 0.5, 8.19, j, 0.1 in descending order.\nAnswer: 8.19, 0.5, 0.1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 3*u - 9. Let j be (-2)\/(-3) - 196\/(-21). Let y = -3 + j. Calculate the remainder when m(y) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3))**2*-5*-6 - (sqrt(297)\/(sqrt(55)\/sqrt(5)))\/sqrt(9).\nAnswer: -61*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/27*7\/14*6. Let s be 2\/5 - (-48)\/(-20). Which is the nearest to -1? (a) w (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34230259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m = -32*m + 724854. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 28*w**2 - 30*w - 9. Calculate a(-29).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -214 - -238. Suppose o*m = 21*m + 1035. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 + 0.01. Let x = -24 + 24.1. What is the nearest to x in 4, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10301 + -977. Let x = 5609 - -1025. Let a = g - x. What is a rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 - 523. Let q = -223 - d. What is the biggest value in q, -2\/3, -26?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - c. Let r be (-60)\/5 + (2 - -1). Let q(m) = -14*m - 5. Let d(l) = 27*l + 9. Let x(o) = r*q(o) - 5*d(o). Calculate x(b(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u*u**6*u)\/((u**(-4)*u)\/u)**45 assuming u is positive.\nAnswer: u**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10 - 8 = -5*t, t - 8 = 5*w. Solve 0*m + 3 = 3*m + t*l, 3*m = -4*l + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -111*l + 1063. Let p be j(13). What is p rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 7*j**6\/720 + j**4 + 14*j. Let a(r) be the third derivative of g(r). Calculate a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 330670433 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**3 - 10*p**2 + p + 6. Suppose 5 - 20 = -5*q. Let u(l) = -6*l**3 + 9*l**2 - 6. Let t(b) = q*a(b) + 4*u(b). Determine h, given that t(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4200 divided by 23.\nAnswer: -4200\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f**2 - 35*f**2 - 4 + 2*f**4 + 3 + 60*f**2 - 15*f to q*f + i*f**3 + k*f**2 + d*f**4 + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1905, 1802, 1699?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (-4*sqrt(16)\/sqrt(36))\/(sqrt(4)\/(sqrt(2) - (2*sqrt(2) - sqrt(2))*5))) + -4.\nAnswer: -9 + 80*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27*1\/(-1 - -8). Let v = -74\/21 + k. Which is the third biggest value? (a) -2\/3 (b) v (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1835*b. Let h(p) = -207*p - 486. Let v(a) = 19*a + 45. Let d(f) = 5*h(f) + 54*v(f). Give l(d(q)).\nAnswer: 16515*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15))\/(168\/105).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -394, -891, -1490, -2191, -2994, -3899?\n\"Answer: -51*p**2 - 344*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1283 - -1535\/161658. Let y = -1249\/1386 - n. Let o = -232535\/18 + 12924. What is the common denominator of y and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582713975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 7921656.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l = -503 + 410 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5125131 divided by -6.\nAnswer: 1708377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p + 2*p - 4 + 5*p**2 + 13. Let i(x) = -6*x**2 + 14*x - 9. Let l(v) = -4*i(v) - 5*z(v). List the prime factors of l(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 53 = -13*o. Let q = 74 + o. What is the remainder when 35 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 4906, 9428, 13950, 18472, 22994?\nAnswer: 27516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, n: 4, w: 1, o: 1, l: 4}. Give prob of sequence orns.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -439 + 352. Suppose -197 = 24*a + 1915. Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -42078.\nAnswer: 23\/42078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4331.741 * 1.\nAnswer: 4331.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 33*s + 176, -1831*l + 4*s - 60 = -1829*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2 = 4*w, -5*r + 10 = 49353*w - 49351*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3156\/2893 - (-6500)\/(-110)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 1\/24 (b) -0.1 (c) -19 (d) -21.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/84*((-18)\/(-8))\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 450213?\nAnswer: 450143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -9, -1\/654, 2\/85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1402*y**2 + 5*y + 7?\nAnswer: 2804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 80*c + 43432 = 304*c + 256*c for c.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) -0.02 (c) -1\/48 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348330.\nAnswer: 2, 3, 5, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53, 284, 677, 1238, 1973, 2888?\n\"Answer: i**3 + 75*i**2 - i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 - 6*a**5 + 72*a**5 - 36*a**5 + 112*a**5 + (-a + a - a)*(4*a - 2*a + 0*a)*(2*a**3 - 3 + 3).\nAnswer: 138*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000918852699 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332363660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*g**2 - g*h + 26*g - 89*h wrt g?\nAnswer: 54*g - h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1 + 1 + 2*q**2. Let h(w) = -w - 27 + 13 + 14. What is h(m(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 8. Let g(b) = 2*b - 28. Let w be g(16). Let d be a(w). What is the tens digit of d*(38\/(-4) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f + 4*f + 6*f**3 - 3*f**3 wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 + 11*t - 4440. Give q(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x + 5. Let z be g(4). Let i be z\/(-2) + 10\/4. Suppose 4*j - 6 = i*j. Solve -2*s + j*l - 8 = -3, 0 = -3*s + 3*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = 7*t + k - 153, -t - 5*k - 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (7 - 9 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0 + l - 1\/2*l**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 2*x**2 + 64. Suppose 8 + 4 = -4*t, 0 = -5*q - 5*t - 15. Calculate the remainder when o(q) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:05 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*c = 189*c + 4*u - 4349, 0 = -4*c + u - 5816. Is -1455 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u**5 - 2*u**4 + 1\/3*u**6 + 4*u + 3*u**2 + 2 - 4\/3*u**3. Determine c, given that p(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 19. What is the lowest common multiple of t and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -62*d**2 - 2*d + 13. Let n be y(7). Let r be (-1 - 1 - -4)*3\/n. Let q = r + 37565\/42546. Find the common denominator of 19\/14 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 6*o + 2*l - 4, 9 = 2*o + 5*l. Suppose 5541 = 4*f + d + 97, o*d = 3*f - 4083. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86938 by 2.\nAnswer: -43469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -3635.\nAnswer: -3635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/3)\/x)\/(x*x\/x**(2\/31)))**(-2\/9))**24 assuming x is positive.\nAnswer: x**(3376\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 14, d: 1}. Give prob of sequence qqq.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67318 is divided by 774?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 61*p**2 - 37*p - 477. Is z(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12503 + 2?\nAnswer: 12505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssrsrr. What is prob of picking 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 119 = -5. Factor 66*n**2 - 21*n + b*n**2 - 18 - 114*n**2.\nAnswer: 3*(n - 3)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*l**3*n**2 - 2*l**3*y**2 - 2*l**3 - 20*l**2*n**2*y - 2*l**2*y**2 - 2*l*n**2*y**2 + 2*l*y wrt l?\nAnswer: 684*n**2 - 12*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - (2 - (-2 + 3)). Suppose -a = 4*u - 95. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -92 - (-97 + -13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*z - 10*z + 14, 5*n - 16 = -3*z. Solve -4*w + 2*a - 24 = 6*a, a + z = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12805 - -12804.6. Sort -11, -3\/7, q, 2, -1.\nAnswer: -11, -1, -3\/7, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s + 96 + 252 = -807 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*y - 10, 0 = 21*y - 24*y + 3*j - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 9*w + 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25740158 divided by 12870079\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:19 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6286409 a multiple of 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 211716387 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 171930 + 7689.\nAnswer: 179619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-36) + 4\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -2.7. Let k = x - -4. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -52.8\nAnswer: -21.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Let q = -8 - -8.03. Let g = q + -3.03. What is the closest to 2\/5 in 1\/3, g, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(539) + -2)**2 + 5 + (3*sqrt(539) + -3 - sqrt(539))**2 + -3)*1.\nAnswer: -112*sqrt(11) + 2707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425223 (base 12) in base 4?\nAnswer: -33120103323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*d + 3014 = -3033 + 6032, 15 = -5*d for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196452684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45345043 - 2?\nAnswer: 45345041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 53*c - 9. Let u(x) = 25*x + 589. Calculate u(p(b)).\nAnswer: -25*b**2 - 1325*b + 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2. Let x(d) = -2*d + 44. Let v(a) = 2. Let i = 692 + -690. Let y(p) = i*x(p) - 44*v(p). Give t(y(w)).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 27, 60, 115, 198?\n\"Answer: b**3 + 2*b**2 + 4*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97125517.\nAnswer: 97125517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**3 - 5 - 133*c**2 + 133*c**2)*(-11*c - 10*c + 10*c - 3) in the form s*c**3 + k + v*c**2 + a*c**4 + p*c and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 44*h - 43*h. Suppose 104 + h = 16*q. Calculate the remainder when 222 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/250*40\/2544?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15*x**2 + 3*x + 2. Let h be t(-2). Let g = -6 - h. Let s = g + 72. Solve 3*a = a + s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 159 - 165. Let m(g) be the second derivative of -2*g + 0 + 0*g**2 - 1\/6*g**h. Let s(w) = 2*w**2. Determine s(m(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 - 3*a**2 - 4*a + 2. Let h(i) = i**3 - i + 1. Let z(p) = -3*h(p) + x(p). Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/37))**2*(z*z*z**(2\/31)*z)**(-2\/17) assuming z is positive.\nAnswer: z**(-9138\/19499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 14*u + 6. Let z = -1 + 4. Solve d - u = z*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2258? (a) -2 (b) 87 (c) -12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14743932 to the nearest integer?\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -931 (b) -16 (c) 0.1 (d) 4\/9 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/12 + z**2\/2 - 4*z. Let t be w(1). Suppose 5*m - 2*r = 1285, 3*m + t*m - 5*r = 1285. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:20 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26076, -29287, -32498, -35709, -38920, -42131?\n\"Answer: -3211*g - 22865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 11*s**4\/12 + 10*s**3\/3 - 5*s**2. Let z be r(-18). Does 21 divide (-1 - -1 - z\/(-32))*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*f + 16 = -2*f, -v - 2*f = 12. What is the remainder when 475 + (-3 - v) + 5 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12291934 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 18 = -16*t + 21*t, 12 = 4*v - 2*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5352120709 and -1.\nAnswer: -5352120710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 20*t + 66. Let f be x(-16). Suppose k = -f*d + 3*k + 176, 4*k - 285 = -3*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*t - 12, -5*t + 20 = -a - 0*t. Let y be 65*4*(-2)\/(-20)*2. Suppose 4*z - 192 = f + 3*f, a = z + f - y. 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 o = -0.72 + 6.32. Let q = 6.1 - o. Which is the third smallest value? (a) -1\/2 (b) q (c) 5\/3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -2)*4 - sqrt(272))**2.\nAnswer: -192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-26450)\/(-17) + 3*26\/663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:56 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698 + 5346 = -192*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 381166 divided by -1\nAnswer: -381166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 5. Let u(n) = 17 - 4*n - 16 - 25. Let y be u(-6). What is h(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {s: 1, z: 3, e: 5, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/9))\/((f\/(f\/(f*f*f**(2\/9)*f))*f*f)\/f))\/(f**(6\/11)\/f**12) assuming f is positive.\nAnswer: f**(826\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1185*o + 90486. Give r(76).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -715*m - 62*m**3 + 715*m + (-3 + 3 - 5*m)*(-4 - 2 + 3)*(-4*m + 2 + 2*m**2 + 4*m) as a*m**3 + z*m + s*m**2 + j and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.3704552 to the nearest integer.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10014217 is divided by 213068.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 30 = 4*z. Let j be (-1470)\/(-20) + (-6)\/4. Let a be 4\/(-2) + z + j. Calculate the highest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.2. Let q = 0.3 - n. Let x be (-38 + 39)\/(1 - 2) - -10. Are q and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 142*d - 1078. What is the remainder when r(8) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**2 + 2 + 1\/6*o**3 + 1\/24*o**4 + 0*o. Let n(s) be the second derivative of z(s). Differentiate n(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 45*g**2 - 122*g + 931. Give w(-48).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 6\/827 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0.425604.\nAnswer: -16.574396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 13 = 51. What is the lowest common multiple of 8 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-12))\/((-2)\/(-9)). Suppose 4*c + 30 = p. Let z(n) = -19*n. Let h(t) = 9*t. Let y(k) = c*z(k) - 13*h(k). Let g(d) = d**2. Calculate y(g(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -246\/13 and -18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from aiiriiriirraiaiirari.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227292 and 1092?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -99*a**4 - 17696418*a**3 - 790831201815*a**2 - 1341954900000*a + 479273437500 = 0?\nAnswer: -89375, -2, 10\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-8*m + 10*m + m**2 - 8*m).\nAnswer: -2*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -697)\/5*1?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -7. Let c(s) = -s**3 + 3*s**2 + 4*s. Let a be c(5). Let h be a\/40 - (0 - 91\/132). What is the third smallest value in 4\/5, l, h?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32*1015\/2940 - 11?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11981*m**2. Let n(d) = -d**2. What is r(n(v))?\nAnswer: 11981*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-484)\/(-55))\/11)\/((-6)\/(-315)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcwmwmsfscbc. Give prob of sequence fm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26872.0000030868 - -26872. Round o to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42317*c**2*y - 325*c*y + 27183364*y wrt c.\nAnswer: 84634*c*y - 325*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26118 rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 43354066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 4*k + 57 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - c**2)*(-10*c**2 + 7*c**2 + 19*c**2) + 0*c**4 - c**4 + 0*c**4.\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2585 and -2?\nAnswer: -5170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2. Let g(c) = -98042*c**2. Determine g(z(p)).\nAnswer: -4804058*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -132.5?\nAnswer: 39.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 3*w - 120. Let p be (-2 - 0)*w\/20. Let q(y) = 2*y + 1. What are the prime factors of q(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490506 or 490512?\nAnswer: 490506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/5 + 141*r**4\/5 - 6703*r**3\/5 - 4189*r**2 - 21222*r\/5 - 1424 = 0 for r.\nAnswer: -178, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 27d?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) + sqrt(228) + sqrt(228) + 1*sqrt(228))*-3)*-2)\/((sqrt(972) + (sqrt(972) - (-3*sqrt(972) - sqrt(972))) + sqrt(972))*-5).\nAnswer: -22*sqrt(19)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375 - -375.00371. Round t to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*k + 51*k - 535458 = 0. What are the prime factors of k?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9*p + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3\/5 (c) -2 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/50*(-115)\/3. Suppose 0 = -t*r + 42*r + 860. List the prime factors of r.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2 - 90)*-2. Suppose 4*t + t = q. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 7 + 19 + m**2 - 9. Let f be i(2). Suppose h = 4*z + 35, -64 = -5*h - f*z + 36. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -501, -737, -955, -1149, -1313, -1441?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 12*l - 18. Suppose -2 = -q + 4*a - 8, 0 = -q + 5*a - 5. Let i be y(q). Let c = -10 - -10. Solve c*z - i = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l = -63*l + 10. Let w be (15\/3)\/l*2. Solve 2*k - 4*k = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4641*n + 4641*n + 2*n**2 - 4*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.1 and 0.16?\nAnswer: 6.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 10*t**2 + 5*t - 3. Let g be a(-11). Let i be 14\/g + (-349)\/(-9). Suppose 4*x = 2*n + n + 45, 5*x + 2*n - i = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*r + r + 744 = 0, -4*r = -4*w + 592. Suppose 2*v - 5*o = w, o = -o. What is the remainder when v is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202329847\/420 + 481738. Calculate the common denominator of c and 41\/45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 630, 632, 634, 636, 638, 640?\n\"Answer: 2*v + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(1700)*-1 - sqrt(1700) - (sqrt(1700) + (-1 + sqrt(1700) + sqrt(1700))**2)*3 - (3*2*sqrt(17) + (2 + sqrt(17))**2*5)).\nAnswer: -20513 + 74*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7232 + -8771?\nAnswer: -17113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443204002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 0*u**3 + u**3)*(82 + 56 - 46).\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 87561000 rounded to the nearest one hundred thousand?\nAnswer: 87600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2299910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 5:16 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 41*f**3 - 5*f**2 + 7*f - 2. What is the remainder when 88 is divided by o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31116a19 + -5?\nAnswer: 31116a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 203*z + 3043. Give w(-14).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065 + 4 + (-1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122806889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j. Let x(b) be the third derivative of b**4\/3 + 18*b**2. What is i(x(o))?\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -10. Let z = p + 9. Suppose 32 = 4*w - n - 36, z*w = 2*n + 28. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(1 + 1 + 2)*((-2*l + 4*l - 4*l)*(-3*l - 3*l + 4*l) - l + l**2 + l + 3*l**2 - 7*l**2 + l**2).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 + 7*q**2 + 7*q + 7. Let i = -7 + 42. Suppose -17*j + 12*j = i. Let h(y) = -3*y**3 + 6*y**2 + 6*y + 6. Calculate j*h(p) + 6*s(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 87, 108, 153, 222?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 59?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:01 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 46. Let t be a(-16). Let z be (-784)\/t + (-6)\/45. Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:02 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + r - 6, -2*z = 4*r - 7 + 1. Calculate the remainder when 134 is divided by z + 1 + -2 + 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k**2 - k + 2. Let a(w) = -39*w**3 + 7*w**2 - 3*w + 7. Calculate -a(q) + 3*m(q).\nAnswer: 36*q**3 - 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 5163*k + 361606\/5.\nAnswer: -(k - 14)*(k + 25829)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1808? (a) 0 (b) -1\/37 (c) -5\/2 (d) -2\/3 (e) 3\/8 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 944, 970, 1036, 1160, 1360, 1654, 2060?\n\"Answer: 3*x**3 + 2*x**2 - x + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s\/(s**(5\/4)\/s))\/s))\/(s\/(s\/(s\/(s\/(s\/(s*s\/(s\/(s**(-2\/7)*s))*s*s)))))))**(10\/9) assuming s is positive.\nAnswer: s**(415\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 65*s - 14 = -69*s, 0 = -5*o + 2*s - 11. Let h(p) = -56*p**2 + 42*p - 42. Let v(g) = g**2 - g + 1. Determine o*h(f) - 42*v(f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 583, 1156, 1719, 2266, 2791, 3288?\n\"Answer: -t**3 + t**2 + 577*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 19. Let m be t(8). Suppose -2*o + m*o - 4*l - 25 = 0, -5*o = 5*l. Let w(f) be the second derivative of f**3\/3 - 3*f**2\/2 + f. Calculate w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2513574 and 1323?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.43638ml in litres?\nAnswer: 0.08843638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 5866937622\nAnswer: -5866937621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 72. What is the greatest common factor of 209 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 15\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:10 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 - 2*i**2 + 11*i**2)*(3*i - 3*i**2 - 3*i)*(2 - 4 + 3)*(14 - 25 + 4) to m*i + f*i**4 + k + q*i**3 + u*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - r = 10 - 2, -w + 92*r = 95*r + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/((-24)\/(-9) + -3). Suppose -8*p + m - 13 = 0. Solve 0 = p*h - l + 25, 0*h = -5*h - 5*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-6 + 2 - -2). Suppose -n = -z*n. Suppose n*v - v = 0. Is v at most as big as 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = o - 15, 2*o - k - 2 = 3. Let b be 1*(1 - 2)*o - -3. Suppose 4\/5 - 2\/5*i**2 - 6\/5*i - 2\/5*i**4 + 6\/5*i**b = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 323 = 4*p, 5*x - 4*p = 1756 - 1449 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 592. Let b(l) = 2*l + 1172. Give -4*b(x) - 7*n(x).\nAnswer: -x - 544","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 72, -0.2, -1\/10, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:36 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12720 and 420?\nAnswer: 89040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008428581 rounded to six decimal places?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 9:10 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7340 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -43*z**2\/2 + 4*z - 8. Let o be (-1 - 5\/(-2))\/(4\/(-8)). Is 18 a factor of p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - sqrt(28)\/(sqrt(4)*2)) + 5)*-4)**2.\nAnswer: 80*sqrt(7) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v**(-4)*v))\/v)\/v)**(-3\/2)*(v*v*v*v\/(v*v**(-1))*v*v*v)\/v**(2\/19) assuming v is positive.\nAnswer: v**(91\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h - 470 = 5*s, 2*s = -5*h + 442. Let b(x) be the first derivative of 90*x - h*x + 2*x**2 - 2. Let w(k) = 4*k. Give b(w(r)).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -661 - -659. What is the third biggest value in w, 9\/13, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 119850963971 + 119850963971 - 6*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 18 = -4*u, -z - u - 10 + 13 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**2 - 1\/120*b**5 + 1\/720*b**6 - 1\/36*b**3 + 0 + 0*b + 1\/48*b**4. Factor h(v).\nAnswer: (v - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/21 - (-6)\/(-21).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481717 is divided by 20944.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 6*l**2 + 1706*l - 3410. Determine d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 - 2*f + 14. Let i be (-2)\/10 - (1 + 4)\/(-25). Suppose i = 15*w + 16*w - 186. Give v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 802*f**2 + f - 1. Suppose -10 = 4*h + 6*h. What is the units digit of d(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173 - -192?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(176) + -1).\nAnswer: -4*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 937*b + 29 = 942*b - 4*k, -3*b - k + 14 = 0. Solve -b*v = -4*l - 5, -5*l + 264*v = 269*v + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -997*m**2 - 1003*m**2 + 1998*m**2. Let a(v) = v. Let z(t) = -29*t. Let q(f) = -58*a(f) - z(f). What is o(q(h))?\nAnswer: -1682*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 20*m**2 - 5*m - 11. Suppose 177*w + 32 = 181*w. List the prime factors of y(w).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3513641987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508 - 438 = -a - 3*i, -4*a = -4*i - 72 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyoayozw. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 7164881?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 196059*c**3 + 1 + 195933*c**3.\nAnswer: -126*c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 6*g**2 - 4*g - 7. Suppose -4*v - v - 30 = 0. Let t = -43 + 92. What is the remainder when t is divided by y(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 625. Suppose 28*d - 33*d = -b. Calculate the greatest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17034871, -17034883, -17034905, -17034937, -17034979, -17035031, -17035093?\n\"Answer: -5*t**2 + 3*t - 17034869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*n = -4*o - 149, -2*o + 5*n - 155 = 0. Is 4 a factor of 1*o\/(-4)*124\/217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:02 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3046, 12588, 28556, 51004, 79986, 115556?\n\"Answer: 9*v**3 + 3159*v**2 + 2*v - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 269 + m**3 - m + 288 + 5*m**2. Calculate f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 3*s - 67. Let q be m(7). Suppose 3*d = -2 + 11. Solve -d*b + 0*b - 3 = 0, -2*w + 5 = -q*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9588 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 528465*d**4 + 236*d + 290.\nAnswer: 6341580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105074 + -4?\nAnswer: -105078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**6 - 51907*b**3*t + 5*b**2*t + b**2 - 5*b*t + 192*b wrt b?\nAnswer: 720*b**3 - 311442*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 - 3 = 0. Let m(v) = -8*v**2. Let l(x) = 7*x**2 - x + 1. Let s(a) = j*m(a) + 7*l(a). What is the units digit of s(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23919, 23910, 23895, 23874, 23847, 23814, 23775?\nAnswer: 23730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-66 - 11 + 21)*(0*o + 0*o - o + 1) in the form q + y*o and give y.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(153) + -4 + sqrt(153) - ((sqrt(153) - (sqrt(153) + 2)) + -5))**2.\nAnswer: -1863 - 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -80, -105, -130, -155, -180?\n\"Answer: -25*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 973 + -290. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 857, 1716, 2575, 3434, 4293, 5152?\n\"Answer: 859*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 + -0.01. What is the smallest value in 4, -0.1, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4211*b**2*r**2 - 2090*b**2*r - 2*b**2 - b*r**2 + 4*b + 85*r**2 + 2746 wrt b?\nAnswer: -8422*r**2 - 4180*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1904 and 8338092.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 3\/50?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-5)*1\/(-4)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/4 - 3*p**3 - 6*p**2 + 27*p - 40. Is g(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - x + 544 = -2*k + 539, 0 = 5*x - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/14*4\/(-10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3329344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -125*f**6\/24 - 365*f**5\/12 + 149*f**4\/24 - f**3\/2 + 161*f**2. Let k(d) = 0. Calculate d.\nAnswer: -3, 1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*d**2 + 4*d - 4*d)*(22 - 53*d**2 - 22).\nAnswer: -2332*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-16)\/(-120)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 58. Let k(m) = 908*m**3 - 2*m**2 + 2*m - 1. Is k(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 63*j**2 + 5246*j + 289*j**2 + 5238*j - 10471*j + 31*j**2.\nAnswer: 2*j**3 + 383*j**2 + 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121 and -439471978.\nAnswer: -439471857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 17.9. Which is the closest to 0? (a) -12 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38452 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4*s**2 + 4*s + 5. Let h be i(-3). Suppose -h*m = -4*u + 251990, 5*u - 315025 = -5*m - 0*m. What is u rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5\/2, -26\/25, -0.5, 88.5 in increasing order.\nAnswer: -26\/25, -1, -0.5, 5\/2, 88.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -193948.9 to the nearest one thousand.\nAnswer: -194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 + v**2 + 4*v**4 + v - 9*v**3 + 6 + 6*v**3 + 6*v**3 + 0*v**3 in the form a*v**4 + p + z*v**3 + i*v**2 + k*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -76.7. Let q = -1.09 - -0.89. Sort 1.2, s, q, 5 in decreasing order.\nAnswer: 5, 1.2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -46. Solve 0 = -4*k + a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m - 6*m - 771 + 771 + 12*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/(2\/(-12) + 0). Let x = 5127587\/14 + -366530. Let w = r - x. Calculate the common denominator of 37\/14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 11. Let u be q(-8). Suppose 9*p - 7*p - 6 = 0. Suppose p*c - 8*c = -5. Solve u*y - c = a - 11, -5*a = -4*y + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 20*w + 4. Let g be o(-20). Suppose -8 = u - g*i, 3*i = 5*u - u - 33. Solve -h + 5*h + u = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gygyyggggyyg. What is prob of sequence yygg?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/16 or -19\/9?\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n - 56*n = -429*n - 20*n - 39093 for n.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 101 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:54 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by 23\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2604 + -2452. Calculate the smallest common multiple of n and 1748.\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8560773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = 3*m - 7*o + 21, 3*m + 2*o = -o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 237056664 - 5?\nAnswer: 237056658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((sqrt(12)\/sqrt(4))**2 - sqrt(3)) + sqrt(3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -206822 (base 13) to base 14\nAnswer: -159d00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 1284, 2183, 3254, 4497, 5912, 7499?\nAnswer: 9258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.5 - -7.499986. What is x rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 4. Suppose 0*q = -d*q. Let u = 8 - 6. Solve 4*z + q*z - 19 = 3*o, 0 = -2*z + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*o + 131 = 112*o - 39 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.6137 times 71\nAnswer: 114.5727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3*p**2\/2 + 2. Let h(n) = 13*n + n + 0*n - 8*n - 7*n. Calculate h(w(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 302419 = 3383144. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.413 times -0.0934097?\nAnswer: 0.0385782061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u - 19 = -l, l - u - 9 = 0. Solve -5*c + 20 = -3*c + 5*p, c + 3*p - l = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 81 + 33*x**2 + 4*x**2 - 3*x**2 + 0*x**2 + (x - 1 + 1)*(-2*x - 3 + 3) to l*x + r*x**2 + y and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 2*z - 4. Let w be s(5). Suppose 11*d - 13*d - 782 = 0. Let x = w - d. What is x rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16932*-0.13\nAnswer: -0.0220116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -237065 + -2275\nAnswer: -239340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 131 - 6. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) 5 (b) 205\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 719812722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) -3\/4 (d) 0.06 (e) 0.7 (f) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/(-4)*(-3233)\/106 + -4 + -1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 4. Give c(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(567) - (sqrt(567) + sqrt(567)*2)) - 4*sqrt(567)*-2)**2 + 5 + (sqrt(1575) + 5)**2.\nAnswer: -174*sqrt(7) + 22026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 768216 or 768217?\nAnswer: 768216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -54. Suppose 0 = 5*a - 5*t - 150, 0 = -z*a + 5*t - 37 + 106. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -211310?\nAnswer: -211231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p + 16. Solve -p = -2*r + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2. Let b(f) = 137*f**2 - 1605*f - 15 + 1605*f + 15. Give g(b(q)).\nAnswer: 93845*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117849494?\nAnswer: 2, 7, 8417821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 149\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 - 118*i + 117*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80895277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21\/8 (b) 0.5 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-21 + 11) - (-1 + -3 - (83 + -148))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82505 - 312?\nAnswer: 82183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from gjgjgjhjhjjhghjgj?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 75867705?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -2 + sqrt(108)*-1 + sqrt(3))**2 + 5.\nAnswer: -12*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/11)\/h*h\/h**(1\/2)*h\/h**(-12)*(h*(h\/(h\/((h**(-33)*h)\/h*h*h)))\/h)\/h assuming h is positive.\nAnswer: h**(-433\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Which is the fourth biggest value? (a) x (b) -3 (c) 2\/17 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -469*b**2 - 241*b - 1001. Let t(u) = -156*u**2 - 85*u - 334. Let c(x) = -6*p(x) + 17*t(x). What is the second derivative of c(y) wrt y?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 34530207846.33.\nAnswer: 34530207860.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.82 + -52.84.\nAnswer: -52.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -718 + 1152. List the prime factors of t.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7614971 - -7?\nAnswer: -7614966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032452 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961099 is divided by 7680.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 88 = -4*t, -2*c - 2*t + 4 = 84. Let r be 162\/c + 1\/2 - -7. Solve -2*i - 8*g + 29 = -r*g, -g + 3 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -529, -559, -593, -619, -625, -599?\n\"Answer: 2*w**3 - 14*w**2 - 2*w - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 + 4. Let i(x) = -4*x**3 + 6*x**2 + 5*x - 7. Let g be i(2). Which is the nearest to 0? (a) s (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2 + 1134*r - 94875 = 0.\nAnswer: 125, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17341\/11 + -1579. Find the common denominator of 81\/32 and g.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjjtjtjjzttjjttzlj. Give prob of picking 2 t and 2 j.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -841, -2.48, 109 in increasing order.\nAnswer: -841, -2.48, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzazzz. What is prob of sequence za?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/3)\/((-2)\/3). Suppose r + 6 = u, u + 3 = -3*r + j*r. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 224*n**2 - 46*n - 531. Is k(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 11*c + 7*c + 2*c - 3*c**2 + 4*c as z*c + m + g*c**2 + d*c**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39c7 (base 14) to base 9\nAnswer: -14851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 7)*2\/(-4). Suppose 0 = -4*c - 5*o + 91, -c - q + 33 = -5*o. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 13 + 25)*(0 + y**4 - 3 + 5).\nAnswer: -11*y**4 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 + (-532)\/(-57))\/(4\/(-3)). Solve c + 5*k = 14, n*k = -2*c + 4*c + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqdq when four letters picked without replacement from {d: 2, q: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 4\/5, -3.1, 4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 52, 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -214 (b) 4 (c) -0.2 (d) 1\/4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/8 - 10701*k\/4 + 578228 = 0.\nAnswer: -21616, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2\/33 (c) -4\/5 (d) 5 (e) -1370\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (364 + 1975 + 881)*(-p**2 - 3*p**2 + 3*p**2).\nAnswer: -3220*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 837 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k + 0 - 44*k + 2 - 25*k.\nAnswer: -45*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 + 212*k**4 + 11200*k**3 - 7632*k**2 - 404496*k.\nAnswer: k*(k - 6)*(k + 6)*(k + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-43 - -42)\/((-3)\/6) + 1 + -1. Let m(w) = -8*w + 22. Calculate m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-9 + 17 - 18 - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 + 2. Suppose 4 = 2*h - 0*h. Let b(c) = c**3 - 2*c**2 - c. Let f be b(h). Let q be ((0\/3)\/f)\/(-1). What is r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/24 - f**3\/6 - 10*f**2. Let z(w) = -w**3 + 6*w**2 - w. Let y be z(6). What is j(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 3. Let a be g(-3). Let f(u) be the third derivative of a + 0*u**6 - u**2 + 0*u**3 + 0*u**4 + 0*u - 1\/90*u**5 + 1\/315*u**7. Factor f(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 19*v + 194. Is (-1 - 0)*(v - (0 + -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -73\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 47*y + 206. Give m(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(10\/15)*2220\/(-45510)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/22 + 2\/(-11). Let w(y) = -4 - 1 + 44*y - 47*y - l. Let q(g) = 1. Let v(j) = j**2 - 5*j - 5. Let m be v(6). Calculate m*w(z) + 6*q(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*u + 45*f**3 + 67*f**2*u + 2*f*u wrt f.\nAnswer: -48*f*u + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 113. Suppose -4*t - 3*a = -35, 5*a + 10 = 4*t - 17. Suppose -t*d + j*d = 0. Is d smaller than -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14775, -14774, -14773, -14772, -14771, -14770?\n\"Answer: s - 14776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/10 and -113\/12550?\nAnswer: 12550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3362 = -2*b - 4*m, -3*m = 7*b - 19*b + 20334. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316122*x**2 - 200116*x?\nAnswer: 632244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38021, 75938, 113651, 151064, 188081, 224606?\nAnswer: 260543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - 0.198. Let u = -0.068 - s. Let f = -0.6 + 0.3. What is the nearest to 0 in -1, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -5 (b) 15 (c) 1\/6 (d) 16\/293\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*c - 3985 + 4189 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16515906.75ns?\nAnswer: 0.000000027308046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1004\/619 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-1*(sqrt(1377) + 1) - (sqrt(1377) + 6*(1 + sqrt(1377)) - sqrt(1377))))*1*-2)**2.\nAnswer: 1008*sqrt(17) + 269908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9891 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1, 0, -5, 13, 251, 5 in increasing order.\nAnswer: -18, -5, 0, 1, 5, 13, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.62 - -0.12. What is the fourth biggest value in 0.3, -2\/3, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35996715 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 24, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7*r = 0. What is the second derivative of 2*p**3 - 2 + 0*p - p + r*p + 6*p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 761 divided by 465\nAnswer: 761\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396 and 1836?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3225 + 505. What are the prime factors of u\/(-2)*(4 + -3)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 356*x**3 + 2242*x - 2243*x + 92 + x**2 - 92 as w*x**2 + z + l*x**3 + t*x and give l.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 8. Let b = 18 + -26. Let v(w) = -3. Suppose -5*p - 226 = -241. Determine b*v(r) + p*z(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80.33 - -1.33. Let k = -76 - n. Which is the nearest to k? (a) -10 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276 (base 8) to base 3\nAnswer: -21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -19, -23, -27, -31, -35?\n\"Answer: -4*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/3)*j*j\/(j\/(j\/j**9)))**(2\/3)\/((j**(-2\/7))**24\/(j*j*j\/(j\/(j*j**(-2\/11)))*j*j*j*(j*j*(j\/j**(2\/17))\/j*j*j)\/j)) assuming j is positive.\nAnswer: j**(115217\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2055\/4 (b) 5 (c) -4\/3 (d) 0.5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + j + 40, -2*d = 3*d + 4*j + 97. Is (-40713)\/d + 8\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 17. Let i(b) = 9*b. Let x(d) = -2*d. Let o(m) = l*x(m) - 2*i(m). Let n(k) = -10*k**2. What is n(o(h))?\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. What is the units digit of (-4)\/(-1)*6\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47121, 46807, 46495, 46185?\nAnswer: 45877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 22 = -4*b + 2*a - 6, 4*a - 13 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-two fifths of a millisecond?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 2*y - 45, -74 = -3*y - 2*n. Let g = y - 23. Suppose -6 = -3*j, 16 + 6 = 4*i - 5*j. What is the highest common divisor of i and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 8*h + 16. Let i be r(-4). Suppose 5*d - 4*d - 4 = i. Solve -d*z + 17 = 3*q, -z = q - 2*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 + 8 + (1 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 819110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176899733 to the power of 1\/2, to the nearest integer?\nAnswer: 34306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from btttttttbttt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**3 + 12*q**2 + 18*q - 30. Let w be o(-9). Find the first derivative of w*t**4 - 7 + 2 - 19*t**4 wrt t.\nAnswer: 104*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09635 or 20?\nAnswer: 0.09635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 343 = 91. Suppose 0 = 229*b + 71*b - 16200. What is the least common multiple of x and b?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 1 - 0 - (-7 - 0 - -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8046400 divided by 15040?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -7. Let q = 0.1 + -2.1. Let i = q + t. Which is the smallest value? (a) 0.5 (b) i (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-20))\/(192\/(-480))*(-2)\/22?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/34255 and -29\/306527?\nAnswer: 47511685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*u**3 - 23*u**2 wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 7*l**2 + 3*l + 94. Let y be q(-8). Let o(c) be the third derivative of c**5\/60 - c**4\/4 - 5*c**3\/6 + c**2. What is o(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40749208457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/9))\/(h*h*h**4*h*h)*(h\/h**(-7))\/(h*h\/h**(-1\/6)*h) assuming h is positive.\nAnswer: h**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, u: 3}. Give prob of picking 2 v and 1 u.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 - 6 = 0. Suppose 4*x = 0, 0 = -4*c - o*x + x + 20. Solve 0 = 6*r - r - c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.032?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/298 and 21.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1. Let a(t) = 2*t - 3. Let n(o) = -a(o) + 6*x(o). Give n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 40 = 2*v, -2*p - 4*v - 95 = -7*p. What is the highest common divisor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 111346*s + 6903445. Give l(-62).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.565 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329124 is divided by 658?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 10\/3*k**3 - 3*k + 0*k**2 - 5 - 4\/3*k**4 - 6\/5*k**5 + 2\/21*k**7 + 8\/15*k**6. Factor m(j).\nAnswer: 4*j*(j - 1)**2*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 27*h - 155. Let f be k(9). Solve -2*p + 193*m - 9 = 192*m, m - f = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d + 4. Let v(j) = -21*j + 5. Let w(p) = 3*c(p) - 2*v(p). Let h(x) = -x - 1. Determine -4*h(k) - 2*w(k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*z + 2*v + 6 = 0, -v = -535 + 539 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 1 + 6*n**2 + 2*n - 1\/3*n**3. Is z(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372030 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10 = 6*a, 2*g = -5*a - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-6\/7))*u**(-6\/13))\/((u\/(u*u**(-1\/22))*u)\/u*u\/u**(-4\/3)) assuming u is positive.\nAnswer: u**(-11911\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 1, q: 7, s: 3, n: 3, k: 3}. What is prob of sequence ssrs?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/(-329))\/(2\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 108. Calculate the common denominator of (56\/20)\/(16\/45) and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 + 0.6. Let h be ((-135)\/21 - -3) + 4. What is the second biggest value in -3, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 - 1420\/9. Let n be 0\/1 - (-4)\/38. What is the second biggest value in n, -5, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1002)\/(-4) - (-21)\/14?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 12*c**2 - 11*c - 18. Let o be r(13). Let q = o + 6. Calculate the lowest common multiple of q and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (-4 + (-3*sqrt(114)\/sqrt(6) - (2*sqrt(19) + 1))**2)*-4) + 0.\nAnswer: -1891 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000085562 rounded to 6 decimal places?\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 60, 2, 3\/5, -0.5, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 7*d**2 + 5*d - 16. Give a(-7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170712619, -341425239, -512137859?\nAnswer: -682850479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 8.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4771889 or -2\/9?\nAnswer: -4771889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -10, 5 in ascending order.\nAnswer: -10, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 7 = o, -2*w + 9*o - 13*o = -2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-80)*4\/5. Let y = -0.2 - 1.8. What is the second biggest value in y, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 583 + -585. Let c(b) = -7*b**3 + 4*b**2 - 5. What is the remainder when c(f) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g**(3\/5)*g*g**0*g\/(g*(g\/(g*g\/g**(-6)*g*g))\/g)*g)**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -78, -117, -156, -195?\n\"Answer: -39*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55152461 and 29029?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8010*x = 8016*x - 36 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (152 + -153)\/((-3)\/(-60)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5765 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38719 is divided by 490.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374690 or -374642?\nAnswer: -374690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/22 + ((-3905901)\/(-297) - 27)?\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - x - 26, -4*x + 31 = -73733*u + 73738*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 634216408*h. Let t(g) = -2*g. Calculate n(t(i)).\nAnswer: -1268432816*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgripat. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2466586.449 and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (29 - 21)*((-2)\/(-2))\/(-1). Let w be (y\/(-40))\/((-1)\/(-65)). Calculate the highest common factor of w and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - -67. Let z = l - 146.909. What is z rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3722665405?\nAnswer: 5, 1879, 396239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303142 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549 + 1281 = 61*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 46. Let x(c) = c**2 - 4*c - 1. Let v be x(5). Suppose -5*n = 5*d - 75 - 10, -v*n + 61 = -p*d. What is the smallest common multiple of 22 and n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-34) + 1 + (193 - 199)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 + -7. Let l = -0.8 + j. Let d = 3 + l. Which is smaller: -1\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160440 = 4*c - t, 3*c - 5*t = c + 80220. Suppose 142*w + c = 149*w. What is w rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 - 5193424*z - 1685728302736 = 0 for z.\nAnswer: -649178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 o, and 1 u when four letters picked without replacement from {o: 11, k: 7, u: 2}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 5. Let f be j(-1). Let k(x) = -x - 2*x**2 + 2 + 3*x**2 - x. Determine k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**7\/168 - z**6\/30 - z**5\/40 + z**4\/6 + z**3\/24 - z**2\/2 + 82*z. Determine k so that s(k) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = 63*w + 158*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2 + 16*q - 65. Let m(h) = -3*h**2 - 5*h + 22. Let o(t) = -4*j(t) - 11*m(t). Let p = -319 + 326. Let d be o(p). Put 0, -2, d in ascending order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 19580374318.\nAnswer: 19580374322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6112114928 to the nearest integer?\nAnswer: 78180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -126.4. Let a = j + -17. Let u = -54 + 54. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*38\/24 + -5)\/(7\/42). Solve 5*h + 27 = 2*p + 11, 0 = 2*p - 3*h - x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.6086 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 209 or 1341?\nAnswer: 1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 8*c - 5. Let i be s(-6). Let k be (1 + -4)*(-225)\/135. Solve -k*a - 2 = -i*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-80)\/(-8))*10\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19500 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2 - 16. Let z(o) = -5*o**2 - 8. Let t(x) = -3*s(x) + 5*z(x). Let m be t(0). Solve 4*g - m*g - 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 110*o - 2. Let r(b) be the first derivative of -b**3\/3 - 67. Give k(r(s)).\nAnswer: -110*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 122*o - 5 - 7 - 27*o. List the prime factors of r(4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 244592407 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-6) + 203\/6?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 4*p + 2*o + 81, -40 = 5*p - 5*o for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(208) - ((-1 + sqrt(208))**2 + 4)) + -5).\nAnswer: -1086 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 2 (c) -0.029 (d) 1.716 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*u + 28. Is 572\/3 + (-5)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 11. Let b(r) = 5*r - 11. Let a(z) = -2*b(z) + 3*v(z). Determine a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 4, i: 11, u: 3}. Give prob of sequence uuw.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1387, 1501, 1653, 1861, 2143, 2517, 3001?\nAnswer: 3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1275, 64, -2 in increasing order.\nAnswer: -1275, -3, -2, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2002*r**5 + 6*r - 214?\nAnswer: 40040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 53. Let v be c(19). Solve -3 = -v*f + 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 15*q**5 + 171*q**4 + 699*q**3 + 1305*q**2 + 1122*q + 360 = 0?\nAnswer: -5, -12\/5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3, 33 in increasing order.\nAnswer: -3, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73.9 - 80. Let g = -0.1 - u. Let v be ((8\/(-6))\/(120\/180) - 99\/117) + 3. What is the closest to v in g, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/238)\/((-42)\/882*-36).\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 6899?\nAnswer: -34495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -308*p**3. Let y(c) = 56*c**3. Calculate -5*a(m) - 28*y(m).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*p - 61 = 0, -7*p + 56 = -248*t + 206*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20.0203*10\nAnswer: -200.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*-2*-4 + sqrt(99)\/(sqrt(18)\/(sqrt(2)*-2)).\nAnswer: 86*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 5. Let y be b(5). Suppose -16*p = -22 - y. Let v(i) = 14*i + i**p + 7*i + 7*i - 25*i - 6. Give v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**3 + 47*b**2 - 77*b - 5 wrt b.\nAnswer: -24*b + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, y: 6}. Give prob of sequence yyyy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6.5. Let a = -625\/7 + 89. Let i be (4235\/(-435) - -10) + 5*(-8)\/(-580). What is the nearest to a in r, i, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - 5 - (-24 - -24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*f - 31 + 23, 16 = 4*f - 4*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*q**2 + 30*q**2 + 11*q**2 to g*q**2 + t + u*q and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, y: 2, l: 1, p: 1, e: 1}. What is prob of picking 1 m and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059469363 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*j = 13, 2*h + 190 = -5*j + 213 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(12 - 39 + 17).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*w**2\/5 - 11470*w + 24576\/5.\nAnswer: 2*(w - 4096)*(7*w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6 + 0)*4. Suppose -z*d - 38 = -4*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9778 or -9777?\nAnswer: -9778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i - 2. Let o(q) = -11*q**2 + 2*q + 1. Let p be o(i). Let u = 40 + p. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104070 is divided by 1711?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 26180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1385 + -1307. Calculate the remainder when q is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + x + x = 101074, -4*q + 101083 = -x. What is the hundreds digit of ((-2)\/(-4)*-3)\/((-105)\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 7*k**3\/3 - 4*k**2 + 7*k + 4. Let a be 9 - (1 - (3 - 3)). Is j(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) - 3\/5. Let o(u) = -15*u + 1. Let m be o(g). Solve 0 = 2*k - 8, -3*p + 5*k - m = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + 5. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456856 is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*n - 2790, 1413 = -119*n + 120*n - 4*b. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 27 = -5*l. Let v = -367 + 363. Let a be 33\/(-42) + v\/(-14). What is the third biggest value in 4, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001101011 (base 2) in base 9?\nAnswer: -6418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4.51, 25, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8203327?\nAnswer: 11, 745757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and 0.1202.\nAnswer: -10.8798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (252\/56)\/((-6)\/16). Let p be (o\/(-9))\/((-4)\/(-6)). Solve p*n - n = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 7*o**2 - 7*o + 12. Let z be -11 - 5*(-30)\/25. Calculate d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*l = 3*v + 92, -194 = 2*v - 4*l. Suppose 2*f = 220 + 56. Let b = v + f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6682 - 4523. List the prime factors of w.\nAnswer: 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 2*x - 3. Let q be z(-3). Suppose f + 0 - 4 = q. Solve 4*v + 2*r = f, 2*r = -r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 11*d - 118. Which is greater: d or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5093 and 3630.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/187586 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m + 1. Let l(a) = -a - 1. Give -2*l(f) + u(f).\nAnswer: f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.029 - -0.008. Let j = 0.014 - u. Let c = j - -0.02224. What is c rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Which is the closest to z? (a) 2\/9 (b) -0.08 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658333 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(39)\/sqrt(3) + sqrt(13)) - sqrt(13))**2 - (sqrt(117) + -1).\nAnswer: -3*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -16*t + 12*t + 4*t**2 + 4*t. Let u(o) = -2*o. Give a(u(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -20. Let w = -64 - -148. Let d = w + -89. Put m, -0.5, 1\/3, d in descending order.\nAnswer: m, 1\/3, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (-21 - -13 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g + 48 = 72*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < -1\/736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 - 105. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xccc when four letters picked without replacement from xcltltccctxckllc.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 347 - 357 - ((-21)\/9)\/((-4)\/(-18)). Let v = -16 - -18. Factor -z*u - 1\/2*u**v + 1\/2 + 1\/2*u**3.\nAnswer: (u - 1)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*o + 260*o - 141*o + 53*o.\nAnswer: 432*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.43, 3, -5, 5, -2\/3?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79019 - 423936933\/5365. Let w = 584789\/10730 - d. Which is bigger: w or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 806340 and 1370778.\nAnswer: 13707780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*p - 5*p = 16, 2*p + 7 = d. Put d, 0, -178 in ascending order.\nAnswer: -178, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 4:44 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 21\/2*m**3 + 5*m**2 - 9\/4*m**4 - 13\/2*m + 5\/4 = 0?\nAnswer: -1, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 652 (base 11) to base 8\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25786806803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyjssyysstss. What is prob of sequence cj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5576879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**8\/168 + 83*j**7\/70 + 25*j**5\/6 - 17*j**2 - 13. What is the third derivative of h(z) wrt z?\nAnswer: 120*z**2 + 5976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(10\/3)\/m)\/(m*m*m**11\/m)*(m\/m**(-7\/6)*m)**(-1\/2) assuming m is positive.\nAnswer: m**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -3, 2\/15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 9*b - 10. Let q(u) = -5*u**2 - 9*u + 10. Let p(o) = -4*k(o) - 3*q(o). Let a be p(-8). What is the highest common divisor of a and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1416\/9)\/((-4)\/(-6)). What are the prime factors of (4 + h\/(-8))*-2?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5202 (base 7) to base 2.\nAnswer: 11100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -1186, -1780, -2374?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*d = 277*d - 678*d + 3606 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18010 and 257543.\nAnswer: 2575430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a - 38*a = 9605. Calculate the greatest common factor of a and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-70)\/(-21)*15\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571900 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233.9 + 234. Put d, -0.089, 0.4 in increasing order.\nAnswer: -0.089, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 18. Which is greater: l or 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19511386, -39022774, -58534162, -78045550, -97556938, -117068326?\nAnswer: -136579714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*p + 4 - 4.\nAnswer: 140*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 12 = 3*r, -2*g = 2*r + 56 - 52 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -0.027309.\nAnswer: 21.972691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-322)\/6923)\/((-40)\/4085)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18133.27687 - 18105.23707834. Let d = -27.719792 + o. Let n = 0.32 - d. What is n rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 5. Let h be b(-5). Suppose -2*l = -28 - h. What is the greatest common factor of l and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3 - 2. Suppose 0 = z*i - 518 + 73. List the prime factors of i.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29670 divided by -86\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -52 + 52 + 6*p. Let o(s) = s**2. Calculate x(o(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391767, 391767, 391765, 391761, 391755, 391747, 391737?\nAnswer: 391725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 16*o + 6 = 14*o, -2*o = 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 24930876*y + 5 - 2 + 24930871*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 2. Let m be f(-6). Suppose -5*j = -m*j - 20. Let g = -21 + 31. Calculate the smallest common multiple of g and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50f - -290a?\nAnswer: 2e19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w + n, 5*n - 4 = 3*n. Find the common denominator of (w - 21\/22)*-83 and -9\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 150 = 0, -60*p - 8*u = -85*p - 12*u - 200 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104963917.\nAnswer: 7793, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37459, 74853, 112243, 149629, 187011?\n\"Answer: -2*l**2 + 37400*l + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6*s + 9. Does 14 divide h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*n + 1 - 1 - 1)*(5 + 2 - 4)*(0 - 1 + 2).\nAnswer: -45*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*q - 24, -3 = -6*q + 5*q. Let p(x) = -d + 6 + 2*x - 3*x. Let j(k) = -k**2. What is p(j(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4514738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = -4*c - 2*f + 191, 3*c - 4*f = -17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:33 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8088.656 decades?\nAnswer: 80886.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, i: 2, h: 1, e: 2}. Give prob of picking 2 n.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -428 - -438. Let v(g) = g**3 - 9*g**2 + 60*g - 10. What are the prime factors of v(d)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)\/(t\/(t\/((t*t**(-1\/63))\/t)))*(t**(-14)*t)\/t*t**(-1\/7) assuming t is positive.\nAnswer: t**(-1709\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7738, 15484, 23230?\n\"Answer: 7746*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 137. Suppose 12 + 50 = 2*g - 5*f, 0 = 5*g - h*f - 155. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/23)*x)\/x*x*x)\/x**(-2\/21))**(-18\/11) assuming x is positive.\nAnswer: x**(-5820\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, 120, 279, 584, 1083?\n\"Answer: 8*r**3 + r**2 + 2*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 5\/8, 0.0743, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -31253?\nAnswer: 31243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37901416529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 20 = 8*u. Solve -16 = -5*h - 2*x, x + 9 = u*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/4 + 32*c**3\/9 + 10*c**2\/3 + 31. Find l such that g(l) = 0.\nAnswer: -10, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8693401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11956, 12149, 12342, 12535, 12728?\nAnswer: 12921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -1 - (117 - 114)) + (-20 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 2*m**2 + 2*m + 1. Let b = 10 - 10. Suppose 2*t + 3*k - 13 = b, -3*t - k = 4*k - 22. Let w be u(t). Solve 5*c - 16 + 1 = w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/120 - k**5\/6 + 17*k**4\/24 - 7*k**3\/3 + 71*k**2 - k - 20. Determine w(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvko when four letters picked without replacement from kjkofvokvwoo?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = 10*a - y - 315, 5*a - 5*y + 2*y = -0*y - 44 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175) + 0 + 5 - (sqrt(175) - (sqrt(175) + -3))*2)**2 - (-4 + -3*(sqrt(175) + -2))**2*-1.\nAnswer: -80*sqrt(7) + 2280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -94. Is 21 a factor of -6*(-105)\/k*2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 0.5 (c) -0.0166 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 50739 (base 13) to base 2\nAnswer: 100011001010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i\/(i\/i**2)*i*i)\/i))**(5\/9)\/(i\/((i**(-1)*i)\/i)*i)**14 assuming i is positive.\nAnswer: i**(-383\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 9) + (5 - (-5 - -12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6*(-3 + 180). Let c = 82 + g. Is (-6)\/(44\/c - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16363, -16360, -16357?\nAnswer: -16354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.089162 milliseconds to microseconds.\nAnswer: 4089.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16911200\/63 or 268431?\nAnswer: 268431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*d - 0*d - 3, -4*t - 9*d + 2 = 0. Let y = -1.03 + 1. Put -1\/4, t, -3, y in decreasing order.\nAnswer: t, y, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 53*z**2 + 592*z + 61. Let k be t(-37). Let s(m) = -22*m - 1. Let n be s(-3). Let p = n - k. Solve g = -3*g - p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5427 and 1206.\nAnswer: 10854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, -7, -206, 1, 2\/9 in descending order.\nAnswer: 1, 2\/9, -4\/19, -7, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 0 - 17*f + 0 + 20*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + (-56 - (-181 - -71)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217276407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907 - 905 + 1794 = 6*g. Which is the third smallest value? (a) -1995\/4 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 8*o**2 + 6*o + 5. Let y(n) = 5*n + 13. Let v be y(-8). Let f be v\/4 + (-1)\/4. Let a be b(f). Solve s + 5*k = a, 0 = 5*s - 3*k + k + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -81*w - 1113. Determine t(-7).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52555\/494 - 1382\/13. Sort y, 0.5, -0.3, -4, -1\/2 in decreasing order.\nAnswer: 0.5, y, -0.3, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1319235 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749.37852 seconds to hours.\nAnswer: 0.2081607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 389, -5, -1\/2 in descending order.\nAnswer: 389, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/5 + 7\/5. Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -835, 2798, 10857, 23336, 40229, 61530, 87233, 117332?\nAnswer: 151821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1240.07 to the nearest integer.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.062 - -0.168. Let t = 10.53 - i. Round t to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3444 by -123.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 11. Let j = 229 + -223. Determine y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 2*d + 25*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8306 + 890.\nAnswer: 886.1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6975187 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006314955 rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84886917.\nAnswer: 3, 37, 157, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.021 - -0.071. Which is the second biggest value? (a) 3 (b) 1 (c) -0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/(v*(v*v**(1\/10))\/v))\/(v\/((v**0\/v*v)\/v))**(-1\/22) assuming v is positive.\nAnswer: v**(-771\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/((-120582)\/(-84))*1573\/44?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1343, 1344, 1345, 1346?\n\"Answer: d + 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 195 = 30*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160022 + 13.7.\nAnswer: -160008.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2 + 4*f. Let u(k) = k**2 - 5 - 6 + 11 - k. Let g(s) = -3*q(s) - 12*u(s). Let w(t) = t - 2*t**2 - t. Determine g(w(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, 39, 10.8, 0.122?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 805381\/60 + -13423. Let u(d) be the second derivative of -1\/6*d**2 - g*d**5 + 0 - 1\/12*d**4 - 1\/6*d**3 + 17*d. Factor u(i).\nAnswer: -(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-24))**(-2\/39) assuming z is positive.\nAnswer: z**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110753483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, u: 7}. What is prob of sequence muum?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62278 or -62277?\nAnswer: -62277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1011462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-1\/8)*x**(2\/19)\/x)\/(x**(-3\/2)*x*x**(-9)))**(-13\/6) assuming x is positive.\nAnswer: x**(-21203\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1833 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 13*k - 68, 2*l - 18*k + 17*k = -12. Let r = 0.229 - 0.132. Which is the nearest to r? (a) 1\/2 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1. Let j(y) = -y + 2. Let n(g) = -j(g) - 6*z(g). Suppose -2*c + c + 4*u = -1, -3*c + 5*u = -10. Calculate n(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 147.821586 and 0.4.\nAnswer: 148.221586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 29*i - 7. Let w(o) = o**2 - 7*o - 2. Calculate -9*w(n) + 2*y(n).\nAnswer: -3*n**2 + 5*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 - 6*y - 5. Let a be d(-5). Suppose b - 4*m = 5*b - 60, a = -5*b - 3*m + 69. What is the greatest common factor of 120 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 40*h**3 - 1 - 42*h**3 + h**2. Let g be n(1). What is the lowest common multiple of 8 and 1 + (2 - 3)*g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1\/21)*g*g**(-7)*g*g)\/((g*g**(4\/9))\/g**(-18)))**(22\/9) assuming g is positive.\nAnswer: g**(-29656\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -281, -559, -835, -1109, -1381?\n\"Answer: t**2 - 281*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(27\/(12393\/(-204))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326995, 326992, 326989?\nAnswer: 326986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*g + 21, t - 4*g - 30 = -6. Let z = -11 + t. What is the units digit of (1 + -4)*z*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 5*g - 4*w - 8, 3*g - 4*w = 24. Solve 4*n = y - 1 - 5, g*n - 2*y = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5441 divided by -4?\nAnswer: 5441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 3*s**2 - s - 3. Let x(u) = -25*u**3 + 0*u + 27*u**3 - 4 - u + 4*u**2. Calculate 4*p(w) - 3*x(w).\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*h*z + 5*a*h + 3*a*z**2 - 39457*a*z - 66*h*z**2 - 17*h - 5*z**2 with respect to h.\nAnswer: 2*a*z + 5*a - 66*z**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -325, -661, -1009, -1369, -1741, -2125?\n\"Answer: -6*b**2 - 318*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, k: 2, d: 6, s: 2, p: 1, l: 2}. What is prob of picking 2 l and 1 x?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900*q + 27050 - 27050.\nAnswer: 900*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350 + -337. Let d be 1\/(((-13)\/(-2))\/p). Suppose -2\/9*n**3 + 1\/9*n + 1\/9*n**4 + 1\/9 + 1\/9*n**5 - 2\/9*n**d = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 + u**2 - u. Suppose -43*g + 8 = -41*g, -q = -g + 10. Let k(x) = -20*x**3 - 8*x**2 + 8*x + 2. Let b(c) = q*y(c) - k(c). Factor b(s).\nAnswer: 2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/7, -0.13, -1.5 in descending order.\nAnswer: 0.1, -0.13, -2\/7, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -9. Suppose 5*d + 6 = m - 26, 4*d + p = 0. Calculate the lowest common multiple of 4 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 - 1 = 0. List the prime factors of s\/(-21)*6*14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192705 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/8*-1)\/((-4)\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 23 (c) -0.02 (d) -6 (e) -38 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751178 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 4, d: 1, j: 1}. What is prob of sequence hd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:47 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 8*t**2 - 4*t + 5. Let k(f) = -f**3 + f + 3. Let w(d) = k(d) - y(d). Let j = 21 - 28. Calculate w(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/6)\/(-7)*18. Suppose -4*h = -d*h - 2*h. Solve -2*m = 2 - h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 - 273. Let q(v) = 17*v - 16*v - 4 - v**a + v. Calculate q(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 + 204.3. What is x rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*f - 4, -4*j + j + f = 5. Let a be 0\/(j - -2 - 3). What is a rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-16) - -14*3\/(-12). Let t be u + (-14)\/(-4) + 13\/(-2). What is the units digit of 3\/(-9)*t - -123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 377680027 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 952 = 4*k, 18*k - 470 = 16*k + 2*o. Which is smaller: 240 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-18)\/(-12))\/(2\/20) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/105585 and 41\/1167?\nAnswer: 41072565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2238, 2\/9, -18 in decreasing order.\nAnswer: 2\/9, 0.02, -18, -2238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-8)*-2)\/(6 - 10). Let b = -16.008 - -0.008. Let g = 15.9 + b. What is the nearest to -1 in k, 5, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 1043*k - 1048*k - 241*k**2 + 239*k**2 to the form h + c*k + s*k**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 16, -1.\nAnswer: -11, -3, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-7) + (-32040)\/(-7). Let y be n\/7164 + -2*(-1)\/18. Put y, -7, -1\/3, 3\/2 in increasing order.\nAnswer: -7, -1\/3, y, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 = -5*x, -p + 35 = 2*x + 28. Sort 47, 2, p in increasing order.\nAnswer: 2, p, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -3. Let m be c\/(-6) + (-1 - -3). Suppose 4*b - 2*b = 3*i - 21, -4*b - 27 = -3*i. What is the smallest value in 5\/2, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 36, 50, 62?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -325*a + 1394. Let j be z(2). What is the greatest common factor of 93 and j?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80325818 to the power of 1\/2, to the nearest integer?\nAnswer: 8962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1076 - -2174. What are the prime factors of k?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 224 + 801 = 2*s, 198 = h - s. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k\/(k*(k*k**(-40\/3))\/k)*k*k)\/(((k\/((k\/(k\/(k\/(k**(-38)*k))*k))\/k))\/k)\/(k\/(k\/k**(15\/8)))) assuming k is positive.\nAnswer: k**(1589\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:50 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -42 + 28\/3*s**3 + 0*s - s**2. What is the second derivative of j(h) wrt h?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 3 = 17*o. Let x be (-1 - (-2 - 0))\/(o\/27). Let a(k) = -k**3 + 11*k**2 + 3*k - 6. Let s be a(11). What is the highest common factor of s and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4768 + 6?\nAnswer: -4762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 123 = 38*k - 1209 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*g - 9*g + 16*g)*(1 + 13 - 1) to w*g + d and give w.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8940 divided by -2235?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/252909 and -31\/1608?\nAnswer: 135559224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19350646*b**4 - 5510284*b**2?\nAnswer: 464415504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-75)*5*5. Suppose y*r + 7*d - 3*d = -20, -2*r + 5*d + 25 = 0. Suppose -n = -r*n + 5. Which is the nearest to 1\/3? (a) -4 (b) 5\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 9d?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3677, -5795, -7913, -10031, -12149, -14267?\nAnswer: -16385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/45 in -1\/4, 3\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = 7 + 25 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29635452257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 4*x**2 + x**2 + (1 - 1 - 1)*(-x**2 + 5*x**2 - 3*x**2) + (0*x - 5*x + 2*x)*(8 + 1 + 2)*(x - x + 3*x) to the form v*x + z + k*x**2 and give k.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {l: 4, m: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -357*m + 10. Suppose 2*r + 6 = -2*l - 4, -2 = 4*r - 5*l. Let x be f(r). Let k = x + -294. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -47*l**2 + 15*l**2 + 16*l**2 + 22*l**2. Let o be 34\/6 + 1\/3. Let j(d) = -6 + o + d. Give j(s(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 145 + 41. Let x = -12 - -37. Let p = x + g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (-624)\/(-32))*(-6)\/(-170)\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9011256.99953 + -9011173. Let s = -9.5 - -93.5. Let q = s - g. Round q to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31944371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80930 and 62728843.\nAnswer: 8093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from tcpspvbsv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1188, 1097, 1006, 915, 824?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 12 = -0*x. Suppose -3*q = -3*m - 15, -2 = q + q + x*m. Suppose -56 = -q*l + 38. List the prime factors of l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89190*i*l*x**2 - 2*i*l - 2130*l*x**2 - 22*l wrt i?\nAnswer: -89190*l*x**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*j - 36*j + 1725 - 1420 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4 - 28*z**3 + 60*z**2 - 52*z + 16 = 0. What is z?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/13*(2660\/42)\/(-95))\/((-6)\/(-9))\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*i + 212*i - 55 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**6\/10 + 81*i**5\/20 + 24*i**4 + 46*i**3 - 48*i - 22. Suppose a(x) = 0. What is x?\nAnswer: -23, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5 + 123*m**4 + 4385*m**3 + 24005*m**2 - 612786*m + 584272 = 0.\nAnswer: -53, -26, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*w - 13 = -11, 0 = -4*v - 3*w - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/120 - k**5\/60 + k**4\/24 - k**3\/3 - 2*k**2. Is 18 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*h**3*t**3 + 4*h**3 + 30*t**3 + 151 wrt t?\nAnswer: -27*h**3*t**2 + 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27\/4 or 0?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.43. Let o = f + 33.97. Let r = -30 + o. Put r, -3, 0.4 in decreasing order.\nAnswer: r, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1047347 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -0.1 (b) 1\/21 (c) -3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 2*h**3 - h**3 + (2*h - 3*h**3 + 4*h**2 - 114 + 20 + 102)*(-1 + 5 - 3) to a*h + k + f*h**3 + j*h**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9737 * 16.\nAnswer: 155792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*j + 261*j - 132*j - 2*j**2.\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + 4*d - 154. What is the greatest common factor of d and 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, -3\/4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 6. Let p be a(-8). Suppose l - 4*k - 8 = 0, -7*l = -p*l - 3*k - 23. Find the first derivative of 96 + 43 - 108 + l*s**2 wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 33. Let v = -20 - -11. Let f = h - v. Let o(c) = -c**3. Calculate o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 2, u: 1}. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*d - 11 - 4 = 0, 0 = -2*d + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3156149.4185 + 13\nAnswer: 3156162.4185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -513 * -177.8.\nAnswer: 91211.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -12*p - 7*p + 5*p + 0*p**2 + p**2 + 49 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 - ((53 - 153) + -113)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:35 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 30*x**2 + 151*x - 254. Determine b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 6*n**2 - 20. Let w be j(-5). Calculate the greatest common factor of w and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1315.3 (b) -0.2 (c) -0.3 (d) -7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -85, 5.\nAnswer: -85, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*h + 4628490 = 177*h. List the prime factors of h.\nAnswer: 3, 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 6*s + 5. Let c(y) = 2*y**2 + 2*y + 2. Let f be c(-2). Let k be w(f). Put -5, 1, k in descending order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 + -190. Is 175\/((-10 + 6)\/x) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*g - 2. Let w = g + 9. Suppose -w*f = -0*f. Solve j - 3*j - 2 = f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 58, -0.3, -9.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*g - 3653, t + 0*g - g - 911 = 0. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65655.93 micrometers in meters?\nAnswer: 0.06565593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (16 + 14 - 14 - -16)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/4)\/(9\/(-48)). What are the prime factors of (-3)\/(-2)*g\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -31332?\nAnswer: -31333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1449\/(-7425) + (-2)\/(-11). Let c = 17\/25 + s. Let j = 0.14 + -0.94. Are c and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -14 (c) -271\/6 (d) 1 (e) -24.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 122. Give z(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(4032)*-1 - sqrt(4032)) - sqrt(28))\/(1*sqrt(256)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -3 - (-39 + 47).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11672 to three decimal places.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28637, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -28 + 114 - (-1 - 3) is divided by 71?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 2\/11 (c) 39\/10 (d) -2\/15 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85.024 + 85. Let g = n - -4.024. Let x = 2\/9 - 17\/36. Which is the nearest to g? (a) -2 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337 (base 8) to base 11\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1100000101010?\nAnswer: 1100000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278962 is divided by 1134?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 776, 1631, 2484, 3335?\n\"Answer: -y**2 + 858*y - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**4 + 284 - 2*v**3 - 2*v - 5*v**4 - 514 + 267 in the form q*v**3 + x*v**2 + w*v + c*v**4 + f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-27))\/((-7)\/42)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 146, 220?\n\"Answer: 74*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 94173, 94163, 94139, 94095, 94025, 93923, 93783, 93599?\n\"Answer: -p**3 - p**2 + 94175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(1 + 3*sqrt(1573)*1 + 1*sqrt(1573) + -2 + -5)*4.\nAnswer: -176*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.387\nAnswer: -1.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*b - 4*z, -144*z = 5*b - 137*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1486247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3845*o - 22674. Calculate v(-6).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*m - 22, 0 = q - 2*m - 0*m. Suppose -3*g + 3*f - 40 = f, q*g - f + 45 = 0. List the prime factors of (8\/(-5))\/2 + (-1078)\/g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 256, 453, 700, 1003, 1368?\nAnswer: 1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/2 (b) 2\/57 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 283379239 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzt when three letters picked without replacement from gzuztgtgbggvgbbtgu?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-2 + (-3 - -4)). Let d be (7 - (-2 - -2)) + p. Suppose -84 = -d*i + 46. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*o - 9*o**3 + 514*o - 12*o**3 - 257*o.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89474 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: What is the greatest common divisor of 2751 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3164 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from cslocs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77579227, -155158453, -232737679, -310316905?\nAnswer: -387896131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -3665, 4, 0.1 in increasing order.\nAnswer: -3665, 0.02, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8662631 to the nearest integer?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 2 - 2 + (0*s**2 + 16*s**2 + 4*s**2)*(-1 + 1 + s))*(3 - 2*s - 3).\nAnswer: -44*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 662 + -662. Suppose c = 43*i - 9*i - 8704. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-10\/9)*(((h*h**(-3))\/h)\/h)**(16\/3))**50 assuming h is positive.\nAnswer: h**(-27800\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*-4*45\/(-1404)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*r + 5*x, -22 = -3*r + 3*x - 16 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-341)\/(-66))\/(-31))\/(6\/4)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 6:43 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564305213?\nAnswer: 11489, 49117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Solve -2*v - w = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 19*a - 24*a = 5625, -z + 5*a + 1145 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -11*j - 60. Sort -0.4, j, 0.5 in ascending order.\nAnswer: -0.4, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2754 = 23*o + 31*o. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1624\/5085 + 16\/113. Let b = i + -2\/45. What is the nearest to 1\/6 in b, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 98.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + i**4 + 0*i**4 + (-2*i**2 + i**4 + 2*i**2)*(-2 + 1 + 2).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.077 and 0.479918?\nAnswer: 0.402918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.1 times -160?\nAnswer: 3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.6, 1\/4, -0.1, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13535 + -7722. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*q - 10*q + 12 - 15 + (-3 + 3 + 3)*(-q + 0*q - q).\nAnswer: 11*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46892 - -11009. What are the prime factors of x?\nAnswer: 57901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s. Let y = 189 - 189. Let u = -13\/9 + 203\/153. Which is the nearest to s? (a) 2\/7 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/131665968 and -53\/51725916.\nAnswer: 1448325648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(24) - 5*-1*sqrt(24) - sqrt(96)\/sqrt(4)*-1)\/(sqrt(8) + sqrt(288)*2 + sqrt(24)\/sqrt(3)*1) + 2)**2.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.685 - 0.115. Let t = f - -6.9. Put 4, -9, t in decreasing order.\nAnswer: 4, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124934 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 155 = -17*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29863 by 2.\nAnswer: 29863\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4853*k + 262059. What is f(54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b. Let i = -25 - -27. Let y(u) = i*u**2 - u**2 - 4*u**2. Give y(h(f)).\nAnswer: -363*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 5\/28*j**7 - 23\/24*j**6 + 10*j**4 + 102*j**2 + 0*j + 0 - 1\/96*j**8 + 1\/3*j**5 + 32\/3*j**3. Find m such that r(m) = 0.\nAnswer: -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(4\/11))\/x*x)\/x**7)\/(x**(2\/9)*x\/x**5))\/((x**1)**(-42)*x**(-3\/10)*x**(3\/5)*x) assuming x is positive.\nAnswer: x**(38453\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, 8 in descending order.\nAnswer: 8, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66.6 - -66.2. Sort 3, -7, 1\/4, y in descending order.\nAnswer: 3, 1\/4, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 131\/7. Let r = -64\/219 + -3\/73. Is r greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8375 - 10*q - 8375 + 10*q - 37780*q**3.\nAnswer: -37780*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 42. Let f be k(11). What is the greatest common divisor of f and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4684.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v + 4 + 178*v - 277*v - 4 + 47*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -4 + sqrt(14)\/(-2*sqrt(2)) + (4*-1*sqrt(112) - sqrt(112))**2 + 4.\nAnswer: -sqrt(7)\/2 + 2796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/4 + (-4)\/(-16). Let p be 5\/l + (1 - -1). Sort -8, p, -5 in ascending order.\nAnswer: -8, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*g - 3*g + 2*g + (2*g - 5 + 5)*(0 - 1 - 1) + 4*g + 2*g - 4*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2667.1066 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1245 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1222694634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1527 = -3127*c + 26543 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*g - 1438 = 0, 21*r - 2150 = 18*r + 4*g. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 17*a**2 - 10. Let f(i) = -16*i**2 + 9. Let c(k) = 3*f(k) + 4*s(k). What is the derivative of c(w) wrt w?\nAnswer: 40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1929637 to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4066597 is divided by 254162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11250204 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111 (base 2) to base 13.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 16 + -58 + 50\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -914, -928, -942?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5405450 (base 6) to base 5.\nAnswer: 32000023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a**3 - 6954975*a**2 - 3974245*a + 2980695 = 0.\nAnswer: -198713, -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 - 77. Suppose w = 81*m - 77*m. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354734 is divided by 2534?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 14 = l, 3*l + 146 - 108 = i for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21092?\nAnswer: 2, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 13*v**2 + 6*v + 15. Let w(b) = -b**3 - 13*b**2 - 44*b - 2. Let a be w(-7). Determine l(a).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (3*sqrt(108))**2 + -1 + -5.\nAnswer: 6*sqrt(3) + 966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145406 - 4526?\nAnswer: -153235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 752181763 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 2*f**2 + 6*f + 2. Let v(c) = -c**3 + c**2 - c - 1. Determine 6*v(a) + 3*y(a).\nAnswer: -3*a**3 + 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z**2 - 4*z. Let j = -9 + 5. Let r(o) = o**3 - 2*o**2 + 7*o. Let w(l) = j*r(l) - 7*u(l). What is the third derivative of w(c) wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/17)\/s)\/(s\/(s**5\/s)*s))\/(s**(3\/2)\/(s*s\/s**(-1\/6)*s))*(s\/(s**3*s))\/((s**(3\/4)*s)\/s)*s*s**(-6)*s**(5\/2) assuming s is positive.\nAnswer: s**(-503\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + d = 41, d - 1 = -0*d. Let c = -2 - p. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.976 + 36.976. Suppose -6*x + 24 = -5*n - 2*x, -5*n - 18 = 2*x. Put n, a, -3 in ascending order.\nAnswer: n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:13 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let f = 214 - 196. Let d be -3 + 894\/f*15\/250. Does d = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o + 16. Let p be (-155)\/55 - (-6)\/(-33). Let z(f) = 2*f - 10. Let b be z(7). Put p, o, b in decreasing order.\nAnswer: b, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87\/2 of a milligram?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = 5*x - 5*o, -4*o = -x - 4. Sort -3, x, 13 in descending order.\nAnswer: 13, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, -12, 7 in descending order.\nAnswer: 13, 7, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -2*g + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = 3*m, 4*i - 12 = -i + m. Suppose 4*f - 3*x - 2*x = 33, -2*f + 3*x = -19. Suppose -f*t + 38 = -2. Is i at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038092930 a multiple of 4685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -5 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let u be d(6). Let h = u - -30. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6*r*r\/r**(-2\/17)*r*r**1\/r**(-2\/13) assuming r is positive.\nAnswer: r**(2270\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145\/8 - 227\/24. Let b be ((-20)\/8)\/(16\/(-320)*5). Is b equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809, 1304, 1797, 2288, 2777?\nAnswer: 3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((2451\/(-38))\/(-43))*28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 962?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87054 is divided by 29015.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmjmgmjmmmmjg. Give prob of picking 1 m and 1 g.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -37*l**3 + 2*l**2 + 7*l + 10. Let j be r(-2). Suppose 0 = -86*v + 71*v - j. Is -12 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*sqrt(6) + sqrt(6) - sqrt(6)) + 6*(sqrt(6) + (sqrt(6) - (sqrt(6) + sqrt(384)))))\/(6*(sqrt(8) - (sqrt(8) + sqrt(80)\/(sqrt(10)*4)) - sqrt(8))).\nAnswer: 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - ((-3 - (5 + -42)) + -1)) + (9 - 19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(14)\/sqrt(2) - sqrt(70)\/(sqrt(20)\/sqrt(2)) - sqrt(21)\/(sqrt(33)\/(sqrt(11)*-2) - sqrt(3)).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -38\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13785 = 2*z + j - 13791, z - 17*j = 6*z + 43 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1\/3, 28, 487?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:20 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4 + 9 + -4). Suppose 0 = -r*y + 51 - 3. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5*2)\/((-14)\/7). Let r(u) = u + j*u - 6*u - 3*u. Let t(y) be the third derivative of y**4\/8 - 2*y**2. Give t(r(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 137 = 3*t + 2*t, -3*y = 5*t - 268. Suppose 51 = -j - 6. Let k = y + j. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y. Let q(t) = -173947*t. Calculate z(q(g)).\nAnswer: -2087364*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-1 + -3 + 2). Let c = 8 + -5. Let y be 0\/(-3) - 2*-2. Solve -l - k*l + 13 = c*b, l - 6 = -y*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2108, 2129, 2170, 2231, 2312?\n\"Answer: 10*q**2 - 9*q + 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 983 by 135.\nAnswer: 983\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpdpzd. What is prob of picking 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5846191 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 27*r + 10 = 0. Calculate the greatest common factor of 14 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(100\/(-24)))\/(3\/(-10)). Let g = 0.00968 + -0.10968. Sort -0.11, i, g, 0.7 in increasing order.\nAnswer: i, -0.11, g, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15855\/(-3171)*(-4)\/(-15))\/((-4)\/93)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11235, -10941, -10647, -10353, -10059, -9765?\n\"Answer: 294*t - 11529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -269*g**2 + 33*g + 5. Let l be y(-10). Let o = -116507 - -77182. Let r = l - o. Round r to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 18, -5, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/6957870 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s + 3822306 = 116*s - 1841990. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 45 - 15 = 0. Let x be 8\/i + (-5)\/3. Let q(a) = 5*a - 1. Determine q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. What is the second derivative of -z - 2*z**3 + 0*z**2 + l*z**2 wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.315 * 29.\nAnswer: -9.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -169, -237, -285, -307?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d - 180. Let n = d - 82. Let b = 76 + n. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -s - 4*a, 3*s + 4*a - 8 = 0. Solve 4 - 14 = 5*n - 5*g, s = 5*n + g - 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -1396\/9?\nAnswer: -1396\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqqqqqiqiqqqq. Give prob of sequence iqqi.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - 7 - (-6 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + (-26)\/(-20). Suppose -5*l = -6*l + 5. Let v be (-3)\/((-12)\/(-16)) + l. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*u = 2*u + 13, -u = -i + 1. Suppose h = i*h - 75. Let t be (-280)\/(-126) + 2\/(-9). Solve t*k - h = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 9*m + 3. Let z(a) = 6*a + 1 - 3 - a**2 + 2*a. Let v(l) = 5*x(l) + 6*z(l). Let t(d) = d**3 + 15*d**2 + 5. Let c be t(-15). Give v(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 2. Suppose -14*u + g*u = -270000. Round u to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53053 is divided by 97?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97954577.\nAnswer: 7, 37, 97, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/333 and -19\/407?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -55?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*u + 43. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + p + 9 = -2*p, -4*p = -f - 8. Let b be 1\/(f\/10) + 3\/(-2). What is the closest to -1\/4 in b, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1230265 smaller than -20914508\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 8044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - r**2 - 3*r**2 + 0*r**2 - 4*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02593 + -0.0263159. Round w to 5 dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 8. Let j = 92.88 + -103. Let s = j - -10.02. Which is the smallest value? (a) 2 (b) s (c) z (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 5 + h - h. Suppose 0 = -t + 2*y - 4, -3*t = -61*y + 62*y - 16. Calculate f(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:16 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75110.\nAnswer: 2, 5, 7, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -64 + 54. Suppose -k = y*k - 4338. Suppose z - 2*r = r + 138, 5*z - k = 4*r. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1625856 and -19\/541952.\nAnswer: 1625856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsf. Give prob of picking 2 f and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*u - 29*u + 12*u + 4 + (-3 - 2 + 3)*(-5 + 2*u + 5) + 5*u + 0*u - 4*u.\nAnswer: -54*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**3 + 2*n**3 + 5*n**3 + 2*n**6 - 9*n**2 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 26 = -3*m + 10*u, 3*u + 8 = -2*m. Solve 6 - m = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*n + 7*n + 2 = 0, -n - 4 = 6*t + 3*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1 + (4 + 1 - 3)*(-2 + 2 + 6) + 0 + 4 - 2)*(-u**3 + u**3 + u**4) in the form y + o*u**3 + n*u**2 + w*u**4 + k*u and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5354*p = -5380*p - 14, -10*m - 397 = 3*p for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 244, 235, 210, 163?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6379077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*h**2 - 862*h**3 + 536*h**2 + 859*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/47*(-54)\/(-54)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2349 is divided by 82.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76115 divided by 3?\nAnswer: -76115\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1235 > 569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + (-3 - 44352\/(-1024)) + -32\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2 - x**3 - 7 - 20*x**2 + 7*x + 32*x**2. Let a be z(8). Let j = a + -627. What is j rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)*(x*x**(-1\/12))\/x*(x\/(x**22*x))**(-12\/11) assuming x is positive.\nAnswer: x**(227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 169434 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q. Let p = -2 - -1.1. Let s be (10 - (2 + 0)) + ((-1368)\/(-20))\/(-9). What is the nearest to 1 in p, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 16 - 5*x + x)*(-1 + 18 + 19)*(2 + 0 - 1).\nAnswer: -72*x - 576","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + o + (-3*o + 0*o + 2*o)*(3 - 2 - 2) + 7*o + 19 - 19 as k*o + n and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, 1 in descending order.\nAnswer: 4, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s - 2982 = -562*s + 802 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (72\/(-14) + 46\/322)\/47. Let t = f + -69\/235. What is the closest to t in 1\/28, -0.06, -2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 5*f - 13, 1119*i - 1117*i + 10*f - 15*f - 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.651 - 6.734. Round w to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 899, 3581, 8047, 14297?\n\"Answer: 892*y**2 + 6*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -556 - -555.663. Let d = y + -0.163. What is the second biggest value in 0.72, 5, d?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/16515345 and -57\/5004650.\nAnswer: 165153450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1505 + -4?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 1\/4*z**2 + 3\/4 - z = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6782723 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 45979?\nAnswer: 45974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4, m + 73 = 2*m - 2*q. Let p = -24 + m. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 79*h. Let r(p) = 6345*p + 3. What is r(m(s))?\nAnswer: 12690*s**2 - 501255*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 9 = s, -3*s + 5*c + 231 = 208 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 674 (b) -2\/9 (c) 2\/3 (d) 1\/3 (e) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.74 from -7452444046.\nAnswer: -7452444045.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2616, -2608, -2586, -2544, -2476?\nAnswer: -2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*y**4 + 26*y + 18*y**3 + 3*y**3 - 3*y**2 - y**3 + 72*y**4 - 145*y**4 wrt y.\nAnswer: -432*y + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 + 3*p**2 - 3*p + 3. Let v(n) = 6*n**3 + 4*n**2 - 3*n + 4. Suppose 4*b + 7 = -5*q, 2*q + 19 = -4*b + 21. Determine q*v(h) + 4*y(h).\nAnswer: 2*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 3*(-180)\/(-297) - (-2)\/(-11). Is -17\/72 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12805 minus 4412.89?\nAnswer: -17217.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 2*g + 4. Suppose 3*c = -c + 80. Let a be 5 - 5\/(c\/8). What is v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*90\/(-380). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1. Let c(f) = 6*f**3 + 9*f**2 + 15. Suppose -29 - 1 = -q - v, q - 4*v = 30. Let x(k) = q*r(k) - 2*c(k). What is the third derivative of x(w) wrt w?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44202 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 15663551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1094967 and 3204.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:14 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.059 - -0.259. Let n = x + 0.8. Let m = 0.08 - -1.92. Which is greater: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:04 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -16*y**3 + 7*y**2 + 17. Let j(m) = -35*m**3 + 14*m**2 + 33. What is 6*j(s) - 13*k(s)?\nAnswer: -2*s**3 - 7*s**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - m**2 + 5*m**2)*(4 - 3 - 3)*(19*m**2 - 52*m**2 + 17*m**2) - 3*m**4 - m**4 + 0*m**4.\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31314 = -58363*h + 57749*h for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2)*-3 + sqrt(2) + sqrt(4)\/sqrt(2) + 0 - -2*(sqrt(128)*2 - sqrt(128)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 8*a**2 + 12*a + 48. Let c be q(-9). Is 22 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15069, 15029, 14971, 14895, 14801, 14689?\nAnswer: 14559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n + 4772 = 30*n + 441 + 171 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/8214 and 35\/8214.\nAnswer: 8214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 124 + 617 = 0. Let n = y + -14. What is the remainder when 15 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 347?\nAnswer: -3\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*r + 42*r - 9613 = -1556 + 2712 for r.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 13*i**3\/6 + i**2\/2 - 2*i. Let p = 52 - 34. Calculate the remainder when k(4) is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-810)\/(-2700))\/((-1)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -157388, -157384, -157380, -157376, -157372, -157368?\n\"Answer: 4*g - 157392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(10\/11)\/g)\/g*g*g\/g**(-7\/3) assuming g is positive.\nAnswer: g**(107\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = -5*y + 2, 4*u - 5*y - 7 = 0. Let a(r) = -r**3 + r**2 + 3*r - 4. Determine a(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10348516, -20697033, -31045550?\nAnswer: -41394067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17087754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -743, -1154, -1565?\nAnswer: -1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -31658.345.\nAnswer: 63316.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238208034.\nAnswer: 2, 3, 1447, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*r**4 - 5*r**2 - 5*r + 4.\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 18*s**2 + 34*s - 36. What is the hundreds digit of u(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let j(n) = -n**3 - 26*n**2 - 2*n - 48. Let p be j(-26). Suppose -15*u + 20 = p*o - 10*u, -2*o + u = 4. What is a(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 9. Let k be y(6). Let l be 11\/(33\/(-18)) - k. Which is the third smallest value? (a) -0.2 (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfxgffgfggxfjgfjggxf. What is prob of picking 1 g, 1 f, and 1 x?\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1240018 and -21\/13640198?\nAnswer: 13640198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 27 - 27 + 3*m**2. Let y(a) = 7*a**2. What is t(y(l))?\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1612 + -1618. Let n(j) = 5*j**2 + 2*j - 2. Let y(k) = -15*k**2 - 7*k + 7. Calculate u*y(i) - 21*n(i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 5*b + 5. Let o be h(-5). Suppose 8 = 3*v + 5*s, -o*v = -0*v - 4*s - 1. Calculate the least common multiple of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220569647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.05 + -1. Let t be 5400\/525 - (10\/(-8))\/((-1)\/8). Let o = -4\/9 - -41\/72. What is the third biggest value in 0.4, o, j, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -6982\nAnswer: 2\/3491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*8\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437\/33772 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 186 - 185. Put -1.6, -4, -4\/9, m in decreasing order.\nAnswer: m, -4\/9, -1.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 11) to base 8\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007574279 rounded to six dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 20*r**3 + 11*r**2 - 17*r + 29. Let c be l(10). Find the first derivative of 84 - 90*m**3 + c*m**2 - 20959*m**2 wrt m.\nAnswer: -270*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385654176?\nAnswer: 2, 19, 53, 136099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 4*l**3 + 7*l**2 - 8*l + 12*l + 18*l. Is c(-5) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:26 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = -20*x - 235. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + w**4 + 2*w**4 + (w**2 - 3 + 3)*(3*w**2 + 0*w**2 - 2*w**2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 256 from -1316.553.\nAnswer: -1572.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3 (c) -5 (d) 87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c - 5*p + 43, -3*c - p + 32 = 0. Suppose -6 = 4*g - g - 5*r, g + c = -r. What is the units digit of (-51)\/g + (-6)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**9*l*l)\/l))\/l*l**(-9))**(4\/33) assuming l is positive.\nAnswer: l**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (20\/45)\/((-32)\/(-12))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416322 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 13 = -1. Let r(n) be the second derivative of 0 - n + 1\/6*n**2 + 1\/9*n**k + 1\/36*n**4. Suppose r(m) = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let l(q) = 8*q**2 - 13*q**2 + 4*q**2 + 2*q**2. Determine j(l(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-14 - (-49 - (11 - 15))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -2572.\nAnswer: -15\/2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 50141 - 33915. Let v = 14156 - 481271\/34. Calculate the common denominator of 2 + (x\/126)\/19 and v.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 875, 2903, 6823, 13259?\nAnswer: 22835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, -2\/29, -12, -2, -0.21 in decreasing order.\nAnswer: -2\/29, -0.21, -0.43, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12*149\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (sqrt(304) + sqrt(304)*-2 + -1 - sqrt(304)).\nAnswer: -4*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*g*h + d**3*g - 2*d**3*h - 21*d**3 - d**2*g*h + 248*d**2*h + 2*d**2 + 2*g wrt d.\nAnswer: 12*g*h + 6*g - 12*h - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-990)\/88)\/(9\/(-24)). Suppose -g*v - 851 = 829. Which is smaller: -54 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5) + -3 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-210*b - 3 - 9 + 13)*(3 - 4 + 3) as c + k*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -915 + 411. Let f be i\/(-11) - 16\/(-88). Suppose s = -3*z + f + 25, z = -4*s + 42. What is the greatest common factor of z and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 34*n**2 - 2736*n - 1. What is z(-38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(5 - 2 - 1)*(1333 - 552 - 572)*(5*q - 5*q + 5*q).\nAnswer: 2090*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.62674282 to two decimal places.\nAnswer: 105.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 - o. Let q(r) = 2*r**4 + 8*r**3 - 10*r**2 + 8*r. Let l(m) = -q(m) - 8*u(m). Determine a, given that l(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + t**4 + 2*t**4)*((2*t + t - 2*t)*(-1 - 4 + 3) + (3 - 3 + 1)*(-19*t - 41*t + 3*t) - t + 2 - 2).\nAnswer: -120*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 128*x**2 + 8*x + 281. Let d be ((-8)\/2)\/((-4)\/(-8)). Let k(r) = 42*r**2 + 3*r + 94. Let a(s) = d*k(s) + 3*i(s). What is the derivative of a(c) wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 60. Give b(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-1)\/2 - 0). Let u = 21.773 + 0.027. Let f = u + -22. What is the third smallest value in -1, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 24*u**2. Let t = -2 + 4. Let p(z) = 8*z. Let r(y) = -y. Let d = 923 + -905. Let o(v) = d*r(v) + t*p(v). Give o(l(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*w + i, 9044*w = 9045*w - i + 11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 15 = -2*m + 2*d, -m - 15 = 4*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) + 3*(sqrt(1800) + (sqrt(1800) - sqrt(1800)*3)))\/((sqrt(100) + 1*(sqrt(100) - -1*sqrt(100)) + sqrt(100))\/sqrt(10)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2. Let o(v) be the second derivative of v**3\/2 - 4*v**2 - 7*v. Give o(f(p)).\nAnswer: 12*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223147?\nAnswer: 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 = 2*s. Suppose 0 = 5*k + s*k. Solve k = -3*n + 5*z + 26, 20 = 2*n + 2*n - 3*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -624028919, -624028918, -624028917, -624028916?\n\"Answer: p - 624028920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(272) - sqrt(272)*-2) - sqrt(17)) + -4 + 2 + (1 + sqrt(17) + sqrt(17))*1)*5 + -4)**2.\nAnswer: 900*sqrt(17) + 42581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2612\/119 - -276\/17. Find the common denominator of 0 - ((-129)\/(-30) + 1) and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b - 46. Suppose -10 + 226 = -9*z. What are the prime factors of k(z)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 226 - 1132\/5. Which is the third biggest value? (a) 0 (b) l (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 + 16*s. Let i(h) = 6*h**2 - 16*h. Let u = -47 + 50. Let k(f) = u*w(f) + 4*i(f). Find the second derivative of k(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -1. Solve -2*c = -n + 7, -3*c + q*c + 3*n = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 349512?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from hxhdyhhxxhhyhhhxh?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a\/(a**(-5)\/a)*a)\/a))**(-11\/4))**(19\/6) assuming a is positive.\nAnswer: a**(1045\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -34*m. Let v(q) = 1677*q + 3. What is v(g(x))?\nAnswer: -57018*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (80\/120)\/(2\/6)*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -0.4 (c) -0.214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(2\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 784367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/17)\/j**5*(j**(-1))**43)**(-44) assuming j is positive.\nAnswer: j**(35860\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757 + 5*h**2 + 12*h - 6*h - 757 - 6*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 15*n**2 + 35*n**2 to q + x*n + b*n**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 24. Let k be (-16)\/m*1 - -5. Suppose 4*p - 5 + k = 0. Let i(d) = 11*d**3 - 2*d**2 + d. Give i(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*f - 33 + 33 - 21*f - 26*f**2 - 6*f as d*f + j + g*f**2 and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*q = -14, -5*m - q + 8 = -0*q. Suppose -54 = -2*r - u, -m*r + 3*r - 41 = 3*u. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 3*z - 4*g, -2*z - 4*g + 8*g = -548. What is the common denominator of -43\/8 and 4 + (-1)\/((-72)\/z)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/12*-3). Suppose -y = -b + 5, -5*y - z*b - 2 = -12. Determine f, given that -1\/2*f**4 + 1\/2*f**5 + 1\/2*f**2 - 1\/2*f**3 + 0 + y*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*(1\/1 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 5 + 36 - 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4499984*u**2 + 1. Let p be m(1). Suppose -929432 = -5*f + 3*i + 3570583, -5*f - 3*i = -p. What is f rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/120 - y**5\/20 - 55*y**4\/24 - 1357*y**3\/2 + 2278*y**2. What is the first derivative of j(t) wrt t?\nAnswer: 3*t**2 - 6*t - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + -7 - (2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42363486 divided by 1925613?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/6 - 1844*s**3\/3 - 22971*s**2 + 1844*s\/3 + 137825\/6 = 0 for s.\nAnswer: -37, -1, 1, 3725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-3*4\/(-4) + -3). Suppose 3*s + p*k - 384 = 0, -3*k = 5*s - 673 + 32. What are the prime factors of s?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u + 2. Let n be q(-2). Let x(d) = d**2 + 14*d. Let i(t) = -7*t. Let c(o) = 5*i(o) + 3*x(o). What is the tens digit of c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232207924 - 11.\nAnswer: -232207935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Let d be v(-2). Suppose d + 2 = 2*f. Suppose 0 = -2*o + f + 1. Solve 0 = -2*p + p - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkrrjlkkl. Give prob of sequence kkl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 172002*y**2 + 1548261*y.\nAnswer: -3*y*(y - 9)*(y + 57343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508286612.\nAnswer: 2, 3, 7, 3413, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20322 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-9) + 44\/198)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:59 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2585, -12, 0 in descending order.\nAnswer: 0, -12, -2585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v - 93. What is the least common multiple of m(-5) and 3072?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 337672835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 0.7, -44\/3.\nAnswer: -125, -44\/3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from kakuaiakuskuu.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -6. Suppose -2*a + h = 29. Let z(b) = b**3 + 8*b**2 - 10*b - 9. Let j be z(a). What is the closest to j in 0.2, -5, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (-8 + (9 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 560.2 + -560. Which is the closest to g? (a) 2 (b) 0.2 (c) 1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958317645 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/351 and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**2 + 326 + 24 + 0*g**2 + 292 - 52.\nAnswer: 15*g**2 + 590","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 5. Let r be c(-3). Let t(q) = 537*q**2 - 5*q - 5. Is t(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2039082056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1220)\/(-1830))\/((-2)\/93)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.082441144 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and -0.17.\nAnswer: -9.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-8)*(-4)\/(-29). Let t = d + -66\/203. Let x = -288 + 290. Put 1, t, x in decreasing order.\nAnswer: x, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.747 + -0.647. Let l be 10\/(-15)*3\/11. Which is the nearest to 0? (a) l (b) w (c) -2\/23 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/(6\/8). Suppose -j - j + 12 = p, 4*j = u*p + 16. Suppose -2*l - l + i = -20, 0 = 2*l + j*i + 15. What is the highest common factor of 55 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 27. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjdjjjdjhjdjjjhdj. What is prob of sequence dhdj?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**2 + 1. Let l(z) = -8*z**2 - 2*z**2 + 15*z**2 - 12*z**2. Calculate n(l(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y - 2*x + 4, 4*y - 2*x + 4 = 0. Suppose -6*v + v + 445 = y. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**3 - 20*j - 11. Let v(b) = 7*b + 3 + 18*b**3 + 1 - 16*b**3. Determine -17*v(m) - 6*y(m).\nAnswer: 2*m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18144 by 224.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:49 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -142*g - 6. Let t be k(-2). Let f = t - 176. What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Let q(m) = -m**3 - 9*m**2 + 4*m - 14. Let l be q(-10). Suppose -l = 5*r - 151. What is the highest common divisor of r and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*t - 2354 = -57*t + 86*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4 = 4*x, -12*q + 3*x - 5 = -13*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -947944 (b) -6 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.45788 litres?\nAnswer: 2457.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 3*h + 5. Let c be v(-5). Round c to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:31 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/5)\/(1\/34). Let v = y - 36\/5. Let a = -115.03 - -115. What is the second biggest value in a, v, 2, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15535, -15536, -15537, -15538, -15539?\n\"Answer: -u - 15534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -619, -558, -457, -316, -135, 86?\n\"Answer: 20*g**2 + g - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3221717603.69+-3.87\nAnswer: -3221717607.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-4)\/3))\/((-17)\/68)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 114 = -4*f + 4*q, 3*q - 63 = -3*f. Calculate the smallest common multiple of f and 17.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 249*j + 1389. Determine w(-5).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 4*s - 4. Let x(v) = 2*v**2 + 9*v + 9. Let g(q) = 9*h(q) + 4*x(q). Let b(r) be the first derivative of r**3 - 3. Give g(b(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 75.65 and -2390747.57.\nAnswer: -2390671.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/5 - 4*m**2 - 14*m\/5 + 36\/5 = 0. Calculate m.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 2*d + 2653 - 732 in the form c*d + i and give i.\nAnswer: 1921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2 + 276296*s + 9542434952 = 0.\nAnswer: -69074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -481 <= -482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + 87 - 132) + (-1 - (2 - 0))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56558*o**4 + 5236*o + 9?\nAnswer: 678696*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (-43 - -16) - (44 + 1 + -2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 6*m**2 + m**2 - 2*m. Let n(c) = -c. Let v(u) = -2*n(u) + y(u). Let z(d) be the third derivative of d**5\/60 + 2*d**2. Calculate z(v(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1077*h + 48467. Give u(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 710215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 13. Solve 0 = -7*x - i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 91*h**2 + 19*h + 59. Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-4*2\/(-28))\/(-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690933976?\nAnswer: 2, 43, 2008529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1. Let j(r) be the first derivative of 2*r**3 - 5*r**2 + r - 12. Let k be j(3). Let d be (k + -16)*2\/9. Let q(c) = c + 2. Determine d*i(m) + q(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4465 <= 9401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 26. Let x(g) = 2*g**2 + 42*g + 196. Let c be x(-14). Solve c = -u - h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 8*s + 3. What is o(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -1.2. Let y = 0.1709 + -6.1709. What is the smallest value in j, 0.1, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 10 = g - 6, -4*g - 39 = -3*y - 100 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**3*s - 2*i**3 + 250*i*s - 13*i wrt s.\nAnswer: -2*i**3 + 250*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6.8. Which is the biggest value? (a) -1 (b) -2\/3 (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**6\/1620 + m**5\/540 - 11*m**3\/3 + 15. Let y(r) be the third derivative of a(r). Factor y(c).\nAnswer: 2*c*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + 4. Let j(g) = -3*g + 3. Let z(k) = k**2 - 20*k + 2. Suppose -3*l = 13 - 73. Let n be z(l). Give n*h(p) - 3*j(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116330 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -510, -500, -476, -432, -362, -260?\n\"Answer: r**3 + r**2 - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 6*f**2 - f + 7. Let p be ((-2)\/(-4))\/((-5)\/(-50)). Let y be z(p). Let l = y + -23. Solve -3*b = -u + 11, -4*b - 24 = -4*u - l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 3, j: 2, p: 2, a: 4, w: 4}. What is prob of sequence yn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/20 - 5*v**4\/12 + 5*v**3\/2 - 34*v**2. Let n be d(-11). Let j = 333 + n. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 52197 = 52449 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-34)\/2) + 1. Suppose -2*p + o - 63 = 0. Let b = -4 - p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 859300633 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let k(y) be the first derivative of y**4\/12 - 2*y + 3. Let v(z) be the first derivative of k(z). Calculate v(r(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w + 2 = 0. Let o be 4*w\/(8\/(-36)). List the prime factors of ((-1300)\/o - -2) + 4\/(-18).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, a: 5, v: 2, j: 1}. What is prob of sequence ajf?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1379905ml?\nAnswer: 0.0001379905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*(-5)\/(30\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 4, -2, 20, 18\/47?\nAnswer: 18\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 2*c**2 + c**2. Let s = 8 + -6. Let b(l) = 0 + s*l - 1 + 1. Give b(q(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14218 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607 = 185*q - 2*q + 2437 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1789, -2\/13, -11 in descending order.\nAnswer: -2\/13, -0.1789, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.45 and 149725118.\nAnswer: 149725118.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-4660))\/((16\/230)\/(-4)). Let q = 3335\/10252 - k. Calculate the common denominator of 71\/12 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - d)*(1531 - 33*d**2 - 1531) + (-2*d - 2 + 2)*(5*d - d**2 - 5*d).\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 51 = 4*o - 4*x, 3*x = 2*o + 33. Let q(k) = -23 + 19 + 10 + 2*k. Give q(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 15*q + 14. Let g be j(-14). Let t = 29 + -30. Let h be -6 + 1 + 0\/t. Sort g, 14, h in decreasing order.\nAnswer: 14, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 55. Let j(v) = v - 27. Let y(b) = 2*j(b) + k(b). Suppose -z + 3 + 1 = 0. Let i(m) = -4. Give z*y(u) + i(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-32))\/(3\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**2 - i. Let v(w) = -24*w**2 + 2*w + 1. Let q(r) = -13*m(r) - 6*v(r). What is the second derivative of q(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9444344, -18888687, -28333030, -37777373?\n\"Answer: -9444343*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -12) + (16 - -15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w - 320. Let r = -881\/11 + w. Is r < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.23 (b) 14597 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 - 384 + 11*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (-11)\/(-4) + 1\/4. Let b(u) = -2*u - 5. Let t be b(p). Let q(h) = 5*h**2 - 1. Let f be q(1). Sort -3, t, f in decreasing order.\nAnswer: f, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133915498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1144 and 1573?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625853 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -3\/7, -2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -21.1. Which is the second smallest value? (a) -5 (b) y (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17200 divided by 200.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {a: 2, o: 3, u: 2, e: 8, k: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1482644983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 - (-17 - -32 - 14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*d - 1, d + 0 = 2*f - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 8*l + 51. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -1\/6 (b) -11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/7, -0.3, -280, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**3\/3 - m**2\/2 - m - 6. What is the units digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x - x)*(-4 + 2 + 4) + 0*x + 2*x - 3*x + (-1 + 1 + 2*x)*(3 - 3 + 3).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190711\/60 - 3177. Find the common denominator of j and (-113848)\/2140*(-5)\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7307 (base 11) to base 4\nAnswer: -2113113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q - 10. Let v(s) = -6*s - 45. Let w(n) = 3*n + 28. Let d(z) = -3*v(z) - 5*w(z). Calculate -11*d(a) + 6*j(a).\nAnswer: 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -56 + 71 + -34.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -54, -100, -164, -252, -370?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 161*u**3 + 42*u**2 - 42*u. Let y(f) = -3*f - 10. Let z be y(-5). Let g be (9\/z)\/(3\/70). Let l(b) = 19*b**3 + 5*b**2 - 5*b. What is g*l(o) - 5*m(o)?\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4281993821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*j + 2. Let b be 11\/j*(-1 + -4). Which is smaller: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + t - 4 = -1, 0 = 4*q + 2*t - 6. Determine k so that -2\/7*k**4 + 0 + 6\/7*k**2 + 4\/7*k + q*k**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1413210166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(110\/22))\/((-71)\/1846)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8268 divided by -7?\nAnswer: -8268\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m + 684 = 948. Is m equal to 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-45)\/(-5))\/(-27))\/((-1)\/(-4)). Suppose 5*a - 1 - 24 = 0, 0 = -2*j + 3*a - 23. What is the smallest value in -1, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-80)\/60)\/((-28)\/6). Let a = -4 + 3. Let f be -1*4*2\/2. What is the nearest to a in -0.4, f, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**3 + 5*v + 6. Suppose -4 = -n - 12. Let x(j) = -4*j**3 + 3*j + 4. Let s be ((-6)\/(-18))\/((-8)\/(-120)). Calculate n*x(t) + s*a(t).\nAnswer: 2*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {i: 6, z: 4, f: 6, p: 3}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -607*w**2 + 607*w**2 + 0 + w**3 + 89*w + 2 to the form l + n*w**2 + h*w**3 + a*w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 726326 = -h, -2*h + 726346 = -5*o - 6*h. Let t be 13\/52 + o\/8. Let y = t - -490325\/27. What is the common denominator of -44\/3 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9094 - -10168. Is y at most as big as 1075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.23494mm to meters.\nAnswer: 0.04223494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 22824?\nAnswer: 68472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/48 + 188\/6. Let c(h) = h**3 - 8*h**2 + 11*h - 15. Let r be c(7). Let o be r + (4 - (-1)\/(-1)). What is the highest common divisor of o and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 + 2194 + 5*j**3 - 2194 + j**3 + 6*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 1 + (-140 + -61 - -150)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 464, -2\/3, -9, 2, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 53204*b + 106400.\nAnswer: 2*(b - 26600)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - -16) + (-29 - 10) - -43) + 112\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7*z + 2*z + 36 = 0, 5*g - 124 = -4*z. Solve 4*x + g = 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-3)\/g))**(-19)*(g**(1\/5)\/g)\/(g*g\/(g\/(g**(-5\/7)*g))))**16 assuming g is positive.\nAnswer: g**(-43728\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**2 - 2*m + 2. Let n be g(-3). Let w = 27 - n. Suppose 0 = -5*x - 23 + w. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197658.8 kilograms in grams?\nAnswer: 197658800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -853310.3 rounded to the nearest 10000?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-26)\/108) - 1240\/8060. Let h be (-158)\/(-14) + (-4)\/14. Let d = l + h. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -15. Solve s + 5*f = 4, f = y*s + 6*f - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 9845144.\nAnswer: 49225720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*o - 13. Let v = o - 0. Suppose -t + 2*m + 2 = 5, -v*t - m = -4. Calculate the highest common factor of t and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 2 + 3 + 0*g. Let o be r(3). Find the second derivative of -w - w**o + 3*w - w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*i + 6*i. Let d = -34 + i. What is the common denominator of -9 and ((-78)\/63)\/(3\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -24*h**3 - 8*h**2 - 8*h. Let p(i) = 8*i**3 + 3*i**2 + 3*i. Let a(k) = -2*k**2 + 153*k + 240. Let b be a(78). Give b*l(v) + 16*p(v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -449212, -449210, -449208, -449206?\n\"Answer: 2*z - 449214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 22547881*v + 90191540.\nAnswer: -(v - 4)*(v + 22547885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + z - 1. Let q(m) = -10*m**3 - 16*m**2 - 6*m + 2. Let n(h) = 2*q(h) + 4*t(h). Let n(i) = 0. What is i?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**4*k - c**4 + c**2*k - c*k - 43*k wrt c?\nAnswer: 84*c**2*k - 12*c**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 53?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 79 = 4*q - 57, -2*u - 6 = 2*q. Let o(p) = 6*p**2 + 6*p - 4. Determine o(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 50, 4 in decreasing order.\nAnswer: 50, 4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0*z**2 + 16 - 9 - 2*z + 0*z**2 - z**2. Let d be a(-3). Suppose -2\/3*f + 2\/3*f**3 + 2\/3*f**d - 2\/3*f**2 + 0 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -g + 4*g + 7, 0 = -u + 4*g + 18. Let p = u + 3. Let d(k) = 3 - p - 5*k - 1. Give d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**4\/8 + y**3\/6 + 26*y**2. Let d(j) = -7*j + 3. What is 2*d(s) - 5*z(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167359 and 1421.\nAnswer: 8200591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 62\/(-5))*(-8 + 3). Let s = -49 + t. Factor 1\/5 + 0*x**s - 2\/5*x**2 + 0*x + 1\/5*x**4.\nAnswer: (x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/9 - 608*j**2\/9 - 48544*j\/9 - 350464\/9 = 0. What is j?\nAnswer: -148, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305940 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 m, and 1 z when four letters picked without replacement from lmzvlvmvz?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1, 0.03, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 933075?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*967973.\nAnswer: -15487568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*j - 6*j = -80 + 208 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*b - 21, -x = -0*x + 4*b - 9. Let w(i) = i**3 + 3*i**2 - i + 4. Is w(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 4863.\nAnswer: -4\/4863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 67, 231, 529, 997?\nAnswer: 1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 3*r**4 + 4*r**4 + (-r**2 + r**2 - 2*r**2)*(2*r - 2*r**2 - 2*r) - 38533*r**4 - 16993*r**4 - 11*r**2 - r**3 + 11*r**2 + 19534*r**4.\nAnswer: -35989*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 77. Suppose 4*l + 91 = 3*o - 171, -x*o - 4*l + 208 = 0. What is the remainder when o is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 463a4 - -4?\nAnswer: 463a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:35 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-1)\/5 - 4983\/(-165).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.7737 and 1.476.\nAnswer: -7.0459812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*l**2\/5 - 754*l\/5 + 168\/5 = 0. What is l?\nAnswer: -84, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 1\/12*t**5 + 0 + 0*t + 35*t**2 + t**3 - 1\/120*t**6 - 5\/24*t**4. Give i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 3, g: 1}. Give prob of picking 2 k, 1 g, and 1 q.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 15 = 6*i + 11, 3*i = -2*r + 41 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/9)*u))\/(u*u*u**(-9))*u**(-5)\/(u*u\/u**(-1\/5)) assuming u is positive.\nAnswer: u**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 13 - 70 = -4*l, 0 = 2*g - 2. Let y = l - 14. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, -0.07, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018519725 rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, d: 1}. What is prob of sequence ttd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 7. Calculate the least common multiple of (6\/18)\/((-3)\/(-9)) and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38149623 is divided by 229817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 - (-71 - -121) - (6 + -3).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2768*s - 6915. List the prime factors of x(13).\nAnswer: 41, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136331 is divided by 2313?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g**3 + g**2 - g + 1. Let n(q) = q**3 - q**2 + q - 1. Give 2*l(o) + 2*n(o).\nAnswer: -26*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5049818 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 520*i = 5951 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose h = y*h. Suppose h = -4*l - 0*l + 676. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let f = -0.072 - 2.928. Which is the nearest to u? (a) f (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {d: 11, t: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - s + 3. Let h be i(0). Let f be (-5)\/(-5) + (-6)\/(-2). Suppose 5*x = f*w - 2*w - 102, h*w - 153 = -2*x. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -3, -5?\n\"Answer: -2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -6 - 12) + (-11 - (5 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -9, -1\/641.\nAnswer: -9, -2\/5, -1\/641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 17*b**2 + 7179*b - 19548. What is d(-425)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 894*s - 1372*s + 18642 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiiiliiiiiiiiiiii. Give prob of picking 1 l and 2 i.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-61164)\/(-84) - (2\/4)\/(49\/14). What is the highest common divisor of x and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372*(4 - (-3)\/6) + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -0.192, -0.06622, -5?\nAnswer: -0.06622","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 13 = -4*i, -i + 5*c = -10 - 17. Let k(j) = -1 - j**i + j + 0*j**3 - 2*j - j**3. Let w be (-1)\/(-4) - (-5)\/(80\/(-36)). Determine k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 788703.6t?\nAnswer: 788703600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000004 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.1754 and -2362.2.\nAnswer: -2338.0246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-9)*(-24)\/288*153?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251752 = 35*c - 27*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = -1. Let p = 1\/340 + 657\/7820. Sort -0.5, p, o, -2\/7 in decreasing order.\nAnswer: o, p, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 828566306\/1521 - 544751. Let h = q - 1\/169. Let s = h - -1\/26. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -315109, -630268, -945427?\n\"Answer: -315159*o + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.2273 + 5.24. Let j = u + 6.9873. Let q = -0.2 + 0.3. Which is the smallest value? (a) q (b) 2\/13 (c) 3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.8 - -26. Let l = h + -0.352. Round l to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1290, 1293, 1296, 1299, 1302, 1305?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3. Let r(f) = -42*f**3 - 2*f + 68. Let g(p) = -r(p) - 2*t(p). Differentiate g(l) wrt l.\nAnswer: 132*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209*t + 1899*t + 942*t)*(-5*t**3 + 3*t**4 + 5*t**3).\nAnswer: 9150*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*l - 36571, 4*d - 7*l = -12*l + 73153. What are the prime factors of d?\nAnswer: 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-12904)\/20*(-15)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*j - o, -j - 2*j = -4*o + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -42, 0 in descending order.\nAnswer: 4, 2, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/5 - 704*k**3\/5 - 6*k**2\/5 + 2116*k\/5 - 1408\/5 = 0.\nAnswer: -2, 1, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.271 to 1 decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 + 13 + -6)) + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 5*c**4 - 7*c**4 - 16*c**2 + 19*c**3 + 4*c**5 - 4*c**4 + 4*c.\nAnswer: 4*c*(c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 - -60656?\nAnswer: 60521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 27*d**2 + 29*d - 22. Let w be 410\/(-41) - (4 + 14). Give o(w).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15717803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -21. Let u(g) = g**2 - 6*g + 2. Let j be u(6). Suppose 5*x + 2 = -3*t, -j*x + 6*t + 20 = 2*t. Solve z = -l - x - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156734788913 - -0.0378\nAnswer: 156734788913.0378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 35134.14?\nAnswer: -105402.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 1, h: 1, g: 3, p: 1}. Give prob of sequence hv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -1753638?\nAnswer: -1753636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*x + 5*x - 2*x)*(3*x**2 + 4*x**2 - 3*x**2).\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227447 by -667.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -22\/7, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((-5)\/(-2)). Let u = 2 - 1. Which is the third smallest value? (a) 5 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3669354 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = -7. Let v = j + 5. Suppose 45 = 3*g + v*h, -3*h = h - 20. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 88 = -4*z. Let w(v) = -31*v**2 - z + 14*v**2 + 18*v**2 + 10*v. Let m be w(-13). Calculate the greatest common divisor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -52?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 - f - 2. Let n be z(-2). Let o be 6 + 2*12\/n. What is the second derivative of x**3 + 2*x + x**4 - x - x**o wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/13))\/a*a**(-3)*a*(a**(-3))**20 assuming a is positive.\nAnswer: a**(-805\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 279\/4, -41, 2\/9, 3\/8, 0, 0.4 in ascending order.\nAnswer: -41, 0, 2\/9, 3\/8, 0.4, 279\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 6 + (1 + 3 - 2)*(42 + 34 - 31))*(-3*s + 2*s + 3*s) to the form p*s + q and give p.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine halves of a millisecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*g - 12, 2*g = -4*w - 3*g. Suppose 138*s = -4*y + 141*s + 2080, -w*y = 2*s - 2600. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*174\/145.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.02 (b) 5 (c) -790\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i = -5*g - 29*i + 62*i + 5, -20 = 5*g + i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988756 is divided by 21850.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Solve n = 5*a + 6 - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360240 = -9*z - 451352 + 1793453. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n = 494*n - 1112. Let a(m) = -2*m - 2. Let h be a(-2). Solve -h*u - 12 = -n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, y: 1, h: 2, j: 9, i: 4}. Give prob of picking 2 h and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54095 and 45370.\nAnswer: 1406470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 532 + -527. Which is the smallest value? (a) -3 (b) 169 (c) n (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -6\/7*g**2 - 1884\/7 + 954\/7*g = 0.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223 - 154. Suppose t = -2*g - 153. Let l = g + 193. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9.3. Let q = -50.5 - -6.5. Let s = -36 - q. What is the fourth smallest value in s, 3, 0.5, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131175 is divided by 2036.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3 - 10*f**2 + 11*f - 1633?\nAnswer: 3*f**2 - 20*f + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6136540 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -5 + (-26 - -39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 464 = 2*s, 34*l + 3*s = 30*l + 362. Find the third derivative of -2*g**4 - 13*g - 3*g**4 + 3*g**4 + l*g + 2*g**3 + 2*g**2 wrt g.\nAnswer: -48*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20206 < -60619\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/2*(-3 + -27). Let n(c) = -2*c**2 - 11*c - 28. Let u be n(-7). Let o be (1 + 4)*1 - u. What is the highest common factor of o and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-5)*120\/36. Let h = -2.9 + 3. Which is the closest to -1\/4? (a) -1\/5 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -231, -349, -467, -585, -703?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 119527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14.94031*-0.4\nAnswer: 5.976124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3378425?\nAnswer: 5, 337, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 279*c**2 - 567*c**2 + 280*c**2. Let w(t) = 10*t**2. Give f(w(a)).\nAnswer: -800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -155*b**3 - 170*b**2 - b - 3. Let o(j) = j + 3. Let i(l) = o(l) + s(l). Find the third derivative of i(m) wrt m.\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 37.3. Which is the fourth smallest value? (a) 0.5 (b) 5 (c) 2\/5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570 divided by -329.\nAnswer: -570\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. What is the remainder when 7 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -3*v - h, -3*v + 99 + 126 = 3*h. What is the remainder when v is divided by (3 + 26)\/(0 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 285*q**2 - 9132*q - 116820.\nAnswer: 3*(q - 33)*(q + 10)*(q + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -168353 times 0.3?\nAnswer: -50505.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k + 21521 = 2*m, 5*k + 53780 = 5*m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3741210 is divided by 7960.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus -800593?\nAnswer: -800602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 11*n. Let q be b(11). Let z = 8 - q. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*o**5*t - 10248*o**4*t**2 + 35*o**2*t**2 + 9223*o**2 wrt o.\nAnswer: -900*o**2*t - 245952*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1900)*1 + (-2 + (sqrt(304))**2 - (-2 + sqrt(19) + -1)).\nAnswer: -11*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16*f + 1266. Let r(o) = -7*o - 636. Determine -3*i(v) - 7*r(v).\nAnswer: v + 654","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1. Let l(x) = -x**3 + 2*x - 6. Let w = 13 - 7. Suppose w + 24 = -5*g. Let v(p) = p**2 + 3*p + 3. Let j be v(-2). What is g*f(h) + j*l(h)?\nAnswer: -h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -16 + -4 + 6 + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**4\/8 + 115*q**3\/6 + q**2 - q. Let o be f(38). Which is bigger: 43\/9 or o?\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83204 - -83244 - (0 - (31 + -1))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1*-1*sqrt(147) - (0 + 1*sqrt(147))) + (sqrt(147) - (-3 + 1 + sqrt(147))) + sqrt(147) + 0 + -4)*-4)**2.\nAnswer: 2688*sqrt(3) + 14496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4, -33*i + 38*i = 3*y - 32. Let l(s) be the third derivative of s**5\/60 + 7*s**4\/24 + s**3\/3 - s**2. What is l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 582, 5, -1148 in increasing order.\nAnswer: -1148, 5, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Let u(a) be the third derivative of a**5\/30 + 269*a**4\/24 + 149*a**2 - a. Calculate r(u(c)).\nAnswer: 2*c**2 + 269*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 - -869\/4. Which is the nearest to 11? (a) -5\/6 (b) -3 (c) 7 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1888 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 311746 and 41347?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*k = 2*k - 4, 5*n + 3*k = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/22 and -73\/5769048.\nAnswer: 63459528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3, -0.1, -2\/11, -3249 in decreasing order.\nAnswer: 3, 3\/4, -0.1, -2\/11, -3249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1095 - -1098. Solve -l*c - 1 = 4*g, -2*g = 3 + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96.52458 litres?\nAnswer: 96524.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1856540000 to the nearest 1000000.\nAnswer: 1857000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 - 0.6. Let d = -544.7994 - -548.59940048. Let l = h - d. Round l to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.479953 - -0.48. What is w rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*j = -52, -j + 2*j = -2*f + 21. Suppose 2*r + 0 = f. Find the second derivative of 4*o + 5*o + r*o - o - 3*o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 476, 477, 478?\n\"Answer: m + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (501\/835)\/((-5)\/(-375)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2610*n**2 + 101779*n - 343. Calculate c(-39).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.1 - -8.56. Which is the third smallest value? (a) -0.5 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 208a (base 14) in base 3?\nAnswer: 21200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15614655 is divided by 1683?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5917, -11848, -17779?\nAnswer: -23710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j + 58 + 36 = -33 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2434363 and 119439?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/33443 - -35713\/37957805. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 - 21*w**2 - 43*w - 21. Let c(y) = 5*y**3 - 30*y**2 - 43*y - 22. Let h(p) = 6*b(p) - 5*c(p). Calculate h(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112121 (base 4) to base 2.\nAnswer: -10110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -57 * 0.1011655\nAnswer: -5.7664335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)*(3 + 228 + -4). Let y = m - -226. Is y at most as big as -2\/199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1958, 7790, 17510, 31118?\n\"Answer: 1944*b**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(126\/(-12)))\/(240\/140). Sort p, -15, 60 in descending order.\nAnswer: 60, p, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10924020 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y**2 - 14*y + 7. What is m(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -47\/1889501?\nAnswer: -47\/1889501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -2*f**3\/9 - 45*f**2 - 268*f\/3 + 1015. Let q(z) = 0. What is z?\nAnswer: -134, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*(-45)\/30\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -52, -1 in increasing order.\nAnswer: -52, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 100 + 325 + (1 - 4 + 1)*(4 + 1 - 4))*(z - 3*z + z) in the form c*z + q and give c.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35522.95m in micrometers?\nAnswer: 35522950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b + 330 = 297 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-10 - -2 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1727696427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/35)\/((-7)\/(-70)) - (-4 - -3). What is the second smallest value in 0, q, 721, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 344217 and -533.\nAnswer: 343684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. What is the second derivative of 5*k + 0*k - y*k + 3*k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2*(-7 + 6). Let v = 2 - c. Find the third derivative of v - 2*y**2 - 57*y**6 - 1 + 64*y**6 wrt y.\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-12) + 129\/(-4). Let x be (-15)\/(-3) + (d - 1). Let z be x*(0 + (-2 - -1)). Which is greater: z or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:56 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.094 - -0.094. Sort -15, 4, t, 3 in increasing order.\nAnswer: -15, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*o**2 + 18*o + 17*o**2 + 8*o**2 + 53*o**2 wrt o?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 11\/249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2421 - 1376. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7828, 7844, 7870, 7906?\nAnswer: 7952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249 + -713. Let k = b - -463.017. Round k to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8612.267 millimeters to nanometers.\nAnswer: 8612267000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*((sqrt(125) - 2*sqrt(125)) + sqrt(125)) - (sqrt(125) + 0 - sqrt(125))*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 20 = y, 11878*a - 11875*a + y - 31 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11.4 (b) -0.2 (c) 1 (d) 248 (e) 0.02 (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + 0 + -3*sqrt(17) + 1.\nAnswer: 1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 493640\/13 and 37972 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 3. Let w be 48\/15 - 1\/5. Let o be j(w). What is the first derivative of 1 + o*u**2 + u**4 + 0*u**2 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:02 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -19411?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 2*c - 1. Let h be v(1). Let x be ((h - 5) + 5)\/20. Let r be (-1)\/(-1)*(2 - 4). What is the third smallest value in 5, x, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.1*-13474\nAnswer: -55243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 27*d. Let p(i) be the second derivative of -5*i**3\/3 - 401*i. Determine p(b(q)).\nAnswer: -270*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 24, 58, 106, 168?\n\"Answer: 7*r**2 - r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 + 1458928.606.\nAnswer: 1459039.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 671165 and 2684660.\nAnswer: 2684660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 greater than or equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, -18, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -372 - -1863\/5. Which is the third biggest value? (a) o (b) 118 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = 4*w + 30, -4*w = -c + 25. Suppose -2*v = -d + 4, d - 4*v - c = 1. Solve 3*p + d = 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147112 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 8*x - 7. Let o be g(-8). Let k(t) = -t**3 - 7*t**2 - t - 4. Let a be k(o). Put a, -4, -5 in ascending order.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o**2 + 22*o**2 + 7*o**2)*(6 - 2 - 2)*(-5*o**3 + 3*o**3 - 5*o**3).\nAnswer: -602*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.83 + -5.73. Let w = 6 + q. Let g = w - -0.9. Is -5 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*x - 70 = -106*x + 214*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1304, 1286, 1218, 1076, 836, 474, -34, -712?\nAnswer: -1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8771207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by -15.\nAnswer: -134\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 696\/10179*(6\/(-24) + 0)*3\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z**2 + 14. Let f(d) = -29*d. Give f(n(u)).\nAnswer: 580*u**2 - 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -14 - 6, 3*k + 4 = 2*q. Let o = k - 7. Let v be (8\/(-20))\/(1\/o). Solve 2*l + 14 = -4*c, -v*c - 6 - 4 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -497 * 0.014.\nAnswer: -6.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 8*l**2 + 42*l - 246. Give w(8).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.63 minus 4.435839?\nAnswer: -14.065839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(-4*(-4)\/504*3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13436 - 115504?\nAnswer: -102035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43935845003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-944)\/(-48) + 1)\/(4\/6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.133 - -9.567. Let t = -10 + k. Which is the third biggest value? (a) t (b) 1\/7 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -570 - -570.1. Let v be (-20)\/(-5) + (-20)\/4. Suppose 0 = -6*g + 3*g + 15. Which is the second smallest value? (a) i (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-10) + 225\/(-1125). Sort n, 6, 0, -4 in ascending order.\nAnswer: -4, n, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**5 - 17000*t**4 + 14466970*t**3 - 28815040*t**2 - 43299015*t = 0.\nAnswer: -1, 0, 3, 1699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -534564 (base 7) to base 11\nAnswer: -63886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12429 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: Calculate 160\/(-8)*(-3)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1076 and 53\/8070.\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 3*b**2 + 6*b - 3. Let o be w(4). Let z(q) = 3*q - 6. Let c be z(o). Suppose 0 = r - c. Solve x = -2*x - r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 384 or -0.2?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 38*u + 60*u - 300 = 0. Solve -4*z = 2*m, 2*m - u*z = -4*z - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/18)\/(2\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 10, -1\/5, -26\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*i - 126*i + 40*i + 9*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1319 divided by -2\nAnswer: -1319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463375575.\nAnswer: 5, 23, 2545001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueg. What is prob of picking 1 g and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1464851 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 3, p: 1, y: 5, q: 5, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times -14232\nAnswer: 19924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**3 + 3*q + 5. Let o = -11 - -16. Let k(v) = v**3 + v - 1. Let y(s) = o*k(s) + i(s). Find the second derivative of y(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 + 36*i**2 + 51 - 27 + 55 + 4*i**3 - 35*i. Let p be w(-37). Solve p + 0 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 + (-88 - (30 + -84))\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 3, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (128\/12)\/((-4)\/(-6)). Let d be ((-4)\/(-6))\/(6\/27). Suppose 5*c - 2*c + n - 4 = 0, -d*c - 5*n - r = 0. Solve -5*b + 2 = -c*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 10360.36 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(6) + 2*sqrt(54)))\/(-1*sqrt(200) + sqrt(2) + (sqrt(216) + sqrt(24))\/sqrt(12) + sqrt(2)).\nAnswer: -sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -22\/7?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(0 + 1 + 0) - 1 + 1 - 2 - 2 - 1 + 9)*(-3*b + 5*b - 3*b - 2 + (-4 + 5 - 3)*(1 - 1 + 3*b)).\nAnswer: -35*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 - 520420*z**2\/3 + 3122516*z\/9.\nAnswer: z*(z - 1561258)*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4988525 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -229 + 219. Let p(n) be the second derivative of -n**5\/20 - 2*n**4\/3 + 11*n**3\/6 + 5*n**2 + 4*n. What is the hundreds digit of p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/49*(-7)\/(42\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7022 take away 19462642?\nAnswer: -19455620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9839 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -164*q**2 + 155*q - 12. Let w(n) = n**2 - 2*n + 2. Let z(x) = s(x) + 6*w(x). What is the second derivative of z(p) wrt p?\nAnswer: -316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184 - 65.\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a6 + -4318?\nAnswer: -4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*d**3*l**2 - 3*d**3 - 401*d**2*l**3 + 2152*d**2 with respect to l.\nAnswer: 48*d**3*l - 1203*d**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3764508 to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 6237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128751406 + -73569507. Let b = q + -55181898.950400803. Let g = b - 0.0496. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211019951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 39 = g. Let w be 4\/26 + (-6)\/g. Suppose -r = -w*r. Let c(d) = -d**2 - d + 3. Determine c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 20 = 4*p, 3*p + 0*t - 14 = -2*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 411.\nAnswer: 82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219174 divided by 5.\nAnswer: -219174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 24 = -3*u, 55393*x + 39 = -5*u + 55391*x for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4636*m = -4632*m - j + 4, 5*m - 2*j = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20821*j**2 - 30*j. Let p(r) = 13*r. Give m(p(l)).\nAnswer: 3518749*l**2 - 390*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/592306 and 44\/95.\nAnswer: 2961530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 1\/6*k**4 + 0*k + 0*k**2 + 0*k**3 + 48 - 2\/75*k**5. Suppose o(a) = 0. Calculate a.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 59*u + 2205 = 0. Calculate the greatest common divisor of 600 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n + 7. Let y be s(4). Suppose 0 = -2*i + i - 4*h - 40, -4*i = h + 205. Let v = y - i. Solve w - 2*l = 9, -l - l = v*w - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 423707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7770 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 58725700 to the nearest one million.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 15*o**2 + 24*o - 2. Let h be m(-5). Let v(p) be the third derivative of p**5\/30 - 5*p**4\/24 + p**3\/3 - p**2. Calculate v(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 4\/237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*z + 4, 5*l - 3*z = -0*l + 16. Suppose 2*s - 12 = -l*k, -4*k + 2 = s - 19. What is the units digit of (1\/(-2))\/(s\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/((-1)\/4). Suppose u = o - 2. Let q = -18793 - -169196\/9. Find the common denominator of o and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5385815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 + -1921\/9. Put q, 5, -1\/3 in increasing order.\nAnswer: q, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/76184 and 95\/56?\nAnswer: 533288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -834, -3246, -7250, -12834, -19986, -28694, -38946, -50730?\n\"Answer: 2*n**3 - 808*n**2 - 2*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4204214 - -4?\nAnswer: 4204223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let w(y) be the second derivative of 4*y**3 + 83*y**2 - 8385*y. Determine z(w(h)).\nAnswer: -24*h - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.402655 to two decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 5, 0.08, 0, 0.1 in decreasing order.\nAnswer: 5, 0.1, 0.08, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5) + -2 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t + 12. Let k be (-94)\/(-18) + (-20)\/90. Suppose -51 = k*a - 1. Let q be h(a). Calculate the greatest common divisor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 294c - 212f?\nAnswer: 81d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*h + 1258 = 287*h. What is the remainder when 216 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f**5 + 0*f**5 - 3*f**5 - 23 - 3*f**5 + 23 + (4*f**4 - 4*f**4 - f**4)*(0*f + f + f).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 8400?\nAnswer: 109200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**3 + 320*t**2 + 2432*t + 6048. Let h(x) = -x**3 - 107*x**2 - 810*x - 2016. Let l(g) = -3*d(g) - 8*h(g). Let l(p) = 0. What is p?\nAnswer: -14, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 + 2*t - 1. Give n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.2 (c) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3383372456 by 4.\nAnswer: -845843114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 224*s**2\/3 + 2670*s - 29700.\nAnswer: 2*(s - 45)**2*(s - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68263.9 + -68264. Let n(d) = d**3 + d**2 - d + 4. Let x be n(0). What is the fourth biggest value in 7, x, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6339 + 8899. Round i to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422 - 48*u - 74 + 44*u to the form q*u + z and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayydadaxdyddd. Give prob of picking 1 y and 1 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + 17)*164*(-4)\/(-24)*51\/34.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4 + 120*u**3 + 504*u**2 + 512*u = 0.\nAnswer: -2, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 351*f**3 + 2*f**2.\nAnswer: -351*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:51 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 593835*x + 593838 = 0. Calculate x.\nAnswer: -197946, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 140*j**2 - 15441 - 26*j**2 + 15441 + 35*j**2.\nAnswer: -131*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7370 by -15.\nAnswer: -1474\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.5019728 rounded to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5773?\nAnswer: 5773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = -p + 15, -2*p = -3*r - 15. Solve -2 - 2*y**2 + y**5 + 7*y**p - 10*y**3 + 2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6512 + -6502. Let s(z) = z**3 - 8*z**2 - 22*z + 5. Give s(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176842 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.499955 micrometers?\nAnswer: 0.000000006499955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*t + 4191*t**3 + 48*t + 25*t - 1.\nAnswer: 4191*t**3 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/1)\/3 - -56. Let k(u) = -d*u**2 + 30*u**2 + 24*u**2. Let c(i) = 3*i**2. Determine c(k(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3\/6 + 21*d**2\/2 - 7*d. Let x be w(15). Let z(u) = u**3 - 6*u**2 + 4*u + 1. Is z(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 11277153.\nAnswer: 11277158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyycjyyyyyyy. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x - 6 + 33. Factor -8\/5*o**x + 0*o + 0 + 4\/5*o**2 + 4\/5*o**4.\nAnswer: 4*o**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/4 - 3*c**3 - 4*c**2 + 6*c + 2. Let q be (-2)\/16 - (-4410)\/(-560). Calculate i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three quarters of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 3*x - 16. Let y be f(4). Let m be 384\/4 + 0 + 4. What is the greatest common divisor of m and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*p + 2 + 8, 0 = 5*r + 10. Suppose 13 = 2*a - 3*v, -v = -p*a - a + 5. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 285, 2367, 4?\nAnswer: 2367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 463 divided by 3\nAnswer: 463\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7172 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11133.4349 to the nearest integer.\nAnswer: -11133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14257717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 + 56*p - 19. Give k(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 475 + -524. Put 3, 0, a, -1 in decreasing order.\nAnswer: 3, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 10*c**2 + 6*c + 2. Let t be x(5). Let r = t + -12. Let a be 6\/(-12) + (r\/(-12))\/5. Which is smaller: 0.8 or a?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 44. Suppose 2*s = -4*x + 64, -s = -x - x - 44. Suppose -2*a - 5*z + 33 + 9 = 0, -2*a = 4*z - s. Solve 5*c + 3 + a = m, -3*m = -5*c - n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3232 and 1212?\nAnswer: 9696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, 26, 2 in increasing order.\nAnswer: -14, 0, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -329 (base 15) to base 7.\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/898 and 11\/4?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*m + 106, -y + 4*m + 7 = -23. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 34. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/806828 and 101\/66.\nAnswer: 2420484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-10 - (-1 - 32) - 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134*p**3 + 23*p + 959.\nAnswer: 402*p**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 49*y - 26. Let b be q(-24). Is 20 a factor of (-45)\/((-18)\/b) - -408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89973\/(-209937))\/((-17)\/(-7)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, u: 3, p: 1, z: 5, t: 1}. Give prob of picking 1 t, 1 b, and 2 z.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1422343214 (base 5) to base 16.\nAnswer: -38b16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*j**4 + 9*j**3 + j**2 + 3*j + 12284 wrt j.\nAnswer: -2784*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268 + 158. Let h = -71 - j. Suppose 6*z + h - 219 = 0. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32793 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -5, -32, -79, -152?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2139? (a) 0.5 (b) 903 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 0, 4*s - 2*k - 408 = 2*k. Suppose -4*x - s = -7*x. What is the greatest common divisor of 85 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 8 = -8*p, -p - 11 = 5*u. What is the second smallest value in 0, u, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 345 + 54*z - 348 + 27*z. List the prime factors of t(1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22501 and 1.45.\nAnswer: 22502.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31436 and 285092?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 218. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/((u*u**(-2\/57)\/u)\/u)*u*u)\/u)\/((u**(3\/2)\/u*u)\/u*u))\/(u**4)**(5\/19))**(6\/13) assuming u is positive.\nAnswer: u**(13\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13464 divided by 51?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 5, y: 2}. What is prob of picking 1 z and 2 y?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.030156 hours in milliseconds?\nAnswer: 14508561.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281 or -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-6)\/4 + 2) + 195. Let k = r + -137. Calculate the highest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 751 - 747. Solve -4*i + r*x = 32, 4*i + x = 3*x - 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439200 a multiple of 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -332 - -340. Suppose b = c*b. Solve 8*i - 3*i - 4*w + 3 = b, -2*i + 6 = -4*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/b)**8)**(-6\/7)*((b**(-1))**(-6))**(2\/7) assuming b is positive.\nAnswer: b**(396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23504711 or -23504710?\nAnswer: -23504711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -595.006247 rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (142\/72)\/(7\/84*-9) and -68\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.03595 years to centuries.\nAnswer: 0.0703595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*0\/((-4)\/4). Let g be (2 + 0 - 1)*2. Suppose 0 = -4*i - 3*f + 21, 0 = 2*i + 5*f - g*f - 15. Put c, -3, i in ascending order.\nAnswer: -3, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 - -1)*(0 + 8). Let j be 50\/l + (-22)\/121. Let s be (-16)\/28*21\/6. What is the second smallest value in s, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*z + 90 = 0, 0 = 4*m + 3*z + z - 44. Let i = 103 - 103. Suppose -8*x + 194 - 58 = i. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 6*h**3 - 8*h**3)*(-2*h**2 - 3*h**2 + 4*h**2 + (3*h**2 + 0*h**2 - 4*h**2)*(0 + 0 + 2)).\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 67\/2, 0.3 in descending order.\nAnswer: 67\/2, 0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -479, 24.\nAnswer: -479, -127, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1879*k**3 + 291 - 1151*k**3 - 291.\nAnswer: 728*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -71. Suppose -2*z - 2 = -3*z. Suppose p = d - z. Solve -2*h = -4*u - 6, u + d*h + 6 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/700 and -51\/4900.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 73080 = 4284. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.371 (b) -5\/4 (c) 12 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**2\/2 + 3*k + 1. Let v be y(5). Let i be -1 - -2 - v\/1. Solve -i*g + 2 = 5, 2*g + 10 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17 + 1 - 1029*k + 1037*k. Let f be i(2). Solve f = 9*m - 10*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1592, 1596, 1600?\nAnswer: 1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v + 177. Let n be z(-11). Let u(q) = q**2 + 9*q - 9. Determine u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/21)\/((217\/93)\/(21\/(-18))).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18720 divided by 6\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -40, -61, -86, -115?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m)*(m**3 - m**4 - m**3) + (0*m + 2 - m + 9*m)*(0*m + 0*m - 2*m**4).\nAnswer: -15*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7182398 is divided by 1197059?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47887 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6*0\/(-2). List the prime factors of (-7 - -40)*(i + 1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 320 + -315. Calculate the greatest common factor of l and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 0. Suppose 0 = 3*w - 3*m + 6, -i + 6 = -4*m. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19*i**3 + 14*i + 26*i**2 - 21*i**3 - 28*i**2. Let j(o) = -o**3 + o**2 + o. Let f(l) = -2*j(l) - z(l). Find the second derivative of f(k) wrt k.\nAnswer: 252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -779787350 minus -0.3128?\nAnswer: -779787349.6872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92339 - 459918\/5. Let a = 55603732\/158445 + -20\/31689. Let y = a - i. Calculate the common denominator of y and -47\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -16*g. What is u(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5055 is divided by 194.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.242473ng in milligrams?\nAnswer: 0.000003242473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -9. Suppose 2*q = -4*k - 0*q + n, 5*k - 21 = -q. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*j - 16, 2*j + 2*q + 3*q - 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-7)*i\/i**(-8)*i**11\/i**12)**41 assuming i is positive.\nAnswer: i**656","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, d: 9}. Give prob of sequence ppp.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*c + 68, 2 = c - 3*u - 0. What is the highest common factor of 84 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (7 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeewiqqwi. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13480 - 13362. Calculate the remainder when 468 is divided by r.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17791, 17789, 17787, 17785?\n\"Answer: -2*i + 17793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 12726.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -477.4.\nAnswer: -481.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 8*v**2 - 6*v**2 + 3352 - 5*v**2 + 27*v**2 - 9*v**2.\nAnswer: -v**2 + 2*v + 3352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21253947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013789742 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 + 434*l**3 + 26373*l**2 - 5217872*l - 77066836 = 0. Calculate l.\nAnswer: -253, -14, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t**2 + 8*t + 9. Let l(s) = -s**2 - 186*s + 186. Let p be l(1). Give k(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-8*((-240)\/(-180))\/(56\/21).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 1\/2, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36761 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*c + 51 = 0, 5*f + 5*c - 19 = 111. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.4609406 to three decimal places.\nAnswer: -4.461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*-3 - (-1)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 3. Let q be n(7). Suppose q - 17 = -s. Let w be s\/(-48) + 2\/3. Which is the third smallest value? (a) 4 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003634 rounded to four dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 2*n - 3. Let a be o(3). Let j = 1474\/9 - 164. What is the closest to a in 3, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2) - 2\/4. Suppose 5*x - 3*x + 8 = 0, 0 = 5*q - x - 4849. Suppose -3*o = -p*m - 763, 4*o - 5*m - q - 60 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 13*c + c)*(0*c + 3*c - c).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -27328000 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641963 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42937*j**4 + 60*j**2 + 1168873*j.\nAnswer: -515244*j**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 9:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2*1\/10). Let b be (a + 1)\/(2\/(-1)). What is the second derivative of -p - p**2 - 5*p**2 + 2*p**b - 3*p wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302471 and 3445?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 25, -12.\nAnswer: -12, 5, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 743446?\nAnswer: -743437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - y = -16, 5*g - 3*y - 29 + 57 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4024\nAnswer: -5\/4024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 57) + 25 + (-2 - -18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07365663 to 4 dps.\nAnswer: -0.0737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 14.5. Suppose -4*o = -5*k + 2*k + 16, -2*o = -3*k + 8. Suppose k = 4*b + f - 8, 0 = -2*f - f. Put b, 0, c in descending order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(57)\/sqrt(3) - sqrt(19)) + -3*(sqrt(19) + 3*sqrt(19))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 - -251.97. Which is the closest to 0? (a) 2\/15 (b) i (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-960)*98 - (-2)\/6. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2 - (3 - (-297)\/(-36))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 10*p**2 - 14*p + 16. Let o be v(-7). Let n(j) = -11*j + 24. List the prime factors of n(o).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q - 4*q + 5*q + 2 + 0*q. Let n be (96\/30)\/((1\/20)\/(-1)). Let x = n + 56. What is j(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 divided by -45?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + o**3 - 4*o**3)*(-437 - 29*o + 437)*(15 - 41 + 10).\nAnswer: -1856*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -1\/8*y**4 - 1\/6*y**3 + 9*y**2 + 0 + 0*y. Let p be q(-5). Solve 0 = -c + 3, h + 0*h + 5*c - p = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661253 != 661255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**3 + 942*k**2 - 3581*k + 3557. Let n(j) = 5*j**3 - 468*j**2 + 1790*j - 1778. Let f(m) = 2*a(m) + 5*n(m). Factor f(i).\nAnswer: 3*(i - 148)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 - 61. Suppose 2*k = -k - f. Round k to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/(-3) + -4)*-2. What is the closest to t in -0.5, -1\/6, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25294 + 6?\nAnswer: 25300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -6) + -12 + 9. Factor 2\/7*u**3 - 6\/7*u + 0*u**q + 4\/7.\nAnswer: 2*(u - 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -11*w - 91. Which is the nearest to 2\/3? (a) w (b) 2\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.04 and -0.3.\nAnswer: -9.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-9)\/(-6))*16\/(-24). Is k not equal to -2.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-4\/3))\/(h\/h**(-1\/4)))**(2\/45) assuming h is positive.\nAnswer: h**(-7\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -7, -13, 16, 4 in ascending order.\nAnswer: -13, -7, -1, 4, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 440059.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 286.6965 millilitres?\nAnswer: 0.2866965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-9) - 8\/36. Suppose -b*l = 5*w - 27, 6*l = -w + 5*l + 6. Let n be (-9300002)\/w - 2\/(-3). Round n to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 26*n**2 - 60*n + 72. Give a(28).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 622567 - 324531. Let f = g + -298036.640065. Let b = 0.64 + f. What is b rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 240779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(-3)*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -2*i**3\/3 + 54*i**2 - 1458*i + 20. Factor v(a).\nAnswer: -2*(a - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/6 - m + 1. Let v(u) be the first derivative of w(u). Let z(o) = -3*o**2 + 7*o - 7*o. Determine z(v(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1328219*0.3.\nAnswer: -398465.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-142)\/(-164))*137024\/(-376816)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19711 divided by -5.\nAnswer: 19711\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.052 + -0.048. What is the nearest to w in -0.05, 1\/9, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/60)\/((27\/105)\/(-3))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4}. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -10. Let m(r) = -r - 8. Let x be m(j). Does 8 divide 1\/x*2 - -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.331 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11076911 by -349.\nAnswer: 31739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 593 + -572. Suppose 5*i = m - k, 17*m = 2*i + 18*m + 7. What is the second biggest value in i, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1185 and -842536.\nAnswer: -843721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 95. Let b = -29 + v. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(1\/12)*s)*s*s\/(s**(1\/15)*s*s)*(s**2)**(-38) assuming s is positive.\nAnswer: s**(-1523\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*l + 0*l + 37 = 0, -5*z - l + 10 = 0. Let g = 4 - z. Suppose -g = -k + 2. Solve -k*q - 25 + 0 = 5*c, q = -4*c - 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 17. Let b be i(5). Is (8\/b*3)\/((-6)\/609) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4874988*0.3.\nAnswer: 1462496.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0247 + -0.0126. Let n = k + 22.0373. Sort -1\/7, 11, n in ascending order.\nAnswer: -1\/7, 11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + g**2 - g. Let z(v) = -9*v**3 + 6*v**2 - 2*v - 21. Calculate 2*j(q) - z(q).\nAnswer: 11*q**3 - 4*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14))\/(4\/(-28)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-270))\/7*-2\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 57 - (1 - (-1 + 3 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Which is smaller: 15\/7 or x?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 f when four letters picked without replacement from ttfffftftttttfftfftt.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049707 rounded to six decimal places?\nAnswer: -0.000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 + 2*k + 4*k**2 - 27*k**3 + 5 - 3. Calculate the remainder when a(-1) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from hchx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 5*u**7\/14 + 3*u**3\/2 - 40*u. Find the second derivative of i(d) wrt d.\nAnswer: 300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 10539571\nAnswer: 1\/1505653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4, 2\/7, 2\/101, -3, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*m + 22, -9 = z - 2*m - 1. Let a(q) = -q**3 - 13*q**2 + 14*q + 16. What is the units digit of a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/5*(-73)\/(-10))\/(30\/2250*-15)?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*n**3 + 26*n**2 - 63*n**3 + n**2.\nAnswer: -3*n**3 + 27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -2\/3*c**3 + 0*c**2 + 0 + 2*c. Let h(f) = -f**2. What is h(s(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543969415 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1\/3 (c) -2\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 - 2*y**2 + 6*y - 7. Let h be z(2). Put h, 3\/8, -3 in increasing order.\nAnswer: h, -3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 212286.\nAnswer: 10189728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 12*s + 1. What is g(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2\/2 - 3*f + 2. Differentiate g(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + d**3 + d**3 + (-d**2 + 2 - 2)*(0*d + 5*d - d) to the form b*d**2 + j + x*d**3 + m*d and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 + 6?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*-1*48\/200\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -189?\nAnswer: 4\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 60*j - j**5 + 3*j**3 + 5*j**3 - 37*j - 18*j**2 - 14*j.\nAnswer: -j*(j - 3)*(j - 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 1326204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6225732 and 644?\nAnswer: 43580124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:13 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -7*p**5\/4 + 1348*p**4 + 1161489*p**3\/4 + 988783*p**2\/2 + 123067*p - 82302 = 0.\nAnswer: -174, -1, 2\/7, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285.299996038 - 285.3. What is x rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 (base 10) in base 8?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -3\/4*r**4 - 5\/2*r**2 + 0*r + 3*r**3 + 3 - 1\/5*r**5. Suppose z(p) = 0. Calculate p.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3))**27 assuming p is positive.\nAnswer: p**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 7*d - 14. Let x be h(9). Suppose 0 = x*m + 139 - 1415. What is the highest common factor of 29 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 11*a - 7. Let s be y(5). Suppose 7*k = 4 + s. Calculate the highest common divisor of k and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1404551260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -178*w**3 + w**2 + w - 4. Let i be u(-4). Suppose -2*h - h + 2*j + i = 0, -5*h + 19000 = -4*j. Round h to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -14*n + 19*n. Is n bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 36748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816940, -816511, -815350, -813091, -809368, -803815?\nAnswer: -796066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10773?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57999 is divided by 1442?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746073.\nAnswer: 7, 249439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/v*v)**(-2\/19)\/((v\/(v*v**10*v*v))\/v**(-23)) assuming v is positive.\nAnswer: v**(-623\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + l**2 + 3*l**2)*(-3*l + 0*l + l**3 + 2*l).\nAnswer: -l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24176)\/4533*(-9)\/(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10217 + -2?\nAnswer: 10215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8792 - -4?\nAnswer: -878a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03771334 rounded to 5 dps?\nAnswer: -0.03771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086 = 4*a - 21*a + 2154. Let g(t) = 2 - 8*t + t**2 + 1 + 2*t. What is g(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*g - 7*g. What is the derivative of 1 + 14*c**g + 0 + 3 + 16 wrt c?\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 6}. What is prob of sequence br?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a850b (base 14) in base 16?\nAnswer: -1ed4df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26.37354, 2.\nAnswer: -26.37354, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 3*i**3 + 963*i**2 - 9355*i + 22950.\nAnswer: -(i - 27)*(i - 5)**2*(i + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175.1 + -175.22. What is the biggest value in a, 0.4, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 6300?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12705349, -12705345, -12705341, -12705337, -12705333, -12705329?\n\"Answer: 4*t - 12705353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3260.\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u**(-19)\/u)*u*u*u**(-7))\/(u*u**(-1\/3))**(4\/13) assuming u is positive.\nAnswer: u**(655\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 4*z = 3530. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Let j = h + 4. Calculate the remainder when 25 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-1 + sqrt(3))*-4) + -3)*-1.\nAnswer: -5*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 6. Sort a, -0.5, 2 in decreasing order.\nAnswer: 2, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 294 = 20*d. Suppose 7344 = d*b + 456. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c**2 + 69 + c**2 - 113*c + 9*c**2 + 7*c + 19*c**2. Find the first derivative of s(w) wrt w.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 136 = -3*i, -4*l + 0*l = -i - 258. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181826 is divided by 285.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -34*i**2 - 152*i - 94. Determine t(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-722 - (13 + -17))\/(2 - 1). Let k = h + 242. Round k to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p + 4. Suppose -3*l + 47 = -22. Let t = 20 - l. Let s(d) = -1. Give t*s(o) - u(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 94*j - 1740. Let l be q(68). Calculate the greatest common divisor of l and 12810.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 109*c**4 + 2*c**2 - 955*c + 12017093 wrt c?\nAnswer: 436*c**3 + 4*c - 955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + -4 + (sqrt(2448) - 6*-2*sqrt(2448))*-5 + 3 + (sqrt(2448) + -1 - sqrt(2448)) + 5)**2.\nAnswer: -31028412 + 9360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 3*b + 0 - 7. Suppose 5423 = 5*r + 1513. Let p = r - 787. Determine o(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 186, 183, 178, 171, 162, 151?\n\"Answer: -u**2 + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -4 in decreasing order.\nAnswer: 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 10860 + 10860.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 58. Let j = -113 + 22. Let y = b - j. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {m: 4, y: 8, l: 8}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -105 + 55 + 53 + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 81875423 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 2074991?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*h - 5*j, -3*h + 21*j = 22*j - 62. Let d be -1*h\/1136*5\/(-25). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/2, 4, -3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38\/11, -2\/11, -2, -1.2, -4 in descending order.\nAnswer: 38\/11, -2\/11, -1.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920 is divided by 1711.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 53.\nAnswer: -6, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72.58 + 72. Let x = n + 6.88. Let r = -6 + x. Which is the third smallest value? (a) r (b) 3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -301, -589, -1037, -1699?\nAnswer: -2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.72745 microseconds to milliseconds.\nAnswer: 0.04672745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 + 24258985*h**2 + 29424905532015*h - 29424929791005 = 0. Calculate h.\nAnswer: -2425899, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591401 is divided by 295694.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4616 * 0.064\nAnswer: 295.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20474 is divided by 195.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*a = -81*a - 85*a - 10816. Suppose -3*n = n - 8. Suppose 4*d - n*d + 3*f - 338 = 0, -f = -2*d + a. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-6)\/20). Suppose -j + 0*t + 50 = -4*t, 55 = j - z*t. Is 15 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 1662, 1660, 1656, 1650, 1642, 1632, 1620?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 e when three letters picked without replacement from receejcrecrrcrc.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m = 980 - 200. Calculate the smallest common multiple of m and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(84)\/(1*sqrt(1728)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20807, -20829, -20851, -20873, -20895?\n\"Answer: -22*v - 20785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67669 is divided by 1187?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.34 + -57.66. Let s = i - -62. Put -1\/5, 5, s in increasing order.\nAnswer: -1\/5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/(-12) + 2)*1. Let v = 0.4 - 0.7. Let j = -0.7 - v. Is g equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5091, 25.\nAnswer: 25, 26, 5091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 10*h**3\/3 + 15*h**2\/2 - 297*h - 132. Differentiate m(d) with respect to d.\nAnswer: 20*d + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 0.5, -4\/9, -4 in decreasing order.\nAnswer: 14, 0.5, -4\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*g = 6, h + 5*g - 6*g + 6 = 0. Let o(b) = 10*b. Let z be o(h). Let q = z - -133. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/130 (b) 3\/8 (c) -2\/2117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/21782 or 1?\nAnswer: -3\/21782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**6\/3 - 3*p**2 - 1. What is the second derivative of g(f) wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 495*d + 369.\nAnswer: (d + 123)*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) - (-1)\/1. Suppose 0 = -x*h + 5*v + 112, 5*h - 95 = -2*v + 71. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/775 - 787\/4650. What is the fifth biggest value in 1\/2, -11, -0.4, -0.2, c?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.86343292 and -5.\nAnswer: -4.13656708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/588 and 85\/168.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 89*n + 6*n = -882. Solve n = -5*a + 3*f, 0 = -a - a - 5*f - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 130*i**3 + 8*i**2 + 559. Let o(v) = 87*v**3 + 5*v**2 + 372. Let u(g) = 5*a(g) - 8*o(g). What is the derivative of u(j) wrt j?\nAnswer: -138*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/20 + r**4\/24 - 5*r**3\/6 - 6*r**2. Let j be f(2). Solve -j = -4*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 939 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19309 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: What is the second biggest value in 3, 6.26372, 1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -429 - -432. Solve -2*n + 1 + d = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 0*i + 1023 - 509 - 514.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 + 32*b - 127. What is t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1232 by -81.\nAnswer: 1232\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07648692 to 3 dps.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1843072 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 9*k - 27\/5*k**2 + 15 + 3\/5*k**3 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 9:24 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28)\/210*10)\/((-2)\/276) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*k - 3*u + 2, -3*k + 4 = -2*u. Let m(y) = 11*y**2 - k*y**2 - 2*y**2 + 3*y**2. Let b(p) = p. What is b(m(q))?\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 5. Let f be w(-8). Let s = 4 + -7. Let a = 5 + s. Solve 0 = -4*z - f - 13, -a*m = -2*z - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 135.7?\nAnswer: 135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/36 and -127\/15222?\nAnswer: 91332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/4*(-2022)\/(-15165).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 4.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2225.955 + -2211. Let z = b - 15. Round z to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*o - 28 + 15, -u - 5*o + 15 = 0. What is the closest to -1\/3 in 31, u, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24140.\nAnswer: 2, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j**2 + j - 2. Let n(h) = h**2 + h - 1. What is n(v) - q(v)?\nAnswer: -21*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r - 6. Let m = -6 - -13. Let l(d) = d + 2 + 3 + 0 - 6. Let h(u) = 10*u - 8. Let p(n) = h(n) - 3*l(n). Give m*p(w) - 6*x(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 44*a = -286 + 763 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 12*o + 7. Suppose s - 13 = -11. Suppose -2*r - s*b - 16 = 0, 44 = -5*r + 3*b - 7*b. Is 2 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*c - 14 - 3, 2*y = -c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 3*d + 4*d - 1, -4*c = -2*d - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 1)*(19*s - 146*s - 42*s)*(s**2 + 1 - 1).\nAnswer: -1014*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/12*1)\/(60\/(-6400)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3500783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f + 23*f - 100*f**5 - 1827*f**2 + 407*f**2 - 13*f wrt f?\nAnswer: -6000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220918032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010011110110101110 + 1000?\nAnswer: 100010011110110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3724, 10629, 17548, 24487, 31452, 38449, 45484?\nAnswer: 52563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2464 (b) 0.1 (c) 19 (d) -10 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4599*v**2 - 10752*v**2 - 9406*v**2 - 5322*v**2 in the form s + f*v + o*v**2 and give o.\nAnswer: -20881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 24 - 736. Let j = 161 + h. Is 19 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1))\/(20\/(4900\/(-35)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4722.455 to zero decimal places.\nAnswer: 4722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 11. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.7 - -14. Let u = l + 1.6. Let r = 0.09 - 2.09. What is the third biggest value in u, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1198628 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 618 + -613. Solve k - 4 = 2*q, -17 + h = -3*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/120 + 29*y**5\/60 + 4*y**4\/3 + 7*y**3\/2 - y**2 - 9*y. Is k(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3137*d + 1406 = -3063*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 28665893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:23 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixzmmzxyyiykik. Give prob of picking 1 x, 1 m, and 1 z.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 7*m**2 - 4*m + 32. Let o be g(-8). Suppose 7*l - 75 - 1605 = o. Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 36 + 32 = 0. Let z be (1*-1 + -3)*1. Is z at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -4 (c) 4 (d) -0.4 (e) 1\/5 (f) 2\/19 (g) 4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 90044*y**3 - 3*y**2 - 3*y - 3. Let f be i(-2). Let o = -373387 - f. Let k = -146974 + o. Round k to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/315 + o**5\/120 + o**4\/8 + o**2. Let t(r) be the second derivative of a(r). Calculate t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 68. Suppose -22*k = -i*k + 9. Suppose 0 + 13\/5*n**4 + 3*n**k + 1\/5*n + 7\/5*n**2 + 4\/5*n**5 = 0. Calculate n.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-387)\/243 + 13\/(-117)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l = -870. Suppose -5*a = 105 - l. Let b = 63 + -41. What is the greatest common factor of b and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40e4c (base 15) to base 9\nAnswer: -343170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*w**2 + 136 - 97*w**3 + 20*w - 8*w**3 + 43*w**2 - 16*w**2 wrt w?\nAnswer: -630*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 5078364.\nAnswer: -609403.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22273 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -0.4 (b) 2\/3 (c) 2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb893c + -1?\nAnswer: -bb893d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j**2 - 28*j**2 + 8*j**2)*(77*j**2 - 1986 + 1986).\nAnswer: -2695*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6221179\/29 - 214561. Is y > -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - 122. Suppose 8 = -r + s*q, 4*q + 4 - 24 = 0. Solve -r = -i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*(-195)\/(-234).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r. Let h(b) = b. Let f be h(7). Let k = -8 + f. Calculate j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10390*g**3*u**2 - 10*g**2*u**2 - 107317*u**2 wrt g?\nAnswer: 31170*g**2*u**2 - 20*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/2, -4, -7, -3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7714110 to the nearest 100000.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99.210010238 + -99.21. What is k rounded to 7 dps?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - 2*j - 9 = 0, -2*z = 2*j + 8. Sort z, -2, -1.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, g: 2}. What is prob of sequence sg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59\/4 of a millimeter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 0.031, -4, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (213*q - 213*q + 26*q**2)*(3*q**2 + 0*q**2 - q**2) to the form v*q + u + n*q**4 + s*q**3 + m*q**2 and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19394463, 38788926, 58183389, 77577852?\nAnswer: 96972315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - (-3 - 2)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 - 3*q**3 + q**3)*(-4*q + 6*q - q) + 16*q**4 - 11*q**4 + 20*q**4 to the form p*q + c*q**3 + o*q**4 + s + u*q**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 85*s - 426. Let u be o(5). Which is the fourth smallest value? (a) -4 (b) -5\/9 (c) u (d) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98663517 divided by 12567.\nAnswer: -7851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 17*t - 53. Let j(c) = 4*c - 13. Calculate 9*j(r) - 2*k(r).\nAnswer: -2*r**2 + 2*r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4550 and -5.\nAnswer: 22750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5513, 21966, 49371, 87716, 136989, 197178?\nAnswer: 268271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -31. Let g be (-2)\/(10\/(-15)) - 17. Let a = g - t. Let x(z) = z**3 + z**2 + z - 5. Give x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/268569913?\nAnswer: 3\/268569913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 35\/3 (c) 0.5 (d) -2 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -2\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91127 - 91123. Suppose -470\/3*a**2 + 400*a + 80\/3*a**3 - 5\/3*a**h - 375 = 0. Calculate a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4944?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 37 = 452*y - 224*y - 231*y + 3, 2*y + 0*l - 14 = -l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = -3*t, 5*t + 2*b + 281 = 300. Solve 2*o - l - t = 0, 19*l + 13 = 2*o + 20*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*k - 8. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:02 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-4))\/((-1)\/14). Suppose 5*a + 8 = b. List the prime factors of a\/4 + 6\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 3*-1)*5\/(-10). Sort r, 20, 0, -2 in descending order.\nAnswer: 20, 0, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*-5.02.\nAnswer: 7.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:27 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -365*y**2 + 29908 - 11*y**3 + 908*y**2 - 29908 as g + m*y**2 + x*y**3 + p*y and give m.\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 257 + 8. Let n be (k\/(-2))\/((-1)\/2). Let j(u) = -24*u**2 + n*u**2 - 34*u**2. Let b(q) = 3*q. Give j(b(v)).\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 9*b**2 + 2*b + 1. Let u(j) = -j**2 + 1. Calculate -3*u(o) + v(o).\nAnswer: -o**3 + 12*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -402*g**3 - 423*g**3 + 980*g**3 + (15*g - 8*g - 10*g - 2)*(g**2 - 24 + 24) as y*g**3 + w + l*g**2 + h*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let p = n + 0. Let c(t) = 2*t - 10. Let s be c(7). Solve p*q - s = 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 33950 = x, -4*x + 5*x = 3*h - 20370. Suppose 136 = 4*l - 3*b - 5324, -5*l - 5*b = -h. Let k = l - 781. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1321*t**2 + 1542 + 2653*t**2 - 1331*t**2 as v*t + g + h*t**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -425*y**7\/14 + y**6\/15 + 177*y**4\/4 - 1861*y. Find the third derivative of t(h) wrt h.\nAnswer: -76500*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:33 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*-4)\/sqrt(9) + 3 + sqrt(500))*-1.\nAnswer: -6*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*m = -23, k = 4*k + 2*m. Suppose -l - k + 5 = 0. Which is the second biggest value? (a) -3 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 3:17 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2*((-6)\/(-2) - -2). Let d be (-1)\/((-2)\/(-20)*o\/(-4)). Solve d*b + 3 = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 5*g = 38, -4*w = -5*g - 16. Is 57 a factor of (378\/w - 4)*6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 2) - (2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -35, 0.2 in decreasing order.\nAnswer: 0.2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3535 - -979197\/277. Let k(h) = 9*h + 55. Let m be k(-6). Is m less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*o - o. Let n = 487\/30 + -107\/6. What is the closest to o in n, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/2 - 6\/(-2). What is the second derivative of -72 + w*f**2 - 8*f + 4*f + 72 wrt f?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.069 + -8.169. Let n = b - -8. What is the biggest value in n, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - (1 + 8 - (-25 - -32))) + (3 - 11).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let m(z) = 99*z + 39. Let o(u) = 100*u + 40. Let b(c) = 4*m(c) - 5*o(c). Let x(k) = 7*k + 3. Let g(a) = 6*b(a) + 88*x(a). What is d(g(y))?\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 544*u - 549*u = 439, 3*h - 4*u = 331. Solve -69*d = -h*d - 224 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7aa199 (base 14) to base 5\nAnswer: -2032123244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 24379*a**2 + 24379*a**2 + a**3 + 19 - 53.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 3, e: 4, t: 3, h: 2, w: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21013, 21040, 21091, 21172, 21289?\nAnswer: 21448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000081296836 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 21*g - 232050. Suppose -13*c + g = 4*c. List the prime factors of c.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s**2 + 627*s - 1246. Give b(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901 is divided by 147.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-48)*3 - 39\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, v: 10, k: 2}. What is prob of sequence vvss?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3133303 (base 7) in base 4?\nAnswer: -1130110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 = 591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*y - y. Let s = y - 20. Let v(f) = -f**2 - 16*f - 8. Is v(s) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 579*k**2 - 1. Let a(w) = -19*w**2. Determine g(a(q)).\nAnswer: 209019*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:14 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*8\/((-24)\/1419) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 19*p**2 + 8*p + 3. Let z be a(-9). Let b be (2 + (-28)\/z)\/((-34)\/30). Let r = 32\/51 - b. What is the biggest value in -0.2, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(1100) + (-3*sqrt(1100) - sqrt(1100))*-5))**2.\nAnswer: 4365903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 18949*y + 2747598. Calculate j(-145).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -4, -3, -5 in descending order.\nAnswer: 7, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/5 (c) -16\/23 (d) -2 (e) -355 (f) -1\/4 (g) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.032? (a) 214.8 (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1336516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -15. What is the remainder when (-6)\/27 + 236\/9 is divided by o\/6*(-42)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 10. Let g(l) = 2*l**2 + l**2 - 22*l + 28*l + 3. Calculate the remainder when g(-4) is divided by o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 2208128.\nAnswer: 2208128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/((g*g**(-3\/5))\/g))\/g)*g*g)\/(g\/g**(1\/5))*(g*g*(g**(-6)*g*g*g)\/g*g)\/g**(-8))**(4\/11) assuming g is positive.\nAnswer: g**(172\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/240 + d**4\/4 - 8*d**2. Let b(z) be the second derivative of u(z). Let q(t) = 2*t. Determine q(b(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 15948*q - 127840.\nAnswer: 4*(q - 3995)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -305227 at least -305230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(-1 + (-2)\/(-4)). Let j = -62 - -57. Let d(z) = -2*z**3 - 4*z**2 - 3*z - 2. Let g(k) = -2*k**3 - 5*k**2 - 4*k - 3. Determine j*d(w) + m*g(w).\nAnswer: 2*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -283.862 and -0.7.\nAnswer: -284.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**4\/12 - h**3\/6 - h**2. Suppose 0 = -4*i - 8. What is the remainder when 7 is divided by s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 574899.2 + -6.\nAnswer: 574893.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 + -141. Let k = 129.6 - 124.2. What is the nearest to q in k, 1\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + l = -41, 2*l - 62 = -3*w + 4*l. Suppose 2*v = -0*z + 4*z + 16, 4*v - w = 2*z. Suppose -2*a = -0 - v. Solve 3*i = -a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 17*m - 4. Let y(r) = -76*r + 19. Let t(q) = 19*f(q) + 4*y(q). Let n(g) = -4*g**3 + g + 1. Let p be n(-1). Let s(z) = -z - 5*z + p*z. Give s(t(x)).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3790*i + 53049. Determine m(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4096*u + 5279*u + 7598*u - 24550*u.\nAnswer: -7577*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34, 188, 450, 820?\n\"Answer: 54*b**2 - 8*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = -4. Let r = o + 70. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/31 in -2, 5, 2\/5665?\nAnswer: 2\/5665","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 49*k**2 + 8425*k - 840. Give v(-172).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(1375\/66))\/((-15)\/925)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9579 + -9572. Let j(c) = -c**2 - 6*c - 5. Let q be j(-4). Solve q = -z + p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 157609*f*x + 2*x + 94099 wrt f?\nAnswer: 157609*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3710 = 8*d - 10778. List the prime factors of d.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3956352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -61.794?\nAnswer: -61.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g**2 - 14*g + 1047. Let z(n) = -26*n**2 + 43*n - 3143. Let p(k) = -7*l(k) - 2*z(k). What is the derivative of p(c) wrt c?\nAnswer: -22*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21412774 to the nearest integer?\nAnswer: 4627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 42, -2, 5 in descending order.\nAnswer: 42, 6, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (210\/49 - 4) + 94\/14. Let l(o) = -o**2 + 8*o - 10. Give l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 3:37 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-55)\/30)*(-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -220.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129148553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103550 is divided by 88?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-84)*12\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*k + 538*k = -2*d - 10, -4*k + 7*d = 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*sqrt(49)\/(sqrt(112)*-2))**2*-4.\nAnswer: -127\/16 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 15. Let p(t) = 31*t + 37*t + 7 - 69*t. Let g(r) = 5*p(r) - 2*u(r). Calculate g(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - z = -8, 0 = h + 2*z - 0*z - 6. Suppose -138 = 48*j - 71*j. Solve -j*i + 12 = -h*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2285 and 0.1371.\nAnswer: 313.2735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (52 + -26 - 30)\/(0 - 186\/(-9))\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0558495 - -7.0559215. Let y = 0 + 7. Let d = y - q. What is d rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -8. Let n be (60\/8)\/((-15)\/(-70)). Let w = n - 38. Put 5, y, w in increasing order.\nAnswer: y, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 20 - (-110 + 91)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*j - 2*j**2 + 0*j)*(-4 + 5 - 2) + 2*j - j**2 - 2*j)*(0 - 1 + 0) + 4*j**2 - 15 + 15 in the form s*j + r*j**2 + n and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 3*t**5\/10 + t**4\/4 + 5*t. Find the third derivative of q(u) wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4854585?\nAnswer: 3, 5, 37, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501 + 177 - 4*y**4 - 19*y**3 + 14*y**3 - 302 with respect to y.\nAnswer: -16*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60531 = -15*y + 112986. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18513 - 12588. Calculate the greatest common divisor of t and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168405 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**4 + 10*r**3 + 7*r**2 - 10*r - 2. Let f(h) = -h**4 - h**2 + 1. Let a(v) = 2*f(v) + o(v). Suppose a(n) = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Suppose 3*q - 2*q = -n*j + 43, 59 = 4*j + 3*q. What is the smallest common multiple of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*q - 39 - 75 + 126 = 0, -q = 5*j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = j - 533 - 108, -2*j + v = -1282. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4304659 meters in kilometers?\nAnswer: 0.0004304659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.3761121 rounded to 0 dps?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 1, 1\/6, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 7*q - 5. Let j = 4 + 0. Suppose -2*v - j*i = -5*v + 5, 0 = -2*v + 2*i. Let b(n) = n**2 - 6*n + 4. Determine v*b(u) - 4*c(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 - 1255\/7. Let x = -1076.7 + 1057.7. What is the second biggest value in 3\/5, x, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-16)*12\/15. Suppose 3*w + i = 7, -3*i - 17 = n*w + 2*i. Let u(h) = h**2 + 16. Let m be u(0). What is the greatest common factor of w and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4 and 44\/10777325.\nAnswer: 43109300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*f**2 - 1)*(-13*f**2 + 1142 - 1142) as u + x*f + d*f**3 + b*f**2 + g*f**4 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -a - 4*m, -12*a + 7*a - 3*m = -16. Solve 2*v + 12 = 6*t, -t - 6 = 5*v - a*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -50539.\nAnswer: 85\/50539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84168 - 84167 + 118*v - 169*v.\nAnswer: -51*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**2 - 4*o + 4. Suppose 45 - 24 = 21*u. Let r(t) = -t**2 - t + 1. Suppose 0 = -8*l - 8 - 24. Calculate l*r(p) + u*v(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.69 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)\/(i**(-15)*i) assuming i is positive.\nAnswer: i**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 - 21*a + 13. Determine n(-6).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*b**3 - 16*b + 30 - 19*b + 83*b**3 - 22 + 3*b**2 to q*b**2 + p*b**3 + o*b + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - r = 5, -4*r - 20 = -m - 0*r. Let l = -11 + 12. Let p(d) = -2 + 2 + 8 + l + d. What is p(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzri when four letters picked without replacement from {n: 1, z: 5, f: 4, i: 7, r: 1, k: 2}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 - 7*j**2\/4 - 47*j - 45.\nAnswer: (j - 18)*(j + 1)*(j + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0, 4, 45440, -11.\nAnswer: -11, 0, 4, 34, 45440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o**3 + 0*o**2 + 3*o**2 + 84*o**3 - 3*o**2.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 3*f - 5. Let x be t(-2). Solve 0*a + 0 + a**4 - 1\/2*a**x + 0*a**2 + 0*a**3 = 0 for a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6436*x**2 - 3535 wrt x?\nAnswer: -12872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:08 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z**3 - 34*z**2 + 2173*z - 34. Let d(b) = 7*b**3 + 12*b**2 - 724*b + 12. What is -17*d(l) - 6*k(l)?\nAnswer: l**3 - 730*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 469874 - 25853.\nAnswer: 444021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 6*u**2 + 9*u + 5. Determine j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7294c2 (base 15) in base 12?\nAnswer: -19a8b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*g - 796 + 1625 + 432*g - 825.\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Let t be (1 + -4 + (-54)\/(-24))\/(5\/(-20)). Solve -g = 5*n + t*g - m, 0 = -g + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.2998 + 10.3. What is a rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 25*q**7\/7 - 17*q**4\/6 - q**2\/2 - 175*q. What is the third derivative of x(s) wrt s?\nAnswer: 9000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*j + 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvikzbn. Give prob of sequence iz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 2\/3 (c) 21.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**6\/105 + 16*n**5\/7 - 3200*n**4\/21 - 147*n + 2. Let v(g) = 0. What is g?\nAnswer: 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*w - 2, -4*w = -5*x + 3 + 3. Let z be (x - 0)*(2 - 4). What are the prime factors of (-16)\/z + (-288)\/(-4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24798\/54 - (-5)\/((-135)\/6). Let i = 459 - a. Solve i = -6*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/10 + (-6)\/(-15). Let x be ((-3)\/(-2))\/(t\/(-64)). Suppose -3*l + 2*k + 8 = -0*l, -2*l = -5*k - 9. Solve l*q + x = -4*g, q - 7 = 5*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-22 + 21) - 37?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.2. Let v = 6.23 + -0.43. Let r = -6.1 + v. Sort -0.5, r, m, -1.\nAnswer: -1, -0.5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 978*o**3 + 1958*o**2 + 982*o + 2 = 0. Calculate o.\nAnswer: -1, -1\/489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 1364*t**4 - 22192*t**3 - 100512*t**2 - 864*t + 603072 = 0. Calculate t.\nAnswer: -6, 2, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/3, -1, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.7, -0.02, -3\/886?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*t + 15, -z + 11*t - 13 = 6*t. Let i(r) = r - 9. Determine i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4064 divided by 48\nAnswer: 254\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 24. Let k = 701204 + -701172.9943. Let c = k - z. What is c rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i**3 + 6*i**2 + 13*i + 39. Let c(u) = -9*u**3 + 7*u**2 + 15*u + 39. Let g(h) = 6*c(h) - 5*y(h). Calculate g(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 2*d**5 - 2*d**5 + (2 - 2*d**4 - 2)*(-d + 3*d + 0*d) - 112885*d**5 - 512 - 1988 + 112881*d**5.\nAnswer: -7*d**5 - 2500","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -9) + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13625.7 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -588 - -1184. Let k = h - 596.1. Which is bigger: k or -140?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 2*p + 2. Let j(q) = 16 + 16 + q - 33. Calculate -6*j(s) - 3*z(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 117406*r**2 + 2*r + 4. Let s be f(4). Let b = -1492278 - -513770. Let d = s + b. What is d rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 plus 30285?\nAnswer: 30531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924597 divided by -3.\nAnswer: 308199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)*(-18 + (-2605)\/(-145))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) - (sqrt(360) + sqrt(360) + sqrt(360)*-2 + sqrt(360)))\/((sqrt(60)\/sqrt(2))\/sqrt(6)) + (4 + sqrt(200) + 1)*-6*-4.\nAnswer: 120 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155880 and 144520.\nAnswer: 563194440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 17*q**3 + 21*q**3 - 6*q**3.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**8\/336 + u**7\/21 + u**6\/40 - 7*u**5\/15 - 5*u**4\/6 - 351*u**2. Solve k(l) = 0 for l.\nAnswer: -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + 38. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -o + 2, 0 = 4*o - 5*d + 6*d - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143293\/202296*21\/(-17).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.043, -4, 5, -2\/13, 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-2))\/((-515)\/412)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 1)*(-2)\/(-3). What are the prime factors of v*(-2 - 7\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/4 - c**3\/3 - c**2\/2 + c + 7. Let b(i) = -6*i**3 + 6*i**2 + 7*i - 5. What is b(n) + 5*u(n)?\nAnswer: -n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -47. Let p be 20 - ((4 - 0) + b). Is -4*(0 + (-124)\/p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + p + 13 = 25*d, 4*p = 8. Solve d*q = j - 11, 24 = -4*j - 0*q - 5*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-135)\/54*(-2)\/10. Let 0 + 1\/2*b**3 - r*b**2 + 0*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o + 5*z, -2 + 12 = -5*z. Suppose -o + 15 = 10*s. Solve s = 46*k - 47*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 2*l**2 + 2*l. Let k be s(-2). Suppose 33*m**k - 3*m**4 + m**4 + 64*m**2 + 100*m**3 - 3*m**4 - 48*m = 0. Calculate m.\nAnswer: -2, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -353*p + 354*p - 406. What is the greatest common divisor of 42 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.65198 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35\/10)\/1)\/(4\/(72\/(-3)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.018, -0.5, -3, -4, 2\/27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/7 - 36*b**2\/7 - 64*b\/7 - 30\/7 = 0. Calculate b.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m - 3. Let o be j(-3). Suppose -4*h + 8 + 4 = 0. Suppose -s + h = 0, 4*g - o*s - 271 = -g. What is the greatest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28 + 27 + 6*w**2 - 84 + 7*w**3 + 22 + 40*w wrt w?\nAnswer: 42*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-83 + -4 - -5). Suppose 0 = 2*i - c - 3*c + o, 4*c = -5*i - 153. Which is smaller: i or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -11, -366, 43, -5 in decreasing order.\nAnswer: 43, -5, -11, -36, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166964 and 812036?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Let m(t) = 0*t**2 + t**3 + t - 6*t - t**2 + 3*t - 1. What are the prime factors of m(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -12565.68, 0.3 in decreasing order.\nAnswer: 0.3, 0, -0.4, -12565.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -31, -0.2, 0.278, 41, -0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdhppkph. What is prob of picking 1 p and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2. Let b(k) = -66*k + 60. Let t(f) = -13*f + 11. Let h(p) = 2*b(p) - 11*t(p). Determine q(h(z)).\nAnswer: -121*z**2 + 22*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2887.986776 - 2888. Round g to 4 dps.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.81238158 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 70. Suppose -16*q + f*q = 162. Is 35 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 35.814. Round k to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 12 = 3*q. Let t = q - -143. List the prime factors of t.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:31 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-10)\/(-4))*(-61)\/(244\/248280).\nAnswer: 2, 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -668, -1007, -1346, -1685?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)\/((-2)\/(-30)). Let h be ((-1)\/1)\/(2\/(-6)). Suppose 3*t - t = -j + 5, -w = -h*j + 4*t. Solve -b = 4*b - j*s - 5, -4*b - 4*s = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057794533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6185 + -6185. Solve v = 30*q + 98 + 82 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17, 4, 1 in ascending order.\nAnswer: -3, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7985 + 0.2015. What is the closest to -1\/2 in -10, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -11*y**2 + 81*y**3 - 6*y**2 - 82*y**3 - 2*y**3 - y**3 + y**3 + (-6*y**3 + 0*y**3 + 4*y**3)*(4 + 2 - 5) - 2*y**3 - 4*y + 4*y.\nAnswer: -7*y**3 - 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -12*r**3 + 4732*r**2 - 461020*r + 308. Let m(q) = -4*q**3 + 1577*q**2 - 153673*q + 99. Let b(u) = -28*m(u) + 9*p(u). Let b(y) = 0. What is y?\nAnswer: 0, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1294553229\/15535 + 416657\/5. Let f = j + -258161\/62140. Calculate the common denominator of 139\/54 and f.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1909, 23 in increasing order.\nAnswer: 1, 23, 1909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4496790 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 34 + 30 - 78 + 10 - y. Let s(b) = b. Calculate -j(q) + 2*s(q).\nAnswer: 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11728 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2 + t. Let f = 6 + -4. Suppose -7*u - 10 = -f*u. Let d(n) = 2*n**2. Let l(c) = u*b(c) + 9*d(c). What is the second derivative of l(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*f - 139 = 2*u, 4*f - 144 = 4*u. Let a = u + 64. Let d = a - 15. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 140*w - 58. What are the prime factors of z(3)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20762 and 9599459.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-609 - (-25)\/(-5)). What is y rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*l + 8, 33 = -4*l + 13. Let u = m - -10. Suppose -2*k + u = -0*k. Solve -6 = 4*c - k*y, 3 = -0*c + c + 4*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 32*n**2 - 4*n + 2. Let q be r(1). Suppose -q = -4*y + 142. Suppose 0 = -8*z + 139 - y. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189708917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 17516.\nAnswer: 87580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbsq when four letters picked without replacement from sbqqqsrqqt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -21*x**5\/10 + 31*x**3\/3 - 2*x + 23. What is the second derivative of u(d) wrt d?\nAnswer: -252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {d: 3, m: 2, j: 5, g: 5, l: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 6. Give l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/119)\/(((-8)\/(-7))\/(-4))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + s + 91, s - 54 = 2*w + 3*s. Let d be (-2)\/(-9) - w\/18. Suppose 0 = -3*t + d*t + 1, -2*n = 5*t - 5. Is 4\/11 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 13787\/153 - (-3)\/(-27).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752688957.\nAnswer: 1752688957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2569 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**2 - 2 - 3317*i + 34*i**2 + 3288*i + 3.\nAnswer: 74*i**2 - 29*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8129.923kg?\nAnswer: 8129923000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1700)*-3 - (-4 + sqrt(68)\/(sqrt(4)*2)).\nAnswer: 4 + 59*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -3. Let t = -16.053 - 2.167. Let b = z + t. What is b rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111.3 - 114.3. Put o, 4, -0.7, 1 in ascending order.\nAnswer: o, -0.7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 7. What is the remainder when u(-3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 6\/(-4)*-1*18. What is the highest common factor of 18 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4 + 3 + 2*w**2 + 1. Let m(h) = h + 8*h + h + 7*h - 7*h. Determine b(m(s)).\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*m + 25. Suppose 27 = m*d + 7. Suppose -5*l + 0 = -w + d, 4*w - 37 = -l. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19124, 38247, 57360, 76457, 95532, 114579, 133592?\n\"Answer: -s**3 + s**2 + 19127*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*u**2 + 1235*u - 27*u**2 - 252 - 3*u**3 + 250 to t*u**2 + d*u + o*u**3 + j and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1206*r**2 + 14*r - 17. Let m be f(2). Suppose -5*l = -250 - m. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let g(a) = -1278189*a. What is g(q(i))?\nAnswer: 2556378*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 871461 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27159514 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -29.91. Let t = u - -0.91. Let w = 13.911 - -0.089. Is t smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 25*a**2 - 23*a + 20. Determine p(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 276560 = 276559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -73428 at most -73704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(396))*5)\/(sqrt(400) + 1*sqrt(400) + sqrt(400)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -69, -4, 43, 13, -8, 3 in ascending order.\nAnswer: -69, -8, -4, 2, 3, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 6*y**2 + 11*y - 10. Let q be f(4). Let m = q + -60. Let h be (14\/(-476))\/(m\/(-4)). Are h and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t**2 - t. Let j be i(2). Let v(s) = -2*s**2 + 34*s - 22. Let f be v(j). What is f rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/27, -1376, -7, 2\/7?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.25, 2\/19, 0.11458, -2\/15.\nAnswer: -1.25, -2\/15, 2\/19, 0.11458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by -4\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55475440?\nAnswer: 2, 5, 19, 36497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22974.\nAnswer: 2, 3, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**3\/3 - 29*z + 2. Let t(w) = -2*w**2 + 43. Calculate t(x(r)).\nAnswer: -8*r**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 108 = -5*v, 2*v + 4*i = 4*v - 56. Let a = 98 - v. Let b = -24034 + 24229. What is the greatest common factor of b and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/1)\/60)\/(15\/60)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -65, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -22*y + 7. Calculate k(5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*g - 10 - 29 - 63 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -0.0102263115882.\nAnswer: 0.0897736884118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*n - 144*n = 210. What is the remainder when 204 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**3 + 3*m**2 - 2*m - 4. Let d(f) = 11*f**3 + 8*f**2 - 5*f - 12. Let p(x) = 8*a(x) - 3*d(x). Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 9*v**2 + 4*v + 6. Let x be q(-9). Let n(z) = -17*z. Let f be n(1). Let s = f - x. What is the remainder when 38 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12609 - 6827*f - 25212 + 12603.\nAnswer: -6827*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**2*p**(-2\/21)\/p**(1\/9) assuming p is positive.\nAnswer: p**(187\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqiiuuuvhuhqhh. What is prob of picking 1 h, 2 q, and 1 i?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02237 take away 85.82?\nAnswer: -85.79763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 9 - 6. Suppose -2*i + g = 1. Solve 0 = 2*k - 8 - i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(468) - (2*sqrt(468) - sqrt(468))) + 5)**2 + (1 + 2 + 3*sqrt(468))**2 + 4.\nAnswer: 108*sqrt(13) + 4250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40866797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-3)\/9)\/((-10)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 3834. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21945 divided by 5.\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1555772 and 1002.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from vggvvgvvvvagvv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441046509.\nAnswer: 7, 205863787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 37. Let g(w) = -w + 3. Let b = -2 + 2. Let j be g(b). Solve -4*n + j = 3*r, 0*r + f = 2*r - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4782 is divided by 175.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*b + 13, -t = -b - 22 - 6. Calculate the highest common factor of t and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*z + 279 = 0, -3*x + 0*z - 3*z + 309 = 0. What is the highest common factor of 259 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-15))\/((-90)\/525*112\/(-48))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 48. Which is the smallest value? (a) -2\/5 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/1)\/((-22)\/(-165)). Let r = -20 + k. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o - 39*o = -199*o + 65*o + 1225 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67 and 371759.\nAnswer: -24907853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 26*p**2 + 26*p + 54. Give u(-25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (0 - -3)\/3. Suppose 0*h**3 + 5*h**k - 5*h**2 + h**3 - h**4 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 2. Suppose 10*u - 49 = -49. Find the third derivative of 4*q**4 + u*q**m + 14*q**2 + q**4 - 13*q**2 wrt q.\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 4. Let x(p) = 16*p - 20. What is -11*o(z) + 2*x(z)?\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 168\/30 - (-46)\/(-985). Let n = l + 21841\/7880. What is the common denominator of -29\/4 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 314809*k**2 - 102*k + 100. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 0*m**2 + 67*m**3 + 67\/4*m**4 + 124 + 0*m. Find the third derivative of u(y) wrt y.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - a**2 - 5*a**4 + (2*a + 0*a + 0*a)*(-a + a + 4*a**3) - a + a + 3*a**4.\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/140 and 23\/176.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 4473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2690 - -1?\nAnswer: -2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*i + 93975 = 658*i + 702*i + 357*i for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -739364 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h**(-3\/13))\/h*h)*h*h**(1\/12))\/(h**(-9)\/(h\/(h*h\/(h**4\/h*h)))))**(12\/5))**28 assuming h is positive.\nAnswer: h**(58156\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - w + 5. Let h be i(-5). Suppose 0 = -t + 6*t. Suppose t = 4*c - 9*c - 5*b + h, c - 50 = b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 - l + 3. Let r = 14 + -14. Let m be i(r). Suppose -m*j + 2*j + 70 = 2*x, 4*x = 4*j + 116. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5539 is divided by 476.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.5 - -0.5. Let n = z + -26.96. Which is the second smallest value? (a) 4 (b) n (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -1 + 5*d**2 - 2 - 3 + 2 + 8*d = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + bb85?\nAnswer: bb78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21920\/7672*(-14)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/1)\/((-2)\/(-3)). Let v(q) = -26 - 2*q + 2*q**2 + 18 + 18*q - 7*q. What is the remainder when v(a) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 6858.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 4}. Give prob of sequence ttt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3404738a + -3?\nAnswer: -34047392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3*r = -2*h + 29, 0 = -5*r - 2*h - 21. Let n be ((-60)\/(-8))\/r*8\/(-3). Suppose -u = -4*p - 22 - n, 5*u = 5*p + 100. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 2\/7, -2\/9, -0.01, 0.0081, -0.4?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5182 or -45\/316?\nAnswer: -3\/5182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 0 + 6)*1. Let b(z) = -4*z**3 - 7*z - 2. Let n(v) = -5*v**3 + v**2 - 8*v - 2. Let p(i) = j*b(i) - 3*n(i). Is p(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**3\/b*b)\/b))**(1\/24))**(-23) assuming b is positive.\nAnswer: b**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 8*s = -77. Calculate the highest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101 (base 2) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from lddlsvd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22333 + 1001011301?\nAnswer: 1001100300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let o(f) be the first derivative of 11*f**2 + 12. Determine o(s(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273.49 + 5.51. Let h = d + -281. Let m = 171\/4 - 43. Which is the closest to m? (a) 8 (b) -2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6673255413+-2.217\nAnswer: -6673255415.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*p**3 + 2*p**3 - 6*p + 15*p wrt p.\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - i - 59 = -60, 4*l + 5 = 5*i. Solve -5*n - t + 14 + 15 = l, -6 = -2*n + t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*g - 174 = 0, 2*g - 64 = 2*b + 14. Let q = b + 52. Let z(o) = o + 9. What is the remainder when q is divided by z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 873 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 438451 > 0.0563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t - 135. Let w be p(-23). Solve 0 = -28*i + 41*i - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 132907595 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w. Let l(h) = h + 9. Let z(t) = -t - 4. Let v(c) = 4*l(c) + 9*z(c). What is v(q(x))?\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11282*c**2 + 662 - 662 as g + d*c**2 + j*c and give d.\nAnswer: -11282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 100, 153, 222, 313, 432, 585, 778?\n\"Answer: g**3 - g**2 + 39*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 + 6*v + 1. Suppose q - 4*q + 12 = 0. Suppose 0*l - 32 = -q*l. Is d(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 2. Let f(l) = 1. Let u(x) = b(x) + 3*f(x). Let m(q) = q + 2. Let a(y) = -m(y) + 2*u(y). Let r(w) = -1. Determine 2*a(n) + r(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/110 and -97\/8.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 4*b - 1. Let k(v) = -v**2 + 12*v - 30. Let y be k(7). Let j be g(y). Let h be (-7)\/6 - j\/12. What is the nearest to -2\/7 in -5, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12) + 1079\/498?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 + 87856*p + 9648345920.\nAnswer: (p + 219640)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 75231 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/100500 and -19\/3350?\nAnswer: 100500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233903\/18 + -12988. Let y = 10939\/10568628 - 1\/9868. Let j = y - 43919\/8568. Calculate the common denominator of j and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 11\/(-4) - -1. Let v = 1509 + -2856. Let h = 1347 + v. Which is the closest to h? (a) 0.3 (b) 3\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 11 - 46*w + 0*w - 39*w + 2.\nAnswer: -85*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4*2)*149\/(1937\/1092)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/34255307 and 11\/102765921?\nAnswer: 102765921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10 - 12*q - 14 + 12 - 37 - 25. Calculate the remainder when 22 is divided by m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-190)\/(-105) - (-14)\/(-21). Determine w so that 12\/7*w + v + 4\/7*w**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + w = 6*w + 9, -5*k + 3*w = 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*v + 84*v - 184*v to the form h*v + l and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 + 754?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 take away -0.492538996358?\nAnswer: 263.492538996358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 4*i)*(4*i**4 - 4*i**4 + 2*i**4)*(-3 - 1 + 3)*(-1 - 2 - 1) + (-1 + 3 + 0)*(-i**2 - 3*i**5 + i**2) + 0 + 0 + i**5.\nAnswer: -29*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 11*h - 32. Suppose -h*f = -109 - 619. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-70)*(8384\/(-256))\/(-131).\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/((l*l**10)\/l*l)*l)\/l)\/l*l*l**4)\/((l\/l**11)\/(l\/l**(6\/13))))**(-5) assuming l is positive.\nAnswer: l**(-360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26bc8ca (base 13) in base 5?\nAnswer: -11112122204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 - 121*h**3 + 13*h**3 + (4*h - h - h)*(2*h + 4*h**2 - 2*h) + h**2 - h**2 + 2*h**3 in the form i*h + a*h**3 + t*h**2 + j and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 5. Let t be y(-8). Let w(o) = -o**3 - 2*o + 1. What are the prime factors of w(t)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 2 - g**2 + 3*g**2 - g**2 + (1 - 1 + 5*g)*(-5*g**2 + 2*g**2 + 2*g**2).\nAnswer: -6*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-3)\/(-72)*9\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:01 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, s: 7}. What is prob of sequence xs?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 3*i)*(-i + i + 2*i**3)*(-6*i + 16*i - 9*i).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a factor of 197425266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 4*c - 2*c - 7*c - 7. Let t(i) = 5*i + 4. Determine 4*b(j) + 7*t(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**4 - w**3 - w + 2*w**2 + 10*w**4 + 2 - w**4 - w in the form c + t*w**3 + x*w**4 + j*w + m*w**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 d when three letters picked without replacement from pppinpnmpmppidpdlmip.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26481931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 339*x + 338*x - 17 = 0, 0 = 2*c + 3*x + 51 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 8074*r**2 - r + 7104*r**2 - 2*r**4 to o*r**4 + u + q*r**3 + a*r + t*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*y + 10, 2*y + y = 15. Suppose -2*a + 18 = r, -4*r + r = 0. Let d = a + 2. What is the remainder when d is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 4\/1 - 2. Suppose 4*b - r = 4. Let k be (b\/8)\/(1\/8). Solve -k*d + i = 14, i + 6 = -3*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + 602*i + i**3 - i**3 - 2*i**3 + 4 - 40*i as z*i**3 + o + v*i**2 + r*i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x**2 - 11*x - 35. What is the tens digit of w(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/60 - g**5\/30 - g**4\/8 - g**3\/6 - g**2. Let h be y(-2). Is 12 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 11678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -h + 5*p, -4*p = -3*h - 2*p + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 4*m**2 + 14*m + 8. Let y be u(-7). Calculate the greatest common divisor of y and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azqaaaaatraktztrz. Give prob of sequence zkt.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.944 (b) -2 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21637, -21634, -21631?\n\"Answer: 3*s - 21640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7240527 and 2045.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1877 (base 10) to base 9.\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -412876139701?\nAnswer: -412876139701.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n - 26*n**2 + 48*n**2 - 19*n**2. Let l(m) = 2*m. What is l(d(g))?\nAnswer: 6*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 - 2*i + 2. Let o be m(2). Let f be (-13 + o)*2\/(-3). Solve y - 5 = -0*w + f*w, 3*w = 5*y - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87151612 or 87151615?\nAnswer: 87151615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/9 - 6221*p**2\/9 - 58324*p\/3 = 0. What is p?\nAnswer: -28, 0, 6249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1742*q + 9*q**3 - 13*q**3 + 1754*q.\nAnswer: -4*q**3 + 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*w - 37, -4*s + 6 = w - 11. Suppose 0 = -s*g - 5*y + 65, -2*g - 76 = -6*g + 4*y. Calculate the smallest common multiple of g and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {n: 2, q: 1, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + k + 149, 3*f = -197*k + 198*k + 113. Calculate the remainder when 0 + -2 + 70 + 0 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1417328 divided by -22\nAnswer: -64424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-6) - 60\/27. Let s = -11 - -17. Let t = 5.8 - s. Sort z, t, 3\/2.\nAnswer: z, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/20)\/((-14)\/140*-12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiimoomiamiaiimiiioi. What is prob of picking 2 a?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(240) - sqrt(60) - sqrt(60))\/sqrt(5) + 1*sqrt(1200))\/(sqrt(576) + -4*2*sqrt(576) - (-1*sqrt(576) + sqrt(576))*5))**2.\nAnswer: -10*sqrt(3)\/21 + 2377\/588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 - 3*d**3 + 3*d**3 + (5*d**3 - 2*d**3 + 9*d**2 - 5*d**3)*(-d - d + d)*(-1 + 1 - 3*d).\nAnswer: -9*d**5 + 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294508 is divided by 660.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589010?\nAnswer: 2, 5, 58901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1785)\/612*3*4\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32c5 - 5?\nAnswer: -32ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -7. Let p(q) = -q**3 - 2*q**2 + 2*q - 1. Let f be p(x). What is the units digit of (0 - f) + (5 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o = 35*o + 5. Calculate the highest common factor of 13 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48004206*c**3*h**3*n**3 + c**3*h**3*n - 161*c**3*h**2 + 2*c**3 - 44*c**2*h**2*n**3 - c**2*h**2*n**2 + 77*c*h**2*n**3 wrt h.\nAnswer: 288025236*c**3*n**3 + 6*c**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 31*f = -29*f - 1, -3*z = -3*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:59 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -161 divided by 161\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Let z = -2 + p. Let t = 1397 - 1397.1. Which is the closest to t? (a) 4 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9870 - -9870.1. What is the closest to 3 in -23, 2, v, 0.27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212022 + 2121001201?\nAnswer: 2100012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 j when three letters picked without replacement from hfjhoojffhh.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9243909 (base 10) in base 7?\nAnswer: -141400113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 210055 - -2663?\nAnswer: 212718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n**3 - 3*n**2 + 3*n + 2. Let y be g(2). Let v = y - 71. Calculate the remainder when v is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23 - 26)\/(3 - 1*(-398)\/(-132)). Solve -206*l + y*l + 8 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25266691.8us in weeks?\nAnswer: 0.0000417769375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -x, 0*x - x = 5*v - 14. Let j = 3 - x. Suppose j*s - 8 - 4 = 0, 0 = -5*q + s + 2. Solve 2*o + q = 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 6:00 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t + 2244 = 59*t. What are the prime factors of t?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a + 6. Let x be j(-1). Suppose 4*c = x*v - 54, -91 = -4*v + c + 52. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57537 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 30018 - 44078 = 13634. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23896169.\nAnswer: 11, 17, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.309736 - -848.912464. Let r = l + -856. What is r rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r. Let u(d) = -3548*d**2. What is n(u(t))?\nAnswer: -10644*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -808.467 + -12?\nAnswer: -820.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/7)\/s*s)\/(s**(4\/19)\/s*s) assuming s is positive.\nAnswer: s**(-85\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 - 4*o + 49. Let y(n) = 5*n**2 + 5*n - 49. Let c(s) = 4*b(s) + 3*y(s). Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2*l + 2*l + 2*l) + (-l + 0*l + 5*l)*(-1 - 2 - 10)*(3 + 3 - 4).\nAnswer: -106*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -987800 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11*c - 14*c + 2)*(-4 + 0 + 2) - 2*c - 2*c + 6*c + (0*c + 2*c - 4*c)*(1 + 1 - 5).\nAnswer: 14*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365819871*k**2 + 3027823*k wrt k?\nAnswer: -731639742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 93*n**2 - 2196*n - 7232.\nAnswer: (n - 113)*(n + 4)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87377 is divided by 115?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 264599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*q**2 + 38*q**2 + 27*q**2 + 33*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-3\/4)*(u**(1\/4))**39 assuming u is positive.\nAnswer: u**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23938074 by 3989679.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 4, 85, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317743248 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - (-20)\/(-12). Let a = w + 2. Suppose a*l - 3*l + 9 = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*-3346.\nAnswer: 836.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4710.468 months in decades?\nAnswer: 39.2539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12307\/61565 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604989 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -1686 = 94409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/13 + 70*x**2\/13 + 644*x\/13 + 576\/13.\nAnswer: 2*(x + 1)*(x + 16)*(x + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 9 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 + 9*j**3\/2 + 3*j**2. Is l(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsenegelsgbgs. What is prob of picking 3 g and 1 l?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 65. Which is the closest to 1? (a) 1\/5 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520\/13 smaller than 577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293699 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295616792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + l + 24 = 15, 5*y = -5*l - 35. What is the closest to y in 2\/9, 4, -5.9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 3*v - 1650. Calculate m(-42).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 + (4 - 2)\/(20 + -21) and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 5:27 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(8)\/sqrt(2))\/(sqrt(128)*1).\nAnswer: -5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 0)*(-4)\/(-12). Suppose -y*x - 9 = -3*h, 2*h + 2*h - 15 = x. Suppose h*t + 0*t = 0. Which is greater: -1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 = -2. Solve 0*x + k = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 5, v: 7, i: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1, 2\/15, 2\/25, 0.017?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 9}. Give prob of sequence jjj.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = -44*k - 21*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-34.7.\nAnswer: -173.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0, -2\/17, 4 in descending order.\nAnswer: 4, 2\/13, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1) - -3*2. Let t(n) = 3*n - 54. Let q be t(19). Let x = -7 - -10. Solve -x*p = -w*p + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140912756*a**3 - 26*a - 649240?\nAnswer: -845476536*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*j**4 + 8*j + 803?\nAnswer: 116*j**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -1, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 35*g = -1530. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 24. Let s be (-85)\/b - 2\/(-6). Let z be (-20)\/(-8) + s\/4. Solve h = z*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 3*m**2 + (4*m - m + 2*m)*(0*m + 0*m + m))*(-1 + 1 + 2*m)*(-4 + 0 + 6).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (36496\/(-12) - 1)\/((-3)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130068854.52 - -0.5\nAnswer: 130068855.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -985*t. Let m(n) = 208*n**2 - 110*n**2 - 94*n**2. Give m(l(u)).\nAnswer: 3880900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83.7 - 88. Let o = 565777708.70000017 + -565777713. Let c = o - u. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -35*b**4 + 640*b**3 - 180*b**2 = 0.\nAnswer: 0, 2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.44 - -1.3. Let x = 18.759 + y. What is x rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 5*r - 546. Let g be r\/21 + 4\/(-6) + 460. Suppose -5*i - g = -3*a, 5*a - 7*i - 797 = -5*i. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 109.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22335 + 22339. What is the nearest to l in 15, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -36, -56, -78, -102?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3402\/972)\/(6\/4).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.67044 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -1634?\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34444\/25833*(50\/16 + 1)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.208 + 0.228. Let s = y - 0.0200285. Round s to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20393309 to the nearest integer?\nAnswer: 4516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18010731 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -427 + 426.6. What is the third smallest value in z, -0.1, 2\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3059? (a) -5\/2 (b) 1.8 (c) 0.8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*f**3 + f**2 - 28 + 3*f**4 - 556*f + 552*f - 43*f**3 + 27 - f**4 as b + k*f**3 + z*f + r*f**2 + a*f**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 13. Let n = 581 - 592. Calculate f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 688\/5 - 138. Put -0.1, -154, w in increasing order.\nAnswer: -154, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/15)\/(4\/(-10)). Suppose 4*i + l - 82 = -0*l, 4*i - 84 = -u*l. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4237804, -4237791, -4237778, -4237765, -4237752?\n\"Answer: 13*b - 4237817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -2*c**5\/5 - 5*c**2 - 2*c. Differentiate s(p) with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-4 + (7 - (3 + -6)) + -167 + 144)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68904288 and 864.\nAnswer: 206712864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzovnzn. What is prob of sequence onz?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209 and 190.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 133*y - 1379. Determine l(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**40\/n)\/n*n)**(-31)\/((n\/(n\/n**(-9)))\/(n*n*n*n\/(n**(-13)\/n))) assuming n is positive.\nAnswer: n**(-1244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.56803nm in kilometers?\nAnswer: 0.00000000008356803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -2 + 11 + -24\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 10*k + 2*k**2 - 2*k - 8*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.444, 1?\nAnswer: 0.444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2\/5 + 306*w\/5 - 7803\/5 = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 2*n**2 - 2*n. Let g be a(-2). Suppose -g*h - 15 = h. Let c(l) = -l**3 - 2*l**2 + 4*l + 4. What is c(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3 = 50*s + 23*s - 75*s, 4*s = -h - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -7117.\nAnswer: 7117.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/210 - 39*v**6\/40 + 111*v**5\/20 + 1021*v**4\/24 + 95*v**3 + 17*v**2 + 2*v + 6. Factor y(s).\nAnswer: (s - 114)*(s - 5)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/77 and -21\/143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 11*d - 59. Suppose 0 = -d*u - w + 344, 13*u - 2*w = 17*u - 348. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)*6\/18. Let o be 2\/((-4 - f)\/(-8)). Solve -2*l = -o*d, -l = 2*l + 4*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -4460.2?\nAnswer: -446.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*t - 180. Let a = 18 - t. Let f(n) = -7*n. Let w be f(a). Which is greater: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 - 6*q - 8. Let g be n(3). Let r(m) = -8 - 11 - 2*m + 9. What is r(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u**2 + 87*u - 87*u)*(18*u - 8*u + 18*u) + 3*u**2 - 3*u**2 - 2*u**3.\nAnswer: 446*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053265 (base 8) in base 14?\nAnswer: 170993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(5 - 3) + 222. Suppose -s = 4*s - 120. Calculate the highest common divisor of a and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 9380?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 239469632 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15790 + 37710 = -2*p. Round p to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 13472*y**2 + 1. Let d(a) = 2*a. Determine d(m(n)).\nAnswer: 26944*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z - 15. Let x = 21 - z. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*j - 123 - 294 - 23 = 24*r - 898*j, -r = 4*j + 34 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-15))\/(2\/((-60)\/(-27))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 723 + -176. Suppose -2*z = -g + 4*g - w, 189 = g - z. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-15)*18\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0.2, 0.1, -1\/18, 0 in ascending order.\nAnswer: -3, -1\/18, 0, 0.1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 40 = -35. Let x = d - 18. Let t(p) = p**2 - 3*p + 6. Is t(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193.5314582 - -2.4685878. Let d = -196 + w. What is d rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {m: 1, q: 2, j: 1, b: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/15 (b) -7\/4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2238\/9765 + 0 + 2. Let d = 6\/155 - i. Calculate the common denominator of 73\/27 and d.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -79484066, -317936238, -715356516, -1271744894, -1987101366?\n\"Answer: k**3 - 79484059*k**2 - 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 16, 6 in ascending order.\nAnswer: 1, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.6 times -0.4?\nAnswer: -188.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = p - r, 3*p - 419 = 2*p - 2*r. List the prime factors of p.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24710368*-6.\nAnswer: -148262208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*v + 132 = 0, 3*v = 2*r - v - 64. Calculate the highest common divisor of 51 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 21. Let n = 11 - p. Let b(y) = -n - 4*y + 3 + 2 + y. What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112344844 and 0.5?\nAnswer: 56172422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6184 - 5257. Calculate the greatest common divisor of n and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:32 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9022094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*a = -73*a + 76 - 37 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(16\/9)*i*i))\/(i*i\/(i**(-42)\/i)*i) assuming i is positive.\nAnswer: i**(-439\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*t = -t + 2, 0 = 2*t. Suppose -3 = q*z - 21. Calculate the highest common factor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9377, -8196, -7015, -5834, -4653, -3472?\n\"Answer: 1181*o - 10558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 + 32*g**2 - 8*g + 14. Let o(h) = 2*h**3 + 21*h**2 - 5*h + 9. Let n(l) = 5*d(l) - 8*o(l). Let i be n(-8). Put i, 5, 4 in descending order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 2*q - 20*q + 4*q + 12*q. Let w(m) = 2137*m + 1. Calculate w(p(b)).\nAnswer: 4274*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-nine halves of a decade?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3919 and 3.\nAnswer: -1.1757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001965804091 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2 + -1)*0. Suppose 2*z + 6 = -r + 5*r, 4*z + 2 = 3*r. Let m be (-4 - -2) + (r - -10). Solve l*a + 5*a = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1420 = -280. Suppose -g*p + 218*p = -160. Solve -13*y - p = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1 - sqrt(7)) + -1 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 865443*t**3 + 815684*t**2 + 2*t.\nAnswer: 5192658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -27*l. Let y(i) = -25*i**2 + 11*i + 11. Let x = -61 - -57. Let v(m) = -9*m**2 + 4*m + 4. Let f(k) = x*y(k) + 11*v(k). Determine u(f(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14367475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most 1102\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 1394 - 1543. Let u = 2064 + w. Let c = -625 + u. Round c to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let h(i) = -7*i - 1. Let v(g) be the third derivative of g**4\/3 + g**3\/6 + 5*g**2 - 2*g. Let r(y) = -7*h(y) - 6*v(y). Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 13 + -44 + 25 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 718452 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123 + -30?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - 0.05. Which is smaller: y or 25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 24. What is the lowest common multiple of 10 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.52 + 0.37. Let a = r - -6.31. What is a rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-32)))\/(s\/(s\/(s*s\/s**(-13\/2)*s*s*s))))**28 assuming s is positive.\nAnswer: s**(-1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(51)\/(sqrt(3)*2) - sqrt(17))) + 3 + -3.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:06 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 18485497*l**2\/4 - 10678551134625*l\/2 + 5339274411969\/4.\nAnswer: -(l - 2310687)**2*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 + 4*u - 36. Give r(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 32 = 18. Suppose -4*n + g + b = 0, 28 = 2*n - 5*g - 7. Suppose -w - 9 = -n*f, 3*f = -3*w - 2*w + 39. Solve h = z + 7, h = -3*z - 3 - w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 + 3*t**3 + 5 - 2 + 3*t to the form w*t**2 + q*t**3 + v*t + r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.52 and -57.\nAnswer: -59.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -444, -443, -442, -441, -440?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42077966 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 59*p + 2743 = 943. Solve 5*j = p, -5*w - 3*j = -10 - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**5 + 2295*c**4 - 11375*c**3 + 11325*c**2 + 11380*c - 13620 = 0.\nAnswer: -1, 1, 2, 3, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 987\/4100 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142242032 (base 6) to base 4.\nAnswer: -23013121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17104\/1995 at most -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 19 - 22045*u + 66137*u - 22044*u + 19 - 22045*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -297*o**4 + 1482*o**3 + 609*o**2 - 7122*o - 72 = 0. Calculate o.\nAnswer: -2, -1\/99, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -121. Let j be (-3 - (-316)\/q)\/((-1)\/2). Which is the third biggest value? (a) -0.5 (b) 1\/6 (c) j (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l - l)*(404 - 596 - 19 - 951 - 898) in the form x + d*l and give d.\nAnswer: 2060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879.4804 nanograms to kilograms.\nAnswer: 0.0000000008794804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -73767530 to the nearest 10000.\nAnswer: -73770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -964, -1641, -2316, -2989, -3660, -4329, -4996?\nAnswer: -5661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20328 and 17424?\nAnswer: 121968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4799*i + 657*i - 3160*i - 1299*i to t + h*i and give h.\nAnswer: -8601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/21)\/((-103)\/(-18)). Let n be 24\/6 + 1 + (-10)\/(-5) + -8. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1. Let b(q) = 3*q**2 + 11. What is -4*b(a) + 44*z(a)?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154.5 - -65. Let j = 90 + l. Let q = 0.8 - 1. What is the biggest value in j, q, -3\/4, -1\/12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Suppose r + d = 6*r. Put r, 0, 3 in decreasing order.\nAnswer: 3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*((-20)\/44)\/((-42)\/231).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/9 + 920*w**3\/9 - 57892*w**2 + 7947768*w - 342813054 = 0. What is w?\nAnswer: -829, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 76 = 2*l - 2*p, 2*p = 5*l + 187. Let q = -1 - l. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 334588.1686 to the nearest one thousand.\nAnswer: 335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from qgqqqpqgpp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 - (-6 + 11 + -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4445 is divided by 554.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*v = -326, -4*v + 324 = -2*c + v. Let t = c + 304. Suppose -y = -2*m - 49, 2*m = -2*y + t - 15. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3566\/11 + 147473\/462. Let l = o + 36\/7. Suppose 10 = 5*y - 5*z, 0 = -5*y - 5*z + z - 17. Is y at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35356 divided by -4\nAnswer: -8839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 97*a + 164. Calculate g(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -72*l**5 + 483504*l**4 + 1773982*l**3 - 1114606*l**2 - 5026390*l + 3883582 = 0.\nAnswer: -17\/6, 1, 6719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let b be (2 - (-30)\/3) + m. Let p = -45 - -129. Calculate the greatest common divisor of p and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -129\/2, -9, 1 in increasing order.\nAnswer: -129\/2, -9, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 131. Let k be g(22). Let h = 2.07 - 107.07. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12*a**2 - 4. Let h(x) = -x**2. Let t(k) = k**3 + 3*k**2 - 3*k + 5. Let p be t(-4). Let y(b) = p*f(b) + 8*h(b). Find l such that y(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 7 + -2 + 41 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77, 174, 333, 548, 813, 1122?\n\"Answer: -x**3 + 37*x**2 - 7*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (9 - 5 - -2) - (-3 + 12 + -5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*a = 8, -4*a + 1293031 - 646508 = -4*s + 646515 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -346396?\nAnswer: -13\/346396","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 26 + (-6)\/2. Suppose 44*k - 302 = 50. What is the smallest common multiple of k and (-4)\/(-10)*(-5 + t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*l = 3*p + 29, -l + 8*p - 4*p + 38 = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15*x + 25. Let h be t(-12). Let k = h - -243. Calculate the highest common factor of k and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16064250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -85*292\/(-217175)*(-1 - (-9)\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70)*2*3 - sqrt(70)))\/(sqrt(1440)*2 + sqrt(10)) + (2*(sqrt(21)\/sqrt(3) + sqrt(7) + 1) + 3)**2)*5.\nAnswer: 996*sqrt(7)\/5 + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 918?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/30 + ((-3836)\/84 - -24) + -27?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 14*f - 42. Determine x(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2633939636 to three decimal places.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013746 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*v + 155*v - 5 = 0, -p + 5*v - 7 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 2*a - 2*a)*(2*a**2 - a**2 + 0*a**2 + 2 - 2 + 2*a**2 + (a - 6*a + a)*(2*a + 0*a - 3*a) + 28*a**2 + 6*a**2 + 8*a**2).\nAnswer: 98*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 - 18*g. Let a(v) = -v**2 + 4*v. Let b(m) = -9*a(m) - 2*d(m). Let i(u) = -16*u**2. Determine b(i(p)).\nAnswer: -256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -991, -1319, -1647, -1975?\n\"Answer: -328*f - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let i = -3 + f. What is the smallest common multiple of 4 and 5*(i - 3 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 9*d**2 + 18*d + 6. Let l be g(-5). Let h be 1*(2 - 3 - 0). Let b be (0 - 12\/(-4)) + -1. Sort h, b, l.\nAnswer: h, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351203 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let k = -6 - -8. Let m(a) = l*a - k*a + a. Let r(x) = x. Give r(m(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:51 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -29*g + 942. Let d be w(32). Let l(y) = -3*y**2 + 37*y + 70. Calculate l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199107 is divided by 15309?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3*x + 257049*o*x**2 - 7*o - 31410665*x**2 + 2*x wrt o.\nAnswer: -6*o**2*x + 257049*x**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 = g, 6*m + 2*g = 3*m + 10. Which is the nearest to 1? (a) -5 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 16\/2969, -0.1, 3\/7?\nAnswer: 16\/2969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3266 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/26)\/((-2)\/(-12)). Let n = 1 + v. Which is the closest to -1? (a) 1 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381 + 383. Suppose 4*r - 82 = -t*p, -r - 5*p + 13 + 3 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33\/125 + -8\/125. Sort -0.4, 15, k, 5 in ascending order.\nAnswer: -0.4, k, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8938 divided by -1030\nAnswer: 4469\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 4*l**2 + 2. Let f(o) be the second derivative of -o**5\/20 - 5*o**4\/12 - o**2 + 5067*o + 2. Give -6*a(h) - 5*f(h).\nAnswer: -h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - 2*b)*(-2*b**3 - 3*b**2 + 3*b**2) - 4*b**3 + 522*b**4 - 582*b**4 + 424*b**4 - 3*b**4 - 3*b**4 + 7*b**4.\nAnswer: 371*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z - 173 - 139 = -140*z. Solve -9*n + 6*n + 9 = 0, 3*s - z*n + 24 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**4 - 4*q**2 - 4*q + 4. Let l(d) = -8*d**4 + 4*d**2 + 5*d - 5. Let u(g) = -5*i(g) - 4*l(g). Find the third derivative of u(k) wrt k.\nAnswer: -312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4840 and 594594.\nAnswer: 11891880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkkkzzkzkk. What is prob of sequence zzzk?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000311170429 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -2)*-3*26?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000211200110 (base 3) to base 14.\nAnswer: 1039b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j)*(j + 4*j - 2*j) + (-9*j - 12*j**2 + 14*j - 6*j)*(1 - 3 - 1).\nAnswer: 39*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**2\/2 + 19*u + 6. Let w be q(14). Solve 18 = -0*o - o + w*c, 5*c - 9 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11942447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 85 = 3*w, v - 159 = -5*w - v. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - o + 0*o - 23 = 0, 0 = -3*o - 15. Let p be 65\/l + (348\/72)\/29. Solve -2*z - 11 = 3*d + p, -3*z + 1 = -4*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-20))\/(1\/4). Let r be (-214)\/(-10) + f\/5. Which is bigger: r or 20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 3, b: 3}. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/250 and 21\/129250.\nAnswer: 129250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((0 + sqrt(125) + 3)*-2)**2 + 3 + ((0 + sqrt(125))*-3)**2 + ((3 + sqrt(125))*-1)**2).\nAnswer: -1798 - 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68\/(-1598) - (-63552)\/188?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8611 divided by 437.\nAnswer: 8611\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 5*v, 3*r - 5*v - 5 = 9. Let f be (-1)\/(-4) + (-2)\/r. Solve 3*a - 6*g + g - 19 = f, 0 = -2*g - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 5, e: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/(63\/14)*-15. Let r = 3 + -2. What is the second biggest value in 1\/10, r, g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from yuuuuuyyuy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 30\/7*r - 2\/7*r**2 - 4 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13854 + 13854.24475. Round n to three decimal places.\nAnswer: 0.245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -5*t + 4680. What is the remainder when t is divided by 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from iontpl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/4 + 1443*w**4\/2 - 195135*w**3\/4 - 209239*w**2 + 42420717*w - 42163416 = 0. What is w?\nAnswer: -2952, -27, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21880540 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51534 (base 7) to base 13.\nAnswer: -5988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161364 or -3065910\/19?\nAnswer: -3065910\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -40 (c) 9 (d) 5 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44672271?\nAnswer: 3, 7, 31, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*c - 3, 2*c - 6*c + 26 = 5*s. Suppose 0*n - 96 = -s*n. Calculate the remainder when 57 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 48 = -6*a. Calculate the greatest common divisor of a and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 699*d**3 + 6*d**2 + 19.\nAnswer: 4194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 22815954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1519837*u - 1304. Let p be b(-8). What is p rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(171) + (sqrt(171)*2*-6 - sqrt(171)))\/sqrt(9) - (sqrt(684) + 1 + sqrt(684) + -3))*2)**2.\nAnswer: 96*sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = v + 7, 7*z - 12*z + 31 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 take away -1.35985533?\nAnswer: 2.39985533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 87. Suppose 0 = -f*k - 4*o + 28, o + o - 10 = 0. Suppose -3*l = -3*v - 7*l, -5*v - 3*l + 11 = 0. Calculate the smallest common multiple of v and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.14, -1, -26.4 in descending order.\nAnswer: -0.14, -1, -4, -26.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4782*f - 6 = 4776*f. What is the greatest common factor of f and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 4*k = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 + 100*t**5 + 143*t**2 + 1 wrt t.\nAnswer: 120*t**3 + 6000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 143, 143, 145, 149?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 + 290 = -26*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 120*n - 162. List the prime factors of w(9).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let o = d + 0. Find the third derivative of n**o + n**2 - n**3 - 3*n**2 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045753274 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and 14.32.\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 17*z = 8, 0 = -3*p - 76*z + 78*z - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1365 = -7*a + 2*a. Let o = a - 1359\/5. Factor -18\/5 - o*f + 2*f**2 - 2\/5*f**3.\nAnswer: -2*(f - 3)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100011210012 (base 3) to base 5\nAnswer: 21240020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 6217 - 5881 = 0 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-273849)\/30. Let w = -4570 - p. Let h = 2119 + -12613\/6. Find the common denominator of w and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-220) - 41\/(-165). Is 1\/2 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40, 9, 2\/11, 5, -8\/7, 0, -4\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2522534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/2 + 206755*a**2\/2 - 5343608816*a + 16029896064 = 0. What is a?\nAnswer: 3, 103376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -75.3687.\nAnswer: -77.3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 3037, -4\/11, 0?\nAnswer: 3037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30733*b**2 + 8*b**3 + 54*b**3 - 30731*b**2.\nAnswer: 62*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/(-495))\/(-2))\/((-42)\/(-231)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 4:50 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 6*i - 5. Let j be z(4). Suppose -j*k = -k - 28. Calculate the remainder when k is divided by 24\/9*(4 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -26\nAnswer: 31\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251 + -5303503?\nAnswer: -5303212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.9 - 11. Let r = -2.7 + 2.4. Let u = r + a. What is the biggest value in -2\/13, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1976*r - 3543 + 133114 = -132*r - 47501 for r.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 4*w + 4. Let j be h(-4). Let y(g) be the second derivative of 0 - 1\/6*g**3 + 5\/2*g**2 - 5*g. Give y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.978 rounded to one dp?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12952153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145084942?\nAnswer: 2, 1777, 40823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-8 + 13)) + 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-44)\/(-8))*8\/(-322).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*g - 40 = -85*g. Let t be 55\/g - (-2)\/8. Differentiate -49 + 170*x**3 - 86*x**t - 83*x**3 + 16*x**4 with respect to x.\nAnswer: 64*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1191917 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.101 - -22.899. Let n = s + -23.73. What is n rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + u - 1. Let l(o) = 11*o**3 + 4*o**2 + 6*o - 2. Let g(k) = -l(k) - 4*q(k). Give g(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i - 2*i. Suppose -3*b - 258 = -3*q, i*q - 11*q + 3*b = -343. Calculate the greatest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 - 2*p + 12. Let j be l(5). Let y(v) = 448*v + 4. Is 18 a factor of y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - 2 - (0 - -5). Suppose 2*x + 4*f + 580 = 7*x, s = -3*x + 2*f + 346. What is the remainder when x is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1856652567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13501020 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 14, 41, 90?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15500.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189216 by 146.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 - 17*a - 57. Give u(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 2437?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4558)\/424)\/(((-1)\/(-4))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 28. Which is the second biggest value? (a) -0.4 (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5\/5 - 78*d**4 + 17271*d**3\/5 - 10482*d**2\/5 - 52284*d - 67320 = 0.\nAnswer: -165, -2, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 9*p = -3*p. Let u be (-2 - (-8)\/3) + 161\/69. Put u, -3, p, 51 in descending order.\nAnswer: 51, u, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1529 + 1477 + 11*v**2 + 8*v**2 - 3007.\nAnswer: 19*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5\/2 - 17821*i**4\/3 - 611773*i**3 + 262846*i**2\/3 + 1223541*i\/2 - 81675 = 0 for i.\nAnswer: -99, -1, 2\/15, 1, 2475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*h - 2*g + 15, -10*g - 117 + 94 = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249780 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 at least as big as 1241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 30.16742?\nAnswer: 30.06742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 11*k**2 - 10*k + 17. Let n be u(12). What is the derivative of -3952*d**2 - 6 + 3952*d**2 + 16*d + 3*d**4 + n wrt d?\nAnswer: 12*d**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -777.26 times -551?\nAnswer: 428270.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -5*f. Suppose 21*p - 30 - 75 = 0. Suppose 7*x + 5 = 4*b + 8*x, -3*x = -p*b + 19. Solve -b*g - c = -0*c, -4 = -2*g - f*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: (105 - 197) + 57 - (0 + -2 - -4) - -13\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2. Suppose -3*r + 15 = -3*m, 0*m = m - 5*r + 17. Let p = m - -4. Let y(d) = 2*d - 5*d**p - 2*d. Give s(y(i)).\nAnswer: -50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0*h + 2 = 2*h, 1270 = 2*a - 3*h + 1275 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399953 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 49 = -3*q. Let f(j) = 193*j + 13. Let u be f(q). Differentiate -3 + 5*b**3 - u*b + 1364*b wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190132 = -51*h - 56*h + 319852. Is 126 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -47*c - 49*c + 87*c. Let n(x) = 54 - 20 + 3*x - 14 - 20. What is n(f(l))?\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhhh when four letters picked without replacement from {h: 6, z: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -476 + 476 - ((2 - 4) + -9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73821440 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.06 (c) 0.4 (d) 0.182117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -287, -661, -1185?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 5*j + 13. Give g(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (25 - (23 - -10) - 13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44806)\/6252*(-2)\/86.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*s + 3*p, 4*s + 20*p - 15*p - 60 = 0. Calculate the lowest common multiple of s and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278\/(-159) - ((-13545)\/795 - -17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**2\/2 - 11*m - 1. Differentiate r(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188549602*g**4*n**3 - 2*g**3*n**3 + 3*g**2*n**3 - 32*g**2*n**2 - 215347*n**3 + 2*n wrt g.\nAnswer: -4525190448*g*n**3 - 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 21*q - 124 = 0. What are the prime factors of q - (-1)\/((-6)\/(-12))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7007 is divided by 1658?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7225 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 5 = 0. Let c be ((-18)\/8)\/(3\/(-8)). Suppose -3*y + 5*v = 1, c*v - 5 = n*y + v. Sort 2, 4, y.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211012451 (base 7) to base 16.\nAnswer: -be5701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2233 divide 13080851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(320) + 4*sqrt(320)*-2 - (sqrt(125)*-4*4 + 4)**2.\nAnswer: -32017 + 584*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 12) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9819614 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190298 and 1371458?\nAnswer: 39772282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(170)*-2*1*-5)\/((sqrt(490) - -2*sqrt(490)) + (sqrt(70) + -1*sqrt(70) + sqrt(70))\/sqrt(7))*-6.\nAnswer: -30*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 34350.1 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + j - 50 = -3*j, -3*t + 185 = 5*j. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(100) + sqrt(100)*2))\/(-4*sqrt(45)\/sqrt(9) - sqrt(5) - (sqrt(320) - (sqrt(320) + sqrt(320)*1))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let b(r) = -4*r. Suppose -3*f - 4 = -1, 5*x - 2*f = -3. Let p be 432\/(-360) - 1*x\/5. What is p*b(i) + 3*l(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.5 + -11. Let a = 0.5 - z. Let v = 2 - 7. Sort v, 0.4, a.\nAnswer: v, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 93894 = -6774. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416 divided by -242.\nAnswer: -708\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 636 + 24*t**2 - 636 + 7*t**3 as r*t**3 + i*t + j*t**2 + s and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 95639654.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -3. Let q(r) = 5*r - 3. Let c(z) be the second derivative of -11*z**3\/6 + 3*z**2 - 451*z - 1. Give y*c(h) - 9*q(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwtd when four letters picked without replacement from lldkttzwz?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose n*l + 5*a - 9 = 0, -3*l + 6*l - 2*a + 22 = 0. Sort -3\/7, l, 4\/5 in increasing order.\nAnswer: l, -3\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2036323716157\/932732839148 + 129\/57643708. Let u = 2\/1471 + y. Is u greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {p: 2, l: 4, d: 2, e: 3, v: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/5 - 18*u**4\/5 - 46*u**3\/5 - 6*u**2 = 0?\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 549b3?\nAnswer: -549b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.4884?\nAnswer: -1.4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 2*b**2 - 5*b - 9. Let r(u) = 7*u**3 - 9*u**2 - 21*u - 37. Calculate 2*r(q) - 9*x(q).\nAnswer: -4*q**3 + 3*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = -4*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-9) - (-1666)\/3. What is the tens digit of q\/(-7)*(80 - 87)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(120)\/sqrt(2))\/sqrt(12).\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824324891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 125\/(-10)*(-18)\/15. Solve -5*n + 3*u - 30 + 70 = 0, -n = 4*u + c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 132, -17?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -770510 - -0.10072.\nAnswer: -770509.89928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (18 + 3 + 4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(475) - (4*sqrt(475) + sqrt(475))) + 2 - -4*(sqrt(1539) + 1*(sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 0)))))**2.\nAnswer: 208*sqrt(19) + 51380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a + 2. Let s be (2 + 2 + -3)*(-4)\/(-2). Suppose 4 = -3*o - s*z + 10, 0 = -3*z. What is k(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - -77. Find the common denominator of 2\/5 and -1 + (t\/12)\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 6, -5 in decreasing order.\nAnswer: 204, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33658350 + 3?\nAnswer: -33658346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -230*z + 2527230 + 4147830. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 15, i: 3}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + -2)*(-217)\/7. Let y = x - 276. Solve y*t + 15 = 3*b, -t - 5*b + 9 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m + 5 - 5 + 4*m - 2*m + 0*m + (1 + 0 - 5)*(m + 6*m - 3*m) to j*m + z and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5743*r + 242 = -11454*r + 5733*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156751 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7535328\/997 - 7558. Is 0 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20\/3 + 31\/6. What is the fourth biggest value in -1\/2, 0, 19, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 a, and 1 r when four letters picked without replacement from {p: 1, a: 1, r: 2, j: 2, d: 2, h: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 1. Let q be k(-5). Let u = -18 - q. Calculate the remainder when u is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(27\/(-9)))\/((-3)\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/9, -17, -20, 0?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3597)\/360 - (-4)\/(-30) and 20\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 41699 = -2*d, -2*p + 5 - 3 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 4612*f**2 + 27*f + 2 - 2826*f**2 - 23*f in the form u + g*f + b*f**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from gcggccgccc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 2. Let n = 22 - 22. Suppose -r + 9 - 5 = n. Suppose 4*w = 3*c + r, 2*c + 8 = -0. Let k(s) = 2*s - 5. Determine w*k(y) - 5*f(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 1245\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.6 - 1.4. Let g = -125 + 112.7. Let k = g - s. Which is the nearest to 0.1? (a) -2 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + sqrt(52).\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/6 of a decade?\nAnswer: 820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in -10, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -124110?\nAnswer: 124113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Let i(u) = 8*u**4 + 5*u**3 - 61. Let s(j) = 12*j**4 + 7*j**3 - 91. Let r(y) = z*s(y) - 7*i(y). Differentiate r(t) with respect to t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5750 and 920?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:53 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.4 (c) 1\/5 (d) 32 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1254\/7 + 10403\/56. What is the common denominator of o and -43\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 261666425 - -5?\nAnswer: 261666430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2\/5*i**2 + 54 - 2\/15*i**3 + 0*i. Factor n(f).\nAnswer: -2*f*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:53 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 403166.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(153) - sqrt(17)) - sqrt(17)) + (sqrt(1088) + sqrt(1088)*2 + sqrt(1088) + sqrt(1088))**2)*-5.\nAnswer: -136000 + 65*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1575793\/42 + -37516. What is the common denominator of -141\/70 and g?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 5*d - 28, 444*i - 424*i - 60 = 5*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -8*o**4\/3 + 743*o**3 - 5806*o**2\/3 + 920*o = 0.\nAnswer: 0, 5\/8, 2, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 369*t**6 + 397*t**6 - 764*t**6 + 5684*t**3 + 2*t**5 - 380*t**2 wrt t.\nAnswer: 240*t**3 + 120*t**2 + 34104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18*t + 93. Let p be o(5). Solve -n = -p*d - 0*n + 10, 4*d = -3*n - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*d - 10, -7*r + 3*r - 20 = d. Let p = -5 - r. Let j = -0.09 - -0.09. What is the closest to j in p, -3\/7, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3220584, -2\/5 in ascending order.\nAnswer: -3220584, -3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (13 + -6 - 14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*sqrt(56)\/(sqrt(24)\/sqrt(3)) - ((sqrt(7) + sqrt(7)*2 + 1)*5)**2).\nAnswer: -1600 - 145*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 318*h - 772*h - 187*h - 885*h to the form x + q*h and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**6\/120 + n**5\/10 - 11*n**4\/24 + n**3 - 9*n**2\/8 + 16*n. Determine w so that d(w) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-340)\/(-28730))\/(32\/(-3744)).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*d + 19*d + 38 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/2 - 3*h**2 - 1. Find the second derivative of i(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*g = 118, 0 = 2*f - 3*g - g - 120. Let l be 8\/(f\/(-84))*1*2. Let s be -27 + 20\/5 - -1. Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, 125.19, -3, -1\/2 in decreasing order.\nAnswer: 125.19, 0.4, -0.2, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 510461543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**3 + c**2 - 10*c - 10. Determine f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1751 - -1975. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14676.6347 - 14678.08071093. Let d = 1.446 + p. What is d rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11188138, 22376277, 33564416?\nAnswer: 44752555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 84*s**2 - 312*s + 156. Let y(u) = u**2 - 4*u + 2. Let t(f) = 234*y(f) - 3*z(f). Let l(i) = 27*i**2. What is l(t(n))?\nAnswer: 8748*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -613.714 - -614. Let n = -1.286 + r. Is n at most 303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 3*b**4 + 5*b**4)*(2*b + 4 - 4) + (-1 - 4 + 2)*(-3*b**4 - 2*b**5 + 3*b**4) + (b - 2*b + 0*b)*(2*b**4 + 4*b - 4*b).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2*(-1)\/1). Suppose -g + 4 = 2*d. Let k(f) = 1. Let q(t) = -2*t**3 + 1. Let r(o) = d*q(o) - 2*k(o). Differentiate r(p) with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 77. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110742 divided by 18457\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58548 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6481?\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39853 is divided by 13272?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 461813220 and 0.06115.\nAnswer: 461813220.06115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1611681 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 0*m + 2*m)*(0 - 1 - 2)*(-m**3 - 9*m**3 + m**3) - 2*m**4 + 8*m**4 - 10*m**4 to the form g*m**3 + o*m**4 + v*m + b*m**2 + x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -44. Let l be (-488)\/56 - q\/14. Which is bigger: l or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (29 - 14) - (3 + 0 + -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**2 + 531*d + 2446. What is v(-5)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(605)*1)\/sqrt(11))\/((2*sqrt(50)\/sqrt(2) - sqrt(25))\/sqrt(5)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5771 + 5875. Calculate the remainder when 624 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110695 - -17932721\/162. Let p = -15127\/8 - -1886. Calculate the common denominator of d and p.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-27 + 12 + -15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16167 and -0.4?\nAnswer: 0.56167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 175\/(-14) - (-9 - 3). Let u = 1.1 + -1. What is the nearest to u in -1\/4, x, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9046*f + 27109. Calculate d(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 7*a + 132, 1236761*z - 1236766*z = -3*a - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8029, 8027, 8025, 8023, 8021?\nAnswer: 8019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -146301 - 318*v + 9*v**2 + 146301 in the form d*v**2 + h + r*v and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23813, -24399, -25381, -26765, -28557, -30763?\n\"Answer: -o**3 - 192*o**2 - 3*o - 23617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 672961031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10 = 4*j, 11*j = 3*a + 6*j - 26. Let f(u) = 6*u + 5*u**2 - 8 - 14*u**a + 10*u**2. Determine f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-7452))\/((-2)\/18)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 10. Let y(x) be the first derivative of x**3\/3 - x**2\/2 - 27*x - 708. Give y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.683965 less than -45630.4?\nAnswer: -45633.083965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**9\/3780 + y**7\/252 + y**4\/4 + 2*y. Let z(c) be the third derivative of j(c). Find the third derivative of z(v) wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 447.4 - 445. Let g = 0.1 + -0.3. Put g, j, -2 in increasing order.\nAnswer: -2, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + 0 - (-38 + 44))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6 - 2 + 7 - h. Let q(b) = 6*b**2 - 5*b - 4. Let j(u) = -4*n(u) + q(u). What is the second derivative of j(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:51 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 19. Let x(b) = b + 2. Let j be x(-2). Suppose j = 27*r - 28*r + 4. Solve -7*f - v = -2*f + 22, f - 4*v - r = i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 45 = 2*y, 4*y + t + 5 = 70. Let n = 15 - y. Suppose -6*z + 2 + 4 = n. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-39))\/(5025\/(-108875))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2450 and 3068380?\nAnswer: 15341900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/20*(-10)\/12*24380\/575 and ((-650)\/(-15))\/((-4)\/1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20789 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 425894 equal to 425881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63.4 + 63. Sort 2\/7, c, 0 in decreasing order.\nAnswer: 2\/7, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2399*s - 26. Let m(t) = 601*t - 6. What is 6*f(b) - 26*m(b)?\nAnswer: -1232*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 5069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 9*y**2 + 13*y - 8. Let v be j(10). Let f be (-2 - v)*9\/(-4). What is the greatest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8*n + 9*n - 27*n - 36*n.\nAnswer: -62*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88084 and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:33 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 387\/244?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 4*j + 75. Let v = -2\/35 - 29\/105. What is the closest to v in j, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*(p*p\/p**(2\/7))\/p)\/p)*((p\/(p\/(p\/(p*(p*p*p*p*(p*(p*p\/(p**(-8)\/p))\/p)\/p*p*p)\/p))))\/p)\/p*(p\/p**(-3))\/(p*p**(-2\/5)) assuming p is positive.\nAnswer: p**(-466\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6686871*m**2 + 5*m - 6686874*m**2 - m - 4*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 6 = -g - 0, -4*g + l - 3 = 0. What is the tens digit of g\/((-5)\/1405*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**4 - 7*o**3 - 64*o - 7139 wrt o?\nAnswer: 4*o**3 - 21*o**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(2043\/46 - (-32)\/368) is divided by 29 + 1 + 2\/1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 223*r**2 - 8*r - 7. What is s(-1)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1*(11 + -11). Let p(d) = 15*d**2 - 15*d + 23. Let j(w) = -2 - 7*w - 2 + 15 + 7*w**2. Let v(u) = -13*j(u) + 6*p(u). What is v(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:12 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, 17, 58, 115, 188, 277, 382?\n\"Answer: 8*t**2 + t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 51*t + 1. Let h(m) = -7*m**2 + 30*m - 50. Let y(n) = 6*n**2 - 24*n + 40. Let d(w) = 4*h(w) + 5*y(w). Determine l(d(v)).\nAnswer: 24*v**4 - 102*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 less than 7754478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let y be t(0). Suppose y*r - 3*r - 6 = 0. What is the least common multiple of -15*(-4 + 72\/20) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6897444*i**5 - 6723672*i**2.\nAnswer: 413846640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56218859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6205 divide 508767938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1928115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 6*q**2 + 6*q - 7. Let b = -3 + 0. Let d be b + 1 + 10\/(-2). Calculate j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 51*l - 6. Let b be f(1). Suppose 36*s + b = 41*s. Suppose s*k - 27 = 306. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -348.21 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1230 (base 6) to base 10\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 10 + 0*t + 17 + 6. Does 4 divide b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3408 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*s - 23, -3*s + 4*c = -0*s + 1. Let p(q) = 13*q**3 - 7*q**2. Let g(i) = 4*i**3 - 2*i**2. Let t = 55 + -53. Determine s*g(x) + t*p(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/33999 and -29\/7112.\nAnswer: 34542984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2)\/f*f*f)*(f**(4\/5)\/f)\/f*f)**(-5\/3))**1 assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 838331 and 767.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -4 + 7\/2 - (-1128)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.59 - 164.41. Let v = -167 - j. Let x = -1.7 + 2. What is the closest to v in 3, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwd when three letters picked without replacement from wvwvwwvvdvvwdv.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -32) + -18 - (0 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and -41\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*((w*w\/w**(2\/7))\/w)\/w*w)**(-1\/49)*w**(-9\/5)*w**(-2\/3))**(2\/153) assuming w is positive.\nAnswer: w**(-25952\/787185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*d + 56 = -46*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/103, -0.5, -3\/7, 0, -1\/646, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27270, -26969, -26668, -26367, -26066, -25765?\nAnswer: -25464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1414 (base 5) to base 16.\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -260 + 264.98. Let x = t + 0.02. Let b = x + -4.7. What is the third biggest value in -5, b, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71973, 143715, 215461, 287211, 358965?\nAnswer: 430723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Suppose 0 = 4*s - 21 + 1. Solve 0 = -4*u + 2*o - 16, 3*o + t*o + 5 = -s*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 3:29 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by 16\nAnswer: -191\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/645)\/(1\/(9\/(-6)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 8*l + 5. Is b(9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**4 - 135*w**2 - 125*w - 16597 wrt w?\nAnswer: 8*w**3 - 270*w - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3, 52 in increasing order.\nAnswer: 2, 3, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9429952 divided by 4714976\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 5281417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-55)\/10) + (-2)\/11. Solve d = 5*f - 9 + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 6757133?\nAnswer: 6757121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 4*f + 21. What is v(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -326344 (base 9) in base 14?\nAnswer: -51074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 - 4167*b + 4161*b to the form w*b + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*(3 - 46\/8). Let r = z + 297. What are the prime factors of r?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q*r**4 - 2*q*r**3 - 503*q*r**2 + 10*q*r + 3*q - 12*r**4 + 46469*r**3 - r**2 + r - 2 wrt r?\nAnswer: 72*q*r - 12*q - 288*r + 278814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21275497799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326912*d**4 + 303075*d**2 wrt d?\nAnswer: 7845888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, 3, -35, -214.\nAnswer: -214, -35, -30, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 14*n**2 + 2*n - 21. Let u be k(14). Calculate the greatest common divisor of 77 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161.5 + -158.656. Round s to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1, 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 = 5*b - 0*b, -2*b + 6 = -f. Solve -b = 4*r - 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 11 + 1. Let d(t) be the first derivative of 0*t**2 + y + 1\/4*t**4 + 0*t - t**3. What is the third derivative of d(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7467 - -25118. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q - 14. Let a(d) = -3*d - 7. Let b(t) = 9*a(t) - 4*h(t). Let y(f) = 1. Let x be (-16)\/6*9\/4. Give x*y(p) - b(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c4a - 1097?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1090627, -1091012, -1091399, -1091788, -1092179, -1092572, -1092967?\n\"Answer: -x**2 - 382*x - 1090244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 148*d + 13. Let l(f) = -18*f**2. Calculate l(v(g)).\nAnswer: -394272*g**2 - 69264*g - 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 7*y**2 - 13*y - 4. Is u(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17*r - 483. Calculate f(29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 9 (b) -0.3 (c) 2 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46191.\nAnswer: 3, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, -1.2, -370\/9, -0.2, -4 in decreasing order.\nAnswer: 3, 1\/3, -0.2, -1.2, -4, -370\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -27*c**3 - 12*c**2 - 12*c. Let p(s) = s**2 - s. Let v(b) = 11*b**3 - b**2 + 11*b. Let o(h) = -6*p(h) - v(h). Calculate -5*m(q) + 12*o(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 + -197. Suppose -2*t + 3*d - 2*d + 34 = 0, 4*t = -4*d + j. What is the remainder when 68 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 37*s - 67. Let o be c(35). Let i(l) be the third derivative of -2*l**2 + 0*l**o + 0 + 1\/300*l**6 + 1\/150*l**5 - 1\/30*l**4 + 0*l. Factor i(p).\nAnswer: 2*p*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-21) - 20\/77. Sort 1\/2, 3, c in ascending order.\nAnswer: c, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 380 (b) 0 (c) -753\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 110 = 4*v + 6, 5*o - 2*v = 172. Solve -60*u = -68*u - o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + a5?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(110) - sqrt(110))*3 - sqrt(110))\/(sqrt(160)*-3 - sqrt(10)) + 0.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 89 * 88971\nAnswer: 7918419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-49)*((-21357)\/(-810))\/(-113).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 5:35 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*a + 3*r = 18, -4*a = 3*r + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -28*h + 61. Factor 5\/6*g**4 + 5\/6*g**5 - 5\/6*g**h - 5\/6*g**3 + 0 + 0*g.\nAnswer: 5*g**2*(g - 1)*(g + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 1)*(5*c - 5*c + 2*c) + 2*c + 4*c - 4*c)*(3*c**3 + c**3 + 2*c**3).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0096 + -0.053. Let i = -0.0433783 - y. What is i rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-26)*o**44 assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 9 = 8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -306, -477, -648?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4131407 (base 9) to base 13\nAnswer: -5c2b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2\/5*n**2 + 2\/5 + 4\/5*n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 82.56305 centuries?\nAnswer: 8256.305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + (12 - 27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7426 + 3925. What are the prime factors of k?\nAnswer: 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {s: 2, i: 2, p: 2, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7535*s**2 + 7531*s**2 - 15061*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 7*t - 7. Let k(y) = 19*y - 188. Let r be k(10). Suppose -5*l - 5 = -0*l, 3*f - r*l + 22 = 0. Give q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1216) + sqrt(1216)*2 + sqrt(1216)) - sqrt(1216) - (sqrt(684) + -6*(sqrt(684) + 0)).\nAnswer: 86*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -1 (c) 7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 - 6*l**2 - 3*l**3 + 2 + 2*l + 0. Let w(a) = -a**2 + a + 1. Let n(o) = -j(o) + 2*w(o). What is the third derivative of n(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 9*q + 3\/2*q**2 + 15\/2 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 10 - 37 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6802901 by -679.\nAnswer: -10019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2666248, -5332490, -7998728, -10664962?\nAnswer: -13331192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0 (c) -0.08 (d) 38.9 (e) -3 (f) 8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-11 - -15 - 33)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436718 is divided by 278.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 7 = -5*a + 1, -4*a = 2*s + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 1, g: 2, i: 2, j: 1, p: 1}. What is prob of sequence tpq?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -142. Let g = 135 - k. Suppose -87*n = -91*n + g. Solve 4 = -n*q + 6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(72))**2*-6.\nAnswer: -648 + 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/1473 and 4\/15.\nAnswer: 7365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*s + 33 = 6*h + 208*s, -16 = -h - 2*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 9*a**2 - 2*a - 22. Let p be m(-9). Let n be -2 - (-7)\/((-14)\/p). Solve n = -2*b - b - 3*c + 12, 0 = b - 5*c + 26 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:47 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9051 - -36193\/4. What is the nearest to 9 in 4, 0.4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) -29 (c) -1\/6 (d) -113\/4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/12 - (-1443)\/18. Suppose -2*g + g + u = 0. Let t = -35 + g. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*((a*a**13*a)\/a*a)\/a))\/a*a)\/a*(a*a**(-2\/49))\/a*a)\/(a**(-1\/8)*(a*a**(-1\/10)*a)\/a) assuming a is positive.\nAnswer: a**(-29039\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1769\/2 - -882. Put m, 32, -0.1, 0.1 in decreasing order.\nAnswer: 32, 0.1, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = -5. Let i be (-650)\/l - -2 - -3. Let y = i - 404. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 + 9*x + 29. Let t(l) = -3*l**2 - 4*l - 14. Determine 2*b(r) + 5*t(r).\nAnswer: -r**2 - 2*r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 - 5 = 0. Let l be 6164\/22 + 2*-1. Let m = -278 + l. Which is the third smallest value? (a) h (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 - 4350220.\nAnswer: -4350171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, -4, 341, -46, 2.\nAnswer: -46, -4, 2, 233, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -57*n**3 + 51*n**2 + 159*n + 30. Does 42 divide b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 102*s. Let h be c(-26). Let i be (-1)\/(h\/(-372)) + 14\/(-91). Solve 0 = -i*y + y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 3*z + 29, 0 = -27*k + 5*z - 2 - 118 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.43 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933 = -27*l + 204. Let u(z) = z**2 + 33*z + 195. Let d be u(l). Let x = -16 + 27. What is the highest common factor of x and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 + 1707 = 176*c. Calculate the remainder when (-3 - 0)*(2 - 11) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9425*z - 9519*z = -3854 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1955485, 1955487, 1955489, 1955491, 1955493, 1955495?\n\"Answer: 2*v + 1955483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68758 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.94 + -2.940019731. What is q rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 143*q - 695. Let a be (-20)\/(-6) - (-1)\/(-3). Suppose y - 324 = -a*y + 4*g, 0 = 4*y + g - 314. Calculate the remainder when y is divided by d(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 21440?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*a - 9 + 2 = 0, -3*a = 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 2. Let c = 2055 + -2049. Give o(c).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(700) + 4 + sqrt(700))*4 - (-2 + (sqrt(700) - (2 + sqrt(700) + -3)) + -4))**2.\nAnswer: 73920*sqrt(7) + 1618729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*r - 82. What is the tens digit of (-284)\/r - 4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 14 = s. Let i = s - -18. Suppose 3 + 29 = i*x. Solve 5*j + x + 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 12:50 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11606.\nAnswer: 2, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1400\/3 + -11203\/24. Let p = 2 + -2.1. Which is the nearest to p? (a) 0.5 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254062 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: Express -59*z - 812*z - 601*z - 464*z + 0 + 0 + 3*z - 4 + 4 + 2*z + z - 4*z + z + (-1 + 1 - 2*z)*(-5 + 3 + 0) - 4 + z + 4 - z + 4*z + 3*z as h + r*z and give r.\nAnswer: -1922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/3*9\/36.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 - 823*h**2 + 274*h + 1076. Give a(274).\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.707 + -0.293. What is the third smallest value in 4\/7, q, -20?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 12*w + w**4 - 23*w + 2 + w**2 + 9*w - 2*w**2 to f*w**4 + j*w**3 + n + x*w + q*w**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + y**2 - 3 - 4*y + 3*y. Let m be v(-4). Is m + 3\/3 + 37 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 49774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 349*o**3*p**2 - 2*p**2 - 1106 wrt o.\nAnswer: 1047*o**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 16. Let w be d(-12). Solve 2*s + s + 19 = 5*l, -w*s = -2*l + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/15 + 134*z**3\/5 - 21338*z**2\/15 + 20314*z\/5 + 107016 = 0?\nAnswer: -245, -7, 12, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, -3\/16, 2, -0.05, 14 in decreasing order.\nAnswer: 14, 2, -0.05, -3\/16, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 greater than 173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2436 and 45293766?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 16) to base 7.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Suppose 0 = 3*q + 2*b + 19, -1373*q - b = -1367*q + 14. Sort -5, t, q, 28 in descending order.\nAnswer: 28, t, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(425) + -1)*-4)**2.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 776720 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 + (112 + 259785\/(-2300) - 2\/40).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27968637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634722 = -10207*h - 202252 for h.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 11 - 7 + 9 - 43*c.\nAnswer: -43*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 times 0.2?\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g + 5. Let q(z) = 46*z - 25. Let o(h) = -11*f(h) - 2*q(h). Is 4 a factor of o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -21, -37, -57?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from yyd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 + 149. Let m = f - 216. Let p = m + -89.000026. Round p to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) -17 (c) 12 (d) 0.07 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1456*x - 1386*x - 1386*x - 1380*x + 6989*x - 1377*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76648*u**3*w**2 - 192*u**3*w + 21*u**2*w**2 + 7*u**2 + 24*u - 7*w**2 - 9*w wrt w?\nAnswer: -153296*u**3 + 42*u**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 2*p**5\/3 + 126*p**2. Let b(k) = -5*k**2. What is b(c(w))?\nAnswer: -8000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -m - 7, 12*m + 4*v + 7 = 15*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -601\/10 + 827269\/13765. Let n = 12096018712 - 166501697737229\/13765. Let u = n + m. Find the common denominator of -5\/12 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 1325306*k - 1325306*k - 8*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(1\/6))**(-50))**(-1\/35)*((a**(1\/2)*a)\/(a*a**(2\/17)))**(-1\/39) assuming a is positive.\nAnswer: a**(621\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/6 + 5*m**2\/2 + 4*m. What is the first derivative of j(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*k + 4, -4*f = -0*f - 2*k - 16. Suppose -7*g + 24 = -f. What is the highest common factor of g and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 41. Let i(z) = 6*z + 1. Let o(g) = 2*i(g) + p(g). Let n = -10 + 16. Let w be o(n). What is the second smallest value in -0.1, w, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2, -11*a + 5*v = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 7*z - 1155 + 979 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-788)\/18 - 34\/(-153). Let c = -46 + d. Let r be (-1)\/4*56\/21. Sort 1\/3, c, r in ascending order.\nAnswer: c, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 691.001488 + -815.0014654. Let v = h + 124. Round v to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 - 4688*a**4*m + 303*a + 43*m wrt a.\nAnswer: -20*a**3 - 56256*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5781?\nAnswer: 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13543960.\nAnswer: 2, 5, 19, 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o - 122*o + 35*o + 25*o + 29*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 24. Let l(h) be the third derivative of -h**6\/30 + 23*h**3\/6 + 22*h**2. Let t(b) = 6*l(b) - 5*x(b). Differentiate t(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -267.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 6 - (-12 - (9 - 15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/2 - ((-30)\/(-4))\/(-5). Let g(l) = l**3 - 18*l**2 + 16*l + 23. Let p be g(t). Suppose -p*i + 692 = -4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5662448*x**3 - 63*x + 9*x + 5662447*x**3.\nAnswer: -x**3 - 54*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 30, 48, -3, 0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a + 452. Let q(x) = -5*x + 246. Let u(t) = -11*q(t) + 6*r(t). Let m(w) = -w. Let f be m(-3). Determine u(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51752400 by -4200.\nAnswer: 12322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 611550 divided by 20385?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4047345 to the nearest ten thousand.\nAnswer: -4050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:48 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84504\/25 at least 3379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*w - 8. Let d = -10 - 2. Is ((-165)\/d)\/((-1)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -670*j**2*s**2 - 649*j**2 + 28*j*s + 2*j - s**3 - 56 wrt s.\nAnswer: -1340*j**2*s + 28*j - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 588*r - 7352*r - 26 + 66. Let c be h(10). What is c rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5\/6, -55, -1\/5, -1.6 in descending order.\nAnswer: 1, -1\/5, -5\/6, -1.6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -17*b**3\/6 + 85*b**2\/2 - 72*b. Differentiate z(o) with respect to o.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10713923, -10713957, -10713993, -10714031, -10714071?\nAnswer: -10714113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64990858 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from eeveveveeeevvdeeevev?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 11:33 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 21*y = -6. What is the greatest common factor of 25 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(13))**2 + -4 + 4 + (sqrt(1872) + -1 + sqrt(1872) - (-4 + -2 + sqrt(13))).\nAnswer: 16 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44\/5 + -416\/45. Sort 4, 2, -9, c in decreasing order.\nAnswer: 4, 2, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6835110957 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 17 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjejjje. Give prob of sequence eje.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157231, 314459, 471687, 628915?\nAnswer: 786143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 54*j**5\/5 - j**3\/3 - 360*j**2 - 331. What is the second derivative of i(z) wrt z?\nAnswer: 648*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 + (-23350)\/255 - (-2)\/6?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m**2 - 7*m - 1. Let t(q) = -q. Let g(p) = j(p) - 5*t(p). Let x be g(-1). Let s = 8 + x. Solve 3*c - 5*o + 1 - 11 = 0, 8 = s*c - 4*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3687*x**6 + 4*x**3 + 8934*x**2 wrt x?\nAnswer: 442440*x**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17*m**3 - 5*m**2 + 2*m - 12. Let o(y) = -6*y**3 - 2*y**2 + y - 4. Determine 3*b(d) - 8*o(d).\nAnswer: -3*d**3 + d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.12 - 20.72. Let w = -2.8 - v. Let k = -16 + w. What is the third smallest value in k, -2, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/29, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 less than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 900401 - 533614. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w - a - 20, -3*w + 55 = -2*a. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 2, x: 4, r: 2}. What is prob of picking 2 v and 2 r?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c**2 - 2)*(-2 + 2 + 2*c**3) + (-153*c**4 + 1615*c - 1615*c)*(-4*c + 10*c + c).\nAnswer: -1075*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:26 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 10*k - 1. Let z = 8 + 0. Let r be w(z). Suppose 4*t - r - 5 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b650 + 17a9?\nAnswer: 11239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.02, 5, -4, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 45\/7244?\nAnswer: 45\/7244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1563*f + 369 - 300 - 1632 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4050432 and 99840?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 3. Let v = -0.2 - 0.3. Let q = 0.3884 - 0.0884. What is the third smallest value in v, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110.8 and 0.9.\nAnswer: -99.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3475400 and -3\/223294450.\nAnswer: 893177800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 47. Let t = 86 - 66. List the prime factors of q(t).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {d: 9, g: 1, a: 2, y: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (88\/72 - (-4)\/(-18)). Is b at least as big as -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r - 2*l + 14, -6*r + r + 4*l - 28 = 0. Which is the smallest value? (a) 958\/7 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1365 (b) -0.4 (c) 0.4 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 149*v - 4281. Calculate h(23).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1308 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 100 = 1234. What is the greatest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (-41 - -86 - 52).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 10b?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6764)\/(-38) - (-6)\/(-3) and 66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1342, -2721, -4112, -5521, -6954, -8417?\n\"Answer: -c**3 - 1372*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -0.67?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 715 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*p = -587*p - 531*p + 14520 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/51 - 40\/(-6). Solve y + 2*i + 1\/5*i**2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 10, -3\/7, 0, -1148, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -761*o - 537*o - 141*o + 64755 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.873 - 2.127. Which is the smallest value? (a) -34 (b) -1 (c) p (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*b**3 + 8*b**3 + 23*b**3.\nAnswer: 207*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-6) + 2\/(-6). Suppose 15 = 2*d - r - 33, 119 = 5*d - 3*r. Suppose -105 = -26*u + d. Solve -z*t + u = 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 - 2*p - 1. Suppose -6*y + 76 = 22. Let r(i) = 13*i**3 - 4*i - 2. Calculate y*o(d) - 4*r(d).\nAnswer: 2*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d. Let n(o) be the third derivative of -o**5\/60 + 13*o**2. Determine n(c(s)).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 38. Let p(n) = 21 - 2 + 19 + q*n - 1. Is p(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/27)\/(6\/9). Suppose -2*l + 4540 = -2*v + 4562, 3*l = -5*v + 7. Which is the fourth biggest value? (a) v (b) 0 (c) x (d) 8\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 536*a**4 + 545*a**4 + a**2 + 0*a**2 in the form f*a**2 + d*a + v*a**3 + k*a**4 + t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 3*c + 2*c - 14 - 8*c + 14 - c - 2*c + 4*c + 2 - 2 - 2*c + (1 + c - 1)*(-2 + 2 - 2) - 2*c + 4*c - c + c - 5*c + 2*c - 2*c + 3*c + 4*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34ab + 7?\nAnswer: -34a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 248\/1612 - (-152)\/26 - 0. Suppose 2*q - 10 = -3*q. What is the greatest common divisor of q and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23412131 + 4022?\nAnswer: -23403104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -13. Suppose -5*c - 20 = -3*f + 2, r*c - 4 = -2*f. Sort f, 2, 0.\nAnswer: 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 755.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 35*g**3 - 5*g**2 + g. What is z(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/5 - (-2)\/(-5). Suppose 0*z + r*m - 176 = -z, 5*m = -4*z + 715. Suppose 3*n = -2*n + z. Calculate the highest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*i - 4*w - 40, -i + 37*w = 33*w - 34 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 317.5505 years?\nAnswer: 31.75505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 1001 = 7*y. Let j = -73 - y. Which is the closest to 2? (a) j (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10075 - 10074. Which is the closest to 9? (a) 1\/4 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2898.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(sqrt(175) - -4*sqrt(175)) - (4 + -1*sqrt(847) + (sqrt(847)*1 + -4 - sqrt(847))))*-5.\nAnswer: -430*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*y - 2*n - 2*n, 2*y - 30 = 2*n. Let w = y - 16. Find the second derivative of 4*h**2 + 6*h**2 - 10*h + 3*h - w*h**2 wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, 1 g, and 1 p when four letters picked without replacement from {m: 1, b: 1, v: 1, h: 1, g: 1, p: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 977819 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: What is the value of ((-6)\/(-10))\/(15\/450*-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 3*d = -26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 4*j - 14, -r = -7*j + 6*j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -17\/9*f**3 - f + 17\/30*f**5 + 1\/3*f**2 - 1\/18*f**4 + 2. Factor p(o).\nAnswer: 2*(o - 1)*(o + 1)*(17*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-2)\/(4\/(-2)). Let m be (-3)\/6*(x + -2). Suppose 2*c + 2*a - 10 = -0*c, 2*a = 2. Sort 3, m, c in descending order.\nAnswer: c, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 334\/11 - 2140\/77. Let o = 355 + -351. Is j < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7790, 7179, 6158, 4727?\nAnswer: 2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 327 - 28. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6065*2\nAnswer: 12130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 497630514 minus -142988?\nAnswer: 497773502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 849295467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/17 + 92*w\/17 + 90\/17 = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -14. Let w(x) = -2*x + o*x + 3 - 5*x. Calculate w(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - 3. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(4 + sqrt(272)*-1 - -6*sqrt(272)*-2 - (-4 + (sqrt(272)*4 + -1 - sqrt(272)))))**2.\nAnswer: -41472*sqrt(17) + 2509668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.51301516 to 3 dps.\nAnswer: 9.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1 (c) 4\/5 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y - 27*y - 2*y + 48*y**2 + 8*y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218\/3628123 or -1?\nAnswer: 218\/3628123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28034980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*a = -57*a - 557 + 1547 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/7308 and -37\/42.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 4:26 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(50) - sqrt(2))**2 - (sqrt(32) - sqrt(288)).\nAnswer: 8*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 542 - 1333 + 1505*t**3 + 333*t**3 - 1630 wrt t.\nAnswer: 5514*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2265067297 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449 + -387. Suppose -65*y = -q*y - 1017. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-8 + 220\/30 - (-26)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 391 and 11.\nAnswer: 4301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 1540*x**3 + 1542*x**2.\nAnswer: -2*x**2*(x - 1)*(x + 771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 3. Let d(w) = w**3 - 2*w - 1. Let z be d(2). What is x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**2 + 24*o + 217. Let d(l) = -9*l**2 + 21*l + 213. Calculate -8*d(y) + 7*h(y).\nAnswer: 2*y**2 - 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 949791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -4 + -21 + 21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + 13. Suppose -5*k - 2*f + 1484 = 0, 0*k - w*k - f = -891. What is k rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 619*k**2 + 1 - 36*k**2 + 1091*k**2 + 859*k**2 in the form c + n*k**2 + y*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -775*z + 597*z + 2670 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lox when three letters picked without replacement from oelfxlr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 32, -51, 3 in ascending order.\nAnswer: -51, -3, 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3\/4 - 108125*s**2\/4 + 584496715*s\/4 + 584604845\/4 = 0.\nAnswer: -1, 10813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -693*y**3 + 54057*y**2 - 234*y.\nAnswer: -3*y*(y - 78)*(231*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1826 + -1815. Sort 16, 1\/7, y in ascending order.\nAnswer: 1\/7, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 459 = -68*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/4)\/4 - (-581007 - -5). What is r rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(8*j + 5*j - j) + 0 + 6*j + 0)*(-1 - 2*j + 1)*(6 - 4 - 1).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4 + 22 - 2 + m. List the prime factors of g(15).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 4. Let n(u) be the first derivative of u - 364 + 1\/2*u**2. Let g = -1 + 2. Calculate g*f(r) - 2*n(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 1. Let b be 1\/1 - (0 + -4). Suppose 5*y + 4*g - 3*g - 107 = 0, g + 40 = 2*y. What is the remainder when y is divided by n(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -12 - (25 + -35)) + 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(75) + -1) + -1 + 6*(1*sqrt(48) - sqrt(3) - (sqrt(6)\/sqrt(32) + sqrt(3))))**2.\nAnswer: sqrt(3) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*g + 54, 3*g + 4*u - 27 - 2 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2000 and 1500?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885799*d**3 - 883124*d**3 + 1770653*d**3.\nAnswer: 1730*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -433*l + 299. Find s, given that -2\/3*s**3 + 8\/3*s + 2*s**l + 0 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((-14 - -27) + -47 - (-10 + 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4067.71 - 4068. What is the closest to u in -5, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:38 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80116 * -1.\nAnswer: -80116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1122 and 5478.\nAnswer: 93126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f*r**2*s**3 + f*r**2*s**2 - 8*f*r**2*s + f*r*s + 11*f*s**3 + r*s**2 wrt s.\nAnswer: -24*f*r**2 + 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3094508000 to the nearest 1000000.\nAnswer: -3095000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7344.25 weeks in seconds?\nAnswer: 4441802400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01313757688 to 4 dps.\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 = 3*r. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*o - 8 + 42, 4*i = -4*o + 40. Calculate the highest common factor of 266 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - m**2 + 7*m + 299. Does 51 divide u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**6\/24 - 11*t**5\/20 + 17*t**4\/8 - 23*t**3\/6 + 29*t**2\/8 - 7*t\/4 - 268. Factor z(l).\nAnswer: (l - 7)*(l - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p**3 + 4*p**3 - 11*p**3 + (2 - p + 3*p - 4*p)*(2*p**2 - 5*p**2 + p**2).\nAnswer: -15*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/36*(-6)\/32*(-112)\/21. Let l(b) be the third derivative of 16*b**2 + 19\/30*b**4 + 0 - 4\/75*b**5 + 0*b + f*b**3. Let l(j) = 0. Calculate j.\nAnswer: -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r - 67. Let o(d) = 3*d**3 - 5*d - 132. Calculate 5*j(g) - 2*o(g).\nAnswer: -g**3 - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43571.\nAnswer: 11, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1508544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:18 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10298836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10370 + -10371. Put x, -7, -0.1, 2\/11, -11 in descending order.\nAnswer: 2\/11, -0.1, x, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*m**3 - 4*m**5 - 35*m**3 + (-2*m + m + 2*m)*(0*m**4 - 2*m**4 + 3*m**4) - 4*m**5 - 3*m**5 + 5*m**5 + 2*m**3 - 2*m**5 - 2*m**3.\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 2\/39, 34, 1\/4, 1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*w = -51, -q + 5*w = 2*q - 31. Let l be 1 - 9\/(-4) - 11\/44. What is the least common multiple of (11\/1)\/(l\/6) and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(14\/(-10) + 1). Let h(s) be the second derivative of -s**5\/20 + s**4\/3 + 2*s**3\/3 + 7*s**2\/2 + 16*s. What is the units digit of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 19. Let r be w(-18). Let x be (42\/(-7))\/(2\/r). Is (7 - 4) + -1 - x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-24))\/((1\/40)\/(282\/(-235)))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 16 + 1)*(-2*v**4 + 2*v**4 + 2*v**4) + (-3*v**4 + 12*v**4 - 5*v**4)*(-3 + 3 + 2) to the form h*v**3 + l + x*v + o*v**4 + f*v**2 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 107?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 944815080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + 1 - 5 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*j + 2 = 0, -u + 4*j + 0 = -4. Which is smaller: 25 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1424*k + 22026. Give p(18).\nAnswer: -3606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 22 - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/6 + 7*d**3\/2 + 11*d**2\/2 + 1883*d. Solve w(z) = 0 for z.\nAnswer: -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v. Let k(c) = -19*c. Calculate a(k(t)).\nAnswer: -133*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 18*o**2 - 105*o - 6974. What is w(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 45, 155, 2 in decreasing order.\nAnswer: 155, 45, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.5, 0.0481, 5?\nAnswer: 0.0481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14784240 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -673 (b) -2\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.7329.\nAnswer: -1.2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - 107. Let q = 71 - v. What is the highest common divisor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = 0. Let h = 0 - p. Suppose -3*r + 2*r - d - 4 = 0, 3*r = d - 4. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4\/3, 5, 0.01 in descending order.\nAnswer: 5, 4\/3, 0.2, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -937, 279, -5 in decreasing order.\nAnswer: 279, -5, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612) + 0 + sqrt(612) + -1*(-4*sqrt(612) + sqrt(612)) + 0 + -1)**2.\nAnswer: -180*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 8. Let u(w) = w**3 - 9. Let b(x) = x**2 + 8*x + 1. Let o be b(-7). Let c(v) = v**2 - 8*v + 7. Let d be c(8). Calculate d*a(j) + o*u(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/47294 and -41\/2652.\nAnswer: 283764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5780*n - 7*n**2 - n**3 + 5768*n - 4 + 6. Let b be y(-5). What is the highest common divisor of b and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -24?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/17))**(14\/9)*((h\/(h*h**15))\/h)**(-1\/6) assuming h is positive.\nAnswer: h**(352\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44132 - 51137*f - 44132.\nAnswer: -51137*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990850 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213013114 + -32?\nAnswer: 213013032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -6 + 2 + -4 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 155583\nAnswer: 155583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*v + 192 = 14136 for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1 - -1) + (2 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/4 + 12*j**2. Determine b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-5))\/(5 + 1235650\/(-247125)). Does o = 7909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0621 (b) -1\/3 (c) -17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -76855249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 31 = -4*d, -2*d + 5*h + 34 = -3*d. Let x be 8\/6*d\/(-6). Suppose -x*n - n = 3*y - 9, 2*n = -5*y. Sort n, 3, -1 in descending order.\nAnswer: n, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/11 + 159*r**2\/11 - 6075*r\/11 - 19683\/11.\nAnswer: -(r - 81)**2*(r + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6075817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1.8. Let x = 39 - 43. Which is the closest to -0.1? (a) k (b) 4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:24 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2019155 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256 - 323*y - 113 + 298 + 257 wrt y.\nAnswer: -323","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -431 - -1811. List the prime factors of d.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 3*w**3 - 2*w**3 + (-52 - 62 - 60)*(2*w**3 - w**2 + w**2).\nAnswer: -349*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 190093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*(-66 + 74)*(15\/2 - 5).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8 + 4. Suppose 4*n + 10 = z, -i*n - 2*n = 2*z + 32. What is the remainder when (-361)\/(-114) - (-1)\/z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241 by -1.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 699.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x = 40*x + 32. Suppose -x*i + 71 - 7 = 0. Solve 5*q - 3*y = 22, 3*q + 2*y - i = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 17 + 5)*(2 - 2 - 3*w)*(2 - w - 2) to t*w + q + k*w**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 5. Let f(p) = 68 + 383*p + 371*p - p**2 - 734*p. What is the remainder when f(22) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134024\/21 + 6386. Calculate the common denominator of z and 4\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2*y + 2594000*m**2 - 3*m + 7137217*y**3 wrt y.\nAnswer: -2*m**2 + 21411651*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f**5 + 61*f**4 - 230*f**3 - 1572*f**2 + 360*f.\nAnswer: f*(f - 5)*(f + 6)**2*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 524, 506, 446, 320, 104, -226, -694, -1324?\nAnswer: -2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxkfmkam. Give prob of sequence fa.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from kktkkkkttkkkkktkkt.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 12. What are the prime factors of (-1089)\/(-44) + x\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 3*m**3 - 2 - 1\/4*m**4 - 5*m - 3*m**2. Is g(7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -108. Let x = -72 + p. Solve x*i = 5*c - 4, -5*c + i + 2 = -0*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-954) + 614737\/30634 + -20.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 7*j**3\/6 - 41*j**2\/2 + 8*j - 10. Let w be y(7). Calculate the highest common divisor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let t(u) = -19230*u. Determine f(t(l)).\nAnswer: -19230*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 - 224*j + 224*j.\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212121 (base 3) to base 12.\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:50 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 11:40 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n**17)\/(n\/n**2)**(-3\/11) assuming n is positive.\nAnswer: n**(563\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2361\/(-6) + -2)*(-9)\/(-12). Let d = y + 297. Sort 5, d, 0.4, 4 in descending order.\nAnswer: 5, 4, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -135.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245829*a*j**2 - 333*a*j*l**2 - 11*a*l - 12*l**2 - 361696*l wrt j.\nAnswer: 491658*a*j - 333*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-3) - (-2)\/(-6). Suppose 0 = -5*s - 2*h - 9 + 69, 2*h = u*s - 30. Let d = s - 14. Put d, -5, 5 in ascending order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:50 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 870 = -160*l - 32*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*p = 37, 17*q - 22*q = -12*p + 40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2157, -2194, -2237, -2286?\n\"Answer: -3*w**2 - 28*w - 2126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*c**3*j**2 + 6991*c**3 - c**2 - 1002557*c*j**3 - 18*c - 3 wrt j?\nAnswer: -24*c**3*j - 3007671*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611\/34 smaller than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prifh. What is prob of sequence ipi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-50)*6\/(-15)*-5*5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/3 - 172*i**2\/3 + 102674*i - 1222680 = 0. What is i?\nAnswer: -443, 12, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 143734*i**2\/3 + 574915*i\/3 + 239550.\nAnswer: (i - 143730)*(i - 5)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 1.2113.\nAnswer: -0.109017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/271 - -1089\/1355. Factor -2\/5*l**2 - 2\/5*l + g.\nAnswer: -2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 180528, 361123, 541720, 722319, 902920?\n\"Answer: o**2 + 180592*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Let u = v - -10. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6 - -3) + 1)\/(-2). Let b(g) = 24*g - 648. Let d be b(27). Let m = 5 - -20. Solve 0 = -5*z - d*z - 4*y, p = -5*y + m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/((-77)\/(-108)))\/(15\/(-210)). Let y be (-283)\/(-4) + (-2)\/(-8). Let j = y - 47. Calculate the highest common divisor of j and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5616*w + 410185. What is t(73)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 28de?\nAnswer: 28dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1197*r + 51656. Determine h(-43).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -484.329 - -484. Let w = -12.671 + h. Which is smaller: -7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1343*-0.13.\nAnswer: -174.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 7 (c) -0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 888, 1670, 2440, 3192, 3920, 4618, 5280?\nAnswer: 5900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 60, 96, 184, 342?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 11*c - 22. Give h(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11*r**(-25))\/(r**(2\/25)*r**(7\/3)) assuming r is positive.\nAnswer: r**(-1231\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 83, -2\/47, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -k + 3*f + 85, 5*f = 20. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2602, -5562, -8522, -11482?\n\"Answer: -2960*k + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1725 - 8633\/5. Let p = 3 - 8. Sort k, 3, p in increasing order.\nAnswer: p, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97566103, 97566102, 97566101, 97566100?\n\"Answer: -z + 97566104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 2*v**2 + 32*v + 53. Let a be n(-6). Solve 2*p = y + 7, 2*y - 6 = a*p - 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 - 0.8. Let p = f + 3. Suppose 4*w - 2*k + 6 = 0, 0 = 4*k - 4. Which is the closest to 0.1? (a) w (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = -4*s, 4*s - 28 = -0*j - 4*j. Suppose s*m + 1280 = 2*q - 195, 4*m = 12. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -833535960 + 0.3?\nAnswer: -833535959.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 690?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25740435367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.07 + 3.4. Let s = d - 1.33. Which is the nearest to -8? (a) -1\/2 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 47, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -35 + 38. Solve 5*g + 4*w - 1 = 0, 0 = -3*g - 0*w - a*w + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145807 - 51802. Suppose -h = -3*l + 140995, -l + w = l + h. What is l rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + y = -66, -2*m + 3*y + 38 = -0*m. Suppose 4*o + m = 8*o. Let c(j) = 2*j**2 - 5*j - 3. Calculate c(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2245, -2214, -2183, -2152?\n\"Answer: 31*h - 2276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11200 (base 3) to base 5\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 4*f - 5. Let m be c(-4). Let b(n) = -2517*n + 22659. Let z be b(9). Calculate the highest common divisor of m and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251 * 2345\nAnswer: -588595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6795)\/3775*4\/6*1.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:10 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3058 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0.3, 53, -2\/7 in increasing order.\nAnswer: -2\/7, 0.03, 0.3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1325*i + 13236 + 79567 = -14582 - 1265 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7*(6 + -12))\/3. Solve -2 = 12*a - f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.3 - -41.\nAnswer: 61.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 25*f + 102. Determine d(-17).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from frzffrxxxffrrrzxfr?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/15 or 172613?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24910, 49806, 74690, 99562, 124422, 149270?\n\"Answer: -6*h**2 + 24914*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2. Let z be n(-1). Let c = 7 + z. Suppose 0 = -4*r + 7 + 37. Calculate the remainder when r is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57151 is divided by 6323?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.901 and 0.5.\nAnswer: -14.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 28*d**3\/3 - 9*d**2\/2 + 25*d + 11. List the prime factors of s(4).\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.024 - 142.\nAnswer: -141.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n - 5 = -23*n. Suppose -n*t + 5*j + 8145 = -0*t, -5*t + 3*j = -8135. Suppose -5*q = -3*h - t, 2*q - 250 = 2*h + 402. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141096 divided by -888?\nAnswer: 5879\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**2 + 411*p - 3843. Calculate j(57).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 1231.\nAnswer: -12310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 33*m**2 + 59*m + 6. List the prime factors of n(-22).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 6*c - 6*c - c. Let p be l(-1). Solve -p = 5*b - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16939594459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - -4) + 1*2. Let h be (-4)\/q*(-3)\/(-1). Suppose 3*p + 18 = 45. Solve 4*r - 5 - 1 = -h*i, 0 = 3*i - p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 164, 361, 616, 917?\n\"Answer: -2*g**3 + 47*g**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2904683, 2904691, 2904703, 2904719, 2904739?\n\"Answer: 2*s**2 + 2*s + 2904679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 56*f**2 - 24*f - 19. Is g(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 3)*(3*r + 2*r + 2 - 7*r) - r - 3*r + 6*r + (3*r - 6*r + r)*(3 - 4 + 3) - 2*r + r + 2*r.\nAnswer: 11*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(34\/(-340))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13598*u**2 + 27126*u**2 - 13524*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 23. Let h be (-2)\/s + (-3278220)\/21. Let j = -22106 - h. What is j rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(500) + (4 + sqrt(500))**2 - sqrt(500)) + 6*(2 + sqrt(500))*-5.\nAnswer: -1087 - 460*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1344, 5319, 11870, 20991, 32676, 46919, 63714, 83055?\nAnswer: 104936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -125, -5, 5, -4 in decreasing order.\nAnswer: 5, -2, -4, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6328301 rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196648?\nAnswer: 2, 47, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3332 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 798, -187\/24, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 7*g**2 - 3. Determine q(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -25. Let p = 14 + i. Calculate the remainder when 11 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 1. Let k(b) = -5*b - 33. Let w be k(-6). Calculate d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 89, 88, 89, 92, 97?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*t**6 - 10*t**4 - 41*t**2 + 40*t + 2?\nAnswer: -3960*t**3 - 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(3\/31)\/(p**(1\/2)*p**1) assuming p is positive.\nAnswer: p**(-81\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/25 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1294*v + 1370*v = -3004*v + 3080 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 782, 50, 0.2, 1\/4?\nAnswer: 782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-6))\/2*493\/((-18241)\/222)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -570 (base 8) to base 4.\nAnswer: -11320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z + 3*z + 0*z)*(-1 + 2 + 1)*(3 + z**4 - 3) - 3*z**5 - 6*z**4 + 6*z**4.\nAnswer: z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1375932335 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.002 + 0.049. Let o = a - 0.0469957. What is o rounded to seven decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-6))\/(64\/(-48)). Suppose 0 = 4*r - 2*r - 10. Let d be (3\/5)\/(1\/r). Solve -l - 10 = d*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -197*d**2 + 2*d + 1. Let r be c(-1). Let t = -83 - r. Suppose 0*q = q - t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + ((sqrt(1900)*-1 + -2 + (-2 + sqrt(1900) + sqrt(1900) + 5 - sqrt(1900)))*-5)**2*-3.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 337 = 2*q. Let z be 45\/q - (-79499998)\/6. What is z rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 1014 + 606 = 2*i. What is the remainder when 158 is divided by i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 23*z**2 - 20*z - 48. Let d be b(22). Let c(k) = -14 - 15*k + 0*k - k + 2*k. List the prime factors of c(d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 0\/(-4))\/(-1). Suppose -j*t - 204 + 1014 = 0. Suppose m - 60 = n, -5*m + t + 108 = 5*n. What are the prime factors of m?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 375, 384, 395, 408, 423, 440?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -47*s**4\/2 + 19*s**2 + 96. Find the second derivative of r(w) wrt w.\nAnswer: -564*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -82 + 17?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {x: 1, r: 1, j: 2, t: 2, i: 1, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1338665437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-140)\/510*-17 + 3\/9. Sort 35, 8, j.\nAnswer: j, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 4*t - 1176. Let j be -2 + t\/(-24) - 22\/(-6). Solve -7*r + 3*r + j = x, 3*r - 5*x - 26 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 44*w + 430. What are the prime factors of h(46)?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 423*w + 17138. Give m(-35).\nAnswer: 2333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -412.379 * 69.1\nAnswer: -28495.3889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136685\/66 + 2071. Let o(x) be the second derivative of 18*x + 1\/33*x**3 + h*x**4 + 0 + 0*x**2. Find k, given that o(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*p**4)*(36 + p - 36) + (-27 + 27 + 79*p**4)*(-2*p - 2 + 2).\nAnswer: -156*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105.1 - -3.1. What is the third smallest value in -5, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34453\/5 - -6891. Let o be (3\/16)\/((-27)\/12). Which is the smallest value? (a) o (b) g (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**12)\/(s**(-2\/37)*s))\/(s**(-20\/9)*s\/((s\/((s**30*s)\/s*s))\/s)*s))**(-41) assuming s is positive.\nAnswer: s**(255635\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:10 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s + x - 13 = 0, -11 = -4*s + 5*x. Let o(w) = -w**3 + 5*w**2 - w - 2. What is the remainder when 37 is divided by o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4, 5*j + 103 + 63 = 3*z. Let t = 74 - z. What is the greatest common divisor of 44 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 7\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d05 - -5?\nAnswer: d0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -64. Let n be 6\/2 - (v - -2)\/3. What is the second derivative of 6 + 40*l + n - 9 - 20*l**3 wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16431965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + p - p + 7*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 4*l + 5. Give p(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 92446593 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/6 + 2\/12. Let g be (3 - (-13)\/l)*-2. Solve -5*i = d + g + 1, 3*i + 15 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1688?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 - 260. Solve c - 3*a = -0*c - 11, -5*c - 5*a = -o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822019740?\nAnswer: 2, 3, 5, 13700329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 + -66. Find the first derivative of -4*p**2 + 2*p**2 - 29 + i wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = n - 1. Suppose 4*h = 24 + n. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 58 + 0*k + 2*k.\nAnswer: 3*k - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:58 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1499 + -29963\/20. What is the common denominator of -101\/6 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 2*v + 1. Let b(l) = 232*l**3 + 6*l**2 - 11*l - 6. Calculate b(s) + 6*i(s).\nAnswer: 226*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 118171377 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3194229\nAnswer: -9582687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1365, -1379, -1403, -1437, -1481?\nAnswer: -1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/3, 2\/23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let l(h) = 15*h. Let m(b) = b. Let g(z) = -z**2 + z - 13. Let f be g(5). Suppose -3 + 1 = -r. Let i(v) = f*m(v) + r*l(v). What is i(w(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/59 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 3. Let a(g) = g**3 + 9*g**2 - 7. Suppose 4*k + 6 = -z + 1, 2*z + 2*k + 16 = 0. Let h be a(z). What is u(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121596 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31)\/40 + 9\/24. Sort c, -5, -1\/3 in decreasing order.\nAnswer: -1\/3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) - (-1150436)\/49. Let c = 3774 + x. Suppose 5*h - 130994 = 3*y, 3*h + 2*y = -c + 105856. Round h to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1531?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824908 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329316880.\nAnswer: 2, 5, 347, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 369 - 372. Let t = 0.05 - -0.15. Which is the second smallest value? (a) o (b) -5 (c) 4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - r - 2. Let f(n) = 10*n - 62. Let c be f(6). Let a(o) = 4*o**2 + 2*o + 5. Calculate c*a(l) - 5*k(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9605594*x**2. Let u(v) = -6*v. Determine u(j(t)).\nAnswer: -57633564*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 14*a + 12. Let y be k(15). Suppose n + 6 = 2*n. Let u(h) = h + 5 - n + 4. Calculate u(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 4*u**2 + 4*u + 1. Let w be i(-3). Let a = 6 - 6. Is w at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 176\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*m + 252, -q = -3*q + 5*m + 114. Let o(f) = 5*f - 6*f + f**2 + 3*f + 3*f - 9. Calculate the remainder when q is divided by o(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 - 21365804*q + 57062197570802 = 0. Calculate q.\nAnswer: 5341451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 48. Let o = 15 + l. Let h be (o + -5)\/(-1)*(8 - 4). Solve 3*m = -h + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -135 and -11.8452?\nAnswer: 1599.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 33*m + 20. Let d be p(-8). Solve 2*x = -2*x + d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 6576.\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17914 times 0.03\nAnswer: -537.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*o + 6 + 14, -2*o - 8 = 3*c. Suppose c = -5*t + 4*g + 570, 10 = -4*g - 10. What are the prime factors of t?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-418)*10304\/23184?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q - 611. Let k be a(79). Solve 0 = -157*x + 164*x + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/45 - 120770\/(-150). What is the hundreds digit of q + (-10 + 3 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/2*(-8)\/(-12). Which is bigger: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 651 + -660. Calculate the smallest common multiple of 27 and (-41)\/6*t + 3\/(-2).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(396) + (sqrt(396) - (1*sqrt(396) - sqrt(396))))**2.\nAnswer: 7915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-11) - (-580624)\/484. Suppose s = -13*y - 1608. Are y and -215 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.34, 1\/10, -2, -1\/9, -196, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 19*h**2 + 6*h - 1. Let x be k(-6). Let c(m) = -5*m**3 - 3*m**2 - 4*m - 2. Let b be c(x). Solve 4*n - 12 = -b*g, -3*g = n - g - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 176. Let y(x) = -95*x + 201. Let t(h) = -h + 1. Let z(k) = u*y(k) - 5*t(k). Find the first derivative of z(l) wrt l.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -935*j**2 - 265 with respect to j.\nAnswer: -1870*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-5)\/(-10) - (-85)\/34. Suppose 3\/4*z**4 + 3\/4 - 3\/2*z**2 + 0*z**o + 0*z = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/20 + 77*r**4\/6 + 3040*r**3\/3 + 5776*r**2 - 4934*r. Factor o(b).\nAnswer: (b + 2)*(b + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**3 - 9*b**2 - 157*b - 3. Calculate o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from sepfppoppppoppsfosp.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let b be 32\/(-20)*(-30)\/4. Let p be (-10)\/(-4) + 6\/b. Let s(o) = o + p*o - o. What is v(s(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -21628875 to the nearest one thousand.\nAnswer: -21629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 + 1 + 1. Suppose -o*u = u - 18. Let l = 7 - u. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9724380 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -273*r**5 + 4629*r**4 + r**3 + 18585742*r**2?\nAnswer: -16380*r**2 + 111096*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-5\/4)*g**(1\/5)\/g)\/(g**(-2\/33)*g**(-7\/4)))**(3\/8))**13 assuming g is positive.\nAnswer: g**(-1027\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431638.8 nanometers to kilometers.\nAnswer: 0.0000004316388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 4) to base 13.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 3, 0 = 4*j - 0*j + 5*f + 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -90?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2111*k**2*o**3 + 2*k**2 + k*o**3 - 102*o**3 - o**2 - 10 wrt k?\nAnswer: 4222*k*o**3 + 4*k + o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 395\/7?\nAnswer: 395\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 9*d. Let v be j(-5). Does 25 divide ((-9072)\/v)\/(-9) + (-2)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:03 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 2*o)*(-5 + 2*o + 5) + (-5 + 5 + 20*o)*(7 - 10 - o + 4*o).\nAnswer: 64*o**2 - 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142 - 17*r - 142)*(1 + 1 + 0)*(-1 - 1 + 0).\nAnswer: 68*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -m - 5*m. Suppose 961 = 40*b - 9*b. What is the remainder when m is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -281 and 57316?\nAnswer: -16105796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 3*f + 3. Let m(k) be the first derivative of 4*k**3 + 4*k**2 + 8*k + 54. Determine -8*a(s) + 3*m(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**8*d**(3\/10) assuming d is positive.\nAnswer: d**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - n + 3)*(-2 + 0 + 0) + (0*n - 3*n + 4*n)*(-5 + 15 + 5))*(n**4 + n**3 - n**3).\nAnswer: 17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8579 divided by -7?\nAnswer: -8579\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-102))\/((-288)\/108)*556\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 49, 1, -26, 86 in descending order.\nAnswer: 86, 49, 1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 + -175.1. Which is the closest to -2? (a) 3\/8 (b) 1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 468*g**2 - 6800*g.\nAnswer: -4*g*(g - 100)*(g - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -1\/4*h**4 + 0*h**3 + 0 + 73*h - 5*h**2 + 23\/10*h**5. Find the third derivative of g(z) wrt z.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -7)\/((-2)\/(-3)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -8 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-327 + 9)*66\/9. What is the hundreds digit of (b\/11)\/((-2)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 687078 divided by -931\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.29 (b) 1.6 (c) -2\/17 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/16 and 17\/254.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n, w - 24 - 21 = -4*n. Let m = w + -33. Let d = 98 - 68. Calculate the remainder when d is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 67.\nAnswer: 15\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. What is k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13847 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19276927 and 65977.\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 352\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88)\/(-33)*-19*(75\/(-20))\/5. Solve 32*l - 48 = z*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -40. Determine s so that k*s**4 - 2*s**5 + s**5 + s**2 + s**3 - 20*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-11)*q**(1\/7)*((q*(q\/(q\/(q**(2\/11)\/q)))\/q)\/q*q)\/q*(q*q\/(q\/(q**(-12)\/q)))\/q assuming q is positive.\nAnswer: q**(-1900\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1924, -6393, -13796, -24133, -37404, -53609?\n\"Answer: -1467*o**2 - 68*o - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 18*l + 8. Let t be k(9). Let o = -29 - t. Suppose 2*h - o = -16. Is 44\/3 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) 39.159 (d) -1\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n - 316. Calculate a(23).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 11*i - 4. Let o be p(-10). Let g = o - -14. Solve 0 = -2*k - g + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:57 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73839428.\nAnswer: 2, 13, 43, 33023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/9)\/(r\/(r*r*r**(4\/11)\/r))*r**(-30)*r*(((r**(8\/3)\/r)\/r)\/r)\/r*r assuming r is positive.\nAnswer: r**(-2890\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -39*t + 13. Let b(x) = -19*x + 6. What is -13*b(m) + 6*c(m)?\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/534 - -2087\/3738. Factor 10\/7*x**2 - 2\/7*x**4 - 2\/7*x**5 + 6\/7*x**3 + y*x + 0.\nAnswer: -2*x*(x - 2)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {u: 3, w: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.3 - 42.3. Which is the smallest value? (a) -0.5 (b) 0.1 (c) -17 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + 143*i**2 + 134*i - 4107. Give c(48).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 13)*((-8)\/(-4))\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -780*y**2 - 6*y - 92 wrt y?\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, -17, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 196*d**4 - 1087*d**3 + 1263*d**2 + 718*d + 67. Let f(r) = -r**3 + r**2 - 2*r + 1. Let l(u) = -5*f(u) - n(u). Find x, given that l(x) = 0.\nAnswer: -2\/7, -1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 90 + 0 = 0. Let g be (-2)\/t + 14\/(-63). Is g at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-35))\/(1 - 2). Let l = 5213\/3 - 1738. Put l, -0.2, k in decreasing order.\nAnswer: k, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2. Let y(x) = -7*x + 4. Let c = 11 - 9. Let j(n) = c*y(n) - 4*o(n). Let g(i) = -2*i**2. Give j(g(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*s - 3. Let l be (4\/(-3))\/(4\/(-18)). Let a(m) = -m + 2. Let w(p) = -1. Let r(y) = l*w(y) + a(y). Calculate r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1065402 and 49\/942?\nAnswer: 1065402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*l - 638 = 0, -4*k + 2*l + l + 2541 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(605)*2 + sqrt(5)))**2.\nAnswer: 7\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -186*u**2 - 2*u. Suppose 6 - 10 = 2*k. Let d be a(k). What is d rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 1663 (c) 0.5 (d) 0.013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 3 - ((-12 - (-3 + 1)) + 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2886616.\nAnswer: 1\/2886616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o - 2*h, -2*h = 4*o - 5*h - 9. Let v = 1 + o. What is the second derivative of 0*f**2 + 2*f**2 - v*f - f**4 - 2*f**2 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-6)\/4)\/((-3)\/6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*p + 17038, p + 25625 = 1148*w - 1145*w. List the prime factors of w.\nAnswer: 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**3 - 3*m**3 - 5*m**3)*(3 - 3 + 1)*(0 + 2 + 0) - m**3 + 3*m**3 - m**3 in the form d*m**3 + g*m + p*m**2 + w and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2555 + 20945 = 277*z - 7925. What is the highest common factor of 13015 and z?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 11220?\nAnswer: -12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2695) + sqrt(2695) + (sqrt(2695)*4 - sqrt(2695))))\/(1*sqrt(5)*4 - sqrt(50)\/(sqrt(10)*-2)) + 4.\nAnswer: 4 + 70*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1201002211010 (base 3) to base 12\nAnswer: -3791a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 3, a: 1}. Give prob of picking 1 a and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 9)\/(2\/(-2)). Do d and -1\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 14*g - 9*g, -2*b + 148 = 4*g. What is the smallest common multiple of 17 and b?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3*y**3 - 15*q**3*y**2 - 13*q**3 + 4*q**2*y**4 + 2*y**4 wrt y.\nAnswer: 12*q**3 + 96*q**2*y + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 278 and 136526.\nAnswer: 18977114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from nnnnnnlnnnlnn.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*q + 0 = 1, 0 = q + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 0*f**3 - 54 + f**3 + 26 - f + 85*f**2 to p*f + i + d*f**2 + h*f**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16318847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5324))\/((sqrt(72)\/sqrt(2))\/sqrt(9)) + (2*sqrt(99)*2)\/(1*sqrt(9)*-5).\nAnswer: 106*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -24. Suppose -2*p - 17 = -3*a - 2*a, 0 = 4*p + 5*a - 41. Suppose b + n + 0*n = 0, -p*b - 5 = -n. Put b, 4, f in descending order.\nAnswer: 4, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 1 - -41) + 18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*u - 3*a, u = 2*a - 28 + 5. Let l(p) = p + 12. Let d be l(u). Let h be 36\/10 + d\/5. Calculate the greatest common factor of h and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 12*u + 3. Let w be b(-12). Put -4, -1, w, 5 in decreasing order.\nAnswer: 5, w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -16*j**2 + j**2 - j**3 - 1 + 13*j**2. Let o(v) = -2*v**3 - 3*v**2 - 2. Let x(g) = -3*o(g) + 4*z(g). Give x(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - (-4 - (-572)\/(-4)) - -2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4*h + 1 = 4*v, -2*v - 2 = -3*h. Let r(p) = p**2 - 4*p - 3. Let z be r(v). Suppose q + 0 = 3*f - 21, f + z*q = 14. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 9*p**2 - 8*p + 5. Let u be f(-8). Suppose -5*z = u - 25. What is the lowest common multiple of (1 + -4 - -3) + z and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4567 = -6*x + 17993. What is the lowest common multiple of 4 and x?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1543*p - 1607*p = 384 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21465229 - 5?\nAnswer: -21465234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose 0 = -z*o + 4*o - 15764. Suppose t + 5*w - 384 = o, -3*w + 15 = 0. Round t to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 7 (c) 5 (d) -12 (e) -2 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4 - 32*t + 76*t**2 - 34 - 2. Let b = -20 + 52. Let g(i) = -7*i**2 + 3*i + 3. Determine b*g(o) + 3*v(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 i when four letters picked without replacement from {n: 3, i: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1680 + -1676. Let o be (-864)\/(-2)*(-2 - -3). Suppose -o = -10*q + z*q. Calculate the remainder when q is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -6. Let z = -31.7 - s. Sort -1, -0.02, z in increasing order.\nAnswer: -1, -0.02, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/42)\/((-3990)\/(-245)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1560*k**2 + 459*k - 215*k - 247*k as d + r*k**2 + g*k and give r.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h**3 + 184*h**2 + 167*h - 201. Give p(-11).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 357*q + 359*q = -37, -4*b = 6*q + 72 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -1) + (5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 x when three letters picked without replacement from {h: 1, o: 1, q: 1, x: 4, b: 6, t: 2}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:35 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 4)*(3 + 0 + 0 + r)*(3*r - 2*r - 4*r).\nAnswer: -27*r**2 - 81*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 27533 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 41*z**2 + 133*z - 20. List the prime factors of y(-7).\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11310, 11289, 11298, 11349, 11454, 11625, 11874, 12213?\n\"Answer: 2*w**3 + 3*w**2 - 44*w + 11349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 5*x + 25180 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v**2 + 47*v**2 - 26*v**2)*(1 - 5 + 2).\nAnswer: -110*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2*j - 2*c + 3, 0 = -2*j + c + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 4. Suppose 2*d + 4 = -3*p, -5*p + 2*d + 5 = 3*d. Suppose 2*t + p*t = x + 9, 2*t + 8 = -2*x. Let z(n) = 2 - 1 - 7 + 3*n. Give x*z(k) - 8*s(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5138889?\nAnswer: 3, 7, 107, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 855, 3591, 8161, 14571, 22827, 32935?\nAnswer: 44901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 1 - (-32 - (-28 + 25 + -21)) - 23.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/7))\/(m*m\/(m**6*m*m*m*m))*m**(2\/15)*m\/m**(-2\/29) assuming m is positive.\nAnswer: m**(30631\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/13 + 8561230*i**3\/13 + 7244102*i**2 + 162662970*i\/13 + 77050872\/13 = 0.\nAnswer: -4280604, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-25)\/(-4))\/(39\/(-52)). Suppose 5*p - x*n + 6*n = 3716, 2*p = 2*n + 1496. What are the prime factors of p?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951632639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 544?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.785 + 1042.415. Let c = j - 1045.1995363. Round c to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 16*v**2 - 2*v - 20. Does 12 divide c(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -0.134.\nAnswer: 0.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-5))\/(24\/280))\/(2\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 4, -5 in descending order.\nAnswer: 19, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 - 123. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6859*m - 2281*m - 2288*m - 2289*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34545.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - t = -4*t - 735, 0 = -4*u + t - 605. Let d = -180 + u. Calculate the lowest common multiple of d\/12*4\/(-5) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 27*b - 17*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6009 and 43\/4782?\nAnswer: 9578346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + -3 - 1 - (-14 + 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -25*a - 20. Calculate the least common multiple of 10 and (15\/(-15))\/(2\/a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away -16.5?\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/7)\/d)**(-15))**31)**(-1\/16) assuming d is positive.\nAnswer: d**(-2325\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*r + 11953 = 1537*r + 480. Let f(j) = j**2 + 1. Let h be f(-1). Let v be 7\/(h\/(14\/1)). What is the greatest common factor of v and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.049303242892 and 18?\nAnswer: 17.950696757108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 6 = -3*m. Suppose m*v - 3*v = 2*r - 35, 0 = -r - 4*v + 35. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 + j + 3. Let t(k) = -k**3 + 6*k**2 - 4*k - 8. Let f be t(4). Is y(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3 - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 403*v**4 - 53*v**2 + 53*v**2)*((2 + 2 - 5)*(4*v + 0*v - 2*v) + (0 + 0 + 2)*(v + 5*v - 2*v)).\nAnswer: 2418*v**5 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f**2 + 3*f)*(f**2 - 10*f**2 - 2*f**2) - 8 + f + 8 + 9*f**4 + 2*f**3 - 2*f**3 - f**4.\nAnswer: 19*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6072 take away 93?\nAnswer: -93.6072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119522, -239043, -358564, -478085, -597606, -717127?\nAnswer: -836648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 258714, 258731, 258830, 259053, 259442, 260039, 260886?\n\"Answer: 7*r**3 - r**2 - 29*r + 258737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 801600.5435 rounded to the nearest 10000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 7*y**2 - 3. Let l(i) = i**3 - 67*i**2 - 356*i - 294. Let q be l(72). Give a(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5868969 by -3.\nAnswer: -1956323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18432092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 + -55. Is 30 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5696.7 rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1635 (base 7) to base 12\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = k + 5*a, -a = 0. Calculate the remainder when 11 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77\/8 - 3. What is the common denominator of -28\/17 and a?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -39. Solve -7*t + 2*t = x + 18, -x + 5*t + 12 = a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25165 + 50333 - 26*h - 25168.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 - 1. Let w(p) = -6*p**3 + 2*p**2 + 3. Let y(u) = 3*d(u) + w(u). Let m be y(-1). Let b = m + 3. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 2*c. Let z be k(-2). Suppose -2*h - 3*d = -h - z, 3*h + 2*d - 80 = 0. Solve -4*g - 29 - 11 = -5*p, -p + h = -4*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30359 + -30405.078. Let a = b - -46. What is a rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -7.88. Let i = q - -0.02. Let o = -0.3 - i. Put 1, o, -5 in descending order.\nAnswer: 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 8. Let n be b(5). What is the second derivative of 3*w**n - 9*w + 25*w + 13*w wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 172150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5001 (base 6) to base 11\nAnswer: -8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 332 - 334 = 0. Which is the third biggest value? (a) -12 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/12 - c**4\/12 - 2*c**3\/3 - 196*c**2. Let t(q) = -5*q**2 - 2*q - 5. What is 5*s(g) - 4*t(g)?\nAnswer: -5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (855\/(-78))\/3 + (-116)\/(-754).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, n: 1, g: 1, i: 2}. Give prob of picking 1 x and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082 is divided by 537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Let n = -4 + c. Sort -0.2, -2\/3, n in decreasing order.\nAnswer: n, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23.8943 and -2010.\nAnswer: -2033.8943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114066420239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1458*n = 1460*n - 6, 3*c + 3*n - 3 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 884 = 3*o, 5*h = -2*o + 1105. List the prime factors of h.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 81.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2199085.\nAnswer: -2\/2199085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 11. Let y be g(10). Let x(b) = 2*b - 16. Let z be x(y). Suppose z*t = 5 - 13, 142 = 5*o + 2*t. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510.038234 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36 + 20 + 178*u - 21 with respect to u.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 4*u**2 - 4*u + 5. Let w be q(-5). Suppose w = 2*i + 1 - 15. Let t(o) = i - 7 - 2*o. Let r(a) = -a**2. What is r(t(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 5*l**3 - 2*l**3 + (-3*l**3 - 2*l**3 + 4*l**3)*(2 - 2 + 12) to the form d*l**3 + g*l**2 + y + b*l and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 15610 + 16310 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-50)\/24 + 98\/56).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {y: 1, u: 4, p: 6, x: 1, i: 4, f: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 - 7*l**4\/12 - l**3 + l**2\/2 - 6*l. Calculate q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b = 33*b - 30 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 27 = -5*o, j + 25 = 3*j + 3*o. Suppose 2*z - 4*d + 8*d = 15438, -z + 5*d + 7705 = 0. Suppose 6*c - j*c = -z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 63 = -x. Suppose x = -0*u + u. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 37 + 38 - 19*p**2 + 30*p + 22*p**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 4. Let u(j) = -10*j - 9. What is the remainder when u(w) is divided by -2*7\/((-14)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 3*q**2 + 5*q - 1. Let x be (1 + (-2)\/(-2))*2. Let p be h(x). What is the units digit of p - 3 - (-1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/13 - 72*z**3\/13 + 480*z**2\/13 + 3200*z\/13.\nAnswer: 2*z*(z - 20)**2*(z + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + 12 + (0 - 25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/6*20\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605345?\nAnswer: 5, 13, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3568387 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 119 = 3*x, 3*x + 31 = 4*q - 34. Calculate the highest common divisor of q and 30176.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 877, 1752, 2625, 3496, 4365, 5232, 6097?\n\"Answer: -o**2 + 878*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/17 + 1534*c**2\/17 - 6168*c\/17 = 0. Calculate c.\nAnswer: -771, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 21*l + 31*l + l**2 + 16*l + 478 - 118 - 16*l. Let m be b(-46). Suppose -17 = 4*k - 101. What is the greatest common factor of k and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.34 - -6.74. Which is the closest to -0.1? (a) -2 (b) 1\/5 (c) 20 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-2)\/(-12)). Suppose 0 = -2*k - 5*d - 18, 0 = 3*k + 2*d + z + 3. Solve 4 - k = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 88741190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-255)\/(-4))*-11*(-14)\/(-308)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 59*d - 32*d. Suppose -7*m + 2*m = d. Which is the third biggest value? (a) m (b) -1 (c) 5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 5 = -9*k. Let j(y) = -y + 4. Let x = 5 + -8. Let i(p) = 3*p - 8. Let q(b) = x*i(b) - 5*j(b). Calculate q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322977842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u**3 + 4*u**2 + 7. Let i(b) = -6*b**3 - 2*b**2 - 3. Let w(f) = 9*i(f) + 4*z(f). Determine w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 3*l**3 + l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose -s*h = -0*h - 6. Suppose 0*g + 4*g = j + 7, h*j - 4 = -g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 523757277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18 = -3*l, 3*l - 12 = -2*a + 9. Suppose -v + 5*j = l, 3*v + j - 26 = -9. Put 6, v, -5 in descending order.\nAnswer: 6, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/5 + 6\/(-15). What is the third derivative of -2*a**3 + 4*a**2 - a**2 - 5*a**n wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 + 4529*l**2 + 6 - 4529*l**2.\nAnswer: 9*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - l + 10, -3*j + 3*l + 12 = 6*l. Suppose 2*d - 3*d - 54 = -3*p, 35 = j*p - d. Find the first derivative of 5*x + 36 + p - 6 wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3669 + 3669 - 95*x.\nAnswer: -95*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 - 242. Solve 5*c = 4*h + 21, -c + z*c = 4*h + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.91 - -0.09. Let o = d + -8. Let w = 4.6 + -5.1. Which is the closest to o? (a) w (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 6 + 0 + 3 - z**2 in the form n*z + g + r*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqy when three letters picked without replacement from rkyqqy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 20. Let q be (-27)\/27 - (-7 + 0 + 0). Calculate the remainder when 501 is divided by j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/9, 6, 0.3, 1\/3 in increasing order.\nAnswer: 0, 2\/9, 0.3, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21120 + 12001102020101?\nAnswer: 12001101221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 7*d**3\/3 + d**2 + d + 3. Let l(k) = 2*k**2 + 7*k + 4*k**2 + 3 + 16*k**2. Let j(q) = 2*l(q) - 7*r(q). What is j(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.021 - -26.021. Let z = j + -22.5. Let h = 3.500025 - z. What is h rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 + 68 - 3489*c - 223 + 70 to i*c + p and give i.\nAnswer: -3489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 409503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m + 8. Let q(b) = 3*b**2 + 3*b - 4. What is the units digit of q(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -103, -550, -1577, -3418, -6307, -10478, -16165, -23602?\n\"Answer: -39*z**3 - 56*z**2 - 6*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huphuhhttuhhhuhu. Give prob of sequence hhhu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3) + 24\/36)\/(-1). Sort 2, u, 1.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.05. Let p = t + -0.15. Which is the smallest value? (a) -5 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219969570 to the nearest one million.\nAnswer: -220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -1770*n**4 + 11485*n**3 - 19340*n**2 + 6860*n + 80 = 0.\nAnswer: -2\/177, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5136 - -0.4136. Sort -14, -0.3, -2, q in ascending order.\nAnswer: -14, -2, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.054, 612\/13.\nAnswer: -0.1, 0.054, 612\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u - 16*u + 760 = 8*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*p - 30, 3*t + t = 2*p - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-10\/11))\/((h*(((h\/h**(-8)*h)\/h)\/h)\/h)\/h))**(-36\/11) assuming h is positive.\nAnswer: h**(2016\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -616, -796, -966, -1126?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/8 (b) 3\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asssssaassa. What is prob of sequence as?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -2699\/114241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/6)\/((-4)\/(-9)). Suppose -a*w = -6*w + 195. What is the greatest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = -6*l - 145. Let c(t) = 7*t**2 + 6*t - 11. What is the units digit of c(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1318 and ((-104)\/160 - -3) + (4\/5)\/4?\nAnswer: 13180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155996746 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 13*w. What is the smallest common multiple of (w + (1 - 2))*-1 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2506, 4983, 7460?\nAnswer: 9937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-9)))\/m**1)\/(m\/m**1)**(-2\/83) assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 24095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3769658 - -4?\nAnswer: 3769661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 452166451 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 4*y**2 - 2*y + 2. Let k be o(2). Let p = k + 14. What is the greatest common divisor of p and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 150. Suppose -w + a = w. What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2232*h**2 - 2120. Let l(b) = 3*b**2. Determine l(d(k)).\nAnswer: 59781888*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 128?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1441 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.085, -56, -173\/4 in decreasing order.\nAnswer: 0.085, -173\/4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/(-264) + 38 + 6280\/(-165).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22496*o - 21597*o + 76415 for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -4, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 57*x = -7*c + 30*c - 555, -c + 4*x = 45 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2695419 and 2852.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27423 and 100551.\nAnswer: 301653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1890 + -1766.1. Round f to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**2*m**3*r - 38*d**2*m**3 - 13*d**2*m**2*r + 12*d**2*m*r - d*m*r - 2*m**4*r wrt m?\nAnswer: 36*d**2*r - 228*d**2 - 48*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - 1\/4. Let t = 32 - y. What is the highest common factor of t and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h + 5. List the prime factors of p(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36838, 74773, 113812, 153961, 195226, 237613, 281128?\n\"Answer: w**3 + 546*w**2 + 36290*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/6 - 5*n**3\/3 - 42*n**2. Differentiate i(r) wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672134?\nAnswer: 2, 3, 278689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 2*u + 2*u**2 + 4 + 13*u**2 - 6. Let j be k(-1). Suppose -j = -0*a - a. Solve -5*f = 3*y + 2*y + 5, 2*y + a = 2*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -1229?\nAnswer: -1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -367*k + 366*k + 5 - 10 - 25. Determine s(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 15*b + 129. Let m be n(-4). What is the greatest common factor of 207 and m?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -5 (c) 0.4 (d) 1 (e) -13484 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = s - 92. What is the lowest common multiple of s and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 402 - 639. Let s = m - -236.8. What is the nearest to s in -3\/4, -6\/7, -1\/5, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-8 - 2)) + -9 + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13710, -28031, -42352?\nAnswer: -56673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 469708.2l in millilitres?\nAnswer: 469708200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1149 (b) 0.15 (c) 4\/31 (d) -0.2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/401 in 1, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 7, j: 2, q: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -28, -31, -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15972048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*x + 21*x + 14*x + 19*x + 9*x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 9) to base 2\nAnswer: 10010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9035 + 15*t - 9048 + 18064. Calculate v(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149.9 + -172\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/(-9)*(-26)\/(-6) and -36\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27393507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1203, -2392, -3581, -4770, -5959, -7148?\nAnswer: -8337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 3*r - 1. Let f be z(3). Suppose -5*o = -4*j + 100, -18*o - 52 = 5*j - 4*j. Calculate the greatest common factor of f and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 41, 1\/4, -1, -5, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 - l**2 + 0*l**2)*(-l - 2 + 2) - 4*l**3 - l**3 + 4*l**3 as p*l + f*l**3 + x*l**2 + c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**4\/6 + 7*m**3\/6 - 6*m**2. Let w be k(6). Let h be 2\/6*(-8 - w). Solve -1 - 2 = h*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4416 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1704 and -0.4.\nAnswer: 681.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -17*w**4\/12 + w**3\/6 + w**2. Let k be (-14)\/(-21)*3\/(-2). Is q(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124854 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015418175 to seven decimal places.\nAnswer: 0.0001542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t**2 + 2144630*t - 142975 = 0.\nAnswer: 1\/15, 28595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 33247*d**3 + 2*d**2 - 9*d + 7. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7604630*-86\nAnswer: 653998180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2*0)\/(36 - 39). What is the hundreds digit of w + (-6)\/10 + 803\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 4:19 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**5 - h**4 - 4*h**3 - 4*h**2 + 5*h - 5. Let o(r) = -r**5 - r**3 - r**2 + r - 1. Let n(j) = 2*b(j) - 10*o(j). Factor n(x).\nAnswer: -2*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93, -1963, -5073, -9417, -14989, -21783, -29793?\n\"Answer: k**3 - 626*k**2 + k + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*f - 1, 5*f + 4*x - 3*x - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76814584 and 2464?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -75. Suppose -4*o = -n - 109. Suppose 18 = 2*w + 5*r - 9, -w + 2*r = -o. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -13\/30*y**6 - y**2 - 4*y + 1 + 0*y**3 + 0*y**5 - 5\/6*y**4. What is the third derivative of b(g) wrt g?\nAnswer: -312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -2 - (-1 - 2)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 188\/3 + 8\/24. Let d = 135 - g. What is the greatest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away 0.02?\nAnswer: -14.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from rrhvkvzpkppzrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.95 - -0.05. Let m = -333 - -229. Let b = -107 - m. Put b, 5, g, 6 in increasing order.\nAnswer: b, g, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.041652 decades in months?\nAnswer: 964.99824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**6*y - 1344*p**4*y**3 + 362*p**2*y**3 + p**2*y - 21*y**2 - 6*y wrt p?\nAnswer: -120*p**3*y - 32256*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 1 a when three letters picked without replacement from apatnppanpapn.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7 + 7 + 1818*a**2. Let s be d(1). Let z = s + -20041\/11. Find the common denominator of z and 35\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -89, -26, 59, 172, 319?\n\"Answer: f**3 + 5*f**2 + 41*f - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 + 103. Let k = -50 - m. What is the lowest common multiple of 45 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 19*i + 17*i = -42, 22 = y - 2*i. Suppose -2*z - 4*z = 0. Solve c + 3*c - y = z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5886369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 - 5*f**4 + 2*f**4 + (68*f - 1 - 3 - 67*f)*(-2*f**3 + f**3 + 4*f**3).\nAnswer: -3*f**4 - 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*((-1)\/161)\/((-140)\/(-1470))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let t(g) be the third derivative of 0 + 0*g**4 + 2*g**2 - 1\/60*g**5 - 1\/6*g**3 + 0*g. Let m(q) = i(q) + t(q). Factor m(z).\nAnswer: -(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 2*k**4 - 3*k**5 + (-2*k**2 - 2*k**2 + k**2)*(-2*k**3 - k**3 + k**3) + 3*k**5 - 2*k**5 - 3*k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/255 - (-4)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*l**3 + 195*l**3 + 187*l**3 - 100*l**3 - 207*l**3.\nAnswer: 352*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1657 - -1647. Let y be (-4)\/42 - (n\/105 - 3). Find o, given that 0 + 3\/4*o**y + 3\/4*o**2 - 3\/2*o = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*a + 10 + 17, 3*a + 12 = 4*v. Let j(s) = -s**2 - 12*s - 34. Let n be j(a). Which is bigger: n or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l + l)*(l + 0*l - 3*l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (3 - 1) + (-25 - -24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**2 + 84868006*a - 84868006*a - 1197.\nAnswer: 20*a**2 - 1197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 425793307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341 - -43?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -13\/48*u**4 - 5*u + 0*u**2 + 1\/16*u**5 + 0 - 1\/4*u**3. Suppose z(l) = 0. Calculate l.\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 6 - (-6 + 29)) + 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156425494 to the power of 1\/2, to the nearest integer?\nAnswer: 12507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 + 15 = 4*i, 5*c - 12 = 2*i. Suppose -2*u = -c - 10. What is the smallest common multiple of u and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.3 (c) 10 (d) -0.1 (e) 2\/11 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 563 + -264550?\nAnswer: -263876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5444 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.3 - -4. Let h = 622 - 627. What is the nearest to 3\/23 in h, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -601662, -601658, -601654, -601650, -601646?\nAnswer: -601642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/93 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 140873670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1000*o - 2786 - 14888 - 326 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, j: 1, w: 1, q: 7}. What is prob of picking 1 j, 1 w, and 2 q?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzjz when four letters picked without replacement from {z: 9, j: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - l + 6 = 5*s, 2*s - 12 = 4*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2 - 3 + a**2 + 3 + 3 with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -84. Let y = 2.7 - 3. Which is the smallest value? (a) y (b) -17 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4728*d + 2356*d + 5316*d + 569*d + 1212*d)*(-4*d + 6*d - d).\nAnswer: 14181*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4234818 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*r**3 + 261*r**3 + 234*r**3 - 962*r**3 + 234*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139\/2*(-15 + 1 - -46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**2)\/i*i)\/i)\/(i*i\/i**(1\/2)))**39*(i**(1\/8)*i*i**(-6))\/((i**(-2\/5)\/i)\/i**(-2)) assuming i is positive.\nAnswer: i**(561\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 10514275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20606596*h**3 - 9852*h**2 + 22*h + 22.\nAnswer: 123639576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 784252803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*j - 8939140 + 8936588 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434113?\nAnswer: 434113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -44.72. Let k = -1.72 - x. Sort 3, k, 3\/8.\nAnswer: k, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 6*g**2 - 4*g + 4. Let m be y(-4). Suppose -7 = -5*k - m. Which is the third smallest value? (a) 0 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39070350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 2*w - 4. Let t be k(-3). Suppose 3*c - 149 = -2*u, 5*c - 265 = -3*u - t. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-15) - 1)*30. Suppose 15*k - 138 = -31*k. Find o such that -20*o**k + 11*o**2 + i*o**4 - 23*o**2 + 28*o - 20*o = 0.\nAnswer: -2\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2277*h**6 - 126*h**4 + 3499*h**2 + 69*h wrt h.\nAnswer: -273240*h**3 - 3024*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 12. Let f be v(-9). Suppose 5*x - f*a + 6*a = 2008, 5*x - a = 2024. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257312 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63360119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 33 + 15\/2*y**2 - 5\/3*y**3 + 0*y. Factor j(n).\nAnswer: -5*n*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -33. Suppose 7*n = u*n - 55. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 904.9 - 81061.\nAnswer: -80156.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4749 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*s = 12, -8 = -2*s + 4*s. Let w be 24\/60*(x - -1). What is the third smallest value in w, 4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45983340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e + -18?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077.67 rounded to the nearest ten?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/720 and 7\/1770.\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 - 543070*o**3 - 2172220*o**2 - 2172200*o = 0.\nAnswer: -108610, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + -2 - (0 - 144)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 13*w**2 - 8*w + 28. Let n(o) = -o**3 + 15*o**2 - 10*o - 68. Let b be n(14). What is v(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 - (-13301)\/(-188) - (-1 - 1542\/8) is divided by 88?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215b0 (base 14) to base 5\nAnswer: 10040320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}